Sample: All Data Dataset: Handwriting2/Examples Spring 2007 Anon Student Id Session Id Time Time Zone Student Response Type Student Response Subtype Tutor Response Type Tutor Response Subtype Level(Unit) Level(Section) Problem Name Step Name Attempt At Step Outcome Selection Action Input Feedback Text Feedback Classification Help Level Total # Hints Condition Name Condition Type KC(Default) KC Category(Default) KC(Default) KC Category(Default) KC(Default) KC Category(Default) KC(Default) KC Category(Default) School Class 0I891Gg session0 2007-04-26 08:33:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:34:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check 3.572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:34:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:36:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 56 = -80y+(-5) strategic 1 OK answer-check -61/80 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:39:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -21.88 = 50.37+10.46x strategic 1 OK answer-check -6.9073 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:44:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 87.1x+(-68.22) = -98.34 strategic 1 ERROR answer-check -1.579 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:53:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 87.1x+(-68.22) = -98.34 strategic 2 ERROR answer-check -0.52 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:54:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 87.1x+(-68.22) = -98.34 strategic 3 ERROR answer-check 2.28 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:54:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 87.1x+(-68.22) = -98.34 strategic 4 OK answer-check -0.3458 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:56:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -1453y+(-361) = -4427 strategic 1 OK answer-check 2.798 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:57:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -4+14y = 76 strategic 1 ERROR answer-check 20 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:58:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -4+14y = 76 strategic 2 OK answer-check 5.7142 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:59:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -12.63 = 1.73+13.68y strategic 1 OK answer-check -1.04970 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 08:59:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -38 = -17y+(-93) strategic 1 OK answer-check -3.2352 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:00:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 29 = 56+47y strategic 1 OK answer-check -0.57446 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:02:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A 1.32+4.88x = 14.75 strategic 1 OK answer-check 2.752049 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:03:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -1.93+(-7.08y) = 12.93 strategic 1 OK answer-check -2.0988 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:16:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 73+(-63/x) = 0 strategic 1 OK answer-check 0.8630 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:18:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 4+23/x = -85 strategic 1 ERROR answer-check 0.258426 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:19:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 4+23/x = -85 strategic 2 ERROR answer-check -3.869 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:20:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 4+23/x = -85 strategic 3 OK answer-check -0.2584 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:21:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -110 = -583/y+(-963) strategic 1 ERROR answer-check 0.683470 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:22:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -110 = -583/y+(-963) strategic 2 ERROR answer-check 1.463 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:23:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -110 = -583/y+(-963) strategic 3 OK answer-check -0.68347 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:23:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 50/y+84 = -77 strategic 1 OK answer-check -0.31055 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:25:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 949 = 872+946/x strategic 1 OK answer-check 12.285 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:26:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -89 = 37+(-84/y) strategic 1 ERROR answer-check 1.615 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:27:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -89 = 37+(-84/y) strategic 2 OK answer-check 0.666666 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:28:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 37+2/x = -24 strategic 1 ERROR answer-check 0.03278 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:28:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 37+2/x = -24 strategic 2 ERROR answer-check -30.5 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:29:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 37+2/x = -24 strategic 3 OK answer-check -0.0327 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:29:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 475+962/x = 810 strategic 1 ERROR answer-check 2.897 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:30:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 475+962/x = 810 strategic 2 OK answer-check 2.87164 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:30:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -460 = 108+20/x strategic 1 OK answer-check -0.035211267 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:31:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 60/y+(-98) = 72 strategic 1 OK answer-check 0.3529 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:31:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -30 = 86+(-20/x) strategic 1 ERROR answer-check 0.1274 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:32:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -30 = 86+(-20/x) strategic 2 OK answer-check 0.1724 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:33:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -33 = -94/y+(-37) strategic 1 OK answer-check -23.5 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:34:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -375/x+959 = 226 strategic 1 OK answer-check 0.5115 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 0I891Gg session0 2007-04-26 09:36:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 216 = 546+(-510/y) strategic 1 OK answer-check 1.545 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:31:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 47+40/y = -70 strategic 1 ERROR answer-check -4680 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:32:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 47+40/y = -70 strategic 2 ERROR answer-check -2.925 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:34:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 47+40/y = -70 strategic 3 ERROR answer-check 2.925 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:34:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 47+40/y = -70 strategic 4 OK answer-check -0.34188 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:36:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -57+(-98/y) = -83 strategic 1 OK answer-check 3.7692 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:36:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 15+57/y = -27 strategic 1 OK answer-check -1.3571 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:37:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 3+10y = 4y+10 strategic 1 OK answer-check 7/6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:38:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1x+7 = -10x+5 strategic 1 ERROR answer-check -11/2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:39:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1x+7 = -10x+5 strategic 2 ERROR answer-check 2/-11 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:39:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1x+7 = -10x+5 strategic 3 ERROR answer-check -4.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:40:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1x+7 = -10x+5 strategic 4 OK answer-check -0.222 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:40:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7x+3 = 3x+(-2) strategic 1 ERROR answer-check -1/4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:41:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7x+3 = 3x+(-2) strategic 2 ERROR answer-check 1/4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:41:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7x+3 = 3x+(-2) strategic 3 ERROR answer-check -1/10 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:42:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7x+3 = 3x+(-2) strategic 4 OK answer-check 0.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:43:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2+(-10x) = -8x+6 strategic 1 ERROR answer-check -0.44444 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:44:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2+(-10x) = -8x+6 strategic 2 OK answer-check -4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:44:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5x+(-6) = -5+(-10x) strategic 1 ERROR answer-check -1/2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:45:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5x+(-6) = -5+(-10x) strategic 2 ERROR answer-check 11/15 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:46:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5x+(-6) = -5+(-10x) strategic 3 ERROR answer-check 1/15 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:47:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5x+(-6) = -5+(-10x) strategic 4 OK answer-check 0.2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:48:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 6+(-10y) = -4+(-6y) strategic 1 OK answer-check 2.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:48:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-4) = -2y+3 strategic 1 ERROR answer-check -.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:48:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-4) = -2y+3 strategic 2 ERROR answer-check -1/2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:49:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-4) = -2y+3 strategic 3 ERROR answer-check 3.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:50:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-4) = -2y+3 strategic 4 OK answer-check 1.1667 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:50:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 6+(-1x) = -7x+(-2) strategic 1 ERROR answer-check -1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:51:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 6+(-1x) = -7x+(-2) strategic 2 ERROR answer-check -.75 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:52:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 6+(-1x) = -7x+(-2) strategic 3 ERROR answer-check -0.75 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:53:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 6+(-1x) = -7x+(-2) strategic 4 OK answer-check -1.33333333 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:53:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+(-3) = -9+8y strategic 1 ERROR answer-check -3 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:57:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+(-3) = -9+8y strategic 2 ERROR answer-check 1.66666666 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:57:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+(-3) = -9+8y strategic 3 OK answer-check .6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 08:59:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+(-2) = -3y+(-8) strategic 1 ERROR answer-check -0.8571 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:00:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+(-2) = -3y+(-8) strategic 2 ERROR answer-check 1.428 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:01:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+(-2) = -3y+(-8) strategic 3 ERROR answer-check .85714 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:02:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+(-2) = -3y+(-8) strategic 4 OK answer-check 6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:03:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 1 ERROR answer-check 0 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:03:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 2 ERROR answer-check 1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:03:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 3 ERROR answer-check -1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:04:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 4 ERROR answer-check 0y condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:08:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 5 ERROR answer-check 0 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:08:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+1y = -6+1y strategic 6 ERROR answer-check 6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:10:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7+(-5y) = 8y+(-1) strategic 1 ERROR answer-check -1.625 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:10:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7+(-5y) = 8y+(-1) strategic 2 ERROR answer-check -0.375 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:15:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7+(-5y) = 8y+(-1) strategic 3 ERROR answer-check .375 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:16:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7+(-5y) = 8y+(-1) strategic 4 OK answer-check -6/13 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:17:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+7y = 10y+(-6) strategic 1 ERROR answer-check 2.5 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:20:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+7y = 10y+(-6) strategic 2 ERROR answer-check 0.428 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:20:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+7y = 10y+(-6) strategic 3 ERROR answer-check -0.428 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:20:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+7y = 10y+(-6) strategic 4 OK answer-check 2.333333 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:21:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-9) = 8+(-8y) strategic 1 ERROR answer-check -17/12 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:21:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-9) = 8+(-8y) strategic 2 ERROR answer-check 12/-17 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:31:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-9) = 8+(-8y) strategic 3 ERROR answer-check 0.70588 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:31:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4y+(-9) = 8+(-8y) strategic 4 OK answer-check 1.4167 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:32:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2x+1 = -1+4x strategic 1 ERROR answer-check 1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:33:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2x+1 = -1+4x strategic 2 ERROR answer-check 6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:33:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2x+1 = -1+4x strategic 3 ERROR answer-check -6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:33:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2x+1 = -1+4x strategic 4 OK answer-check 0.3333333333333333333333333333333333 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 0I891Gg session1 2007-05-03 09:34:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -9x+1 = 9x+(-8) strategic 1 ERROR answer-check -9 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 11bcfV8 session0 2007-04-16 13:26:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:26:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:26:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:26:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 9.84 = -9.54+(-5.15y) strategic 1 OK subtract -9.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:27:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 19.38 = -5.15y strategic 1 OK divide -5.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:27:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 9.84 = -9.54+(-5.15y) strategic 2 OK answer-check -3.7631 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:28:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 39y+(-77) = -24 strategic 1 OK add 77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 39y = 53 strategic 1 BUG divide 53 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 39y+(-77) = -24 strategic 2 OK subtract -77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:29:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 39y = 53 strategic 2 OK divide 39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:29:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 39y+(-77) = -24 strategic 3 OK answer-check 53/39 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:30:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 7.36 = 3.23+(-1.72x) strategic 1 OK subtract 3.23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:30:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 4.13 = -1.72x strategic 1 OK divide -1.72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:30:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 7.36 = 3.23+(-1.72x) strategic 2 OK answer-check -2.4012 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:30:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8885+2030x = -4754 strategic 1 OK subtract 8885 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:30:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 2030x = -13639 strategic 1 OK divide 2030 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:31:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8885+2030x = -4754 strategic 2 OK answer-check -13639/2030 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:31:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 77.64y+(-76.28) = 36.6 strategic 1 OK subtract -76.28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:32:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 77.64y = 112.88 strategic 1 OK divide 77.64 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:32:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 77.64y+(-76.28) = 36.6 strategic 2 OK answer-check 1.4539 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:32:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18 = -99.6 strategic 1 OK subtract 12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:33:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18-12.18 = -99.6-12.18 left 1 OK left 11.54y+12.18-12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18-12.18 = -99.6-12.18 right 1 OK right -111.78 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18-12.18 = -111.78 strategic 1 OK clt 11.54y+12.18-12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y1R1 strategic 1 OK 11.54y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 constant terms1R1 strategic 1 OK +12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 constant terms2R1 strategic 1 OK -12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:34:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 FinalAnswer strategic 1 OK 11.54y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:35:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 yR2 strategic 1 OK 11.54y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:35:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 FinalAnswer strategic 2 OK 11.54y+0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 FinalAnswer strategic 3 OK 11.54y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:38:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18-12.18 = -111.78 strategic 2 OK clt 11.54y+12.18-12.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:38:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y = -111.78 strategic 1 OK divide 11.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:38:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y/11.54 = -111.78/11.54 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:39:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = -111.78/11.54 right 1 OK right -9.6863 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session0 2007-04-16 13:40:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 11.54y+12.18 = -99.6 strategic 2 OK answer-check -9.6863 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:51:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x+(-59) = 36 strategic 1 OK subtract -59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x+(-59)-(-59) = 36-(-59) left 1 OK left 59x+(-59)-(-59) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x-59+59 = 36-(-59) right 1 OK right 95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x-59+59 = 95 strategic 1 OK clt 59x-59+59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x1R1 strategic 1 OK 59x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant terms1R1 strategic 1 OK -59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant terms2R1 strategic 1 OK +59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 xR2 strategic 1 OK 59x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 1 OK 59x condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x-59+59 = 95 strategic 2 OK clt 59x-59+59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x = 95 strategic 1 OK divide 59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:53:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x/59 = 95/59 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:54:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 95/59 right 1 OK right 1.6101 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:55:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 59x+(-59) = 36 strategic 2 OK answer-check 1.6102 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:55:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 2.48 = -3.08x+13.31 strategic 1 OK subtract 13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:55:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 2.48-13.31 = -3.08x+13.31-13.31 right 1 OK right -3.08x+13.31-13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 2.48-13.31 = -3.08x+13.31-13.31 left 1 OK left -10.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.83 = -3.08x+13.31-13.31 strategic 1 OK clt -3.08x+13.31-13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x1R1 strategic 1 OK -3.08x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C constant terms1R1 strategic 1 OK +13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C constant terms2R1 strategic 1 BUG  13.31 Be sure to select both the term and the negative sign in front of it. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C constant terms2R1 strategic 2 OK -13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:56:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C FinalAnswer strategic 1 OK -3.08x condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:57:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.83 = -3.08x+13.31-13.31 strategic 2 OK clt -3.08x+13.31-13.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:57:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.83 = -3.08x strategic 1 OK divide -3.08 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:57:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.83/-3.08 = -3.08x/-3.08 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:57:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.83/-3.08 = x left 1 OK left 3.5162 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:58:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 2.48 = -3.08x+13.31 strategic 2 OK answer-check 3.5162 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:58:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 420 = 954+783/y strategic 1 OK subtract 954 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 12:59:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -534 = 783/y strategic 1 ERROR divide 783y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:00:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -178/(261y) = (1/y)^2 strategic 1 ERROR rds -178/(261y) = (1/y)^2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:00:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -178/(261y) = (1/y)^2 strategic 2 ERROR rf -178/(261y) = (1/y)^2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:01:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 420 = 954+783/y strategic 2 OK subtract 954 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:01:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -534 = 783/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:01:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -534y = 783 strategic 1 OK divide -534 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:01:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 420 = 954+783/y strategic 3 OK answer-check -261/178 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -47 = 250+452/y strategic 1 OK subtract 250 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:02:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -297 = 452/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:02:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -297y = 452 strategic 1 OK divide -297 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -47 = 250+452/y strategic 2 OK answer-check -452/297 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:03:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -7 = 30/y+69 strategic 1 OK subtract 69 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:03:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -76 = 30/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:03:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -76y = 30 strategic 1 OK divide -76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:03:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -7 = 30/y+69 strategic 2 OK answer-check -15/38 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:04:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -84/y+(-45) = -93 strategic 1 OK subtract -45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:04:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -84/y = -48 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:04:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -84 = -48y strategic 1 OK divide -48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:04:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -84/y+(-45) = -93 strategic 2 OK answer-check 7/4 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:04:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y = -266 strategic 1 OK subtract 805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y-805 = -266-805 right 1 OK right -1071 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y-805 = -1071 left 1 OK left 805+946/y-805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y-805 = -1071 strategic 1 OK clt 805+946/y-805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/y1R1 strategic 1 BUG 805 805
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 805, is not one of the 1/y terms. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/y1R1 strategic 2 OK +946/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant terms2R1 strategic 1 OK -805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant terms1R1 strategic 1 OK 805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:05:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 1 BUG 946y 946y
Perhaps you should fill in all the 1/y terms above. BUG condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:06:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 2 BUG 946y1/y 946y1/y
Perhaps you should fill in all the 1/y terms above. BUG condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:06:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 3 BUG 946 1/y 946 1/y
Perhaps you should fill in all the 1/y terms above. BUG condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:06:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/yR2 strategic 1 ERROR 1/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:07:02.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59A 1/yR2 strategic 2 INITIAL_HINT 1/y In the group above, you have [+946/y]. Type [+946/y] here. HINT 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:07:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/yR2 strategic 3 OK 946/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:07:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 4 OK 946/y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:07:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y-805 = -1071 strategic 2 OK clt 805+946/y-805 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:07:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946/y = -1071 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:08:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946/y*y = -1071y left 1 OK left 946 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946 = -1071y right 1 OK right -1071y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:08:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946 = -1071y strategic 1 OK divide -1071 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:08:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946/-1071 = -1071y/-1071 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:08:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 946/-1071 = y left 1 OK left -0.8832 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:09:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 805+946/y = -266 strategic 2 OK answer-check -0.8833 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:09:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y) = -30 strategic 1 OK subtract 58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:09:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y)-58 = -30-58 right 1 OK right -88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y)-58 = -88 left 1 OK left 58+(-56/y)-58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58-56/y-58 = -88 strategic 1 OK clt 58-56/y-58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/y1R1 strategic 1 BUG  56/y Be sure to select both the term and the negative sign in front of it. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/y1R1 strategic 2 OK -56/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms2R1 strategic 1 OK -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms1R1 strategic 1 OK 58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/yR2 strategic 1 OK -56/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:10:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58-56/y-58 = -88 strategic 2 OK clt 58-56/y-58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56/y = -88 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56/y*y = -88y left 1 OK left -56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56 = -88y right 1 OK right -88y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56 = -88y strategic 1 OK divide -88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56/-88 = -88y/-88 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:11:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56/-88 = y left 1 OK left 0.6590 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:12:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y) = -30 strategic 2 ERROR answer-check 0.659 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:12:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y) = -30 strategic 3 ERROR answer-check 0.6590 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:14:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56 = -88y strategic 2 OK divide -88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -56/-88 = -88y/-88 left 1 OK left 0.6363 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:14:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.63636364 = -88y/-88 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:14:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 58+(-56/y) = -30 strategic 4 OK answer-check 0.6363 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:16:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0 = -22/x+(-10) strategic 1 OK subtract -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0-(-10) = -22/x+(-10)-(-10) left 1 OK left -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10 = -22/x+(-10)-(-10) right 1 OK right -22/x+(-10)-(-10) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10 = -22/x-10+10 strategic 1 OK clt -22/x-10+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/x1R1 strategic 1 OK -22/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms1R1 strategic 1 OK -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms2R1 strategic 1 OK +10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/xR2 strategic 1 OK -22/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10 = -22/x-10+10 strategic 2 OK clt -22/x-10+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10 = -22/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10x = -22/x*x left 1 OK left -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10x = -22/x*x right 1 OK right -22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10x = -22 strategic 1 OK divide -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10x/-10 = -22/-10 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -22/-10 right 1 OK right 2.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0 = -22/x+(-10) strategic 2 ERROR answer-check 2.2 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:20:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0 = -22/x+(-10) strategic 3 ERROR answer-check 22 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:27:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0 = -22/x+(-10) strategic 4 OK answer-check -2.2 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session1 2007-04-20 13:32:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -7+96/y strategic 1 OK subtract -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:50:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94-(-7) = -7+96/y-(-7) right 1 OK right 7+96/y-(-7) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94-(-7) = 7+96/y-(-7) left 1 OK left 101 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = 7+96/y-(-7) strategic 1 OK clt 7+96/y-(-7) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/y1R1 strategic 1 OK +96/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms1R1 strategic 1 OK +7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms2R1 strategic 1 OK 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant termsR2 strategic 1 OK 14 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:51:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/yR2 strategic 1 ERROR 96y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:52:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/yR2 strategic 2 OK 96/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:52:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 1 OK 96/y+14 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:52:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = 7+96/y-(-7) strategic 2 OK clt 7+96/y-(-7) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:52:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = 14+96/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -7+96/y strategic 1 OK subtract -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -7+96/y strategic 2 ERROR clt 94 = -7+96/y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -7+96/y strategic 3 OK subtract -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94-(-7) = -7+96/y-(-7) left 1 OK left 101 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = -7+96/y-(-7) right 1 OK right -7+96/y-(-7) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = -7+96/y+7 strategic 1 OK clt -7+96/y+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101 = 96/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101y = 96/y*y left 1 OK left 101y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101y = 96/y*y right 1 OK right 96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101y = 96 strategic 1 OK divide 101 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 101y/101 = 96/101 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 96/101 right 1 OK right 0.95049 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:54:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -7+96/y strategic 4 OK answer-check 0.9505 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:55:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 262 = -116/x+505 strategic 1 OK subtract 505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 262-505 = -116/x+505-505 right 1 OK right -116/x+505-505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 262-505 = -116/x+505-505 left 1 OK left -243 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243 = -116/x+505-505 strategic 1 OK clt -116/x+505-505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/x1R1 strategic 1 OK -116/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant terms1R1 strategic 1 OK +505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant terms2R1 strategic 1 OK -505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1/xR2 strategic 1 OK -116/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 1 OK -116/x condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243 = -116/x+505-505 strategic 2 OK clt -116/x+505-505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243 = -116/x+505-505 strategic 3 OK clt -116/x+505-505 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243 = -116/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:56:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243x = -116/x*x right 1 OK right -116 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:57:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243x = -116 left 1 OK left -243x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:57:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243x = -116 strategic 1 OK divide -243 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:57:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -243x/-243 = -116/-243 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:57:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -116/-243 right 1 OK right 0.4773 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:57:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 262 = -116/x+505 strategic 2 OK answer-check 0.4773 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y+(-47) = -64 strategic 1 OK subtract -47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:58:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y+(-47)-(-47) = -64-(-47) left 1 OK left -2/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y+(-47) = -64 strategic 2 OK subtract -47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:58:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y+(-47)-(-47) = -64-(-47) left 2 OK left -2/y+(-47)-(-47) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y-47+47 = -64-(-47) right 1 OK right -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y-47+47 = -17 strategic 1 OK clt -2/y-47+47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/y1R1 strategic 1 OK -2/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms1R1 strategic 1 OK -47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant terms2R1 strategic 1 OK +47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1/yR2 strategic 1 OK -2/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 1 OK -2/y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y-47+47 = -17 strategic 2 OK clt -2/y-47+47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 12:59:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y = -17 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y*y = -17y left 1 OK left -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2 = -17y right 1 OK right -17y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2 = -17y strategic 1 OK divide -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/-17 = -17y/-17 left 1 OK left 0.11764 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.11764706 = -17y/-17 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:00:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -2/y+(-47) = -64 strategic 3 OK answer-check 0.1176 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+(-6) = 6+9y strategic 1 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y = 12+9y strategic 1 OK subtract 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -17y = 12 strategic 1 ERROR clt -17y = 12 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -17y = 12 strategic 2 OK divide -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 y = -12/17 strategic 1 BUG rds y = -12/17 strategic You already solved the equation. y is -12/17. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 y = -12/17 strategic 2 BUG rf y = -12/17 strategic You already solved the equation. y is -12/17. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:03:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+(-6) = 6+9y strategic 2 OK answer-check -12/17 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+6x = 8+(-7x) strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:03:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6x = 6-7x strategic 1 ERROR subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:04:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -x = 6-14x strategic 1 ERROR clt -x = 6-14x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:06:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+6x = 8+(-7x) strategic 2 OK add 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:06:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+13x = 8 strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:06:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 13x = 6 strategic 1 OK divide 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:06:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 x = 6/13 strategic 1 BUG rf x = 6/13 strategic You already solved the equation. x is 6/13. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+6x = 8+(-7x) strategic 3 OK answer-check 6/13 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1x+1 = 5x+7 strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1x+1 = 5x+7 strategic 2 BUG subtract -1 To remove 1 from the both side, you can subtract a positive from it. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1x+1 = 5x+7 strategic 3 OK add 1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1 = 6x+7 strategic 1 OK subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6 = 6x strategic 1 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:07:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1x+1 = 5x+7 strategic 4 OK answer-check -1 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:08:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y+(-1) = 4+7y strategic 1 OK subtract 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:08:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3y-1 = 4 strategic 1 OK add 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:08:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3y = 5 strategic 1 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:08:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y+(-1) = 4+7y strategic 2 OK answer-check -5/3 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x) = -1+(-10x) strategic 1 ERROR add -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x)+(-10x) = -1+(-10x)+(-10x) left 1 OK left -3+(-7x)+(-10x) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:09:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-7x-10x = -1+(-10x)+(-10x) right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:09:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-7x-10x = -1 strategic 1 OK clt -3-7x-10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x1R1 strategic 1 OK -7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms1R1 strategic 1 OK -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x2R1 strategic 1 OK -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 xR2 strategic 1 OK -17x condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant termsR2 strategic 1 OK -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 OK -17x+-3 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:10:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-7x-10x = -1 strategic 2 OK clt -3-7x-10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:11:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-17x = -1 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-17x+(-3) = -1+(-3) right 1 OK right -4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:12:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-17x+(-3) = -4 left 1 OK left -3-17x+(-3) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:12:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3-17x-3 = -4 strategic 1 OK clt -3-17x-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x) = -1+(-10x) strategic 2 OK add 10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:17:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x)+10x = -1+(-10x)+10x right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:18:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x)+10x = -1 left 1 OK left -3+3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:18:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+3x = -1 strategic 1 OK subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:18:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+3x-(-3) = -1-(-3) right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+3x-(-3) = 2 left 1 OK left -3+3x-(-3) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+3x+3 = 2 strategic 1 OK clt -3+3x+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3x = 2 strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3x/3 = 2/3 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 2/3 right 1 OK right 0.666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:19:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-7x) = -1+(-10x) strategic 3 OK answer-check 0.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:20:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 1 OK subtract -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:20:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 2 OK subtract 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:21:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2-7y = 9y+(-6)-7y left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:22:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 9y+(-6)-7y right 1 OK right 9y+-13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:22:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 9y+(-13) strategic 1 OK subtract -13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2-(-13) = 9y+(-13)-(-13) left 1 OK left 15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = 9y+(-13)-(-13) right 1 OK right 9y+(-13)-(-13) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = 9y-13+13 strategic 1 OK clt 9y-13+13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y1R1 strategic 1 OK 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms1R1 strategic 1 OK -13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms2R1 strategic 1 OK +13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 yR2 strategic 1 OK 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 OK 9y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = 9y-13+13 strategic 2 OK clt 9y-13+13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = 9y strategic 1 OK divide 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:23:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15/9 = 9y/9 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:24:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15/9 = y left 1 OK left 1.666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:24:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 3 ERROR answer-check 1.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:24:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 4 ERROR answer-check -1.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:25:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 5 OK add -7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2+(-7y) = 9y+(-6)+(-7y) left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 9y+(-6)+(-7y) right 1 OK right 9y+13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 9y+13 strategic 1 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2-13 = 9y+13-13 left 1 OK left -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11 = 9y+13-13 right 1 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11 = 9y strategic 1 OK divide 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:26:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11/9 = 9y/9 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:27:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11/9 = y left 1 OK left -1.2222 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:27:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 6 ERROR answer-check -1.2222 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:27:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 7 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:28:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2-2 = 9y+(-6)-2 right 1 OK right 9y+-8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:28:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2-2 = 9y+(-8) left 1 OK left 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:28:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 9y+(-8) strategic 1 ERROR subtract -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:29:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 8 ERROR answer-check 45555 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:30:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+2 = 9y+(-6) strategic 9 OK answer-check 4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:31:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 1 OK subtract -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:31:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y-(-8) = -10y+(-2)-(-8) left 1 OK left 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:31:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -10y+(-2)-(-8) right 1 OK right -10y+6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:31:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -10y+6 strategic 1 OK subtract -10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:31:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y-(-10y) = -10y+6-(-10y) left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -10y+6-(-10y) right 1 OK right -10+6-(-10y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -10+6-(-10y) strategic 1 OK clt -10+6-(-10y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms1R1 strategic 1 OK -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms2R1 strategic 1 OK +6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y1R1 strategic 1 OK +10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:32:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -10+6-(-10y) strategic 2 OK clt -10+6-(-10y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:33:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -4-(-10y) strategic 1 BUG add -4 To remove -4 from the right side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:33:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y+(-4) = -4-(-10y)+(-4) left 1 OK left -4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:34:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -4-(-10y)+(-4) right 1 OK right -4-(-10y)+(-4) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:34:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -4+10y-4 strategic 1 OK clt -4+10y-4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:35:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 2 ERROR answer-check -0.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:35:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 3 ERROR answer-check 555 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:38:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 4 OK subtract -10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:38:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y-(-10y) = -10y+(-2)-(-10y) right 1 OK right -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:38:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y-(-10y) = -2 left 1 OK left -8+10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -2 strategic 1 OK subtract -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y-(-8) = -2-(-8) right 1 OK right 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y-(-8) = 6 left 1 OK left -8+10y-(-8) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y+8 = 6 strategic 1 OK clt -8+10y+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = 6 strategic 1 OK divide 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y/10 = 6/10 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6/10 right 1 OK right 0.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session2 2007-04-23 13:39:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 5 ERROR answer-check 0.6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:50:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 1 ERROR add 83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 2 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:51:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y+8 = -10y+(-2)+8 right 1 OK right -10Y+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y+8 = -10Y+10 left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = -10Y+10 strategic 1 OK subtract 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2-10 = -10Y+10-10 left 1 OK left -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8 = -10Y+10-10 right 1 OK right -10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8 = -10y strategic 1 OK divide -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:52:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8/-10 = -10y/-10 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8/-10 = y left 1 OK left 0.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 3 ERROR answer-check 0.8 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:53:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8+10y = -10y+(-2) strategic 4 OK answer-check 0.3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y = 2+8y strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:55:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y-2 = 2+8y-2 left 1 OK left 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 2+8y-2 right 1 OK right 2+8y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 2+8y strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4-2 = 2+8y-2 left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 2+8y-2 right 1 OK right 8y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2 = 8y strategic 1 OK divide 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2/8 = 8y/8 left 1 OK left 0.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:56:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0.25 = 8y/8 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:57:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y = 2+8y strategic 2 ERROR answer-check 0.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:57:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y = 2+8y strategic 3 ERROR answer-check 0.2253 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:57:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y = 2+8y strategic 4 ERROR answer-check 0.2343563 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:58:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+4y = 2+8y strategic 5 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+3 = 3+(-3y) strategic 1 OK subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:58:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+3-3 = 3+(-3y)-3 left 1 OK left 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = 3+(-3y)-3 right 1 OK right -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:59:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+3 = 3+(-3y) strategic 2 OK subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:59:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+3-3 = 3+(-3y)-3 left 2 OK left 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = 3+(-3y)-3 right 2 OK right -3y+0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:59:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = -3y+0 strategic 1 OK unnec-elems 2y=-3y+0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 12:59:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = -3y strategic 1 ERROR subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y-(-3) = -3y-(-3) left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -3y-(-3) right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 0 strategic 1 OK divide -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y/-1 = 0/-1 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 0/-1 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:00:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+3 = 3+(-3y) strategic 3 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:01:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y+(-2) = 0+7y strategic 1 OK subtract -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:01:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y+(-2)-(-2) = 0+7y-(-2) left 1 OK left -2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:02:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y = 0+7y-(-2) right 1 OK right 2+7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:02:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y = 2+7y strategic 1 OK subtract 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:02:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y-7y = 2+7y-7y left 1 OK left -9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:02:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 2+7y-7y right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 2 strategic 1 OK divide -9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:03:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y/-9 = 2/-9 right 1 OK right -0.222 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:03:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y/-9 = -0.22222222 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:03:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y+(-2) = 0+7y strategic 2 OK answer-check -0.2222 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:03:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 1 OK subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x)-(-3) = -3+7x-(-3) right 1 OK right 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:04:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x)-(-3) = 7x left 1 OK left 3-(-2x) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:04:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3-(-2x) = 7x strategic 1 ERROR subtract -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:04:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3-(-2x)-(-2x) = 7x-(-2x) left 1 OK left 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 7x-(-2x) right 1 OK right 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 9x strategic 1 OK divide 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3/9 = 9x/9 left 1 OK left 0.3333 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0.33333333 = 9x/9 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 2 ERROR answer-check 0.3333 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:05:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 3 OK subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:08:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x)-(-3) = -3+7x-(-3) right 2 OK right 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:09:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x)-(-3) = 7x left 2 OK left 4x-(-3) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:09:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x-(-3) = 7x strategic 1 ERROR clt 4x-(-3) = 7x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:10:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x-(-3) = 7x strategic 2 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:10:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x-(-3) = 7x strategic 3 OK subtract 4x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x-(-3)-4x = 7x-4x left 1 OK left -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:10:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3 = 7x-4x right 1 OK right 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:10:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3 = 3x strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:11:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3/3 = 3x/3 right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:11:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3/3 = -1 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:11:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 4 ERROR answer-check -1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:11:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 5 ERROR answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:11:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+(-2x) = -3+7x strategic 6 OK answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:13:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6 = 6x+(-10) strategic 1 OK subtract 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6-6 = 6x+(-10)-6 left 1 OK left -1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 6x+(-10)-6 right 1 OK right 6x+-16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 6x+(-16) strategic 1 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x-6x = 6x+(-16)-6x left 1 OK left -1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 6x+(-16)-6x right 1 OK right -16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = -16 strategic 1 OK divide -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x/-1 = -16/-1 right 1 OK right 16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x/-1 = 16 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:14:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6 = 6x+(-10) strategic 2 ERROR answer-check 16 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:15:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6 = 6x+(-10) strategic 3 ERROR answer-check -16 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:16:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6 = 6x+(-10) strategic 4 OK subtract -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6-(-10) = 6x+(-10)-(-10) right 1 OK right 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:16:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6-(-10) = 6x left 1 OK left -1x+16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+16 = 6x strategic 1 OK subtract -1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:17:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+16-(-1x) = 6x-(-1x) right 1 OK right 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:17:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+16-(-1x) = 7x left 1 OK left 16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 16 = 7x strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:17:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 16/7 = 7x/7 right 1 OK right 2.285 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:17:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 16/7 = 2.285 left 1 OK left 2.285 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 16 = 7x strategic 2 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 16/7 = 7x/7 left 1 OK left 2.285 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2.28571429 = 7x/7 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+6 = 6x+(-10) strategic 5 OK answer-check 2.2857 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-3) strategic 1 OK subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:18:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y-(-3) = 9y+(-3)-(-3) right 1 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:19:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y-(-3) = 9y left 1 OK left -6+9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:19:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+9y = 9y strategic 1 OK subtract 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+9y-9y = 9y-9y right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+9y-9y = 0 left 1 OK left -6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 0 strategic 1 OK divide -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-6 = 0/-6 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 0/-6 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-3) strategic 2 ERROR answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-3) strategic 3 OK subtract -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:20:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y-(-6) = 9y+(-3)-(-6) left 1 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:21:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y+(-3)-(-6) right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:21:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-3) strategic 4 OK subtract -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:21:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y-(-6) = 9y+(-3)-(-6) left 2 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y+(-3)-(-6) right 2 OK right 9y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y+3 strategic 1 OK subtract 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-9y = 9y+3-9y left 1 OK left -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 9y+3-9y right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 3 strategic 1 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 3/-3 right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:22:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = -1 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 11bcfV8 session5 2007-04-27 13:23:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-3) strategic 5 OK answer-check -1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 1T4w47X session0 2007-04-24 09:42:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:42:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:42:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR rf -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:43:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check -2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:43:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -97x+(-79) = -3 strategic 1 OK add 79 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -97x = 76 strategic 1 OK divide -97 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -97x+(-79) = -3 strategic 2 OK answer-check -76/97 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 4.83+(-1.11x) = -5.82 strategic 1 OK subtract 4.83 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -1.11x = -10.65 strategic 1 OK divide -1.11 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 4.83+(-1.11x) = -5.82 strategic 2 OK answer-check 9.5946 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:44:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -40 = -65+58y strategic 1 ERROR add 44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:45:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 4 = -21+58y strategic 1 ERROR divide -33 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:45:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -40 = -65+58y strategic 2 OK subtract -65 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:45:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 25 = 58y strategic 1 OK divide 58 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:45:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -40 = -65+58y strategic 3 OK answer-check 25/58 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 8.29 = -0.25x+3.78 strategic 1 ERROR add -31.63 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -23.34 = -0.25x-27.85 strategic 1 OK add 27.85 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 4.51 = -0.25x strategic 1 OK divide -0.25 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 8.29 = -0.25x+3.78 strategic 2 OK answer-check -18.04 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.47 = 1.58x+(-13.26) strategic 1 ERROR subtract 44.33 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -37.86 = 1.58x-57.59 strategic 1 OK add 57.59 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:46:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 19.73 = 1.58x strategic 1 OK divide 1.58 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:47:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.47 = 1.58x+(-13.26) strategic 2 OK answer-check 12.4873 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:47:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 1 OK subtract 2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:47:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x)-2.44 = 11.83-2.44 left 1 OK left -13.46x-2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x-2.44 = 11.83-2.44 right 1 OK right 9.39 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x-2.44 = 9.39 strategic 1 OK add 2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x-2.44+2.44 = 9.39+2.44 left 1 OK left -13.46x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x = 9.39+2.44 right 1 OK right 11.83 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x = 11.83 strategic 1 OK divide -13.46 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:48:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x/-13.46 = 11.83/-13.46 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 11.83/-13.46 right 1 OK right -0.878900445 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:49:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 2 ERROR answer-check -0.878900445 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 3 ERROR answer-check -0.8789 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:49:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 4 OK subtract 2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:49:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x)-2.44 = 11.83-2.44 left 2 OK left -13.46 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 5 OK subtract 2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x)-2.44 = 11.83-2.44 left 3 OK left -13.46x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x = 11.83-2.44 right 1 OK right 9.39 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x = 9.39 strategic 1 OK divide -13.46 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.46x/-13.46 = 9.39/-13.46 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:50:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 9.39/-13.46 right 1 OK right -0.69762285 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.44+(-13.46x) = 11.83 strategic 6 OK answer-check -0.6976 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5091+(-6377y) = -9715 strategic 1 OK subtract 5091 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5091+(-6377y)-5091 = -9715-5091 left 1 OK left -6377y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6377y = -9715-5091 right 1 OK right -14806 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6377y = -14806 strategic 1 OK divide -6377 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6377y/-6377 = -14806/-6377 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:52:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -14806/-6377 right 1 OK right 2.321781402 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:52:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5091+(-6377y) = -9715 strategic 2 OK answer-check 2.3218 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.8 = -14.78y+(-6.04) strategic 1 OK subtract -6.04 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.8-(-6.04) = -14.78y+(-6.04)-(-6.04) right 1 OK right -14.78y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.8-(-6.04) = -14.78y left 1 OK left -2.46 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.46 = -14.78y strategic 1 OK divide -14.78 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.46/-14.78 = -14.78y/-14.78 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.46/-14.78 = y left 1 OK left 0.1867 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.8 = -14.78y+(-6.04) strategic 2 OK answer-check 0.1867 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -45 = 28+16x strategic 1 OK subtract 28 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -45-28 = 28+16x-28 right 1 OK right 16x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -45-28 = 16x left 1 OK left -73 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -73 = 16x strategic 1 OK divide 16 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -73/16 = 16x/16 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -73/16 = x left 1 OK left -4.5625 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -45 = 28+16x strategic 2 OK answer-check -4.5625 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -625 = -618+(-688/y) strategic 1 OK add 618 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -7 = -688/y strategic 1 ERROR multiply 688 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:54:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -7 = -688/y strategic 2 ERROR divide -688 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -7 = -688/y strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -7y = -688 strategic 1 OK divide -7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -625 = -618+(-688/y) strategic 2 OK answer-check 688/7 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 1 OK subtract -965 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x = 778 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541 = 778x strategic 1 ERROR divide 788 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/788 = 389x/394 strategic 1 ERROR rf -541/788 = 389x/394 strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:56:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 2 ERROR answer-check 32/5 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:56:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 3 ERROR answer-check -541/788 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:56:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 4 ERROR subtract 21 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:56:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x-986 = -208 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A (-541/x-986)*x = -208x strategic 1 ERROR mt (-541/x-986)*x = -208x strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:57:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x-986 = -208 strategic 2 OK add 986 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:57:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x = 778 strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:57:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541 = 778x strategic 2 OK divide 778 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:57:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 5 ERROR answer-check 541/788 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 6 ERROR subtract 21 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x-986 = -208 strategic 3 OK add 986 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x = 778 strategic 3 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541 = 778x strategic 3 OK divide 778 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 7 OK subtract -965 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x = 778 strategic 4 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541 = 778x strategic 4 OK divide 778 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:58:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -541/x+(-965) = -187 strategic 8 OK answer-check -541/778 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -18/x+9 = 65 strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -18/x = 56 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -18 = 56x strategic 1 OK divide 56 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -18/x+9 = 65 strategic 2 OK answer-check -9/28 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 1 ERROR add 7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 2 ERROR subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 3 ERROR subtract 7.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 09:59:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 4 BUG subtract 705 Since -705 is negative, you should add to remove it from the right side. Erase your last step and add 705 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:00:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 5 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:00:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 6 ERROR add 7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:00:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437 = -698+241/y strategic 1 ERROR add -689 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:00:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437 = -698+241/y strategic 2 ERROR subtract 689 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:00:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1126 = -1387+241/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 7 ERROR add -7.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:01:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 8 OK add 705 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:01:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 9 BUG add -705 To remove -705 from the right side, you can add a positive to it. Erase your last step and add 705 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:01:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 10 BUG subtract 705 Since -705 is negative, you should add to remove it from the right side. Erase your last step and add 705 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1149 = -1410+241/y strategic 1 BUG subtract 1410 Since -1410 is negative, you should add to remove it from the right side. Erase your last step and add 1410 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -2559 = -2820+241/y strategic 1 BUG subtract 2820 Since -2820 is negative, you should add to remove it from the right side. Erase your last step and add 2820 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -5379 = -5640+241/y strategic 1 BUG subtract 5640 Since -5640 is negative, you should add to remove it from the right side. Erase your last step and add 5640 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 11 ERROR subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 12 ERROR add 7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437 = -698+241/y strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:02:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437y = (-698+241/y)*y strategic 1 ERROR divide 34 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437y/34 = (-698+241/y)*y/34 strategic 1 ERROR rds -437y/34 = (-698+241/y)*y/34 strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -437y/34 = (-698+241/y)*y/34 strategic 2 ERROR rf -437y/34 = (-698+241/y)*y/34 strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 13 OK subtract -705 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 261 = 241/y strategic 1 BUG multiply 241 To remove 241/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 241/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 261 = 241/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 261y = 241 strategic 1 OK divide 261 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:03:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A y = 241/261 strategic 1 BUG rf y = 241/261 strategic You already solved the equation. y is 241/261. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -444 = -705+241/y strategic 14 OK answer-check 241/261 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 12 = 89/y+(-22) strategic 1 OK subtract -22 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 34 = 89/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 34y = 89 strategic 1 OK divide 34 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 12 = 89/y+(-22) strategic 2 OK answer-check 89/34 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y+(-320) = -241 strategic 1 OK subtract -320 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y+(-320)-(-320) = -241-(-320) left 1 OK left -200/y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y = -241-(-320) right 1 OK right 79 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y = 79 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:04:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y*y = 79y left 1 OK left -200 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200 = 79y right 1 OK right 79y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200 = 79y strategic 1 OK divide 79 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/79 = 79y/79 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/79 = y left 1 OK left -2.53164 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -200/y+(-320) = -241 strategic 2 OK answer-check -2.53164 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -64+(-68/x) = -62 strategic 1 OK subtract -64 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -64+(-68/x)-(-64) = -62-(-64) left 1 OK left -68/x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68/x = -62-(-64) right 1 OK right 2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:05:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68/x = 2 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68/x*x = 2x left 1 OK left -68 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68 = 2x right 1 OK right 2x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68 = 2x strategic 1 OK divide 2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68/2 = 2x/2 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -68/2 = x left 1 OK left -34 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -64+(-68/x) = -62 strategic 2 OK answer-check -34 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 996 = -511/y+(-21) strategic 1 OK subtract -21 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 996-(-21) = -511/y+(-21)-(-21) left 1 OK left 1017 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017 = -511/y+(-21)-(-21) right 1 OK right -511/y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017 = -511/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017y = -511/y*y left 1 OK left 1017y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017y = -511/y*y right 1 OK right -511 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017y = -511 strategic 1 OK divide 1017 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:06:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1017y/1017 = -511/1017 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -511/1017 right 1 OK right -0.50245821 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 996 = -511/y+(-21) strategic 2 OK answer-check -0.5025 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8+(-1y) = -5y+0 strategic 1 OK subtract 0 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8-y = -5y strategic 1 ERROR clt 8-y = -5y strategic condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8-y = -5y strategic 2 OK add y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8 = -4y strategic 1 OK divide -4 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8+(-1y) = -5y+0 strategic 2 OK answer-check -2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:07:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y+(-7) = 2y+6 strategic 1 OK subtract -7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y = 2y+13 strategic 1 ERROR subtract 13 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y-13 = 2y strategic 1 OK subtract 4y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -13 = -2y strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y+(-7) = 2y+6 strategic 2 OK answer-check 13/2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5x+(-10) = -1x+(-5) strategic 1 OK subtract -10 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5x = -x+5 strategic 1 OK subtract -x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4x = 5 strategic 1 OK divide -4 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5x+(-10) = -1x+(-5) strategic 2 OK answer-check -5/4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4y+8 = -6y+(-9) strategic 1 OK subtract -9 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:08:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4y+17 = -6y strategic 1 ERROR subtract 17 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4y = -6y-17 strategic 1 OK subtract -6y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2y = -17 strategic 1 OK divide 2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4y+8 = -6y+(-9) strategic 2 OK answer-check -17/2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-7) = -1y+2 strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-7)-2 = -1y+2-2 left 1 OK left 6y+-9 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-9) = -1y+2-2 right 1 OK right -1y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-9) = -1y strategic 1 OK subtract 6y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-9)-6y = -1y-6y left 1 OK left -9 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:09:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9 = -1y-6y right 1 OK right -7y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9 = -7y strategic 1 OK divide -7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9/-7 = -7y/-7 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9/-7 = y left 1 OK left 1.285714586 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-7) = -1y+2 strategic 2 OK answer-check 1.2857 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+1y = -9+(-9y) strategic 1 OK subtract -3 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:10:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+1y-(-3) = -9+(-9y)-(-3) left 1 OK left 1y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = -9+(-9y)-(-3) right 1 OK right -9y+-6 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = -9y+(-6) strategic 1 OK unnec-elems 1y=-9y+(-6) condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -9y+(-6) strategic 1 OK subtract -9y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y-(-9y) = -9y+(-6)-(-9y) left 1 OK left 10y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -9y+(-6)-(-9y) right 1 OK right -6 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -6 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y/10 = -6/10 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -6/10 right 1 OK right -0.6 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+1y = -9+(-9y) strategic 2 OK answer-check -0.6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9 = 6x+6 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:11:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9-6 = 6x+6-6 right 1 OK right 6x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9-6 = 6x left 1 OK left 8x+3 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+3 = 6x strategic 1 OK subtract 8x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+3-8x = 6x-8x left 1 OK left 3 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 6x-8x right 1 OK right -2x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = -2x strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3/-2 = -2x/-2 left 1 OK left -1.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1.5 = -2x/-2 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9 = 6x+6 strategic 2 OK answer-check -1.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -3.3y+2.73 = 0.32y+1.34 strategic 1 OK subtract 1.34 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -3.3y+1.39 = 0.32y strategic 1 OK subtract -3.3y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:12:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 1.39 = 3.62y strategic 1 OK divide 3.62 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -3.3y+2.73 = 0.32y+1.34 strategic 2 OK answer-check 0.3840 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.33y+5.7 = -7.39+(-1.71y) strategic 1 OK subtract -1.71y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 10.04y+5.7 = -7.39 strategic 1 OK subtract 5.7 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 10.04y = -13.09 strategic 1 OK divide 10.04 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.33y+5.7 = -7.39+(-1.71y) strategic 2 OK answer-check -1.3038 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.06+(-6.83y) = 0.45y+3.8 strategic 1 OK subtract 8.06 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.83y = 0.45y-4.26 strategic 1 OK subtract 0.45y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:13:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -7.28y = -4.26 strategic 1 OK divide -7.28 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.06+(-6.83y) = 0.45y+3.8 strategic 2 OK answer-check 0.5852 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.33+9.7y = -6.16y+(-2.91) strategic 1 OK subtract -2.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.42+9.7y = -6.16y strategic 1 OK subtract 9.7y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.42 = -15.86y strategic 1 OK divide -15.86 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.33+9.7y = -6.16y+(-2.91) strategic 2 OK answer-check 0.3417 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:14:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 1 OK subtract -9.31x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47-(-9.31x) = -9.31x+(-2.44)-(-9.31x) left 1 OK left -8.01x+3.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x+3.47 = -9.31x+(-2.44)-(-9.31x) right 1 OK right -2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x+3.47 = -2.44 strategic 1 OK subtract 3.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x+3.47-3.47 = -2.44-3.47 left 1 OK left -8.01x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x = -2.44-3.47 right 1 OK right -5.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x = -5.91 strategic 1 OK divide -8.01 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.01x/-8.01 = -5.91/-8.01 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:15:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -5.91/-8.01 right 1 OK right 0.73782 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:16:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 2 ERROR answer-check -0.7378 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:16:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 3 ERROR answer-check -0.7378277 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:16:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 4 OK subtract -2.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47-(-2.44) = -9.31x+(-2.44)-(-2.44) left 1 OK left 1.3x+5.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+5.91 = -9.31x+(-2.44)-(-2.44) right 1 OK right -9.31x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+5.91 = -9.31x strategic 1 ERROR subtract 1.3 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+5.91 = -9.31x strategic 2 OK subtract 1.3x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+5.91-1.3x = -9.31x-1.3x left 1 OK left 5.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.91 = -9.31x-1.3x right 1 OK right -10.61x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.91 = -10.61x strategic 1 OK divide -10.61 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:17:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.91/-10.61 = -10.61x/-10.61 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:18:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.91/-10.61 = x left 1 OK left 0.557021677 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:18:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 5 ERROR answer-check 0.5570 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 6 OK subtract 3.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:18:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47-3.47 = -9.31x+(-2.44)-3.47 left 1 OK left 1.3x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:18:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x = -9.31x+(-2.44)-3.47 right 1 OK right -9.31x+-5.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:19:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x = -9.31x+(-5.91) strategic 1 OK subtract -9.31x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x-(-9.31x) = -9.31x+(-5.91)-(-9.31x) right 1 OK right -5.91 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:19:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x-(-9.31x) = -5.91 left 1 OK left 10.61x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:19:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 10.61x = -5.91 strategic 1 OK divide 10.61 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:20:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 10.61x/10.61 = -5.91/10.61 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:20:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -5.91/10.61 right 1 OK right -0.557021677 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:20:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.3x+3.47 = -9.31x+(-2.44) strategic 7 OK answer-check -0.557021677 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:20:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x+3.37 = -0.24x+(-1.59) strategic 1 OK subtract 3.37 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:20:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x+3.37-3.37 = -0.24x+(-1.59)-3.37 left 1 OK left -6.71x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x = -0.24x+(-1.59)-3.37 right 1 OK right -0.24x+-4.96 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x = -0.24x+(-4.96) strategic 1 ERROR divide -0.24x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x+3.37 = -0.24x+(-1.59) strategic 2 OK subtract 3.37 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x+3.37-3.37 = -0.24x+(-1.59)-3.37 left 2 OK left -6.71x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x = -0.24x+(-1.59)-3.37 right 2 OK right -0.24x+-4.96 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:21:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x = -0.24x+(-4.96) strategic 2 OK subtract -0.24x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x-(-0.24x) = -0.24x+(-4.96)-(-0.24x) right 1 OK right -4.96 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x-(-0.24x) = -4.96 left 1 OK left -6.47x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.47x = -4.96 strategic 1 OK divide -6.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.47x/-6.47 = -4.96/-6.47 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -4.96/-6.47 right 1 OK right 0.766615146 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:22:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.71x+3.37 = -0.24x+(-1.59) strategic 3 OK answer-check 0.7666 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:23:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y+(-3.27) = -9.15+4.09y strategic 1 OK subtract -3.27 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:23:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y+(-3.27)-(-3.27) = -9.15+4.09y-(-3.27) left 1 OK left 4.36y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:23:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y = -9.15+4.09y-(-3.27) right 1 OK right 4.09y+-5.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:23:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y = 4.09y+(-5.88) strategic 1 OK subtract 4.09y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y-4.09y = 4.09y+(-5.88)-4.09y right 1 OK right -5.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y-4.09y = -5.88 left 1 OK left 0.27x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.27x = -5.88 strategic 1 BUG divide 0.27 You already solved the equation. 0.27x can never be equal to -5.88, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.27x/0.27 = -5.88/0.27 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -5.88/0.27 right 1 OK right -21.77777778 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:24:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.36y+(-3.27) = -9.15+4.09y strategic 2 OK answer-check -21.7778 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y = 7.94+9.13y strategic 1 ERROR subtract 202 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y = 7.94+9.13y strategic 2 OK subtract 2.2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y-2.2 = 7.94+9.13y-2.2 left 1 OK left 1.23y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.23y = 7.94+9.13y-2.2 right 1 OK right 9.13y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y = 7.94+9.13y strategic 3 OK subtract 2.2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y-2.2 = 7.94+9.13y-2.2 left 2 OK left 4.23y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.23y = 7.94+9.13y-2.2 right 1 OK right 9.13y+5.74 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:25:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.23y = 9.13y+5.74 strategic 1 OK subtract 9.13y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.23y-9.13y = 9.13y+5.74-9.13y right 1 OK right 5.74 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.23y-9.13y = 5.74 left 1 OK left -4.9y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.9y = 5.74 strategic 1 ERROR divide -49 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.9y = 5.74 strategic 2 OK divide -4.9 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.9y/-4.9 = 5.74/-4.9 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 5.74/-4.9 right 1 OK right -1.171428571 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:26:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.2+4.23y = 7.94+9.13y strategic 4 OK answer-check -1.1714 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:27:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A -8829.13+31.54x = -503.3x+201.84 strategic 1 ERROR subtract 31.54 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:27:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A -8829.13+31.54x = -503.3x+201.84 strategic 2 OK subtract -8829.13 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:27:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A 31.54x = -503.3x+9030.97 strategic 1 OK subtract -503.3x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:27:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A 534.84x = 9030.97 strategic 1 OK divide 534.84 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:27:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A -8829.13+31.54x = -503.3x+201.84 strategic 3 OK answer-check 16.8854 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -57.59+(-49.53y) = -84.09y+(-88.75) strategic 1 OK subtract -57.59 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -49.53y = -84.09y-31.16 strategic 1 ERROR subtract -84.09x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -49.53y = -84.09y-31.16 strategic 2 OK subtract -84.09y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 34.56y = -31.16 strategic 1 OK divide 34.56 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -57.59+(-49.53y) = -84.09y+(-88.75) strategic 2 OK answer-check -0.9016 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 146.01x+204.42 = 1419.95+(-695.58x) strategic 1 ERROR subtract 204.2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 146.01x+204.42 = 1419.95+(-695.58x) strategic 2 OK subtract 204.42 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 146.01x = 1215.53-695.58x strategic 1 OK subtract -695.58x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 841.59x = 1215.53 strategic 1 OK divide 841.59 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 146.01x+204.42 = 1419.95+(-695.58x) strategic 3 OK answer-check 1.4443 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 82.6+60.56x = -88.64x+(-33.52) strategic 1 OK subtract 82.6 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 60.56x = -88.64x-116.12 strategic 1 OK subtract -88.64x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 149.2x = -116.12 strategic 1 BUG divide 149.2x Dividing anything by itself will leave 1. If you divide 149.2x by 149.2, x will be left. Erase your last step and then divide by 149.2. BUG condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 149.2x = -116.12 strategic 2 OK divide 149.2 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:29:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 82.6+60.56x = -88.64x+(-33.52) strategic 2 OK answer-check -0.7783 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:30:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -6593.58+(-253.95y) = -345.77y+(-4710.76) strategic 1 OK subtract -6593.58 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:30:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -6593.58+(-253.95y)-(-6593.58) = -345.77y+(-4710.76)-(-6593.58) left 1 OK left -253.95y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:30:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -253.95y = -345.77y+(-4710.76)-(-6593.58) right 1 OK right -345.77y+1882.82 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -253.95y = -345.77y+1882.82 strategic 1 OK subtract -345.77y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -253.95y-(-345.77y) = -345.77y+1882.82-(-345.77y) right 1 OK right 1882.82 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -253.95y-(-345.77y) = 1882.82 left 1 OK left 91.82y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 91.82y = 1882.82 strategic 1 OK divide 91.82 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 91.82y/91.82 = 1882.82/91.82 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:31:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = 1882.82/91.82 right 1 OK right 20.50555435 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:32:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -6593.58+(-253.95y) = -345.77y+(-4710.76) strategic 2 OK answer-check 20.5056 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:32:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x+(-18.69) = 37.74+(-24.87x) strategic 1 OK subtract -18.69 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:32:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x+(-18.69)-(-18.69) = 37.74+(-24.87x)-(-18.69) left 1 OK left 89.47x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x = 37.74+(-24.87x)-(-18.69) right 1 OK right -24.87x+56.43 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x = -24.87x+56.43 strategic 1 ERROR subtract -25.87 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x = -24.87x+56.43 strategic 2 OK subtract -24.87x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x-(-24.87x) = -24.87x+56.43-(-24.87x) left 1 OK left 114.34x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 114.34x = -24.87x+56.43-(-24.87x) right 1 OK right 56.43 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:33:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 114.34x = 56.43 strategic 1 OK divide 114.34 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:34:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 114.34x/114.34 = 56.43/114.34 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:34:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 x = 56.43/114.34 right 1 OK right 0.493528074 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:34:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 89.47x+(-18.69) = 37.74+(-24.87x) strategic 2 OK answer-check 0.4935 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:34:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 1 ERROR subtract 46061 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:34:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y)-46061 = -2.48y+(-11.31)-46061 left 1 OK left -77.26y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-11.31)-46061 right 1 OK right -2.48y+-46172.31 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-46172.31) strategic 1 OK subtract -2.48y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y-(-2.48y) = -2.48y+(-46172.31)-(-2.48y) left 1 OK left -74.78y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -2.48y+(-46172.31)-(-2.48y) right 1 OK right -46172.31 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -46172.31 strategic 1 OK divide -74.78 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:35:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y/-74.78 = -46172.31/-74.78 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:36:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = -46172.31/-74.78 right 1 OK right 617.4419631 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:36:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 2 ERROR answer-check 617.4420 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:36:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -46172.31 strategic 2 OK divide -74.78 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y/-74.78 = -46172.31/-74.78 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:36:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = -46172.31/-74.78 right 2 OK right 617.4419631 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:37:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 3 OK subtract 46.61 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:37:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y)-46.61 = -2.48y+(-11.31)-46.61 left 1 OK left -77.26y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:37:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-11.31)-46.61 right 1 OK right -2.48y+-57.92 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:37:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-57.92) strategic 1 OK subtract -2.48y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y-(-2.48y) = -2.48y+(-57.92)-(-2.48y) left 1 OK left -74.78y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -2.48y+(-57.92)-(-2.48y) right 1 OK right 57.92 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = 57.92 strategic 1 OK divide -74.78 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y/-74.78 = 57.92/-74.78 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = 57.92/-74.78 right 1 OK right -0.774538646 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:38:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 4 ERROR answer-check -0.7745 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:39:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 5 OK subtract -77.26y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:39:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 6 OK subtract 46.61 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:39:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y)-46.61 = -2.48y+(-11.31)-46.61 left 2 OK left -77.26y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:39:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-11.31)-46.61 right 2 OK right -2.48y+-57.92 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:39:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y = -2.48y+(-57.92) strategic 2 OK subtract -2.48y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:40:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -77.26y-(-2.48y) = -2.48y+(-57.92)-(-2.48y) left 2 OK left -74.78y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:40:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -2.48y+(-57.92)-(-2.48y) right 2 OK right -57.92 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:40:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y = -57.92 strategic 1 OK divide -74.78 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:40:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -74.78y/-74.78 = -57.92/-74.78 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:40:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = -57.92/-74.78 right 1 OK right 0.774538646 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 46.61+(-77.26y) = -2.48y+(-11.31) strategic 7 OK answer-check 0.7745 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y+51.51 = 67.59y+33.68 strategic 1 OK subtract 51.51 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y+51.51-51.51 = 67.59y+33.68-51.51 left 1 OK left -81.59y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y = 67.59y+33.68-51.51 right 1 OK right 67.59y+-17.53 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y = 67.59y+(-17.53) strategic 1 OK subtract 67.59y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:41:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y-67.59y = 67.59y+(-17.53)-67.59y right 1 OK right -17.53 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y-67.59y = -17.53 left 1 OK left -149.18y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -149.18y = -17.53 strategic 1 OK divide -149.18 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -149.18y/-149.18 = -17.53/-149.18 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = -17.53/-149.18 right 1 OK right 0.117509049 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.59y+51.51 = 67.59y+33.68 strategic 2 OK answer-check 0.1175 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:42:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88 = -8701.62+994.41x strategic 1 OK subtract 3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:43:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88-3620.88 = -8701.62+994.41x-3620.88 left 1 OK left 878.26x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:43:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = -8701.62+994.41x-3620.88 right 1 OK right 994.41x+-12322.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:43:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = 994.41x+(-12322.5) strategic 1 ERROR subtract 994.41 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x-994.41 = 994.41x+(-12322.5)-994.41 left 1 OK left -116.15 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = 994.41x+(-12322.5) strategic 2 OK subtract 994.41x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x-994.41x = 994.41x+(-12322.5)-994.41x left 1 OK left -116.15x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x = 994.41x+(-12322.5)-994.41x right 1 OK right -12322.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x = -12322.5 strategic 1 ERROR divide -166.15x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x/(-166.15x) = -12322.5/(-166.15x) left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:45:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A x = -12322.5/(-166.15x) right 1 OK right 74.16491122 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:45:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88 = -8701.62+994.41x strategic 2 ERROR answer-check 74.1649 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:45:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88 = -8701.62+994.41x strategic 3 OK subtract 3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:45:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88-3620.88 = -8701.62+994.41x-3620.88 left 2 OK left 878.26x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = -8701.62+994.41x-3620.88 right 2 OK right 994.41x+-8701.62-3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = 994.41x-8701.62-3620.88 strategic 1 OK clt 994.41x-8701.62-3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A x1R1 strategic 1 OK 994.41x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A constant terms1R1 strategic 1 OK -8701.62 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A constant terms2R1 strategic 1 OK -3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A xR2 strategic 1 OK 994.41x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:46:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A constant termsR2 strategic 1 OK -8701.62-3620.88 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:47:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A FinalAnswer strategic 1 ERROR 994.41x+ condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:47:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88 = -8701.62+994.41x strategic 4 OK subtract 3620.88 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:47:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88-3620.88 = -8701.62+994.41x-3620.88 left 3 OK left 878.26x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:47:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = -8701.62+994.41x-3620.88 right 3 OK right 994.41x+-12322.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:47:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x = 994.41x+(-12322.5) strategic 3 OK subtract 994.41x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x-994.41x = 994.41x+(-12322.5)-994.41x left 2 OK left -116.15x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:48:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x = 994.41x+(-12322.5)-994.41x right 2 OK right -12322.5 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:48:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x = -12322.5 strategic 2 OK divide -116.15 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:48:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -116.15x/-116.15 = -12322.5/-116.15 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A x = -12322.5/-116.15 right 1 OK right 106.0912613 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:49:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 878.26x+3620.88 = -8701.62+994.41x strategic 5 OK answer-check 106.0912613 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:49:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y+(-5870.15) = 5381.32+278.89y strategic 1 OK subtract -5870.15 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:49:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y+(-5870.15)-(-5870.15) = 5381.32+278.89y-(-5870.15) left 1 OK left 557.33y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y = 5381.32+278.89y-(-5870.15) right 1 OK right 278.89y+11251.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y = 278.89y+11251.47 strategic 1 OK subtract 278.89y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y-278.89y = 278.89y+11251.47-278.89y right 1 OK right 11251.47 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y-278.89y = 11251.47 left 1 OK left 278.44y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 278.44y = 11251.47 strategic 1 OK divide 278.44 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:50:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 278.44y/278.44 = 11251.47/278.44 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:51:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = 11251.47/278.44 right 1 OK right 40.40895705 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:51:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 557.33y+(-5870.15) = 5381.32+278.89y strategic 2 OK answer-check 40.4090 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:51:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y+19.15 = 46.04y+90.58 strategic 1 OK subtract 19.15 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:51:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y+19.15-19.15 = 46.04y+90.58-19.15 left 1 OK left -56.48y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y = 46.04y+90.58-19.15 right 1 OK right 46.04y+71.43 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y = 46.04y+71.43 strategic 1 ERROR subtract 46.04 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y = 46.04y+71.43 strategic 2 OK subtract 46.04y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y-46.04y = 46.04y+71.43-46.04y right 1 OK right 71.43 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y-46.04y = 71.43 left 1 OK left -102.52y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -102.52y = 71.43 strategic 1 OK divide -102.52 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:52:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -102.52y/-102.52 = 71.43/-102.52 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:53:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = 71.43/-102.52 right 1 OK right -0.696742099 condition 3 cwctc 247w34xrp1--3--Alg I 1T4w47X session0 2007-04-24 10:53:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -56.48y+19.15 = 46.04y+90.58 strategic 2 OK answer-check -0.6967 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I 1VVSIbg session65 2007-04-20 09:41:53.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR distribute -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:41:58.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:01.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:05.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE You can add 555 to both sides of the equation to eliminate the constant value of -555 (-555 + 555 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:19.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 3 BUG add -555 To remove -555 from the right side, you can add a positive to it. Erase your last step and add 555 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:25.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:29.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 3 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:34.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 4 HINT_LEVEL_CHANGE You can add 555 to both sides of the equation to eliminate the constant value of -555 (-555 + 555 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:42:56.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 5 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:43:15.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:43:36.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -84.26 = -92.77y+(-34.97) strategic 1 OK subtract -34.97 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:43:45.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -49.29 = -92.77y strategic 1 BUG divide -49.29 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:43:58.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -49.29 = -92.77y strategic 2 OK divide -92.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:11.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -71 = 0+(-42x) strategic 1 BUG subtract -42 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:16.0 HINT HINT ES_05 ES_05-1 EG43 -29 = -42x+42 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:20.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE 42 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 42 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:24.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE You can subtract 42 from both sides of the equation to eliminate the constant value of 42 (42 - 42 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -71 = 0+(-42x) strategic 2 BUG subtract 42 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:52.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -71 = 0+(-42x) strategic 3 OK clt 0+(-42x) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:44:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -71 = -42x strategic 1 OK divide -42 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:45:09.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 7903y+2289 = -6638 strategic 1 ERROR clt 7903y+2289 = -6638 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:45:18.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 7903y+2289 = -6638 strategic 2 OK subtract 2289 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:45:31.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 7903y = -8927 strategic 1 BUG divide -8927 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:45:47.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 7903y = -8927 strategic 2 OK divide 7903 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:46:05.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 2.64y+5.77 = -10.24 strategic 1 OK subtract 5.77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:46:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 2.64y = -16.01 strategic 1 OK divide 2.64 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:46:19.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -26y+(-61) = -42 strategic 1 ERROR clt -26y+(-61) = -42 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:46:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -26y+(-61) = -42 strategic 2 OK subtract -61 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:46:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -26y = 19 strategic 1 OK divide -26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:00.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54+(-11.82x) strategic 1 ERROR subtract -11.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:08.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54+(-11.82x) strategic 2 ERROR clt 11.98 = -13.54+(-11.82x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:18.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54+(-11.82x) strategic 3 ERROR subtract 11.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:23.0 HINT HINT ES_05 ES_05-1 EG42B 11.98 = -13.54+(-11.82x) strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:25.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:35.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54+(-11.82x) strategic 5 OK rds 11.98 = -13.54+(-11.82x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:48.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54-11.82x strategic 1 ERROR add 11.82 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:47:56.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54-11.82x strategic 2 ERROR subtract 11.82 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:00.0 HINT HINT ES_05 ES_05-1 EG42B 11.98 = -13.54-11.82x strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:02.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 2 HINT_LEVEL_CHANGE -13.54 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -13.54 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:06.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 3 HINT_LEVEL_CHANGE You can add 13.54 to both sides of the equation to eliminate the constant value of -13.54 (-13.54 + 13.54 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:31.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54-11.82x strategic 4 BUG add -13.54 To remove -13.54 from the right side, you can add a positive to it. Erase your last step and add 13.54 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:40.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.98 = -13.54-11.82x strategic 5 OK add 13.54 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:47.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 25.52 = -11.82x strategic 1 OK divide -11.82 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:48:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -15y+96 = -83 strategic 1 OK subtract 96 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:05.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -15y = -179 strategic 1 OK divide -15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:16.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.53+(-2.69y) = -14.02 strategic 1 OK rds 6.53+(-2.69y) = -14.02 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:33.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.53-2.69y = -14.02 strategic 1 ERROR add 2.96 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:39.0 HINT HINT ES_05 ES_05-1 EG42C 6.53-2.69y = -14.02 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:40.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 1 HINT_LEVEL_CHANGE 6.53 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6.53 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:44.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 2 HINT_LEVEL_CHANGE You can subtract 6.53 from both sides of the equation to eliminate the constant value of 6.53 (6.53 - 6.53 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:49:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.53-2.69y = -14.02 strategic 3 OK subtract 6.53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:03.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -2.69y = -20.55 strategic 1 ERROR divide -2.96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:14.0 HINT HINT ES_05 ES_05-1 EG42C -2.69y = -20.55 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:15.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 3 HINT_LEVEL_CHANGE -2.69y is -2.69 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:19.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -2.69. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:34.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -2.69y = -20.55 strategic 3 ERROR divide -2.96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:42.0 HINT HINT ES_05 ES_05-1 EG42C 0.90878378y = 6.94256757 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:43.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 5 HINT_LEVEL_CHANGE 0.9088y is 0.9088 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:50:48.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 6 HINT_LEVEL_CHANGE Divide both sides by 0.9088. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:00.0 HINT HINT ES_05 ES_05-1 EG42C -2.69y = -20.55 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:01.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 7 HINT_LEVEL_CHANGE -2.69y is -2.69 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:05.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 8 HINT_LEVEL_CHANGE Divide both sides by -2.69. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:17.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -2.69y = -20.55 strategic 5 OK divide -2.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:28.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5958+(-3817y) = 7370 strategic 1 OK rds 5958+(-3817y) = 7370 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:46.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5958-3817y = 7370 strategic 1 ERROR subtract 3817 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:50.0 HINT HINT ES_05 ES_05-1 EG43A 5958-3817y = 7370 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:51.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE 5958 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5958 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:51:55.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can subtract 5958 from both sides of the equation to eliminate the constant value of 5958 (5958 - 5958 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:52:12.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5958-3817y = 7370 strategic 3 OK subtract 5958 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:52:25.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -3817y = 1412 strategic 1 OK divide -3817 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:52:40.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 13.35 = 2.56x+(-3.44) strategic 1 OK rds 13.35 = 2.56x+(-3.44) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:52:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 13.35 = 2.56x-3.44 strategic 1 BUG subtract 3.44 Since -3.44 is negative, you should add to remove it from the right side. Erase your last step and add 3.44 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:53:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 13.35 = 2.56x-3.44 strategic 2 OK add 3.44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:53:16.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 16.79 = 2.56x strategic 1 OK divide 2.56 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:53:27.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 5.19x+(-3.42) = -8.97 strategic 1 OK rds 5.19x+(-3.42) = -8.97 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:53:44.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 5.19x-3.42 = -8.97 strategic 1 OK add 3.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:53:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 5.19x = -5.55 strategic 1 OK divide 5.19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:06.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -49+(-21y) = 21 strategic 1 OK rds -49+(-21y) = 21 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:17.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -49-21y = 21 strategic 1 BUG add 21 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -49-21y = 21 strategic 2 OK subtract -49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -21y = 70 strategic 1 OK divide -21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:54.0 CYCLE CYCLE ES_05 ES_05-1 EG43 44 = -6x+53 strategic 1 OK subtract 53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:54:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -9 = -6x strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:55:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 5.21 = 2.53y+11.06 strategic 1 OK subtract 11.06 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:55:19.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -5.85 = 2.53y strategic 1 OK divide 2.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:55:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x+(-4.63) = 5.69 strategic 1 OK rds -14.03x+(-4.63) = 5.69 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:55:56.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x-4.63 = 5.69 strategic 1 BUG subtract 4.63 Since -4.63 is negative, you should add to remove it from the left side. Erase your last step and add 4.63 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:56:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x-4.63 = 5.69 strategic 2 OK add 4.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:56:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x-4.63+4.63 = 5.69+4.63 left 1 OK left -14.03x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:57:13.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x = 5.69+4.63 right 1 OK right 10.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:57:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x = 10.32 strategic 1 OK divide -14.03 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:58:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x/-14.03 = 10.32/-14.03 right 1 OK right -0.7355 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:58:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -14.03x/-14.03 = -0.73556664 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:58:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76+76y = 57 strategic 1 OK subtract 76 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:59:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76+76y-76 = 57-76 left 1 OK left 76y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 09:59:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76y = 57-76 right 1 ERROR right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76y = 57-76 right 2 OK right -19 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76y = -19 strategic 1 OK divide 76 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76y/76 = -19/76 right 1 OK right -0.25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43 76y/76 = -0.25 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -48.57+(-87.01x) = -86.75 strategic 1 OK rds -48.57+(-87.01x) = -86.75 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:00:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -48.57-87.01x = -86.75 strategic 1 BUG add -48.57 To remove -48.57 from the left side, you can add a positive to it. Erase your last step and add 48.57 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:01:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -48.57-87.01x = -86.75 strategic 2 OK add 48.57 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:01:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -48.57-87.01x+48.57 = -86.75+48.57 left 1 OK left -87.01x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:02:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -87.01x = -86.75+48.57 right 1 OK right -38.18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:02:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -87.01x = -38.18 strategic 1 OK divide -87.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -87.01x/-87.01 = -38.18/-87.01 right 1 OK right 0.4388 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -87.01x/-87.01 = 0.43880014 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206/x+(-830) = -96 strategic 1 OK rds 206/x+(-830) = -96 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206/x-830 = -96 strategic 1 ERROR multiply 830 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:29.0 HINT HINT ES_05 ES_05-3 EG59A (206/x-830)*830 = -79680 strategic 1 INITIAL_HINT condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:31.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206/x-830 = -96 strategic 2 ERROR distribute 206/x-830 = -96 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:44.0 HINT HINT ES_05 ES_05-3 EG59A 206/x-830 = -96 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:45.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE -830 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -830 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:03:50.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 3 HINT_LEVEL_CHANGE You can add 830 to both sides of the equation to eliminate the constant value of -830 (-830 + 830 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:05.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206/x-830 = -96 strategic 4 OK add 830 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:09.0 HINT HINT ES_05 ES_05-3 EG59A 206/x = 734 strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:10.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 4 HINT_LEVEL_CHANGE 206/x is 206 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:14.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 5 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206/x = 734 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:04:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 206 = 734x strategic 1 OK divide 734 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:05:49.0 HINT HINT ES_05 ES_05-3 EG59 -27+7/x = -3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:05:50.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -27 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -27 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:05:54.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE You can add 27 to both sides of the equation to eliminate the constant value of -27 (-27 + 27 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -27+7/x = -3 strategic 2 OK add 27 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:10.0 CYCLE CYCLE ES_05 ES_05-3 EG59 7/x = 24 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59 7 = 24x strategic 1 OK divide 24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -263 = 495+(-766/x) strategic 1 OK rds -263 = 495+(-766/x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:35.0 HINT HINT ES_05 ES_05-3 EG59A -263 = 495-766/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:37.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE 495 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 495 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:06:41.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE You can subtract 495 from both sides of the equation to eliminate the constant value of 495 (495 - 495 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:04.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -263 = 495-766/x strategic 2 BUG add 495 Since 495 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 495 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -263 = 495-766/x strategic 3 BUG add 495 Since 495 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 495 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:28.0 HINT HINT ES_05 ES_05-3 EG59A 232 = 990-766/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:31.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 3 HINT_LEVEL_CHANGE 990 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 990 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:34.0 HINT HINT ES_05 ES_05-3 EG59A -263 = 495-766/x strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:35.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 4 HINT_LEVEL_CHANGE 495 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 495 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:48.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -263 = 495-766/x strategic 5 OK subtract 495 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:07:54.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -758 = -766/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -758x = -766 strategic 1 OK divide -758 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:10.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -603 = -532+(-784/y) strategic 1 OK rds -603 = -532+(-784/y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:20.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -603 = -532-784/y strategic 1 OK subtract -532 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71 = -784/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:37.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71y = -784 strategic 1 OK divide -71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:08:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -61 = 44/y+(-44) strategic 1 OK rds -61 = 44/y+(-44) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:09:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -61 = 44/y-44 strategic 1 BUG subtract 44 Since -44 is negative, you should add to remove it from the right side. Erase your last step and add 44 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:09:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -61 = 44/y-44 strategic 2 OK add 44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:09:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -61+44 = 44/y-44+44 left 1 OK left -17 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:09:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 1 ERROR right 44y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:10:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 2 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:10:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 3 ERROR right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:10:34.0 HINT HINT ES_05 ES_05-4 EG59 -17 = 44/y-44+44 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:10:37.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in 44/y-44+44 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:12:11.0 HINT HINT ES_05 ES_05-4 EG59 -17 = 44/y-44+44 strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:12:17.0 HINT HINT ES_05 ES_05-4 EG59 -17 = 44/y-44+44 strategic 3 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:12:19.0 HINT HINT ES_05 ES_05-4 EG59 -17 = 44/y-44+44 strategic 4 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:12:21.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Type in 44/y-44+44 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:12:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 4 ERROR right 44 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:13:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 5 ERROR right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:13:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 6 ERROR right -0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:13:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 7 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:14:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y-44+44 right 8 OK right 44/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:15:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17 = 44/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:15:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17y = 44/y*y right 1 OK right 44 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:15:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17y = 44 left 1 OK left -17y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:15:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17y = 44 strategic 1 OK divide -17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:15:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -17y/-17 = 44/-17 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 44/-17 right 1 ERROR right -25882 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 44/-17 right 2 OK right -2.5882 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:34.0 HINT HINT ES_05 ES_05-4 EG59A 355 = 506/x+223 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:35.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE 223 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 223 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:38.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE You can subtract 223 from both sides of the equation to eliminate the constant value of 223 (223 - 223 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 355 = 506/x+223 strategic 2 OK subtract 223 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:16:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 355-223 = 506/x+223-223 right 1 OK right 506/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 355-223 = 506/x left 1 OK left 132 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 132 = 506/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 132x = 506/x*x right 1 OK right 506 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 132x = 506 left 1 OK left 132x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 132x = 506 strategic 1 OK divide 132 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:17:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 132x/132 = 506/132 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:18:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 506/132 right 1 OK right 3.83333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:18:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11 = 12/y+60 strategic 1 OK subtract 60 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:18:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11-60 = 12/y+60-60 right 1 OK right 12/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:18:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11-60 = 12/y left 1 OK left -71 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71 = 12/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71y = 12/y*y right 1 OK right 12 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71y = 12 left 1 OK left -71y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71y = 12 strategic 1 OK divide -71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71y/-71 = 12/-71 right 1 OK right -0.1690 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:19:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -71y/-71 = -0.16901408 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9y+5 = -1y+(-2) strategic 1 OK rds -9y+5 = -1y+(-2) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9y+5 = -1y-2 strategic 1 OK subtract 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9y = -y-7 strategic 1 BUG divide -9 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:29.0 HINT HINT ES_05 ES_05-5 EG60 -9y = -y-7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:30.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9y = -y-7 strategic 3 OK add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:20:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y = -7 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+7x = -1x+2 strategic 1 BUG subtract 7 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:26.0 HINT HINT ES_05 ES_05-5 EG60 -2+7x = -1x+2 strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+7x = -1x+2 strategic 3 OK mt -1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+7x = -x+2 strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:56.0 HINT HINT ES_05 ES_05-5 EG60 -4+7x = -x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:21:57.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:01.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 7x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+7x = -x strategic 2 ERROR subtract 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:12.0 HINT HINT ES_05 ES_05-5 EG60 -4+7x = -x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:16.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 7x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:20.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE Subtract 7x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+7x = -x strategic 4 OK subtract 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4 = -8x strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 1 ERROR mt -1+5x = 9+3x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 2 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:22:59.0 HINT HINT ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:23:00.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:23:17.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 3x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session65 2007-04-20 10:23:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 4 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:36:41.0 HINT HINT ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:36:46.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:36:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 3x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:36:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 2 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+5x = 9+3x strategic 3 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+2x = 9 strategic 1 ERROR subtract 2x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:20.0 HINT HINT ES_05 ES_05-5 EG60 -1+2x = 9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:21.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE -1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:24.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+2x = 9 strategic 3 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x = 10 strategic 1 BUG multiply 2 To remove the coefficient of 2x, you need to divide. Erase your last step and then divide both sides by 2. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:44.0 HINT HINT ES_05 ES_05-5 EG60 2x = 10 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:44.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE 2x is 2 times x. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:48.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by 2. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:37:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x = 10 strategic 3 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+(-9) = 6+(-2x) strategic 1 OK rds 8x+(-9) = 6+(-2x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x-9 = 6-2x strategic 1 OK add 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 15-2x strategic 1 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10x = 15 strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+(-2) = -3+(-2y) strategic 1 OK rds -2y+(-2) = -3+(-2y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y-2 = -3-2y strategic 1 OK add 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -1-2y strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:38:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -1 strategic 1 BUG divide -1 You already solved the equation. 0 can never be equal to -1, so there is no solution to this equation. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:07.0 HINT HINT ES_05 ES_05-5 EG60 0 = -1 strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:08.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Since 0 never equals -1, no value of y will make this equation true. -2y+[-2] is never equal to -3+[-2y]. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5y+9 = -4y+9 strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:40.0 HINT HINT ES_05 ES_05-5 EG60 -5y = -4y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:41.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:44.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 4y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5y = -4y strategic 2 OK add 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:57.0 HINT HINT ES_05 ES_05-5 EG60 -y = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:39:59.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:03.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y = 0 strategic 2 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1+(-9x) = 9x+(-10) strategic 1 OK rds -1+(-9x) = 9x+(-10) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 1 ERROR add 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:26.0 HINT HINT ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:46.0 HINT HINT ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:47.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 9x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:40:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 4 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:01.0 HINT HINT ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:02.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:05.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE Subtract 9x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1-9x = 9x-10 strategic 6 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1-18x = -10 strategic 1 ERROR add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:30.0 HINT HINT ES_05 ES_05-5 EG60 -1-18x = -10 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 6 HINT_LEVEL_CHANGE -1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 7 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1-18x = -10 strategic 3 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:41:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -18x = -9 strategic 1 OK divide -18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+(-1y) = 3+(-9y) strategic 1 OK rds 3+(-1y) = 3+(-9y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3-1y = 3-9y strategic 1 BUG add 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3-1y = 3-9y strategic 2 OK add 1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 3-8y strategic 1 ERROR add 9y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:38.0 HINT HINT ES_05 ES_05-5 EG60 3 = 3-8y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:39.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE 3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:42.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:42:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 3-8y strategic 3 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:43:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -8y strategic 1 BUG divide 8 In this equation, y is multiplied by -8. Dividing by 8 leaves -y, so you still need to remove the negative sign. It is better to divide by -8, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:43:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -8y strategic 2 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:43:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5+3y = 1y+(-3) strategic 1 OK rds -5+3y = 1y+(-3) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:44:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5+3y = 1y-3 strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:44:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5 = -2y-3 strategic 1 ERROR subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:44:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5 = -2y-3 strategic 2 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:44:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -2y strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+(-5) = -5+2y strategic 1 OK rds 8y+(-5) = -5+2y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y-5 = -5+2y strategic 1 OK add 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 2y strategic 1 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = 0 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x+(-4) = -8x+(-6) strategic 1 OK rds 6x+(-4) = -8x+(-6) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x-4 = -8x-6 strategic 1 OK add 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 1 ERROR add 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 2 ERROR add 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:54.0 HINT HINT ES_05 ES_05-5 EG60 6x = -8x-2 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:55.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:45:58.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 8x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:46:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 4 ERROR add 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:46:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 5 ERROR add 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:46:30.0 HINT HINT ES_05 ES_05-5 EG60 6x = -8x-2 strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:46:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:46:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 8x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 7 ERROR add 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = -8x-2 strategic 8 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 14x = -2 strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+(-6y) = 5+(-9y) strategic 1 OK rds 3+(-6y) = 5+(-9y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3-6y = 5-9y strategic 1 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 5-3y strategic 1 ERROR add 9y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:50.0 HINT HINT ES_05 ES_05-5 EG60 3 = 5-3y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:51.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE 5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:47:54.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 5-3y strategic 3 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -3y strategic 1 ERROR divide 3y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -3y strategic 2 BUG divide -3y Dividing anything by itself will leave 1. If you divide -3y by -3, y will be left. Erase your last step and then divide by -3. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -3y strategic 3 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+1y = 0+(-3y) strategic 1 OK rds 1+1y = 0+(-3y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+1y = 0-3y strategic 1 OK subtract 1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:52.0 HINT HINT ES_05 ES_05-5 EG60 1 = -4y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:53.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -4y is -4 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:48:56.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -4. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:49:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -4y strategic 2 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:49:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+6 = -7y+10 strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:49:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+6-6 = -7y+10-6 left 1 OK left 9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:50:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 1 ERROR right -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:50:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 2 ERROR right -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:51:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 3 ERROR right 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:51:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 4 ERROR right y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:51:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 5 ERROR right 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:51:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 6 ERROR right -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:52:38.0 HINT HINT ES_05 ES_05-6 EG60 9y = -7y+10-6 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:52:40.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -7y+10-6 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:53:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 7 ERROR right 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:53:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 8 ERROR right -7+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:53:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 9 OK right -7y+10-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:54:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+6 = -7y+10 strategic 2 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:54:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+6-6 = -7y+10-6 left 2 OK left 9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:54:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 right 10 OK right -7y+10-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:54:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y+10-6 strategic 2 OK add 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:54:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+7y = -7y+10-6+7y left 1 OK left 16y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:55:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y+10-6+7y right 1 BUG right 4 Just add -7y+10-6 to 7y. You can simplify in the next step. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:55:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y+10-6+7y right 2 ERROR right -7y+10-6+7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:55:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y+10-6+7y right 3 OK right -7y+10-6+7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y+10-6+7y strategic 1 ERROR rds 16y = -7y+10-6+7y strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y+10-6+7y strategic 2 OK clt -7y+10-6+7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -7y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 0+4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:56:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = 0+4 strategic 1 OK unnec-elems 16y=0+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = 4 strategic 1 OK divide 16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y/16 = 4/16 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4/16 right 1 ERROR right 8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4/16 right 2 OK right 0.25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:54.0 HINT HINT ES_05 ES_05-6 EG60 y = 0.25 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:57:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:58:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+(-6y) = 5y+(-8) strategic 1 OK rds 0+(-6y) = 5y+(-8) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:58:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-6y = 5y-8 strategic 1 OK add 6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:58:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-6y+6y = 5y-8+6y left 1 ERROR left 6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:09.0 HINT HINT ES_05 ES_05-6 EG60 0-6y+6y = 5y-8+6y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 0-6y+6y on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-6y+6y = 5y-8+6y left 2 OK left 0-6y+6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-6y+6y = 5y-8+6y right 1 OK right 5y-8+6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-6y+6y = 5y-8+6y strategic 2 OK unnec-elems 0-6y+6y=5y-8+6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+6y = 5y-8+6y strategic 1 OK clt -6y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 09:59:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:05.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT y In the group above, -6y and 6y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR -6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK -6y+6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+6y = 5y-8+6y strategic 2 OK clt 5y-8+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK 5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK +6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 11y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:00:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 ERROR 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR 11y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK 11y+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:14.0 HINT HINT ES_05 ES_05-6 EG60 -6y+6y = 11y-8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:15.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+6y = 11y-8 strategic 2 OK clt -6y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 OK -6y+6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:37.0 HINT HINT ES_05 ES_05-6 EG60 -6y+6y = 11y-8 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:38.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+6y = 11y-8 strategic 4 OK clt -6y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 ERROR 6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:01:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 11y-8 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+8 = 11y-8+8 left 1 OK left 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 11y-8+8 right 1 OK right 11y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 11y strategic 1 BUG divide 11y Dividing anything by itself will leave 1. If you divide 11y by 11, y will be left. Erase your last step and then divide by 11. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 11y strategic 2 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8/11 = 11y/11 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:02:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8/11 = y left 1 OK left 0.7272 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+8x = -1+(-1x) strategic 1 OK rds 0+8x = -1+(-1x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+8x = -1-1x strategic 1 BUG subtract 8x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+8x = -1-1x strategic 2 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:27.0 HINT HINT ES_05 ES_05-6 EG60 0+8x = -1-1x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+8x = -1-1x strategic 4 OK clt 0+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG 0 0
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 0, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 8x+0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:03:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+0 = -1-1x strategic 1 OK unnec-elems 8x+0=-1-1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:00.0 HINT HINT ES_05 ES_05-6 EG60 8x = -1-x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = -1-x strategic 2 OK add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x left 1 BUG left 8x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x right 1 BUG right 1-x+x You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:04:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x right 2 OK right -1-x+x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x left 2 OK left 8x+x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x strategic 1 OK clt 8x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR 8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:32.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT 8x In the group above, 8x and x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 8x+x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1-x+x strategic 2 OK clt -1-x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG -1 -1
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -1, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK -x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:05:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 ERROR -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 ERROR 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:32.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 5 INITIAL_HINT 1 In the group above, -x and x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 6 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 ERROR 0+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 OK 0+-1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = 0-1 strategic 1 OK unnec-elems 8x+x=0-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:56.0 HINT HINT ES_05 ES_05-6 EG60 8x+x = -1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:06:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x+x = -1 strategic 2 OK clt 8x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:11.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 10 INITIAL_HINT In the group above, 8x and x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [8x]+[x] are 8 and 1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms 8x and x results in 9x HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK 9x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = -1 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x/9 = -1/9 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:07:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -1/9 right 1 OK right -0.11113 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+(-5x) = 3+9x strategic 1 OK rds 1+(-5x) = 3+9x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:06.0 HINT HINT ES_05 ES_05-6 EG60 1-5x = 3+9x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -5x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x = 3+9x strategic 2 ERROR add 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x = 3+9x strategic 3 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x+5x = 3+9x+5x right 1 ERROR right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x+5x = 3+9x+5x right 2 OK right 3+9x+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x+5x = 3+9x+5x left 1 OK left 1-5x+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:08:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x+5x = 3+9x+5x strategic 1 OK clt 1-5x+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 0+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+1 = 3+9x+5x strategic 1 OK unnec-elems 0+1=3+9x+5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+1 = 3+9x+5x strategic 2 OK clt 3+9x+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +9x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:09:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 14x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 14x+3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+1 = 14x+3 strategic 1 OK clt 0+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = 14x+3 strategic 1 ERROR clt 1 = 14x+3 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = 14x+3 strategic 2 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-3 = 14x+3-3 left 1 BUG left 2 You need to calculate 1 minus 3, not 3 minus 1. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:10:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-3 = 14x+3-3 left 2 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:11:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 14x+3-3 right 1 OK right 14x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:11:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 14x strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:11:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/14 = 14x/14 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:11:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/14 = x left 1 OK left -0.1428 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:11:55.0 HINT HINT ES_05 ES_05-6 EG60 -0.14285714 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:12:07.0 HINT HINT ES_05 ES_05-6 EG60 -0.14285714 = x strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:13:00.0 HINT HINT ES_05 ES_05-6 EG60 -0.14285714 = x strategic 3 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:13:02.0 HINT HINT ES_05 ES_05-6 EG60 -0.14285714 = x strategic 4 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:15:28.0 HINT HINT ES_05 ES_05-6 EG60 -0.14285714 = x strategic 5 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:17:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+(-3) = -2+(-8x) strategic 1 OK rds 5x+(-3) = -2+(-8x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:17:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-3 = -2-8x strategic 1 OK add 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:17:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-3+3 = -2-8x+3 left 1 OK left 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2-8x+3 right 1 OK right -2-8x+3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2-8x+3 strategic 1 OK clt -2-8x+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG +3 +3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +3, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 BUG +3 +3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +3, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 BUG  8x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG -8x -8x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 BUG  8x  8x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  8x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2-8x+3 strategic 2 OK clt -2-8x+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:18:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 3 OK +3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -8x+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 1 ERROR clt 5x = -8x+1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:33.0 HINT HINT ES_05 ES_05-6 EG60 5x = -8x+1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 3 ERROR subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 4 ERROR subtract 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:54.0 HINT HINT ES_05 ES_05-6 EG60 5x = -8x+1 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:19:59.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:20:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 6 OK subtract -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:21:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 1 ERROR left 8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:21:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 2 ERROR left 13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:21:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 3 BUG left -13x The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:21:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 4 OK left 13x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:22:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) right 1 ERROR right 1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:22:33.0 HINT HINT ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:22:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -8x+1-(-8x) on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:23:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) right 2 ERROR right -8x+1(-8X) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session66 2007-04-23 10:23:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) right 3 BUG right -8x+1-(8x) -8x+1-(8x) is equal to -8x+1 plus -8x. You need to calculate -8x+1 minus -8x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:20.0 HINT HINT ES_05 ES_05-6 EG60 5x = -8x+1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:24.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 2 ERROR subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:42.0 HINT HINT ES_05 ES_05-6 EG60 5x = -8x+1 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:43.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:58:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:59:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -8x+1 strategic 4 OK subtract -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 07:59:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 1 BUG left 3x 3x is equal to -5x minus -8x. You need to calculate 5x minus -8x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:00:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-(-8x) = -8x+1-(-8x) left 2 OK left 13x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) right 1 ERROR right 10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1-(-8x) right 2 OK right -8x+1-(-8x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:37.0 HINT HINT ES_05 ES_05-6 EG60 13x = -8x+1+8x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = -8x+1+8x strategic 2 OK clt -8x+1+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 BUG +1 +1
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +1, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:01:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 0+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = 0+1 strategic 1 OK unnec-elems 13x=0+1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x = 1 strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x/13 = 1/13 right 1 BUG right 13 13 is equal to 1 times 13. You need to calculate 1 divided by 13. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:02:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x/13 = 1/13 right 2 BUG right 1 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:03:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x/13 = 1/13 right 3 OK right 0.0769 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:03:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13x/13 = 0.07692308 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:03:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -1x+5 strategic 1 BUG subtract 2 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:04:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -1x+5 strategic 2 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:04:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x-2x = -1x+5-2x left 1 ERROR left -9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -1x+5 strategic 3 BUG subtract 2 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:24.0 HINT HINT ES_05 ES_05-6 EG60 -9+2x = -1x+5 strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -1x+5 strategic 5 OK mt -1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK -1 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:05:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -1*x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -x+5 strategic 1 ERROR divide -x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:20.0 HINT HINT ES_05 ES_05-6 EG60 -9+2x = -x+5 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:25.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x = -x+5 strategic 3 OK add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x right 1 OK right -x+5+x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:06:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x left 1 ERROR left -9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:07:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x left 2 ERROR left -7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:07:46.0 HINT HINT ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:07:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in -9+2x+x on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:08:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x left 3 OK left -9+2x+x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:08:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x strategic 2 ERROR mt -9+2x+x = -x+5+x strategic condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:08:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+2x+x = -x+5+x strategic 3 OK clt -9+2x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:08:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK +2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR 2x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 ERROR 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:18.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 5 INITIAL_HINT x In the group above, 2x and x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:20.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [+2x]+[+x] are 2 and 1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:24.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms 2x and x results in 3x HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 6 OK 3x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 3x+-9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-9 = -x+5+x strategic 1 OK clt -x+5+x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK -x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 BUG +5 +5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:09:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 3 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 7 ERROR -1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:11.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 8 INITIAL_HINT -1x In the group above, -x and x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE The coefficients in [-x]+[+x] are -1 and 1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Combining the like terms -x and x results in 0 HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 9 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 0+5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-9 = 0+5 strategic 1 OK unnec-elems 3x-9=0+5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-9 = 5 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:10:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-9+9 = 5+9 right 1 OK right 14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:11:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-9+9 = 14 left 1 OK left 3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:11:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = 14 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:11:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x/3 = 14/3 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:11:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 14/3 right 1 OK right 4.666667 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:12:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x+1 = 8+1x strategic 1 OK subtract 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x+1-1 = 8+1x-1 left 1 OK left 6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 8+1x-1 right 1 OK right 8+1x-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 8+1x-1 strategic 1 OK unnec-elems 6x=8+1x-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 8+x-1 strategic 1 OK clt 8+x-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG +x +x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:13:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK x+7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = x+7 strategic 1 ERROR subtract 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:38.0 HINT HINT ES_05 ES_05-6 EG60 6x = x+7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:39.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = x+7 strategic 3 OK subtract x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:14:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-x = x+7-x left 1 ERROR left x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:15:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-x = x+7-x left 2 OK left 6x-x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:15:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-x = x+7-x right 1 OK right x+7-x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:15:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-x = x+7-x strategic 1 OK clt 6x-x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:15:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:15:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:19.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT x In the group above, 6x and -x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:20.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE The coefficients in [6x]+[-x] are 6 and -1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:24.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Combining the like terms 6x and -x results in 5x HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = x+7-x strategic 1 OK clt x+7-x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR -1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:49.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 3 INITIAL_HINT -1x In the group above, x and -x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [x]+[-x] are 1 and -1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms x and -x results in 0 HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:16:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 0+7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0+7 strategic 1 OK unnec-elems 5x=0+7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 7 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x/5 = 7/5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:17:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 7/5 right 1 OK right 1.4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:18:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y+(-4) = 9+3y strategic 1 OK rds 5y+(-4) = 9+3y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:18:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-4 = 9+3y strategic 1 OK add 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:18:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-4+4 = 9+3y+4 left 1 OK left 5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 9+3y+4 right 1 OK right 9+3y+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 9+3y+4 strategic 1 OK clt 9+3y+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG +3y +3y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +3y, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 13 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:19:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 3y+13 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 3y+13 strategic 1 ERROR clt 5y = 3y+13 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 3y+13 strategic 2 ERROR subtract 13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:18.0 HINT HINT ES_05 ES_05-6 EG60 5y = 3y+13 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 3y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 3y+13 strategic 4 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:20:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-3y = 3y+13-3y right 1 ERROR right 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-3y = 3y+13-3y right 2 ERROR right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-3y = 3y+13-3y right 3 OK right 13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y-3y = 13 left 1 OK left 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y = 13 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y/2 = 13/2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:21:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 13/2 right 1 OK right 6.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:22:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0 = -6+(-2x) strategic 1 OK rds -2x+0 = -6+(-2x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:22:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0 = -6-2x strategic 1 OK subtract -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0-(-2x) = -6-2x-(-2x) left 1 BUG left -4x -4x is equal to -2x+0 plus -2x. You need to calculate -2x+0 minus -2x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:24:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0-(-2x) = -6-2x-(-2x) left 2 ERROR left -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:24:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = -2x+0-(-2x) right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:25:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = 0 left 1 ERROR left -2x+0(-2x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:25:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = 0 left 2 BUG left -2x+0-(-2x) Just subtract -2x from -2x+0. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:25:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = 0 left 3 ERROR left -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:26:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = 0 left 4 ERROR left -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session67 2007-04-26 08:27:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-2x-(-2x) = 0 left 5 BUG left -2x+0-(-2x) Just subtract -2x from -2x+0. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0 = -6-2x strategic 1 OK clt -2x+0 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2x+0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:41:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0 = -6-2x strategic 2 OK subtract 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:42:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+0-0 = -6-2x-0 left 1 OK left -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:42:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x-0 right 1 ERROR right -6+2x-0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:42:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x-0 right 2 OK right -6-2x-0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:42:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x-0 strategic 1 OK unnec-elems -2x=-6-2x-0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:42:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x strategic 1 ERROR clt -2x = -6-2x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x strategic 2 BUG divide -2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:07.0 HINT HINT ES_05 ES_05-6 EG60 -2x = -6-2x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 2x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x strategic 4 ERROR add -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:25.0 HINT HINT ES_05 ES_05-6 EG60 -2x = -6-2x strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:26.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 2x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x = -6-2x strategic 6 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:43:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+2x = -6-2x+2x left 1 OK left 0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = -6-2x+2x right 1 ERROR right -6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = -6-2x+2x right 2 ERROR right 6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = -6-2x+2x right 3 OK right -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:49.0 HINT HINT ES_05 ES_05-6 EG60 0x = -6 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = -6 strategic 2 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:44:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 0*x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:25.0 HINT HINT ES_05 ES_05-6 EG60 0x = -6 strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:45:26.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:46:41.0 HINT HINT ES_05 ES_05-6 EG60 0x = -6 strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:46:41.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:46:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = -6 strategic 5 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:46:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 2 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:46:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 2 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 0 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:16.0 HINT HINT ES_05 ES_05-6 EG60 0 = -6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Since 0 never equals -6, no value of x will make this equation true. -2x+0 is never equal to -6+[-2x]. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Select 'Classify Solution: No Solution'. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6x = -2+3x strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:47:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = -8+3x left 1 OK left 6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = -8+3x right 1 OK right -2+3x-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:05.0 HINT HINT ES_05 ES_05-6 EG60 6x = -2+3x-6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = -2+3x-6 strategic 2 OK clt -2+3x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 3x+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 3x-8 strategic 1 ERROR add 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:58.0 HINT HINT ES_05 ES_05-6 EG60 6x = 3x-8 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:48:59.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 3x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 3x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 3x-8 strategic 3 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = -8 left 1 OK left 3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = -8 right 1 OK right 3x-8-3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = 3x-8-3x strategic 1 OK clt 3x-8-3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK 3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:49:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 0+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = 0-8 strategic 1 OK unnec-elems 3x=0-8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = -8 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -8/3 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:50:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -8/3 right 1 OK right -2.66667 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x+(-5) = -9x+1 strategic 1 OK rds -4x+(-5) = -9x+1 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-5 = -9x+1 strategic 1 OK add 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+6 left 1 OK left -4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+6 right 1 OK right -9x+1+5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+1+5 strategic 1 OK clt -9x+1+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -9x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -9x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:51:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -9x+6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+6 strategic 1 ERROR subtract -9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:07.0 HINT HINT ES_05 ES_05-6 EG60 -4x = -9x+6 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -9x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -9x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+6 strategic 3 ERROR subtract -9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:24.0 HINT HINT ES_05 ES_05-6 EG60 -4x = -9x+6 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:25.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -9x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -9x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -9x+6 strategic 5 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:52:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 6 left 1 OK left 5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:53:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 6 right 1 ERROR right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:53:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 6 right 2 ERROR right -12x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 6 right 3 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 6 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/5 right 1 OK right 1.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+5y = 10+(-5y) strategic 1 OK rds -8+5y = 10+(-5y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+5y = 10-5y strategic 1 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:51.0 HINT HINT ES_05 ES_05-6 EG60 -8+5y = 10-5y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:54:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 5y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:55:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+5y = 10-5y strategic 3 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:55:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+10y = 10 left 1 ERROR left -8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:55:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+10y = 10 left 2 ERROR left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:55:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+10y = 10 left 3 ERROR left 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+10y = 10 right 1 OK right 10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+10y = 10 left 4 OK left -8+5y+5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+5y+5y = 10 strategic 1 OK clt -8+5y+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 10y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 10y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 10y+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:56:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y-8 = 10 strategic 1 ERROR add 10y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:03.0 HINT HINT ES_05 ES_05-6 EG60 10y-8 = 10 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE -8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:07.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y-8 = 10 strategic 3 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = 18 right 1 OK right 18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = 18 left 1 BUG left 10 You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = 18 left 2 OK left 10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:57:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = 18 strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:58:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 9/5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:58:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 9/5 right 1 OK right 1.8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:58:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+9x = -6x+10 strategic 1 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:58:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -15x+10 left 1 ERROR left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:58:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -15x+10 left 2 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -15x+10 right 1 ERROR right -6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -15x+10 right 2 OK right -6x+10-9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -6x+10-9x strategic 1 OK clt -6x+10-9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -9x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -15x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -15x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -15x+10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 09:59:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = -15x+10 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x left 1 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x right 1 OK right -15x+10-10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x+10-10 strategic 1 OK clt -15x+10-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -15x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG -15x -15x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -15x, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:00:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x+10-10 strategic 2 OK clt -15x+10-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK -10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK -15x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK -15x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -15x+0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x+0 strategic 1 OK unnec-elems -6=-15x+0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:28.0 HINT HINT ES_05 ES_05-6 EG60 -6 = -15x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE -15x is -15 times x. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -15. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -15x strategic 2 OK divide -15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2/5 = x right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:01:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2/5 = x left 1 OK left 0.4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+2 = 2x+9 strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+7 left 1 OK left -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+7 right 1 ERROR right 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+7 right 2 OK right 2x+9-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+9-2 strategic 1 OK clt 2x+9-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:02:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:03:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:03:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 2x+7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:03:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+7 strategic 1 ERROR subtract 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:03:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 2x+7 strategic 2 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:03:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10x = 7 right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:04:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10x = 7 left 1 OK left -10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:04:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10x = 7 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:04:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -7/10 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:04:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -7/10 right 1 OK right -0.7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:05:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+2x = -5+6x strategic 1 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:05:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+4x left 1 ERROR left 3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:06:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+4x right 1 ERROR right 9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:06:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+4x right 2 ERROR right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+4x left 2 OK left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+4x right 3 OK right -5+6x-2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -5+6x-2x strategic 1 OK clt -5+6x-2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 4x+-5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 4x-5 strategic 1 BUG subtract 5 Since -5 is negative, you should add to remove it from the right side. Erase your last step and add 5 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:07:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 4x-5 strategic 2 ERROR subtract 4x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 4x-5 strategic 3 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 4x left 1 OK left 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 4x right 1 OK right 4x-5+5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 4x-5+5 strategic 1 OK clt 4x-5+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:08:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 4x strategic 1 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8 = 4x strategic 2 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = x right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = x left 1 OK left 2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:38.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.63y+(-7.91) = 5.86+4.86y strategic 1 OK rds 8.63y+(-7.91) = 5.86+4.86y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.63y-7.91 = 5.86+4.86y strategic 1 OK add 7.91 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:09:57.0 HINT HINT ES_05 ES_05-7 EG61 8.63y = 13.77+4.86y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:00.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.86y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:04.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.86y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.63y = 13.77+4.86y strategic 2 ERROR subtract 4.86 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.63y = 13.77+4.86y strategic 3 OK subtract 4.86y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.77y = 13.77 strategic 1 OK divide 3.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.85x+(-0.98) = 3.96x+(-8.29) strategic 1 OK rds -2.85x+(-0.98) = 3.96x+(-8.29) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.85x-0.98 = 3.96x-8.29 strategic 1 OK add 0.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:10:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.85x = 3.96x-7.31 strategic 1 ERROR add 7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:02.0 HINT HINT ES_05 ES_05-7 EG61 -2.85x = 3.96x-7.31 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:04.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.96x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:07.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 3.96x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.85x = 3.96x-7.31 strategic 3 ERROR subtract 3.96 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:21.0 HINT HINT ES_05 ES_05-7 EG61 -2.85x = 3.96x-7.31 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:22.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 3.96x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:26.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Subtract 3.96x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.85x = 3.96x-7.31 strategic 5 OK subtract 3.96x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:11:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.81x = -7.31 strategic 1 OK divide -6.81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28+9y = -4.76+(-8.25y) strategic 1 OK rds -1.28+9y = -4.76+(-8.25y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28+9y = -4.76-8.25y strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28+9y = -4.76-8.25y strategic 2 OK subtract 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28 = -4.76-17.25y strategic 1 ERROR add 17.25y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28 = -4.76-17.25y strategic 2 BUG add -4.76 To remove -4.76 from the right side, you can add a positive to it. Erase your last step and add 4.76 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:12:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28 = -4.76-17.25y strategic 3 OK add 4.76 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:13:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.48 = -17.25y strategic 1 OK divide -17.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:13:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.01+2.72y = 1.56+6.13y strategic 1 OK subtract 2.72y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:13:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.01 = 1.56+3.41y strategic 1 BUG add 1.56 Since 1.56 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 1.56 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:13:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.01 = 1.56+3.41y strategic 2 ERROR add 3.41 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:13:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.01 = 1.56+3.41y strategic 3 ERROR add 3.41y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.01 = 1.56+3.41y strategic 4 OK subtract 1.56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.45 = 3.41y strategic 1 BUG divide 3.41y Dividing anything by itself will leave 1. If you divide 3.41y by 3.41, y will be left. Erase your last step and then divide by 3.41. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.45 = 3.41y strategic 2 OK divide 3.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.09x+(-2.52) = 7.52x+(-8.69) strategic 1 OK rds 9.09x+(-2.52) = 7.52x+(-8.69) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.09x-2.52 = 7.52x-8.69 strategic 1 OK add 2.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:14:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.09x = 7.52x-6.17 strategic 1 OK subtract 7.52x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.57x = -6.17 strategic 1 BUG divide 1.57x Dividing anything by itself will leave 1. If you divide 1.57x by 1.57, x will be left. Erase your last step and then divide by 1.57. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:09.0 HINT HINT ES_05 ES_05-7 EG61 1 = -3.92993631/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:10.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE -3.9299/x is -3.9299 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:13.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:23.0 HINT HINT ES_05 ES_05-7 EG61 1.57x = -6.17 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:24.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 1.57x is 1.57 times x. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:27.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 1.57. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.57x = -6.17 strategic 3 OK divide 1.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46+(-1.02x) = -7.86+(-5.42x) strategic 1 OK rds 7.46+(-1.02x) = -7.86+(-5.42x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46-1.02x = -7.86-5.42x strategic 1 ERROR add 1.02 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:15:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46-1.02x = -7.86-5.42x strategic 2 OK add 1.02x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 1 ERROR subtract 4.4x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 2 ERROR add 4.4x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:24.0 HINT HINT ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:25.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE -7.86 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -7.86 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:29.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE You can add 7.86 to both sides of the equation to eliminate the constant value of -7.86 (-7.86 + 7.86 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 4 BUG add -7.86 To remove -7.86 from the right side, you can add a positive to it. Erase your last step and add 7.86 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:56.0 HINT HINT ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:16:58.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE -7.86 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -7.86 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:01.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can add 7.86 to both sides of the equation to eliminate the constant value of -7.86 (-7.86 + 7.86 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.46 = -7.86-4.4x strategic 6 OK add 7.86 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 15.32 = -4.4x strategic 1 OK divide -4.4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y+(-3.57) strategic 1 OK rds -5.45+1.97y = 3.01y+(-3.57) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:36.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 1 ERROR subtract 1.97 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:41.0 HINT HINT ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:42.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.01y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:17:46.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 3.01y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:18:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 3 OK subtract 3.01y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:18:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45-1.04y = -3.57 strategic 1 ERROR add 1.04y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:18:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 4 ERROR add 3.01y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:18:36.0 HINT HINT ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:18:37.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 3.01y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:22:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 1 ERROR add 3.01y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:22:51.0 HINT HINT ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:22:51.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.01y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:22:55.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 3.01y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45+1.97y = 3.01y-3.57 strategic 3 OK subtract 3.01y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45-1.04y = -3.57 strategic 1 ERROR add 1.04y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:23.0 HINT HINT ES_05 ES_05-7 EG61 -5.45-1.04y = -3.57 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:24.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE -5.45 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5.45 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:27.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can add 5.45 to both sides of the equation to eliminate the constant value of -5.45 (-5.45 + 5.45 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.45-1.04y = -3.57 strategic 3 OK add 5.45 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:23:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.04y = 1.88 strategic 1 BUG divide -1.04y Dividing anything by itself will leave 1. If you divide -1.04y by -1.04, y will be left. Erase your last step and then divide by -1.04. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:24:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.04y = 1.88 strategic 2 BUG divide -1.04y Dividing anything by itself will leave 1. If you divide -1.04y by -1.04, y will be left. Erase your last step and then divide by -1.04. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1VVSIbg session68 2007-04-27 10:24:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.04y = 1.88 strategic 3 OK divide -1.04 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 1iJs69g session49 2007-04-20 13:30:47.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR clt -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:32:05.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:33:49.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide 1444 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:34:21.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:34:35.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 3 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:38:28.0 HINT HINT ES_05 ES_05-1 EG43 -83y+(-10) = -46 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:39:20.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -83y+(-10) = -46 strategic 2 BUG divide -46 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:40:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -83y+(-10) = -46 strategic 3 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:41:19.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -83y = -36 strategic 1 OK divide -83 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:42:36.0 CYCLE CYCLE ES_05 ES_05-1 EG42 35.45x+57.85 = -13.99 strategic 1 ERROR clt 35.45x+57.85 = -13.99 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:43:21.0 CYCLE CYCLE ES_05 ES_05-1 EG42 35.45x+57.85 = -13.99 strategic 2 OK subtract 57.85 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:44:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42 35.45x = -71.84 strategic 1 OK divide 35.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:45:12.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9215+(-9636y) = -5016 strategic 1 OK subtract 9215 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:45:33.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9636y = -14231 strategic 1 OK divide -9636 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:45:54.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 1.77 = 12.72y+2.68 strategic 1 OK subtract 2.68 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:46:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -0.91 = 12.72y strategic 1 OK divide 12.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:46:40.0 CYCLE CYCLE ES_05 ES_05-2 EG42 23.62+(-29.26y) = -2.72 strategic 1 OK subtract 23.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:47:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42 23.62+(-29.26y)-23.62 = -2.72-23.62 left 1 OK left -29.26y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:48:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -29.26y = -2.72-23.62 right 1 OK right -26.34 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:48:23.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -29.26y = -26.34 strategic 1 OK divide -29.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:48:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -29.26y/-29.26 = -26.34/-29.26 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:50:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42 y = -26.34/-29.26 right 1 OK right 0.9002 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:51:10.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -54x+(-83) = -71 strategic 1 OK subtract -83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:51:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -54x+(-83)-(-83) = -71-(-83) left 1 OK left -54x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:51:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -54x = -71-(-83) right 1 OK right 12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:52:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -54x = 12 strategic 1 OK divide -54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:52:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -54x/-54 = 12/-54 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:53:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = 12/-54 right 1 OK right -0.22 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:53:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4052 = 9641x+2146 strategic 1 OK subtract 2146 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:54:23.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4052-2146 = 9641x+2146-2146 left 1 OK left 1906 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:54:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1906 = 9641x+2146-2146 right 1 OK right 9641x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:55:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1906 = 9641x strategic 1 BUG divide 1906 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:55:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1906 = 9641x strategic 2 OK divide 9641 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:56:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1906/9641 = 9641x/9641 left 1 OK left 0.1976 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:56:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 0.19769733 = 9641x/9641 right 1 OK right x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:57:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.07x+11.54 = -13.24 strategic 1 OK subtract 11.54 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:57:27.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.07x+11.54-11.54 = -13.24-11.54 left 1 OK left 0.07x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:57:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.07x = -13.24-11.54 right 1 OK right -24.78 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:58:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.07x = -24.78 strategic 1 OK divide 0.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:58:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.07x/0.07 = -24.78/0.07 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:59:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42A x = -24.78/0.07 right 1 OK right -354 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 13:59:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -64 = 10+45/y strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:00:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -74 = 45/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:00:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -74y = 45 strategic 1 OK divide -74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:01:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x+(-253) = -354 strategic 1 ERROR divide x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:01:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x+(-253) = -354 strategic 2 ERROR multiply -x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:02:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x+(-253) = -354 strategic 3 OK subtract -253 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:02:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x = -101 strategic 1 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:08:44.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x+(-253) = -354 strategic 4 OK add 253 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:09:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497/x = -101 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:09:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -497 = -101x strategic 1 OK divide -101 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:09:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 456+502/x = 845 strategic 1 OK subtract 456 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:10:05.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 502/x = 389 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:10:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 502 = 389x strategic 1 OK divide 389 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:10:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -5 = 55+(-66/x) strategic 1 OK subtract 55 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:10:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -60 = -66/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:11:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -60x = -66 strategic 1 OK divide -60 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:11:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -51 = -33+97/y strategic 1 OK subtract -33 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:12:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -51-(-33) = -33+97/y-(-33) left 1 OK left -18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:12:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18 = -33+97/y-(-33) right 1 ERROR right 97-y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:12:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18 = -33+97/y-(-33) right 2 OK right 97/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:13:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18 = 97/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:16:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18y = 97/y*y left 1 OK left -18y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:16:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18y = 97/y*y right 1 OK right 97 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:17:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18y = 97 strategic 1 OK divide -18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:17:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -18y/-18 = 97/-18 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:17:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 97/-18 right 1 OK right -5.3888 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session49 2007-04-20 14:18:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 636 = -367+(-172/x) strategic 1 OK subtract -367 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:22:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 636 = -367+(-172/x) strategic 1 OK add 367 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:23:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 636+367 = -367+(-172/x)+367 left 1 OK left 1003 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:23:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003 = -367+(-172/x)+367 right 1 OK right -172/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:23:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003 = -172/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:24:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003x = -172/x*x left 1 OK left 1003x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:26:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003x = -172/x*x right 1 OK right -172 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:26:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003x = -172 strategic 1 OK divide 1003 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:26:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1003x/1003 = -172/1003 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:28:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -172/1003 right 1 ERROR right -01714 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:30:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -172/1003 right 2 OK right -0.1714 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:31:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -843+73/x = -724 strategic 1 OK subtract -843 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:33:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -843+73/x-(-843) = -724-(-843) left 1 OK left 73/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:42:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73/x = -724-(-843) right 1 OK right 119 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:42:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73/x = 119 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:42:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73/x*x = 119x left 1 OK left 73 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:42:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73 = 119x right 1 OK right 119x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:43:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73 = 119x strategic 1 OK divide 119 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:43:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 73/119 = 119x/119 left 1 OK left 0.61344 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:43:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 0.61344538 = 119x/119 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:47:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+5y = -5y+(-9) strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:47:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y = -5y-17 strategic 1 ERROR add 17 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:50:47.0 HINT HINT ES_05 ES_05-5 EG60 5y = -5y-17 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:51:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y = -5y-17 strategic 3 BUG divide 5 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:57:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y = -5y-17 strategic 4 OK add -5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:58:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -10y-17 strategic 1 OK add 17 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 13:58:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 17 = -10y strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 14:04:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y+(-8) = -9+1y strategic 1 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session50 2007-04-25 14:07:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = -1+y strategic 1 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:21:07.0 HINT HINT ES_05 ES_05-5 EG60 -3y = -1+y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:21:08.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:21:11.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:23:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = -1+y strategic 2 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:23:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = -1+y strategic 3 OK subtract y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:24:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4y = -1 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:24:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+0 = -5+(-8y) strategic 1 OK add 5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:25:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+5 = -8y strategic 1 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:26:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+5 = -8y strategic 2 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:26:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 17y+5 = 0 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:26:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 17y = -5 strategic 1 ERROR divide 177 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:26:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 17y = -5 strategic 2 OK divide 17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:26:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6+(-9x) = -8+8x strategic 1 ERROR distribute 6+(-9x) = -8+8x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:27:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6+(-9x) = -8+8x strategic 2 OK rds 6+(-9x) = -8+8x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:27:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6-9x = -8+8x strategic 1 OK subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:28:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6-17x = -8 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session52 2007-05-09 13:28:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -17x = -14 strategic 1 OK divide -17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:27:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+4 = 1+7x strategic 1 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:27:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+3 = 7x strategic 1 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:28:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+3 = 7x strategic 2 BUG divide 7 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:29:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+3 = 7x strategic 3 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:29:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 4x strategic 1 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:30:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 4x strategic 2 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:31:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+9 = 3+10x strategic 1 OK subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:32:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 1 ERROR divide 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:33:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 2 ERROR divide 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:33:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 3 BUG divide 10 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:33:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 4 ERROR subtract 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:33:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 5 ERROR divide 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:35:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x+6 = 10x strategic 6 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:35:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 5x strategic 1 BUG divide 5x Dividing anything by itself will leave 1. If you divide 5x by 5, x will be left. Erase your last step and then divide by 5. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:36:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 5x strategic 2 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:36:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9x+2 = 1x+2 strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:37:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9x = x strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:38:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9x+2 = 1x+2 strategic 2 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:39:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9x+2 = 1x+2 strategic 3 OK subtract 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:39:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:39:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 0 strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:40:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6+3y = -2+(-9y) strategic 1 OK subtract 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:40:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -8-9y strategic 1 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:41:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -8-9y strategic 2 ERROR multiply 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:45:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -8-9y strategic 3 BUG divide 3 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:45:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -8-9y strategic 4 BUG add -8 To remove -8 from the right side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:45:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -8-9y strategic 5 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:46:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -8-12y strategic 1 ERROR add zzawce condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:47:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -8-12y strategic 2 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:47:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8 = -12y strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:47:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+1x = -9+(-1x) strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:49:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x = -11-x strategic 1 ERROR add 11 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:49:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x = -11-x strategic 2 OK add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:50:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x = -11 strategic 1 ERROR add 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:50:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x = -11 strategic 2 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5x+9 = -5+8x strategic 1 OK subtract 9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5x = -14+8x strategic 1 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -14+13x strategic 1 OK add 14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 14 = 13x strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+(-1x) = -1+(-4x) strategic 1 ERROR distribute 8+(-1x) = -1+(-4x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+(-1x) = -1+(-4x) strategic 2 OK rds 8+(-1x) = -1+(-4x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8-1x = -1-4x strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = -9-4x strategic 1 OK add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -9-3x strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:51:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3+(-2y) = 7y+(-7) strategic 1 OK rds -3+(-2y) = 7y+(-7) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-2y = 7y-7 strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3 = 9y-7 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8+9y = -8y+8 strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8+9y-8 = -8y+8-8 left 1 OK left 9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -8y+8-8 right 1 OK right -8y condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:52:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -8y strategic 1 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:53:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+8y = -8y+8y right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:53:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+8y = 0 left 1 OK left 17y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:53:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 17y = 0 strategic 1 OK divide 17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:53:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 17y/17 = 0/17 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:53:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 0/17 right 1 OK right 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+7x = 10+1x strategic 1 OK subtract 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+7x-10 = 10+1x-10 left 1 OK left -7+7x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x = 10+1x-10 right 1 OK right 1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x = 1x strategic 1 OK unnec-elems -7+7x=1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x = x strategic 1 OK subtract x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x-x = x-x left 1 BUG left -7+7x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:54:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x-x = x-x left 2 BUG left -7+8x -7+8x is equal to -7+7x plus x. You need to calculate -7+7x minus x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+7x-x = x-x left 3 OK left -7+6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+6x = x-x right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+6x = 0 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+6x+7 = 0+7 left 1 OK left 6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 0+7 right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 7 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x/6 = 7/6 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 7/6 right 1 OK right 1.1666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:55:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+(-5y) = 1+5y strategic 1 OK rds -3+(-5y) = 1+5y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-5y = 1+5y strategic 1 OK add 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-5y+3 = 1+5y+3 left 1 OK left -5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = 1+5y+3 right 1 OK right 4+5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = 4+5y strategic 1 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 4+5y+5y left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 4+5y+5y right 1 OK right 4+10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:56:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 4+10y strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:57:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-4 = 4+10y-4 left 1 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:57:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 4+10y-4 right 1 OK right 10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:57:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 10y strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:57:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/10 = 10y/10 left 1 OK left -0.4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 13:57:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.4 = 10y/10 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:01:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x+(-6) = 7+(-8x) strategic 1 OK rds 6x+(-6) = 7+(-8x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:02:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-6 = 7-8x strategic 1 OK add 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:02:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-6+6 = 7-8x+6 left 1 OK left 6x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:03:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 7-8x+6 right 1 OK right 13-8x condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x = 13-8x strategic 1 OK subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6x-6x = 13-8x-6x left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 13-8x-6x right 1 ERROR right -14x-13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 13-8x-6x right 2 OK right 13-14x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 13-14x strategic 1 OK subtract 13 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-13 = 13-14x-13 left 1 OK left -13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:04:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13 = 13-14x-13 right 1 OK right -14x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:05:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13 = -14x strategic 1 OK divide -14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:05:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13/-14 = -14x/-14 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:05:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13/-14 = x left 1 OK left 0.9285 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:05:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.16y+9.66 = -3.54y+(-1.56) strategic 1 OK rds -7.16y+9.66 = -3.54y+(-1.56) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:06:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.16y+9.66 = -3.54y-1.56 strategic 1 OK add 7.16y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:06:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.66 = 3.62y-1.56 strategic 1 OK add 1.56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:07:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.22 = 3.62y strategic 1 BUG subtract 3.62 In 3.62y, y is multiplied by 3.62. How do you undo multiplication? BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:07:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.22 = 3.62y strategic 2 OK divide 3.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:07:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.56x+6.62 = 0.15+1.68x strategic 1 OK subtract 1.68x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:10:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.24x+6.62 = 0.15 strategic 1 OK subtract 6.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:12:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.24x = -6.47 strategic 1 OK divide -7.24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:12:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5+(-9.74y) = 7.27y+(-3.31) strategic 1 OK rds -5+(-9.74y) = 7.27y+(-3.31) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:13:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5-9.74y = 7.27y-3.31 strategic 1 OK subtract 7.27y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:13:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5-17.01y = -3.31 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:13:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -17.01y = 1.69 strategic 1 OK divide -17.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 1iJs69g session54 2007-05-23 14:13:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.57x+8.76 = 1.61x+(-6.02) strategic 1 OK rds 8.57x+8.76 = 1.61x+(-6.02) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 248khmigsp session48 2007-04-25 11:41:13.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 BUG add -4613 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:41:35.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:41:49.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:42:17.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 ERROR divide -1444 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:42:32.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 3 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:42:40.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:43:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42 28.56x+99.2 = -15.68 strategic 1 ERROR subtract 28.56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:43:35.0 CYCLE CYCLE ES_05 ES_05-1 EG42 28.56x+99.2 = -15.68 strategic 2 ERROR subtract 28.56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:54:47.0 CYCLE CYCLE ES_05 ES_05-1 EG42 28.56x+99.2 = -15.68 strategic 1 OK subtract 99.2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:55:03.0 CYCLE CYCLE ES_05 ES_05-1 EG42 28.56x = -114.88 strategic 1 BUG divide -114.88 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:55:21.0 CYCLE CYCLE ES_05 ES_05-1 EG42 28.56x = -114.88 strategic 2 OK divide 28.56 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:55:35.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 1 ERROR clt -85 = 83+(-12y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:55:40.0 HINT HINT ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session48 2007-04-25 11:55:43.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session49 2007-04-25 15:54:08.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 1 OK rds -85 = 83+(-12y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:28:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 1 BUG add -85 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:29:24.0 HINT HINT ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:29:26.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:29:52.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83+(-12y) strategic 3 OK rds -85 = 83+(-12y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:31:42.0 HINT HINT ES_05 ES_05-1 EG43 -85 = 83-12y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:31:45.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE 83 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 83 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:31:49.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE You can subtract 83 from both sides of the equation to eliminate the constant value of 83 (83 - 83 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:32:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83-12y strategic 2 OK subtract 83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:32:42.0 HINT HINT ES_05 ES_05-1 EG43 -168 = -12y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:32:46.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 4 HINT_LEVEL_CHANGE -12y is -12 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:32:49.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -12. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:33:30.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -85 = 83-12y strategic 3 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:34:44.0 HINT HINT ES_05 ES_05-1 EG43 85/12 = -(83-12y)/12 strategic 1 INITIAL_HINT condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:34:46.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 6 HINT_LEVEL_CHANGE In -(83-12y)/12, -[83-12y] is divided by 12. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:34:51.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 7 HINT_LEVEL_CHANGE Multiply both sides by 12. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:35:29.0 CYCLE CYCLE ES_05 ES_05-1 EG43 85/12 = -(83-12y)/12 strategic 2 ERROR multiply -12 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:36:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43 85/12 = -(83-12y)/12 strategic 3 OK multiply 12 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:36:29.0 HINT HINT ES_05 ES_05-1 EG43 85 = -(83-12y) strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:36:32.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 8 HINT_LEVEL_CHANGE In the expression -[83-12y], (83-12y) is preceded by -1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:36:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43 85 = -(83-12y) strategic 2 OK distribute -(83-12y) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:37:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43 85 = -83+12y strategic 1 ERROR subtract 12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:37:57.0 HINT HINT ES_05 ES_05-1 EG43 85 = -83+12y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:38:01.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 9 HINT_LEVEL_CHANGE -83 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -83 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 248khmigsp session51 2007-05-02 11:38:04.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 10 HINT_LEVEL_CHANGE You can add 83 to both sides of the equation to eliminate the constant value of -83 (-83 + 83 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 2JcB729 session0 2007-04-19 09:42:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:43:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide -1444 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:43:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 1 ERROR rf 2029/722 = 286y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:43:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 2 ERROR rf 2029/722 = 286y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:44:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check 2029/722 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:44:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 3 ERROR rf 2029/722 = 286y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:45:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 4 ERROR rf 2029/722 = 286y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:45:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 5 ERROR rf 2029/722 = 286y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:45:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/722 = 286y/361 strategic 6 ERROR divide 286 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:45:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/206492 = y/361 strategic 1 ERROR rf 2029/206492 = y/361 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:46:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/206492 = y/361 strategic 2 BUG divide 361 To remove the coefficient of y/361, you need to divide by 1/361 or multiply by 361. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:46:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:47:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:47:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:47:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG divide 2029 You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:48:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 3 BUG divide y You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:48:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 4 BUG divide 1 You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:49:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 5 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:49:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 6 BUG divide 572 You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:51:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 3 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 7 BUG distribute 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:51:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 8 BUG mt 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:52:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 9 BUG divide 2029 You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:52:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 4 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR distribute -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 5 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:53:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 10 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:54:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 11 BUG multiply 527 You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:54:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 6 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 12 BUG distribute 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 7 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:56:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 13 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:57:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:58:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 61.12 = 13.11x+(-86.98) strategic 1 OK add 86.98 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:58:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 148.1 = 13.11x strategic 1 OK divide 13.11 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 11.29672006 = x strategic 1 BUG rf 11.29672006 = x strategic You already solved the equation. x is 11.2967. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:58:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 61.12 = 13.11x+(-86.98) strategic 2 OK answer-check 11.2967 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:59:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -68 = -55+(-28y) strategic 1 OK add 55 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:59:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -13 = -28y strategic 1 OK divide -28 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:59:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -68 = -55+(-28y) strategic 2 ERROR answer-check 19/28 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:59:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -68 = -55+(-28y) strategic 3 OK answer-check 13/28 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 09:59:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -46+96y = -71 strategic 1 BUG subtract 46 Since -46 is negative, you should add to remove it from the left side. Erase your last step and add 46 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:00:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -46+96y = -71 strategic 2 OK subtract -46 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:00:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 96y = -25 strategic 1 OK divide 96 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:00:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -46+96y = -71 strategic 3 OK answer-check -25/96 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:00:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x+(-4.36) = -5.27 strategic 1 BUG add -4.36 To remove -4.36 from the left side, you can add a positive to it. Erase your last step and add 4.36 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:01:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x+(-4.36) = -5.27 strategic 2 ERROR add -4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:01:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x+(-4.36) = -5.27 strategic 3 BUG add -4.36 To remove -4.36 from the left side, you can add a positive to it. Erase your last step and add 4.36 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:01:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x+(-4.36) = -5.27 strategic 4 BUG add -4.36 To remove -4.36 from the left side, you can add a positive to it. Erase your last step and add 4.36 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:02:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x-8.72 = -9.63 strategic 1 BUG subtract 8.72 Since -8.72 is negative, you should add to remove it from the left side. Erase your last step and add 8.72 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:02:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x-8.72 = -9.63 strategic 2 OK add 8.72 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x = -0.91 strategic 1 OK divide -1.29 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:02:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.29x+(-4.36) = -5.27 strategic 5 OK answer-check 0.7054 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:02:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -4.37 = -6.17+(-11.43y) strategic 1 OK subtract -6.17 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:03:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 1.8 = -11.43y strategic 1 OK divide -11.43 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:03:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -4.37 = -6.17+(-11.43y) strategic 2 OK answer-check -0.1575 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:03:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -57 = -16+(-52y) strategic 1 OK subtract -16 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:04:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -57-(-16) = -16+(-52y)-(-16) left 1 OK left -41 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:04:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -41 = -16+(-52y)-(-16) right 1 OK right -52y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:04:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -41 = -52y strategic 1 OK divide -52 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:05:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -41/-52 = -52y/-52 left 1 OK left 0.7884615 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:05:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.78846154 = -52y/-52 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -57 = -16+(-52y) strategic 2 OK answer-check 0.7885 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:05:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 1 OK subtract 7.8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99-7.8 = 3.02y+7.8-7.8 left 1 OK left -18.79 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:06:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79 = 3.02y+7.8-7.8 right 1 OK right 3.02 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:06:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79 = 3.02 strategic 1 BUG divide 3.02 You want to isolate -something- by removing 3.02 from the right side. 3.02 is added to -something-. What is the opposite of addition? BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:07:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79/3.02 = 3.02/3.02 left 1 OK left 6.2218 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:07:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 6.2218 = 3.02/3.02 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 2 ERROR answer-check 6.2218 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 3 OK subtract 7.8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:08:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99-7.8 = 3.02y+7.8-7.8 left 2 OK left -18.79 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:08:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79 = 3.02y+7.8-7.8 right 2 OK right 3.02y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:08:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79 = 3.02y strategic 1 ERROR divide 30.2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -18.79/30.2 = 3.02y/30.2 left 1 OK left -0.62218 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.62218543 = 3.02y/30.2 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 4 ERROR answer-check -0.6222 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 5 BUG add -10.99 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99+(-10.99) = 3.02y+7.8+(-10.99) left 1 OK left 0 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:09:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 0 = 3.02y+7.8+(-10.99) right 1 OK right 3.02y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:10:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 0 = 3.02y strategic 1 OK divide 3.02 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:10:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 0/3.02 = 3.02y/3.02 left 1 OK left o condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:10:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C o = 3.02y/3.02 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 6 ERROR answer-check 0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:10:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -10.99 = 3.02y+7.8 strategic 7 OK answer-check -6.2219 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:11:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.32 = -2.63+14.85y strategic 1 OK subtract -2.63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.32-(-2.63) = -2.63+14.85y-(-2.63) left 1 OK left -5.69 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:12:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.69 = -2.63+14.85y-(-2.63) right 1 OK right 14.85y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.69 = 14.85y strategic 1 OK divide 14.85 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:13:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.69/14.85 = 14.85y/14.85 left 1 OK left -0.383164 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -0.38316498 = 14.85y/14.85 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:13:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.32 = -2.63+14.85y strategic 2 OK answer-check -0.3832 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:13:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 1 OK subtract 7099 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-7099 = 1471-7099 left 1 OK left 6497 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6497 = 1471-7099 right 1 OK right -5628 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 2 BUG subtract -7099 To remove 7099 from the left side, you can subtract a positive from it. Erase your last step and subtract 7099 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:16:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-(-7099) = 1471-(-7099) left 1 OK left 20695 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:16:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 20695 = 1471-(-7099) right 1 OK right 8570y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:16:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 20695 = 8570y strategic 1 OK divide 8570 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:16:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 20695/8570 = 8570y/8570 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:17:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 20695/8570 = y left 1 OK left 2.4101 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:17:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 3 ERROR answer-check 2.4148 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:17:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 4 BUG subtract 1471 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:18:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-1471 = 1471-1471 left 1 OK left 12125 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:18:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 12125 = 1471-1471 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:18:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 5 ERROR answer-check 12125 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:19:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 6 OK subtract 7099 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-7099 = 1471-7099 right 1 OK right -5628 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-7099 = -5628 left 1 OK left 6497 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:20:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6497 = -5628 strategic 1 BUG divide -5628 You already solved the equation. 6497 can never be equal to -5628, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:20:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6497/-5628 = -5628/-5628 left 1 OK left 12125 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:20:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 12125 = -5628/-5628 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:21:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 7 OK subtract 7099 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:21:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-7099 = 1471-7099 left 2 OK left 64983 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:22:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 8 OK subtract 7099 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:22:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y-7099 = 1471-7099 left 3 OK left 6498 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:23:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6498 = 1471-7099 right 1 OK right -5628y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:23:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6498 = -5628y strategic 1 OK divide -5628 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:24:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6498/-5628 = -5628y/-5628 left 1 OK left -1.1545 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:24:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1.15458422 = -5628y/-5628 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:24:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 9 ERROR answer-check -1.1546 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:24:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7099+6497y = 1471 strategic 10 OK answer-check -0.8662 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:24:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -1.91 = -3.61+23.04y strategic 1 OK subtract -3.61 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:25:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -1.91-(-3.61) = -3.61+23.04y-(-3.61) left 1 OK left 1.7 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:25:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7 = -3.61+23.04y-(-3.61) right 1 OK right -22.04 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:25:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7 = -22.04 strategic 1 BUG divide -22.04 You already solved the equation. 1.7 can never be equal to -22.04, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:26:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -1.91 = -3.61+23.04y strategic 2 OK subtract -3.61 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:26:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -1.91-(-3.61) = -3.61+23.04y-(-3.61) left 2 OK left 1.7 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:27:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7 = -3.61+23.04y-(-3.61) right 2 OK right 24.04y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:27:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7 = 24.04y strategic 1 BUG divide 1.7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:27:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7 = 24.04y strategic 2 OK divide 24.04 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:28:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.7/24.04 = 24.04y/24.04 left 1 OK left 0.0707 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 0.07071547 = 24.04y/24.04 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:28:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -1.91 = -3.61+23.04y strategic 3 OK answer-check 0.0707 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:28:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y+8698 = 8055 strategic 1 OK subtract 8698 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:29:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y+8698-8698 = 8055-8698 left 1 OK left 8466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:29:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y+8698 = 8055 strategic 2 OK subtract 8698 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:29:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y+8698-8698 = 8055-8698 left 2 OK left 8466y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:30:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y = 8055-8698 right 1 OK right -643 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:30:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y = -643 strategic 1 OK divide 8466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:30:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y/8466 = -643/8466 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:31:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -643/8466 right 1 OK right -0.075950 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:31:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8466y+8698 = 8055 strategic 3 OK answer-check -0.0760 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 523/x+(-332) = 596 strategic 1 OK add 332 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:32:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 523/x = 928 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:32:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 523 = 928x strategic 1 OK divide 928 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:32:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 523/x+(-332) = 596 strategic 2 OK answer-check 523/928 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 21+(-15/x) = -25 strategic 1 BUG add 21 Since 21 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 21 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 42-15/x = -4 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 21+(-15/x) = -25 strategic 2 OK subtract 21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -15/x = -46 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -15 = -46x strategic 1 OK divide -46 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:33:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 21+(-15/x) = -25 strategic 3 OK answer-check 15/46 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 315 = -400/x+(-785) strategic 1 BUG subtract 315 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 315 = -400/x+(-785) strategic 2 OK subtract -785 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1100 = -400/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1100x = -400 strategic 1 OK divide 1100 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 315 = -400/x+(-785) strategic 3 OK answer-check -4/11 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 815 = -12/x+(-546) strategic 1 OK subtract -546 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:34:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1361 = -12/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:35:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1361x = -12 strategic 1 OK divide 1361 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:35:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 815 = -12/x+(-546) strategic 2 OK answer-check -12/1361 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:35:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 1 BUG add -581 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:36:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+(-581) = -581+(-581) left 1 OK left -1137 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:36:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 2 ERROR subtract -518 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:36:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)-(-518) = -581-(-518) left 1 OK left -1137y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:37:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1137y = -581-(-518) right 1 OK right -63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:37:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1137y = -63 strategic 1 OK divide -1137 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:37:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1137y/-1137 = -63/-1137 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:37:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -63/-1137 right 1 OK right 0.0554 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:37:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 3 ERROR answer-check 0.0554 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:38:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 4 BUG add -581 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+(-581) = -581+(-581) left 2 OK left -255y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -255y = -581+(-581) right 1 OK right -1162 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:39:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -255y = -1162 strategic 1 OK divide -255 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:39:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -255y/-255 = -1162/-255 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:39:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -1162/-255 right 1 OK right 4.55686 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:39:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 5 ERROR answer-check 4.5569 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:40:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 6 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:40:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 1 OK left 441y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:41:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -581+115 right 1 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:41:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -466 strategic 1 OK divide 441 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:41:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y/441 = -466/441 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:41:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -466/441 right 1 OK right -1.01133 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:41:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 7 ERROR answer-check -1.0113 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:42:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 8 ERROR answer-check 441/446 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:42:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -466 strategic 2 OK divide 441 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:42:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y/441 = -466/441 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:49:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -466/441 right 2 OK right -1.01133 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:49:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 9 ERROR answer-check -1.0133 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:49:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 10 ERROR add 155 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:50:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+155 = -581+155 left 1 OK left -401y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:50:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -401y = -581+155 right 1 OK right -426 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:50:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -401y = -426 strategic 1 OK divide -401 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:50:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -401y/-401 = -426/-401 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:51:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -426/-401 right 1 OK right 1.062344 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:51:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 11 ERROR answer-check 1.0623 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:51:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 12 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:51:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 2 OK left 401 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:52:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 13 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:52:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 3 OK left 441y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:52:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -581+115 right 2 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:52:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -466 strategic 3 OK divide 441 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y/441 = -466/441 left 3 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:53:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 14 ERROR add 155 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 15 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 4 OK left 441y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -581+115 right 3 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y = -466 strategic 4 OK divide 441 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441y/441 = -466/441 left 4 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -466/441 right 3 OK right 1.056689 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session0 2007-04-19 10:54:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 16 ERROR answer-check 1.0567 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:43:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 1 ERROR subtract 581 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:43:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)-581 = -581-581 left 1 OK left -1137y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:44:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1137y = -581-581 right 1 OK right 0 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:44:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 2 OK subtract -115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:44:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)-(-115) = -581-(-115) left 1 OK left -441/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:45:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -581-(-115) right 1 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:45:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -466 strategic 1 BUG divide 441 In this equation, y is multiplied by -441. Dividing by 441 leaves -y, so you still need to remove the negative sign. It is better to divide by -441, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:45:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (-441/y)/441 = -466/441 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:45:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -466/441 right 1 OK right -1.0566 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:46:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 3 ERROR answer-check -1.0567 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:46:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 4 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:47:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 1 OK left -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:47:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 5 OK add 115 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:48:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y)+115 = -581+115 left 2 OK left -441/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:48:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -581+115 right 1 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:48:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -466 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:49:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y*y = -466y left 1 OK left -441/446 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:49:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/446 = -466y right 1 OK right -446y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:50:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/446 = -446y strategic 1 OK divide -446 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:50:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -466 strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:50:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y*y = -466y left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:50:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -466y right 1 OK right -466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:51:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 6 ERROR answer-check -466 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:51:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y = -466 strategic 4 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:51:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/y*y = -466y left 3 OK left -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y right 1 OK right -466y/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y/-466 strategic 1 OK rf -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y/-466 strategic 2 OK rf -466y/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = y strategic 1 OK rf -466y/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = y strategic 2 OK rf -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441/466 = y strategic 1 BUG rf 441/466 = y strategic You already solved the equation. y is 441/466. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:52:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441/466 = y strategic 2 BUG rf 441/466 = y strategic You already solved the equation. y is 441/466. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:53:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y/-466 strategic 3 OK rf -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:53:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y/-466 strategic 4 BUG distribute -441/-466 = -466y/-466 strategic Simplify fractions on both sides of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:53:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -441/-466 = -466y/-466 strategic 5 OK rf -441/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:53:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 441/466 = -466y/-466 strategic 1 OK rf -466y/-466 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 7 ERROR answer-check 411/446 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:54:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -115+(-441/y) = -581 strategic 8 OK answer-check 441/466 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:54:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -84 = -63+(-74/x) strategic 1 OK add 63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:54:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -84+63 = -63+(-74/x)+63 right 1 OK right -74/x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:54:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -84+63 = -74/x left 1 OK left -21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:54:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -74/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:55:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -74/x*x left 1 OK left -21x/74 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:55:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x/74 = -74/x*x right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -84 = -63+(-74/x) strategic 2 ERROR answer-check 21/74 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -74/x strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:56:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -74/x*x left 2 OK left -21x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:56:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -74/x*x right 1 OK right -74x/21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:57:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -74/x strategic 3 ERROR multiply -74x/-21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:57:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -74/x strategic 4 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:57:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -74/x*x left 3 OK left -21/-74 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:58:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21/-74 = -74/x*x right 1 OK right -74x/21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 09:58:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21/-74 = -74x/21 strategic 1 OK rf -21/-74 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:00:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21/-74 = -74x/21 strategic 2 OK rf -21/-74 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:01:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -84 = -63+(-74/x) strategic 3 OK answer-check 74/21 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 1 BUG subtract 892 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 2 OK subtract 495 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:01:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y)-495 = 892-495 left 1 OK left 506/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:02:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506/y = 892-495 right 1 OK right 1.8020 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:02:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506/y = 1.802 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:02:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506/y*y = 1.802y left 1 OK left 506y/1.802 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:02:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506y/1.802 = 1.802y right 1 OK right 1.802/506 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:03:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 3 ERROR answer-check 1.802/506 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:03:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 4 ERROR answer-check 506/1.802 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:03:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506y/1.802 = 1.802/506 strategic 1 OK rf 506y/1.802 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:04:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506y/1.802 = 1.802/506 strategic 2 OK rf 1.802/506 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:04:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 506y/1.802 = 0.00356126 strategic 1 OK rf 1.802/506 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:04:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 5 ERROR answer-check 0.0036 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:04:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 495+(-506/y) = 892 strategic 6 OK answer-check -506/397 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:05:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 1 OK subtract -55 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:05:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55)-(-55) = -37-(-55) left 1 OK left 19/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:05:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y = -37-(-55) right 1 OK right 18 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:05:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y = 18 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y*y = 18y left 1 OK left 19y/18 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19y/18 = 18y right 1 OK right 18/19y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y = 18 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y*y = 18y left 2 OK left 19y/18 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19y/18 = 18y right 2 OK right 18/19 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:06:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19y/18 = 18/19 strategic 1 ERROR rf 19y/18 = 18/19 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:07:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 2 ERROR answer-check -18/19 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:07:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 3 OK add 55 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:07:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55)+55 = -37+55 left 1 OK left 19/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:07:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y = -37+55 right 1 OK right 18 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y = 18 strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y*y = 18y left 3 OK left 19y/18 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19y/18 = 18y right 3 OK right 18/19 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19y/18 = 18/19 strategic 2 ERROR rf 19y/18 = 18/19 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 4 ERROR answer-check -19/18 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 5 ERROR answer-check 18/19 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:08:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 19/y+(-55) = -37 strategic 6 OK answer-check 19/18 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:09:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 503 = 66/y+338 strategic 1 OK subtract 338 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:09:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 503-338 = 66/y+338-338 right 1 OK right 66/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 503-338 = 66/y left 1 OK left 165 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:09:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165 = 66/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:10:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165y = 66/y*y left 1 OK left 165/66 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:10:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165/66 = 66/y*y right 1 OK right 66y/165 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:10:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 503 = 66/y+338 strategic 2 ERROR answer-check 165/66 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 503 = 66/y+338 strategic 3 OK answer-check 66/165 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:10:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10+(-42/y) = -42 strategic 1 OK add 10 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:11:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10+(-42/y)+10 = -42+10 left 1 OK left -42/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:11:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -42/y = -42+10 right 1 OK right -32 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:11:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -42/y = -32 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:11:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -42/y*y = -32y left 1 OK left -42y/-32 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:11:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -42y/-32 = -32y right 1 OK right -32/-42 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10+(-42/y) = -42 strategic 2 ERROR answer-check -32/-42 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10+(-42/y) = -42 strategic 3 ERROR answer-check 32/42 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -10+(-42/y) = -42 strategic 4 OK answer-check 42/32 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 64+26/x = -5 strategic 1 OK subtract 64 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 64+26/x-64 = -5-64 left 1 OK left 26/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26/y = -5-64 right 1 OK right -69 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:12:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26/y = -69 strategic 1 BUG multiply y You already solved the equation. 26/y can never be equal to -69, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26/y*y = -69y left 1 OK left 26y/-69 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26y/-69 = -69y right 1 OK right -69/26 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 64+26/x = -5 strategic 2 OK answer-check 26/-69 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71 = 49 strategic 1 BUG add 71 Since 71 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 71 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71+71 = 49+71 left 1 OK left -9/y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:13:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y = 49+71 right 1 OK right 120 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:14:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y = 120 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:15:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y*y = 120y right 1 OK right 120/-9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:15:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71 = 49 strategic 2 ERROR answer-check -9/120 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:15:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71 = 49 strategic 3 ERROR answer-check 9/120 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71 = 49 strategic 4 ERROR answer-check -9/-120 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:16:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9/y+71 = 49 strategic 5 OK answer-check 9/22 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:16:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = -63/x+(-30) strategic 1 BUG add -30 To remove -30 from the right side, you can add a positive to it. Erase your last step and add 30 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:16:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45+(-30) = -63/x+(-30)+(-30) right 1 OK right -63/x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:16:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45+(-30) = -63/x left 1 OK left -75 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:17:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75 = -63/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:17:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75x = -63/x*x left 1 OK left -75x/63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75 = -63/x strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:17:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75x = -63/x*x left 2 OK left -75/-63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75/-63 = -63/x*x right 1 OK right -63x/75 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = -63/x+(-30) strategic 2 ERROR answer-check -63/75 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = -63/x+(-30) strategic 3 ERROR answer-check 63/75 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75/-63 = -63x/75 strategic 1 OK rf -63x/75 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row1-N-x strategic 1 OK x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row1-N-constant factors strategic 1 OK -63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row1-D-constant factors strategic 1 OK 1/[75] condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row1-D-x strategic 1 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 1 ERROR -63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 2 ERROR 75 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 3 ERROR 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:10.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 4 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 5 ERROR x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:20.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -63 and denominator 75? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:23.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 2 HINT_LEVEL_CHANGE 3 will go into both -63 and 75 and is the most appropriate common factor. HINT 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2constant factors strategic 6 OK 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row2x strategic 1 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-x strategic 1 OK x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 1 ERROR 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 2 ERROR 3. condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 3 ERROR 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:45.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 4 INITIAL_HINT 3 The common factor between the numerator and denominator of [-63]/[75] is 3. This set of entry boxes represent the simplified form of [-63]/[75]. HINT 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:48.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:49.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -63, by 3, the common factor. HINT 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:19:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 5 ERROR -63 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:04.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Type -21. HINT 4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-N-constant factors strategic 6 OK -21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-constant factors strategic 1 ERROR 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-constant factors strategic 2 ERROR -21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-constant factors strategic 3 ERROR 21 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:26.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 row3-D-constant factors strategic 4 INITIAL_HINT 21 The common factor between the numerator and denominator of [-63]/[75] is 3. This set of entry boxes represent the simplified form of [-63]/[75]. HINT 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:28.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 6 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:28.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 7 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 75, by 3, the common factor. HINT 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:29.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 8 HINT_LEVEL_CHANGE Type 25. HINT 4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-constant factors strategic 5 OK 25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-x strategic 1 ERROR x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 row3-D-x strategic 2 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 1 ERROR 25 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:20:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 2 ERROR 25/1 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 3 ERROR 25 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 4 ERROR 1 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:33.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 5 INITIAL_HINT 1 In the above expression you have -63x/75. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 6 ERROR x condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:39.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 9 HINT_LEVEL_CHANGE To simplify, divide 75 into -63x. HINT 2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:41.0 HINT HINT HW_CONDN3 HW_CONDN3-4 EG59 null strategic 10 HINT_LEVEL_CHANGE Type -21x/25. HINT 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:21:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 FinalAnswer strategic 7 OK -21x/25 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:22:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75/-63 = -63x/75 strategic 2 OK rf -63x/75 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:22:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = -63/x+(-30) strategic 4 ERROR answer-check -21/25 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:22:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = -63/x+(-30) strategic 5 OK answer-check 21/5 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:23:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 325+138/x = 300 strategic 1 OK subtract 325 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:23:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 325+138/x-325 = 300-325 left 1 OK left 138/x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:23:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138/x = 300-325 right 1 OK right -25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:23:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138/x = -25 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:23:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138/x*x = -25x left 1 OK left 138x/-25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:24:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138x/-25 = -25x right 1 OK right -25/138 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:24:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138x/-25 = -25/138 strategic 1 OK rf 138x/-25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:24:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 1 ERROR 0.03623 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:24:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 2 ERROR 0.03623/5 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:25:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 3 OK 27.6x/-5 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:26:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 4 BUG 27.6x/5 27.6x/5
Check the sign of your answer. BUG condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:26:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 5 OK -27.6x/5 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:26:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 6 OK 27.6x/-5 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:26:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138x/-25 = -25/138 strategic 2 OK rf 138x/-25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:27:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 138x/-25 = -25/138 strategic 3 OK rf 138x/-25 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:27:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 325+138/x = 300 strategic 2 OK answer-check -138/25 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:27:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 259 = -64+(-593/x) strategic 1 BUG add -64 To remove -64 from the right side, you can add a positive to it. Erase your last step and add 64 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:27:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 259+(-64) = -64+(-593/x)+(-64) right 1 OK right -593/x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:28:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 259+(-64) = -593/x left 1 OK left 323 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:28:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 323 = -593/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:28:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 323x = -593/x*x left 1 OK left 323/593 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:28:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 323/593 = -593/x*x right 1 OK right -593x/323 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:28:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 323/593 = -593x/323 strategic 1 ERROR rf 323/593 = -593x/323 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:29:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 259 = -64+(-593/x) strategic 2 OK answer-check -593/323 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:29:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x+38 = 43 strategic 1 OK subtract 38 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:29:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x+38-38 = 43-38 left 1 OK left -72/x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:29:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x = 43-38 right 1 OK right 5 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:29:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x = 5 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x*x = 5x left 1 OK left -72x/5 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72x/5 = 5x right 1 OK right 5/72 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -72/x+38 = 43 strategic 2 OK answer-check -72/5 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+(-1x) = 10+(-5x) strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -x = 19-5x strategic 1 ERROR add 5 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:30:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -x+5 = 24-5x strategic 1 ERROR clt -x+5 = 24-5x strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:31:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -x = 19-5x strategic 2 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -x = 19-5x strategic 3 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:31:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 4x = 19 strategic 1 OK divide 4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:32:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+(-1x) = 10+(-5x) strategic 2 OK answer-check 19/4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:32:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6+(-3y) = -6y+6 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:33:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -12-3y = -6y strategic 1 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -12 = -3y strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:33:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6+(-3y) = -6y+6 strategic 2 OK answer-check 4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:33:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 1 ERROR subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:34:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -17+9x = 10x-13 strategic 1 ERROR subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:34:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -26+9x = 10x-22 strategic 1 ERROR clt -26+9x = 10x-22 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:35:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 2 ERROR subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:35:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -17+9x = 10x-13 strategic 2 ERROR subtract x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:35:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -17+8x = 9x-13 strategic 1 ERROR clt -17+8x = 9x-13 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:36:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 3 ERROR add 9 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:36:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+9x = 10x+5 strategic 1 ERROR add x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:36:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+10x = 11x+5 strategic 1 ERROR clt 1+10x = 11x+5 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:36:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+9x = 10x+5 strategic 2 ERROR clt 1+9x = 10x+5 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:37:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+9x = 10x+5 strategic 3 ERROR subtract x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:37:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+8x = 9x+5 strategic 1 ERROR clt 1+8x = 9x+5 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:38:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 4 ERROR subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:38:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -18+9x = 10x-14 strategic 1 ERROR subtract x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:39:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -18+8x = 9x-14 strategic 1 ERROR clt -18+8x = 9x-14 strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:40:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 5 BUG add -4 To remove -4 from the right side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:40:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -12+9x = 10x-8 strategic 1 ERROR add x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:40:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 6 OK subtract -4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:41:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+9x = 10x strategic 1 ERROR add x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:41:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+10x = 11x strategic 1 ERROR clt -4+10x = 11x strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:41:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+10x = 11x strategic 2 ERROR clt -4+10x = 11x strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:41:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+10x = 11x strategic 3 ERROR clt -4+10x = 11x strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+10x = 11x strategic 4 ERROR clt -4+10x = 11x strategic condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:42:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+10x = 11x strategic 5 OK subtract 10x condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:43:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+9x = 10x+(-4) strategic 7 OK answer-check -4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:44:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y+10 = 8+7y strategic 1 OK subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:44:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = -2+7y strategic 1 OK subtract 7y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:45:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y = -2 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:45:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y+10 = 8+7y strategic 2 OK answer-check 1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:45:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 1 OK subtract -1y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:46:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 2 OK subtract -5 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:46:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5)-(-5) = -1y+8-(-5) left 1 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:47:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = -1y+8-(-5) right 1 OK right 12 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:47:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 12 strategic 1 OK divide -6 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:47:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-6 = 12/-6 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:47:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 12/-6 right 1 OK right -2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:47:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 3 ERROR answer-check -2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 4 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5)-8 = -1y+8-8 right 1 OK right -1y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5)-8 = -1y left 1 OK left -19 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -19 = -1y strategic 1 BUG divide -1y Dividing anything by itself will leave 1. If you divide -1y by -1, y will be left. Erase your last step and then divide by -1. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -19/(-1y) = -1y/(-1y) left 1 OK left -19 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -19 = -1y/(-1y) right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:48:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 5 ERROR answer-check -19 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:49:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 6 OK subtract -1y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:49:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5)-(-1y) = -1y+8-(-1y) right 1 OK right 8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 7 OK subtract -5 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5)-(-5) = -1y+8-(-5) left 2 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = -1y+8-(-5) right 2 OK right 13 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 13 strategic 1 OK divide -6 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-6 = 13/-6 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 13/-6 right 1 OK right -2.1666 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 8 ERROR answer-check -2.1667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:50:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-5) = -1y+8 strategic 9 OK answer-check -2.6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:51:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1) = 7+(-1y) strategic 1 BUG add -1 To remove -1 from the left side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:51:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1)+(-1) = 7+(-1y)+(-1) left 1 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1) = 7+(-1y) strategic 2 OK subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1) = 7+(-1y) strategic 3 BUG add -1 To remove -1 from the left side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1)+(-1) = 7+(-1y)+(-1) left 2 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:52:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 7+(-1y)+(-1) right 1 OK right -8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:52:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = -8 strategic 1 ERROR multiply y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:52:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y*y = -8y left 1 OK left -6y/-8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:52:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-8 = -8y right 1 OK right -8/-6 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-8 = -8/-6 strategic 1 OK rf -6y/-8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row1-N-y strategic 1 OK y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row1-N-constant factors strategic 1 OK -6 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row1-D-constant factors strategic 1 OK 1/[-8] condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row1-D-y strategic 1 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row2constant factors strategic 2 OK -2 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row2y strategic 1 ERROR y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row2y strategic 2 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-N-y strategic 1 OK y condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:53:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-N-constant factors strategic 1 ERROR 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-N-constant factors strategic 2 ERROR -4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-N-constant factors strategic 3 OK 3 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-D-constant factors strategic 1 OK 4 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 row3-D-y strategic 1 OK 1 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 ERROR 3/4 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 2 ERROR y=3/4 condition 3 simplify-fractions-sp cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:54:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-8 = -8/-6 strategic 2 OK rf -6y/-8 condition 3 cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1) = 7+(-1y) strategic 4 ERROR answer-check 3/4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 2JcB729 session1 2007-04-24 10:55:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-1) = 7+(-1y) strategic 5 ERROR answer-check 4/3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I 33w0X2b session0 2007-04-17 13:54:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session0 2007-04-17 13:56:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A 13.9y+(-13.37) = 8.72 strategic 1 OK answer-check 1.5892 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session0 2007-04-17 13:58:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 24 = -87+28x strategic 1 OK answer-check 111/28 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session0 2007-04-17 13:59:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -2.32x+8.97 = -11.4 strategic 1 ERROR answer-check -0.8659 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session1 2007-04-17 14:31:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -2.32x+8.97 = -11.4 strategic 2 OK answer-check -20.37/-2.32 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 13:51:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4537 = 80+1663y strategic 1 OK answer-check 2.6800962 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 13:55:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -84 = -32x+72 strategic 1 ERROR answer-check -2.6666 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 14:01:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -84 = -32x+72 strategic 2 OK answer-check 4.875 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 14:07:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 14.99y+(-6.48) = 1.46 strategic 1 ERROR answer-check 1.8790 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 14:08:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 14.99y+(-6.48) = 1.46 strategic 2 OK answer-check 0.52968645763842561707805203468979 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 14:16:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -3 = -18x+(-14) strategic 1 OK answer-check -0.61111111111111 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session2 2007-04-24 14:24:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 43.89y+(-14.07) = 87.84 strategic 1 OK answer-check 2.32194 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 13:53:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.13+(-0.02y) = -4.55 strategic 1 ERROR answer-check -129 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 13:55:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.13+(-0.02y) = -4.55 strategic 2 ERROR answer-check -11.63 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 13:58:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.13+(-0.02y) = -4.55 strategic 3 ERROR answer-check 581.5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 13:58:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.13+(-0.02y) = -4.55 strategic 4 OK answer-check 584 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:03:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6549 = 8591x+(-3936) strategic 1 OK answer-check 1.220463276 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:10:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -49.89 = -50.29x+(-1.79) strategic 1 ERROR answer-check 1.045530146 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:12:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -49.89 = -50.29x+(-1.79) strategic 2 OK answer-check .9564525751 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:15:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -49+45y = -84 strategic 1 ERROR answer-check -2.9555555556 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:15:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -49+45y = -84 strategic 2 ERROR answer-check -2.955555556 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:18:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -49+45y = -84 strategic 3 ERROR answer-check -.3383458647 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:18:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -49+45y = -84 strategic 4 OK answer-check -0.7778 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:20:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3170y+6030 = -6379 strategic 1 ERROR answer-check -9.083094556 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:23:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3170y+6030 = -6379 strategic 2 OK answer-check 3.914511041 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:25:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 5.56+(-8.43x) = 10.09 strategic 1 ERROR answer-check -1.860927152 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:27:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 5.56+(-8.43x) = 10.09 strategic 2 OK answer-check -0.537366548 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 33w0X2b session3 2007-04-26 14:29:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -651x+1115 = 3040 strategic 1 OK answer-check -2.956989247 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I 35jI12H session0 2007-05-03 08:30:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:31:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A -786+(-4416x) = -5737 strategic 1 OK answer-check 1.1211 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:31:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -58.87y+24.16 = 60.72 strategic 1 OK answer-check -0.621 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:31:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 1 ERROR answer-check 0.4121 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:37:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 2 ERROR answer-check .4121 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:37:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 3 ERROR answer-check -.4121 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:37:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 4 ERROR answer-check y condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:44:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 5 ERROR answer-check 1.8339 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:44:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.79 = -10.36y+(-13.21) strategic 6 OK answer-check -1.834 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:47:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8028y+(-2831) = 4193 strategic 1 ERROR answer-check -0.8001 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:47:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8028y+(-2831) = 4193 strategic 2 ERROR answer-check -0.80019 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:47:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8028y+(-2831) = 4193 strategic 3 ERROR answer-check -0.8001 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:47:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8028y+(-2831) = 4193 strategic 4 OK answer-check -0.8749 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:50:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.58 = 4.52x+(-12.02) strategic 1 OK answer-check 4.33628 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:51:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 1y+(-22) = 73 strategic 1 OK answer-check 95 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:53:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.66 = -8.37+(-5.73y) strategic 1 ERROR answer-check 349.563 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:53:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.66 = -8.37+(-5.73y) strategic 2 ERROR answer-check 349.5636 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:53:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.66 = -8.37+(-5.73y) strategic 3 ERROR answer-check 349.563 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:54:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.66 = -8.37+(-5.73y) strategic 4 ERROR answer-check 0.742 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:54:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.66 = -8.37+(-5.73y) strategic 5 OK answer-check 0.5742 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:57:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -55 = -51+(-7y) strategic 1 ERROR answer-check -15.1428 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:57:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -55 = -51+(-7y) strategic 2 ERROR answer-check -15.142 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:57:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -55 = -51+(-7y) strategic 3 ERROR answer-check -15.1428 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 08:57:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -55 = -51+(-7y) strategic 4 OK answer-check 0.5714 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:01:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 72.14 = -13.54x+(-62.58) strategic 1 ERROR answer-check 134.72 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:02:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 72.14 = -13.54x+(-62.58) strategic 2 OK answer-check -9.9497 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:05:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8341 = -5290y+1013 strategic 1 ERROR answer-check -1.7682 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:05:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8341 = -5290y+1013 strategic 2 ERROR answer-check -1.7682 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:06:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8341 = -5290y+1013 strategic 3 OK answer-check 1.7682 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:14:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.6x+3.64 = 9.37 strategic 1 ERROR answer-check -0.4580 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:14:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.6x+3.64 = 9.37 strategic 2 ERROR answer-check -0.458088 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:14:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.6x+3.64 = 9.37 strategic 3 ERROR answer-check -2.373 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:15:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.6x+3.64 = 9.37 strategic 4 OK answer-check -0.4213 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:15:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 86 = 28+77y strategic 1 ERROR answer-check 0.779 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:15:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 86 = 28+77y strategic 2 ERROR answer-check 1.283 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:15:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 86 = 28+77y strategic 3 ERROR answer-check 0.779 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:15:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 86 = 28+77y strategic 4 OK answer-check 0.7532 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:17:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 8 = -38y+55 strategic 1 ERROR answer-check -1.236 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:17:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 8 = -38y+55 strategic 2 ERROR answer-check -1.2368 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:29:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 8 = -38y+55 strategic 3 ERROR answer-check -1.236 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:29:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 8 = -38y+55 strategic 4 OK answer-check 1.2368 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:29:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -3.24+2.41y = 5.07 strategic 1 ERROR answer-check condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:29:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -3.24+2.41y = 5.07 strategic 2 ERROR answer-check 452 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:32:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -3.24+2.41y = 5.07 strategic 3 OK answer-check 3.448 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 35jI12H session0 2007-05-03 09:32:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -1.52+4.03y = -4.88 strategic 1 ERROR answer-check condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 3SsPY75 session0 2007-04-19 12:05:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:05:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:06:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B -4.15x+(-14.35) = 10.75 strategic 1 OK add 14.35 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:06:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B -4.15x = 25.1 strategic 1 OK divide -4.15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:06:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 3435 = 7470x+(-1075) strategic 1 OK add 1075 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:06:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 4510 = 7470x strategic 1 OK divide 7470 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:07:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 8875y+(-7973) = 1425 strategic 1 OK add 7973 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:07:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 8875y = 9398 strategic 1 OK divide 8875 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:08:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 64.98 = -61.82y+(-93.03) strategic 1 OK add 93.03 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:08:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 158.01 = -61.82y strategic 1 ERROR divide -64.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:08:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 158.01 = -61.82y strategic 2 OK divide -61.82 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:08:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -17 = 10y+60 strategic 1 OK subtract 60 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:08:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -77 = 10y strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:09:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -4.2 = 6.51+(-9.2y) strategic 1 OK subtract 6.51 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:09:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -10.71 = -9.2y strategic 1 OK divide -9.2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:09:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 6.64 = -3.12x+51.47 strategic 1 OK subtract 51.47 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:09:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 6.64-51.47 = -3.12x+51.47-51.47 right 1 ERROR right -3.21x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:09:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 6.64-51.47 = -3.12x+51.47-51.47 right 2 OK right -3.12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:10:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 6.64-51.47 = -3.12x left 1 OK left -44.83 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:10:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -44.83 = -3.12x strategic 1 ERROR divide -.12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -44.83 = -3.12x strategic 2 OK divide -3.12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -44.83/-3.12 = -3.12x/-3.12 left 1 OK left 14.3685 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 14.36858974 = -3.12x/-3.12 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -4 = 69+(-20x) strategic 1 OK subtract 69 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -4-69 = 69+(-20x)-69 left 1 OK left -73 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:11:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -73 = 69+(-20x)-69 right 1 OK right -20x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -73 = -20x strategic 1 OK divide -20 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -73/-20 = -20x/-20 left 1 OK left 3.65 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3.65 = -20x/-20 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 947 = -3425x+514 strategic 1 OK subtract 514 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 947-514 = -3425x+514-514 left 1 OK left 433 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:12:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 433 = -3425x+514-514 right 1 OK right -3425x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:13:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 433 = -3425x strategic 1 OK divide -3425 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:13:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 433/-3425 = -3425x/-3425 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:13:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 433/-3425 = x left 1 OK left -0.1264 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:13:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.5y+2.12 = -5.03 strategic 1 OK subtract 2.12 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:13:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.5y+2.12-2.12 = -5.03-2.12 left 1 OK left -3.5y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.5y = -5.03-2.12 right 1 OK right -7.15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:14:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.5y = -7.15 strategic 1 OK divide -3.5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:14:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.5y/-3.5 = -7.15/-3.5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:14:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A y = -7.15/-3.5 right 1 OK right 2.0428 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 6+(-921/x) = 31 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -921/x = 25 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -921 = 25x strategic 1 OK divide 25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 535/x+(-93) = -591 strategic 1 OK add 93 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 535/x = -498 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 535 = -498x strategic 1 OK divide -498 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -2/x+(-5) = 96 strategic 1 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:15:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -2/x = 101 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -2 = 101x strategic 1 OK divide 101 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 23 = -92/y+83 strategic 1 OK subtract 83 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -60 = -92/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -60y = -92 strategic 1 OK divide -60 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/y+80 = 34 strategic 1 OK subtract 80 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:16:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/y+80-80 = 34-80 left 1 OK left 49/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/y = 34-80 right 1 OK right -46 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/y = -46 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/y*y = -46y left 1 OK left 49 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49 = -46y right 1 OK right -46y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49 = -46y strategic 1 BUG divide 46 In this equation, y is multiplied by -46. Dividing by 46 leaves -y, so you still need to remove the negative sign. It is better to divide by -46, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49 = -46y strategic 2 OK divide -46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:17:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 49/-46 = -46y/-46 left 1 OK left -1.0652 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -1.06521739 = -46y/-46 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x+(-529) = -573 strategic 1 OK add 529 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x+(-529)+529 = -573+529 left 1 OK left (-702/x) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x = -573+529 right 1 OK right -44 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x = -44 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:18:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x*x = -44x right 1 OK right -44x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/x*x = -44x left 1 OK left -702 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702 = -44x strategic 1 OK divide -44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/-44 = -44x/-44 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -702/-44 = x left 1 OK left 15.9545 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -463+(-574/y) = 67 strategic 1 OK add 463 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:19:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -463+(-574/y)+463 = 67+463 left 1 OK left (-574/y) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/y = 67+463 right 1 OK right 530 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/y = 530 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/y*y = 530y right 1 OK right 530y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/y*y = 530y left 1 OK left -574 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574 = 530y strategic 1 OK divide 530 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:20:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/530 = 530y/530 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:21:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/530 = y left 1 BUG left 1.0830 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:21:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574/530 = y left 2 OK left -1.0830 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:21:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y+(-7) = -2+(-9y) strategic 1 OK add 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:21:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 5-9y strategic 1 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:21:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 5-9y strategic 2 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:22:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 1 OK add 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:23:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 13+9x = -5x strategic 1 ERROR clt 13+9x = -5x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:23:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 2 ERROR clt 8+9x = -5x+(-5) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:23:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 3 OK rds 8+9x = -5x+(-5) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:23:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x-5 strategic 1 OK add 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:26:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 4 ERROR distribute 8+9x = -5x+(-5) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:26:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 5 ERROR mt 8+9x = -5x+(-5) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:32:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9x = -5x+(-5) strategic 6 OK subtract 8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:32:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -5x-13 strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:32:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14x = -13 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+(-9x) = 7x+9 strategic 1 OK add 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:33:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9x = 7x+10 strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:33:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -16x = 10 strategic 1 OK divide -16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+8x = 4+10x strategic 1 OK add 6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:33:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8x = 10+10x strategic 1 OK subtract 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:34:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x = 10 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:34:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3+5x = 10+5x strategic 1 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:34:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = 13+5x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+6 = -1y+8 strategic 1 OK subtract 6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+6-6 = -1y+8-6 left 1 OK left 3y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -1y+8-6 right 1 OK right -1y+2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -1y+2 strategic 1 OK add 1y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+y = -1y+2+y left 1 OK left 4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = -1y+2+y right 1 OK right 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 2 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = 2/4 right 1 OK right .5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:35:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = 0.5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:36:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 0.5 strategic 1 BUG divide 1 You already solved the equation. y is 0.5. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:37:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = 0.5 strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:44:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+4x = 9+7x strategic 1 OK add 8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:44:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+4x+8 = 9+7x+8 left 1 OK left 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session0 2007-04-19 12:45:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 9+7x+8 right 1 BUG right 1+7x 1+7x is equal to 9+7x minus 8. You need to calculate 9+7x plus 8. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:01:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 9+7x+8 right 1 ERROR right 17 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:04:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 9+7x+8 right 2 ERROR right 16x+8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:12:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 9+7x+8 right 3 OK right 7x+17 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:12:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 7x+17 strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:13:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x-7x = 7x+17-7x left 1 OK left -3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:13:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 7x+17-7x right 1 OK right 17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:13:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 17 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:13:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x/-3 = 17/-3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:13:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 17/-3 right 1 OK right -5.6667 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3 = -5x+(-1) strategic 1 ERROR distribute 10x+3 = -5x+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:14:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3 = -5x+(-1) strategic 2 OK rds 10x+3 = -5x+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3 = -5x-1 strategic 1 OK add 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3+1 = -5x-1+1 right 1 OK right -5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3+1 = -5x left 1 OK left 10x+4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+4 = -5x strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+4+5x = -5x+5x left 1 OK left 15x+4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:15:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+4 = -5x+5x right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:16:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+4 = -5x+5x right 2 OK right 0x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:17:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+4 = 0x strategic 1 OK subtract 0 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:17:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+4-0x = 0x-0x right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:18:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3 = -5x-1 strategic 2 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:18:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+3+5x = -5x-1+5x left 1 OK left 15x+3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:18:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+3 = -5x-1+5x right 1 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+3 = -1 strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x+3-3 = -1-3 left 1 OK left 15x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x = -1-3 right 1 OK right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x = -4 strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15x/15 = -4/15 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:19:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/15 right 1 OK right -0.2667 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:20:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.69x+(-4.44) = -9.61x+(-0.88) strategic 1 OK add 4.44 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:20:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.69x = -9.61x+3.56 strategic 1 ERROR subtract 4.69 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:20:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.69x = -9.61x+3.56 strategic 2 OK add 9.61x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:20:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 14.3x = 3.56 strategic 1 OK divide 14.3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:20:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.35+5.21x = -5.13+(-9.08x) strategic 1 OK rds -1.35+5.21x = -5.13+(-9.08x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:21:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.35+5.21x = -5.13-9.08x strategic 1 OK add 5.13 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:21:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.78+5.21x = -9.08x strategic 1 ERROR add 9.08 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:21:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.78+5.21x = -9.08x strategic 2 OK add 9.08x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:21:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.78+14.29x = 0 strategic 1 OK subtract 3.78 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:21:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 14.29x = -3.78 strategic 1 OK divide 14.29 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:22:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.87+(-4.09y) = -1.32+7.77y strategic 1 OK rds -0.87+(-4.09y) = -1.32+7.77y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:22:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.87-4.09y = -1.32+7.77y strategic 1 ERROR subtract 7.79x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:22:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.87-4.09y = -1.32+7.77y strategic 2 OK subtract 7.77y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:22:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.87-11.86y = -1.32 strategic 1 ERROR add 1.32 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:22:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.87-11.86y = -1.32 strategic 2 OK add 0.87 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:23:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -11.86y = -0.45 strategic 1 OK divide -11.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:23:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.49+(-1.44y) = 1.41y+(-8.92) strategic 1 OK rds -3.49+(-1.44y) = 1.41y+(-8.92) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:23:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.49-1.44y = 1.41y-8.92 strategic 1 OK subtract 1.41y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:23:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.49-2.85y = -8.92 strategic 1 OK add 3.49 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:23:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.85y = -5.43 strategic 1 OK divide -2.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.24y+(-5.39) = -8.41y+9.62 strategic 1 OK rds -4.24y+(-5.39) = -8.41y+9.62 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.24y-5.39 = -8.41y+9.62 strategic 1 ERROR add 8.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.24y-5.39 = -8.41y+9.62 strategic 2 OK add 8.41y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.17y-5.39 = 9.62 strategic 1 OK add 5.39 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.17y = 15.01 strategic 1 OK divide 4.17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:24:43.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 y = 3.59952038 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:25:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.8+4.76x = 2.11x+7.18 strategic 1 ERROR subtract 2.11 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:25:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.8+4.76x = 2.11x+7.18 strategic 2 ERROR rds 1.8+4.76x = 2.11x+7.18 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:25:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.8+4.76x = 2.11x+7.18 strategic 3 OK subtract 2.11x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:25:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.8+2.65x = 7.18 strategic 1 OK subtract 1.8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:25:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.65x = 5.38 strategic 1 OK divide 2.65 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:26:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5+(-5.12x) = 6.36+(-2.84x) strategic 1 OK add 2.84x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5-2.28x = 6.36 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:26:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.28x = 1.36 strategic 1 ERROR divide -2.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:26:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.28x = 1.36 strategic 2 OK divide -2.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:27:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.58+(-4.72y) = -3.96y+(-6.22) strategic 1 OK add 3.96y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:27:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.58-0.76y = -6.22 strategic 1 OK subtract 3.58 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:27:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.76y = -9.8 strategic 1 OK divide -0.76 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:27:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.31y+(-3.5) = 0.93y+(-2.28) strategic 1 ERROR subtract -0.93y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.31y+(-3.5) = 0.93y+(-2.28) strategic 2 OK subtract 9.31y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:28:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.5 = -8.38y-2.28 strategic 1 OK add 2.28 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:28:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.22 = -8.38y strategic 1 OK divide -8.38 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:29:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.8x+7.02 = -4.48+(-5.27x) strategic 1 OK add 5.27x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:29:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.8x+7.02+5.27x = -4.48+(-5.27x)+5.27x right 1 OK right -4.48 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:30:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.8x+7.02+5.27x = -4.48 left 1 ERROR left -4.53x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:30:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.8x+7.02+5.27x = -4.48 left 2 ERROR left -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.8x+7.02+5.27x = -4.48 left 3 OK left -4.53x+7.02 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.53x+7.02 = -4.48 strategic 1 OK subtract 7.02 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.53x+7.02-7.02 = -4.48-7.02 left 1 OK left -4.53x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.53x = -4.48-7.02 right 1 OK right -11.5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.53x = -11.5 strategic 1 OK divide -4.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:31:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.53x/-4.53 = -11.5/-4.53 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -11.5/-4.53 right 1 ERROR right -6.97 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:32:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -11.5/-4.53 right 2 OK right 2.5386 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:34:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.03x+(-8.87) = 9.51x+7.37 strategic 1 OK add 4.03x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.03x+(-8.87)+4.03x = 9.51x+7.37+4.03x left 1 OK left -8.87 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:35:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.87 = 9.51x+7.37+4.03x right 1 OK right 13.54x+7.37 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.87 = 13.54x+7.37 strategic 1 OK subtract 7.37 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:35:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.87-7.37 = 13.54x+7.37-7.37 right 1 OK right 13.54x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:36:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.87-7.37 = 13.54x left 1 OK left -16.24 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:36:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -16.24 = 13.54x strategic 1 OK divide 13.54 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:36:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -16.24/13.54 = 13.54x/13.54 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:36:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -16.24/13.54 = x left 1 OK left -1.1994 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:37:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.15y+6.9 = 1.08+(-6.35y) strategic 1 OK subtract 4.15y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:37:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.15y+6.9-4.15y = 1.08+(-6.35y)-4.15y left 1 OK left 6.9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:37:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.9 = 1.08+(-6.35y)-4.15y right 1 ERROR right -10.5y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:37:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.9 = 1.08+(-6.35y)-4.15y right 2 OK right -10.5y+1.08 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:37:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.9 = -10.5y+1.08 strategic 1 OK subtract 1.08 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:38:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.9-1.08 = -10.5y+1.08-1.08 right 1 OK right -10.5y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.9-1.08 = -10.5y left 1 OK left 5.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:38:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5.82 = -10.5y strategic 1 OK divide -10.5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:38:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5.82/-10.5 = -10.5y/-10.5 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3SsPY75 session1 2007-04-24 12:38:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5.82/-10.5 = y left 1 OK left -0.5542 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 3cjD21W session23 2007-03-23 13:17:20.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:17:29.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:17:42.0 CYCLE CYCLE ES_05 ES_05-1 EG43 14+(-41y) = -76 strategic 1 OK subtract 14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:17:57.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -41y = -90 strategic 1 OK divide -41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:18:13.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -11.95 = -9.45x+(-12.82) strategic 1 OK add 12.82 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:18:21.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.87 = -9.45x strategic 1 OK divide -9.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42 70.32+(-2.78y) = 0.31 strategic 1 OK subtract 70.32 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42 70.32+(-2.78y)-70.32 = 0.31-70.32 left 1 OK left -2.78y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -2.78y = 0.31-70.32 right 1 OK right 0.31-70.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -2.78y = 0.31-70.32 strategic 1 BUG divide -2.87 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -2.78y = 0.31-70.32 strategic 2 OK divide -2.78 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:19:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -2.78y/-2.78 = (0.31-70.32)/-2.78 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42 y = (0.31-70.32)/-2.78 right 1 OK right (0.31-70.32)/-2.78 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42 y = (0.31-70.32)/-2.78 strategic 1 OK clt 0.31-70.32 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 1 OK -70.01 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:42.0 HINT HINT ES_05 ES_05-2 EG42 y = -70.01/-2.78 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:44.0 HINT HINT ES_05 ES_05-2 EG42 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:20:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42 y = -70.01/-2.78 strategic 2 OK rf -70.01/-2.78 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:21:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 2 OK 25.18345 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:21:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -30+(-28x) = -37 strategic 1 OK add 30 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:21:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -30+(-28x)+30 = -37+30 left 1 OK left -28x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -28x = -37+30 right 1 OK right -37+30 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -28x = -37+30 strategic 1 OK divide -28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -28x/-28 = (-37+30)/-28 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:36.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = (-37+30)/-28 right 1 OK right (-37+30)/-28 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:39.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = (-37+30)/-28 strategic 1 OK clt -37+30 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:49.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK -7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:22:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = -7/-28 strategic 1 OK rf -7/-28 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:23:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 2 OK 1/4 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:23:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -9421+(-5836y) = -7678 strategic 1 OK add 9421 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:23:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -9421+(-5836y)+9421 = -7678+9421 left 1 OK left -5836y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:24:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5836y = -7678+9421 right 1 OK right -7678+9421 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:24:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5836y = -7678+9421 strategic 1 OK divide -5836 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:24:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5836y/-5836 = (-7678+9421)/-5836 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:25:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = (-7678+9421)/-5836 right 1 OK right (-7678+9421)/-5836 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:25:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = (-7678+9421)/-5836 strategic 1 OK clt -7678+9421 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:25:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 OK 1743 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:25:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = 1743/-5836 strategic 1 OK rf 1743/-5836 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:26:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 2 OK -1743/5836 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:26:59.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y+563 = 378 strategic 1 OK subtract 563 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:27:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y = -185 strategic 1 BUG multiply -595 To remove -595/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -595/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:27:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y = -185 strategic 2 ERROR multiply 595 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:27:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y+563 = 378 strategic 2 ERROR multiply 595 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y+563 = 378 strategic 3 OK subtract 563 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y = -185 strategic 3 ERROR multiply 595 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:18.0 HINT HINT ES_05 ES_05-3 EG59A -595/y = -185 strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:21.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -595/y is -595 divided by y. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:25.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595/y = -185 strategic 5 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session23 2007-03-23 13:29:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -595 = -185y strategic 1 OK divide -185 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:10:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59 72 = 51+(-22/y) strategic 1 BUG multiply -22 To remove -22/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -22/y. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:02.0 CYCLE CYCLE ES_05 ES_05-3 EG59 72 = 51+(-22/y) strategic 2 OK subtract 51 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:11.0 CYCLE CYCLE ES_05 ES_05-3 EG59 21 = -22/y strategic 1 ERROR multiply -22/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:18.0 HINT HINT ES_05 ES_05-3 EG59 21 = -22/y strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:21.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -22/y is -22 divided by y. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:25.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 21 = -22/y strategic 3 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59 21y = -22 strategic 1 OK divide 21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:49.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 611+(-981/x) = -332 strategic 1 OK subtract 611 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:11:59.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -981/x = -943 strategic 1 ERROR multiply -981/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:03.0 HINT HINT ES_05 ES_05-3 EG59A 962361*(1/x)^2 = 925083/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:08.0 HINT HINT ES_05 ES_05-3 EG59A -981/x = -943 strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:10.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -981/x is -981 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:17.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -981/x = -943 strategic 3 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:23.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -981/x = -943 strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:31.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -981 = -943x strategic 1 OK divide -943 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59 90 = 97/y+20 strategic 1 OK subtract 20 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:44.0 CYCLE CYCLE ES_05 ES_05-3 EG59 70 = 97/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:12:48.0 CYCLE CYCLE ES_05 ES_05-3 EG59 70y = 97 strategic 1 OK divide 70 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 157 = -845+(-664/x) strategic 1 OK add 845 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1002 = -664/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1002x = -664 strategic 1 OK divide 1002 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:23.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -344/x+(-519) = -711 strategic 1 OK add 519 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -344/x = -192 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -344 = -192x strategic 1 OK divide -192 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -594 = 215+361/x strategic 1 OK subtract 215 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:13:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -594-215 = 215+361/x-215 left 1 OK left -594-215 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:14:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -594-215 = 215+361/x-215 right 1 OK right 361/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:14:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -594-215 = 361/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:14:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-594-215)*x = 361/x*x left 1 ERROR left -594-215*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:15:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-594-215)*x = 361/x*x left 2 OK left (-594-215)*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:15:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-594-215)*x = 361/x*x right 1 OK right 361 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:15:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-594-215)*x = 361 strategic 1 OK clt -594-215 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:15:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 ERROR *809 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:15:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -809 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -809x = 361 strategic 1 OK divide -809 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -809x/-809 = 361/-809 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 361/-809 right 1 OK right 361/-809 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:20.0 HINT HINT ES_05 ES_05-4 EG59A x = 361/-809 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:23.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:27.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 361/-809 strategic 2 OK rf 361/-809 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 3 OK -361/809 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:16:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -59 = 98+(-77/x) strategic 1 OK subtract 98 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -59-98 = 98+(-77/x)-98 left 1 OK left -59-98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -59-98 = 98+(-77/x)-98 right 1 OK right -77/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -59-98 = -77/x strategic 1 OK clt -59-98 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -157 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -157 = -77/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -157x = -77/x*x left 1 OK left -157x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -157x = -77/x*x right 1 OK right -77 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -157x = -77 strategic 1 OK divide -157 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:17:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -157x/-157 = -77/-157 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -77/-157 right 1 OK right 0.49044 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15 = 92/y+62 strategic 1 OK subtract 62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15-62 = 92/y+62-62 left 1 OK left 15-62 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15-62 = 92/y+62-62 right 1 OK right 92/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15-62 = 92/y strategic 1 OK clt 15-62 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -47 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -47 = 92/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:18:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -47y = 92/y*y left 1 OK left -47y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -47y = 92/y*y right 1 OK right 92 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -47y = 92 strategic 1 OK divide -47 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -47y/-47 = 92/-47 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 92/-47 right 1 OK right -1.957 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822+951/y = 531 strategic 1 OK subtract 822 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822+951/y-822 = 531-822 left 1 OK left 951/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/y = 531-822 right 1 OK right 531-822 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/y = 531-822 strategic 1 OK clt 531-822 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:19:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK -291 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/y = -291 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/y*y = -291y left 1 OK left 951 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951 = -291y right 1 ERROR right -921y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951 = -291y right 2 OK right -291y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951 = -291y strategic 1 OK divide -291 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/-291 = -291y/-291 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:20:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 951/-291 = y left 1 OK left -3.268 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+(-3) = -7+1y strategic 1 OK subtract 1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y-3 = -7 strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y = -4 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10+3y = 3y+(-2) strategic 1 ERROR subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:37.0 HINT HINT ES_05 ES_05-5 EG60 10+3y = 3y+(-2) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:39.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10+3y = 3y+(-2) strategic 3 OK rds 10+3y = 3y+(-2) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10+3y = 3y+(-2) strategic 4 ERROR rf 10+3y = 3y+(-2) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10+3y = 3y+(-2) strategic 5 OK rds 10+3y = 3y+(-2) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:57.0 HINT HINT ES_05 ES_05-5 EG60 10+3y = 3y-2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:21:58.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:02.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 3y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10+3y = 3y-2 strategic 2 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y+(-9) = 9y+(-3) strategic 1 ERROR rf -8y+(-9) = 9y+(-3) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y+(-9) = 9y+(-3) strategic 2 OK rds -8y+(-9) = 9y+(-3) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y-9 = 9y-3 strategic 1 ERROR add 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y-9 = 9y-3 strategic 2 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9 = 17y-3 strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = 17y strategic 1 OK divide 17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:22:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+(-5y) = 4y+2 strategic 1 OK rds 0+(-5y) = 4y+2 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-5y = 4y+2 strategic 1 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-5y = 4y+2 strategic 2 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 9y+2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+0 = 1+(-3x) strategic 1 ERROR rf 3x+0 = 1+(-3x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+0 = 1+(-3x) strategic 2 OK rds 3x+0 = 1+(-3x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+0 = 1-3x strategic 1 OK add 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:23:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = 1 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x+2 = 5+9x strategic 1 ERROR rf 4x+2 = 5+9x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x+2 = 5+9x strategic 2 ERROR rds 4x+2 = 5+9x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x+2 = 5+9x strategic 3 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x = 3+9x strategic 1 OK subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 3+5x strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3 = 5x strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5y+2 = 7+5y strategic 1 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y+2 = 7 strategic 1 ERROR subtract 23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:24:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y+2 = 7 strategic 2 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y = 5 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+1x = 5+2x strategic 1 OK subtract 9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x = -4+2x strategic 1 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:43.0 HINT HINT ES_05 ES_05-5 EG60 -x = -4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:44.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:48.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:25:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = -4 strategic 2 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x+(-6) = -4x+(-8) strategic 1 OK rds 7x+(-6) = -4x+(-8) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-6 = -4x-8 strategic 1 OK add 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-6+6 = -4x-8+6 left 1 OK left 7x condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -4x-8+6 right 1 OK right -4x-8+6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -4x-8+6 strategic 1 BUG add -4x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:36.0 HINT HINT ES_05 ES_05-6 EG60 7x = -4x-8+6 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -4x-8+6 strategic 3 OK clt -4x-8+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:26:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8+6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -4x+-2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -4x-2 strategic 1 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:31.0 HINT HINT ES_05 ES_05-6 EG60 7x = -4x-2 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 4x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -4x-2 strategic 3 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x+4x = -4x-2+4x left 1 OK left 11x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x = -4x-2+4x right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:27:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x = -2 strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x/11 = -2/11 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/11 right 1 OK right -2/11 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/11 strategic 1 BUG rf x = -2/11 strategic You already solved the equation. x is -2/11. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:31.0 HINT HINT ES_05 ES_05-6 EG60 x = -2/11 strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-2) = 0+8y strategic 1 OK add 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:28:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-2)+2 = 0+8y+2 left 1 OK left 4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = 0+8y+2 right 1 OK right 0+8y+2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = 0+8y+2 strategic 1 OK unnec-elems 4y=0+8y+2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-2) = 0+8y strategic 2 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-2)-4y = 0+8y-4y left 1 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 0+8y-4y right 1 OK right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 4y strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = 4y/4 left 1 OK left -2/4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:29:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = 4y/4 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:30:01.0 HINT HINT ES_05 ES_05-6 EG60 -2/4 = y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:30:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session24 2007-03-26 13:30:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = y strategic 2 OK rf -2/4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:42:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-2) = 0+8y strategic 1 OK rds 4y+(-2) = 0+8y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2 = 0+8y strategic 1 OK subtract 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2-0 = 0+8y-0 left 1 ERROR left 4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2-0 = 0+8y-0 left 2 OK left 4y-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2 = 0+8y-0 right 1 ERROR right by condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2 = 0+8y-0 right 2 OK right 8y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2 = 8y strategic 1 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-2-4y = 8y-4y left 1 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 8y-4y right 1 OK right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:43:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 4y strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = 4y/4 left 1 OK left -2/4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = 4y/4 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:13.0 HINT HINT ES_05 ES_05-6 EG60 -2/4 = y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/4 = y strategic 2 OK rf -2/4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 1 OK 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-N-constant factors strategic 1 BUG 1 1
Check the sign of your answer. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-N-constant factors strategic 2 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-D-constant factors strategic 1 OK 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -1/2 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:43.0 HINT HINT ES_05 ES_05-6 EG60 -1/2 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:44:46.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2y = -10y+1 strategic 1 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2y-1 = -10y+1-1 left 1 OK left -6+2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+2y = -10y+1-1 right 1 OK right -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+2y = -10y strategic 1 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+2y-2y = -10y-2y left 1 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -10y-2y right 1 OK right -12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:45:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -12y strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6/-12 = -12y/-12 left 1 OK left -6/-12 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6/-12 = -12y/-12 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6/-12 = y strategic 1 OK rf -6/-12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 1 ERROR 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 2 ERROR 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 3 ERROR -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:19.0 HINT HINT ES_05 ES_05-6 EG60 row2constant factors strategic 4 INITIAL_HINT -5 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 5 ERROR -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -6 and denominator -12? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:46:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE -6 will go into both -6 and -12 and is the most appropriate common factor. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:47:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 1/2 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:47:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.05x+5.02 = 1.51x+0.63 strategic 1 OK subtract 0.63 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:48:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.05x+5.02 = 1.51x+0.63 strategic 2 OK subtract 1.51x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:48:38.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.54x+5.02 = 0.63 strategic 1 OK subtract 5.02 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:48:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.54x = -4.39 strategic 1 OK divide 4.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:49:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.54+7.05x = -2.69x+4.88 strategic 1 OK add 8.54 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:49:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.05x = -2.69x+13.42 strategic 1 OK add 2.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:49:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.74x = 13.42 strategic 1 OK divide 9.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:49:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.6y+(-3.14) = 2.29+(-0.01y) strategic 1 OK rds 0.6y+(-3.14) = 2.29+(-0.01y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:49:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.6y+(-3.14) = 2.29+(-0.01y) strategic 2 OK rds 0.6y+(-3.14) = 2.29+(-0.01y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:50:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.6y-3.14 = 2.29-0.01y strategic 1 OK subtract 2.29 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:50:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.6y-5.43 = -0.01y strategic 1 ERROR add 0.6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:50:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.6y-5.43 = -0.01y strategic 2 OK subtract 0.6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:50:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.43 = -0.61y strategic 1 OK divide -0.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.19+4.18y = 8.75+(-7.73y) strategic 1 OK rds 7.19+4.18y = 8.75+(-7.73y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.19+4.18y = 8.75-7.73y strategic 1 OK subtract 7.19 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.18y = 1.56-7.73y strategic 1 OK add 7.73y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.91y = 1.56 strategic 1 OK divide 11.91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.02x+(-6.74) = 0.95+7.95x strategic 1 ERROR rf -2.02x+(-6.74) = 0.95+7.95x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:51:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.02x+(-6.74) = 0.95+7.95x strategic 2 OK rds -2.02x+(-6.74) = 0.95+7.95x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.02x-6.74 = 0.95+7.95x strategic 1 OK add 2.02x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.74 = 0.95+9.97x strategic 1 OK subtract 0.95 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.69 = 9.97x strategic 1 OK divide 9.97 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.86y+3.09 = -9.86+(-4.3y) strategic 1 OK rds -9.86y+3.09 = -9.86+(-4.3y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.86y+3.09 = -9.86-4.3y strategic 1 OK add 9.86y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:52:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.86y+3.09+9.86y = -9.86-4.3y+9.86y left 1 OK left 3.09 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:53:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y right 1 BUG right -9.86-14.16y -9.86-14.16y is equal to -9.86-4.3y minus 9.86y. You need to calculate -9.86-4.3y plus 9.86y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:54:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y right 2 ERROR right -9.86-4.3+9.86y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:54:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y right 3 BUG right -9.86-14.16y -9.86-14.16y is equal to -9.86-4.3y minus 9.86y. You need to calculate -9.86-4.3y plus 9.86y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:54:39.0 HINT HINT ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:54:40.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -9.86-4.3y+9.86y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:54:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y right 4 OK right -9.86-4.3y+9.86y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = -9.86-4.3y+9.86y strategic 2 OK clt -9.86-4.3y+9.86y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -9.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK -4.3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 OK +9.86y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 ERROR -33.14 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 ERROR -33.14y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:55:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 3 OK 5.56y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -9.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 5.56y+(-9.86) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09 = 5.56y-9.86 strategic 1 OK add 9.86 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.09+9.86 = 5.56y-9.86+9.86 left 1 OK left 12.95 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.95 = 5.56y-9.86+9.86 right 1 OK right 5.56y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:56:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.95 = 5.56y strategic 1 OK divide 5.56 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:57:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.95/5.56 = 5.56y/5.56 left 1 OK left 2.329 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:57:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.32913669 = 5.56y/5.56 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:57:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.58x+4.47 = -0.31x+8.63 strategic 1 OK subtract 4.47 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:57:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.58x+4.47-4.47 = -0.31x+8.63-4.47 left 1 OK left -9.58x condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:57:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.58x = -0.31x+8.63-4.47 right 1 OK right -0.31x+4.16 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.58x = -0.31x+4.16 strategic 1 OK add 0.31x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.58x+0.31x = -0.31x+4.16+0.31x left 1 OK left -9.27x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27x = -0.31x+4.16+0.31x right 1 OK right 4.16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27x = 4.16 strategic 1 OK divide -9.27 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27x/-9.27 = 4.16/-9.27 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:58:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 4.16/-9.27 right 1 OK right -0.448 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:59:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41+(-8.69y) = 9.62+1.83y strategic 1 OK rds 8.41+(-8.69y) = 9.62+1.83y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:59:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41-8.69y = 9.62+1.83y strategic 1 OK add 8.69y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:59:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41-8.69y+8.69y = 9.62+1.83y+8.69y left 1 OK left 8.41 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:59:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41 = 9.62+1.83y+8.69y right 1 OK right 9.62+10.52y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 12:59:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41 = 9.62+10.52y strategic 1 OK subtract 9.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:00:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.41-9.62 = 9.62+10.52y-9.62 left 1 OK left -1.21 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:00:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21 = 9.62+10.52y-9.62 right 1 OK right 10.52y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:00:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21 = 10.52y strategic 1 OK divide 10.52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:00:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21/10.52 = 10.52y/10.52 left 1 ERROR left -11.73 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:01:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21/10.52 = 10.52y/10.52 left 2 OK left -0.115 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:01:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.11501901 = 10.52y/10.52 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:01:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.4+9.21y = 7.48y+(-4.1) strategic 1 OK rds -4.4+9.21y = 7.48y+(-4.1) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:01:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.4+9.21y = 7.48y-4.1 strategic 1 ERROR subtract 7.84y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.4+9.21y = 7.48y-4.1 strategic 2 OK add 4.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.4+9.21y+4.4 = 7.48y-4.1+4.4 left 1 OK left 9.21y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.21y = 7.48y-4.1+4.4 right 1 BUG right 7.48y-8.5 7.48y-8.5 is equal to 7.48y-4.1 minus 4.4. You need to calculate 7.48y-4.1 plus 4.4. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.21y = 7.48y-4.1+4.4 right 2 OK right 7.48y-4.1+4.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.21y = 7.48y-4.1+4.4 strategic 1 OK clt 7.48y-4.1+4.4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:02:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 7.48y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -4.1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +4.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 7.48y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 0.3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 7.48y+0.3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.21y = 7.48y+0.3 strategic 1 OK subtract 7.48y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.21y-7.48y = 7.48y+0.3-7.48y left 1 OK left 1.73y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:03:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.73y = 7.48y+0.3-7.48y right 1 OK right 0.3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.73y = 0.3 strategic 1 OK divide 1.73 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.73y/1.73 = 0.3/1.73 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 0.3/1.73 right 1 OK right 0.1734 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y+(-7.65) = -3.46y+9.27 strategic 1 OK rds 0.48y+(-7.65) = -3.46y+9.27 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y-7.65 = -3.46y+9.27 strategic 1 OK add 7.65 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:04:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y-7.65+7.65 = -3.46y+9.27+7.65 left 1 OK left 0.48y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y = -3.46y+9.27+7.65 right 1 OK right -3.46y+16.92 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y = -3.46y+16.92 strategic 1 OK add 3.46y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.48y+3.46y = -3.46y+16.92+3.46y left 1 OK left 3.94y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94y = -3.46y+16.92+3.46y right 1 OK right 16.92 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94y = 16.92 strategic 1 OK divide 3.94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:05:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94y/3.94 = 16.92/3.94 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:06:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 16.92/3.94 right 1 OK right 4.2944 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:06:20.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -64.31+(-5.41y) = -64.75+11.86y strategic 1 OK rds -64.31+(-5.41y) = -64.75+11.86y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:06:44.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -64.31-5.41y = -64.75+11.86y strategic 1 ERROR add -64 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:06:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -64.31-5.41y = -64.75+11.86y strategic 2 OK add 64.75 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:07:02.0 CYCLE CYCLE ES_05 ES_05-9 EG62 0.44-5.41y = 11.86y strategic 1 OK add 5.41y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:07:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62 0.44 = 17.27y strategic 1 OK divide 17.27 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:07:16.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 724.03y+(-1240.82) = 109.66y+9313.8 strategic 1 OK rds 724.03y+(-1240.82) = 109.66y+9313.8 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:07:49.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 724.03y-1240.82 = 109.66y+9313.8 strategic 1 OK add 1240.82 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:08:10.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 724.03y = 109.66y+10554.62 strategic 1 OK subtract 109.66y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:08:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 614.37y = 10554.62 strategic 1 OK divide 614.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:08:37.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -305.22y+(-2862.93) = -429.57y+(-1681.62) strategic 1 OK rds -305.22y+(-2862.93) = -429.57y+(-1681.62) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:09:35.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -305.22y-2862.93 = -429.57y-1681.62 strategic 1 OK add 2862.93 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:09:44.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -305.22y = -429.57y+1181.31 strategic 1 OK add 429.57y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:09:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 124.35y = 1181.31 strategic 1 OK divide 124.35 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:09:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 9641.89+(-285.83y) = -1535+833.7y strategic 1 OK rds 9641.89+(-285.83y) = -1535+833.7y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:10:21.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 9641.89-285.83y = -1535+833.7y strategic 1 OK add 1535 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:10:29.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 11176.89-285.83y = 833.7y strategic 1 OK add 285.83y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:10:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 11176.89 = 1119.53y strategic 1 OK divide 1119.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:11:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+7424.11 = -1966.91+21.23x strategic 1 ERROR add 1966391 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:11:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+7424.11 = -1966.91+21.23x strategic 2 OK add 1966.91 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:11:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+7424.11+1966.91 = -1966.91+21.23x+1966.91 left 1 OK left -708.72x+9391.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+9391.02 = -1966.91+21.23x+1966.91 right 1 OK right 21.23x condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+9391.02 = 21.23x strategic 1 OK add 708.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -708.72x+9391.02+708.72x = 21.23x+708.72x left 1 OK left 9391.02 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9391.02 = 21.23x+708.72x right 1 OK right 729.95x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9391.02 = 729.95x strategic 1 OK divide 729.95 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:12:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9391.02/729.95 = 729.95x/729.95 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:13:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9391.02/729.95 = x left 1 OK left 12.865 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:13:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -63.88+(-45.41y) = 65.36y+(-83.64) strategic 1 OK rds -63.88+(-45.41y) = 65.36y+(-83.64) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:14:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -63.88-45.41y = 65.36y-83.64 strategic 1 OK add 83.64 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:14:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -63.88-45.41y+83.64 = 65.36y-83.64+83.64 left 1 OK left 19.76-45.41y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:14:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76-45.41y = 65.36y-83.64+83.64 right 1 OK right 65.36y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76-45.41y = 65.36y strategic 1 OK add 45.41y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76-45.41y+45.41y = 65.36y+45.41y left 1 OK left 19.76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76 = 65.36y+45.41y right 1 OK right 110.77y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76 = 110.77y strategic 1 OK divide 110.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76/110.77 = 110.77y/110.77 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:15:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76/110.77 = y left 1 ERROR left 1.8347 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:16:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.76/110.77 = y left 2 OK left 0.1783 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:16:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y+(-27.99) = 46.62y+(-40.84) strategic 1 OK rds -39.19y+(-27.99) = 46.62y+(-40.84) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:16:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y-27.99 = 46.62y-40.84 strategic 1 OK add 40.84 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:17:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y-27.99+40.84 = 46.62y-40.84+40.84 left 1 ERROR left -39.19y-12.85 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:17:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y-27.99+40.84 = 46.62y-40.84+40.84 left 2 BUG left -39.19y-68.83 -39.19y-68.83 is equal to -39.19y-27.99 minus 40.84. You need to calculate -39.19y-27.99 plus 40.84. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:18:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y-27.99+40.84 = 46.62y-40.84+40.84 left 3 ERROR left -39.19y-12.85 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:18:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y-27.99+40.84 = 46.62y-40.84+40.84 left 4 OK left -39.19y+12.85 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:18:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y+12.85 = 46.62y-40.84+40.84 right 1 OK right 46.62y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:19:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y+12.85 = 46.62y strategic 1 OK add 39.19y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:19:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -39.19y+12.85+39.19y = 46.62y+39.19y left 1 OK left 12.85 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:19:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 12.85 = 46.62y+39.19y right 1 OK right 85.81y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:19:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 12.85 = 85.81y strategic 1 OK divide 85.81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:20:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 12.85/85.81 = 85.81y/85.81 left 1 OK left 0.1497 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session25 2007-03-28 13:20:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 0.14974945 = 85.81y/85.81 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:28:36.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:28:46.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:29:08.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:29:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43 66 = -44+1x strategic 1 OK add 44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:29:47.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 8.11x+(-12.89) = -1.11 strategic 1 ERROR rf 8.11x+(-12.89) = -1.11 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:29:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 8.11x+(-12.89) = -1.11 strategic 2 OK rds 8.11x+(-12.89) = -1.11 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:01.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 8.11x-12.89 = -1.11 strategic 1 OK add 12.89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:06.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 8.11x = 11.78 strategic 1 OK divide 8.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:20.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -1.45 = -9.85+8.86x strategic 1 OK add 9.85 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:31.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 8.4 = 8.86x strategic 1 OK divide 8.86 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5921 = -5276+(-3249y) strategic 1 OK rds -5921 = -5276+(-3249y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:30:59.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5921 = -5276-3249y strategic 1 OK add 5276 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:31:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5921+5276 = -5276-3249y+5276 left 1 OK left -5921+5276 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:31:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5921+5276 = -5276-3249y+5276 right 1 OK right -3249y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:31:29.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5921+5276 = -3249y strategic 1 OK clt -5921+5276 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:31:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 OK -645 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -645 = -3249y strategic 1 OK divide -3249 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -645/-3249 = -3249y/-3249 left 1 OK left 0.19852 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 0.19852262 = -3249y/-3249 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x+(-7.5) = -2.81 strategic 1 OK rds -10.15x+(-7.5) = -2.81 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x-7.5 = -2.81 strategic 1 OK add 7.5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:32:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x-7.5+7.5 = -2.81+7.5 left 1 OK left -10.15x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:33:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x = -2.81+7.5 right 1 OK right 4.69 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:33:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x = 4.69 strategic 1 OK divide -10.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:33:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -10.15x/-10.15 = 4.69/-10.15 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:33:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x = 4.69/-10.15 right 1 OK right -0.46206 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:33:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -6.03 = -11.35+7.99x strategic 1 OK add 11.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -6.03+11.35 = -11.35+7.99x+11.35 left 1 OK left 5.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.32 = -11.35+7.99x+11.35 right 1 OK right 7.99x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.32 = 7.99x strategic 1 OK divide 7.99 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.32/7.99 = 7.99x/7.99 left 1 OK left 0.6658 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.66583229 = 7.99x/7.99 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:34:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 986 = -658+974/x strategic 1 OK add 658 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1644 = 974/x strategic 1 BUG multiply 974 To remove 974/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 974/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:21.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1644 = 974/x strategic 2 ERROR multiply 974/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:29.0 HINT HINT ES_05 ES_05-3 EG59A 1644 = 974/x strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:35.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE 974/x is 974 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:38.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1644 = 974/x strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:35:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1644x = 974 strategic 1 OK divide 1644 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -89/y+(-65) = 17 strategic 1 OK add 65 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:21.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -89/y = 82 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -89 = 82y strategic 1 OK divide 82 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:39.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 939 = -900+(-138/x) strategic 1 OK add 900 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1839 = -138/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:36:54.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1839x = -138 strategic 1 OK divide 1839 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 24 = -4+86/y strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:10.0 CYCLE CYCLE ES_05 ES_05-3 EG59 28 = 86/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59 28y = 86 strategic 1 OK divide 28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 22 = 39/y+27 strategic 1 OK subtract 27 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 22-27 = 39/y+27-27 left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5 = 39/y+27-27 right 1 OK right 39/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5 = 39/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 39/y*y left 1 OK left -5y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:37:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 39/y*y right 1 OK right 39 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 39 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y/-5 = 39/-5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 39/-5 right 1 OK right -7.8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 51+(-685/y) = -591 strategic 1 OK subtract 51 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 51+(-685/y)-51 = -591-51 left 1 OK left -685/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685/y = -591-51 right 1 OK right -642 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:38:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685/y = -642 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685/y*y = -642y left 1 ERROR left -658 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685/y*y = -642y left 2 OK left -685 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685 = -642y right 1 OK right -642y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685 = -642y strategic 1 OK divide -642 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -685/-642 = -642y/-642 left 1 OK left 1.0669 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1.06697819 = -642y/-642 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 302+334/x = -631 strategic 1 OK subtract 302 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:39:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 302+334/x-302 = -631-302 left 1 OK left 334/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334/x = -631-302 right 1 OK right -933 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334/x = -933 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334/x*x = -933x left 1 OK left 334 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334 = -933x right 1 OK right -933x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334 = -933x strategic 1 OK divide -933 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334/-933 = -933x/-933 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:40:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 334/-933 = x left 1 OK left -0.3579 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15+55/y = 82 strategic 1 OK subtract 15 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 15+55/y-15 = 82-15 left 1 OK left 55/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55/y = 82-15 right 1 OK right 67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55/y = 67 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55/y*y = 67y left 1 OK left 55 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55 = 67y right 1 OK right 67y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55 = 67y strategic 1 OK divide 67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55/67 = 67y/67 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 55/67 = y left 1 OK left 0.82089 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:41:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+3y = 6y+5 strategic 1 ERROR clt -2+3y = 6y+5 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+3y = 6y+5 strategic 2 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = 3y+5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7 = 3y strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+(-10y) = 4+9y strategic 1 OK add 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 4+19y strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = 19y strategic 1 OK divide 19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:42:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9y+(-1) = 5y+(-4) strategic 1 OK add 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = 14y-4 strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 14y strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y+(-6) = 7y+5 strategic 1 OK add 1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = 8y+5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -11 = 8y strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+(-7) = -1+(-4y) strategic 1 OK add 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+(-7)+4y = -1+(-4y)+4y left 1 OK left 5y+-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:43:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y+(-7) = -1+(-4y)+4y right 1 OK right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y+(-7) = -1 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y+(-7)+7 = -1+7 left 1 OK left 5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = -1+7 right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y = 6 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5y/5 = 6/5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 6/5 right 1 OK right 6/5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:40.0 HINT HINT ES_05 ES_05-6 EG60 y = 6/5 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:44:43.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+5 = -7y+(-7) strategic 1 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+5+7y = -7y+(-7)+7y left 1 OK left 14y+5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y+5 = -7y+(-7)+7y right 1 OK right -7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y+5 = -7 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y+5-5 = -7-5 left 1 OK left 14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y = -7-5 right 1 OK right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y = -12 strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 14y/14 = -12/14 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:45:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/14 right 1 OK right -12/14 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:46:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/14 strategic 1 OK rf -12/14 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:46:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:46:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE You have solved the equation. y is 6/5. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:46:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/14 strategic 2 OK rf -12/14 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:46:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -6/7 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+6 = -1+7y strategic 1 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+6+7y = -1+7y+7y left 1 OK left 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -1+7y+7y right 1 OK right -1+14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -1+14y strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+1 = -1+14y+1 left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -1+14y+1 right 1 OK right 14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = 14y strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7/14 = 14y/14 left 1 OK left 0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0.5 = 14y/14 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:49.0 HINT HINT ES_05 ES_05-6 EG60 0.5 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:47:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.58+3.59y = -1.16+2.39y strategic 1 OK subtract 2.39y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.58+1.2y = -1.16 strategic 1 OK subtract 5.58 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.2y = -6.74 strategic 1 OK divide 1.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.56+5.65y = -0.07y+(-0.93) strategic 1 OK add 0.07y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.56+5.72y = -0.93 strategic 1 OK subtract 0.56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:48:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.72y = -1.49 strategic 1 OK divide 5.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:49:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.44x+(-4.97) = 6.99x+1.71 strategic 1 OK add 7.44x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:49:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.97 = 14.43x+1.71 strategic 1 OK subtract 1.71 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:49:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.68 = 14.43x strategic 1 ERROR divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:49:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.68 = 14.43x strategic 2 OK divide 14.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:49:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.64x+(-4.2) = -3.66x+(-2.32) strategic 1 OK add 5.64x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:50:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.64x+(-4.2)+5.64x = -3.66x+(-2.32)+5.64x left 1 ERROR left 1.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:50:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.64x+(-4.2)+5.64x = -3.66x+(-2.32)+5.64x right 1 OK right 1.98x+-2.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:50:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.64x+(-4.2)+5.64x = 1.98x+(-2.32) left 1 OK left -4.2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:50:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.2 = 1.98x+(-2.32) strategic 1 OK add 2.32 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.2+2.32 = 1.98x+(-2.32)+2.32 left 1 OK left -1.88 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.88 = 1.98x+(-2.32)+2.32 right 1 OK right 1.98x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.88 = 1.98x strategic 1 OK divide 1.98 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.88/1.98 = 1.98x/1.98 left 1 OK left -0.9494 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.94949495 = 1.98x/1.98 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:51:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.16+(-5.85y) = -6.55y+(-3.55) strategic 1 OK add 6.55y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.16+(-5.85y)+6.55y = -6.55y+(-3.55)+6.55y left 1 OK left 4.16+0.7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.16+0.7y = -6.55y+(-3.55)+6.55y right 1 OK right -3.55 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.16+0.7y = -3.55 strategic 1 OK subtract 4.16 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.16+0.7y-4.16 = -3.55-4.16 left 1 OK left 0.7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.7y = -3.55-4.16 right 1 OK right -7.71 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.7y = -7.71 strategic 1 OK divide 0.7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.7y/0.7 = -7.71/0.7 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:52:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -7.71/0.7 right 1 OK right -11.0142 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:53:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.54y+(-5.44) = -5.91y+0.08 strategic 1 OK add 5.91y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:53:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.54y+(-5.44)+5.91y = -5.91y+0.08+5.91y left 1 OK left 7.45y+-5.44 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:53:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y+(-5.44) = -5.91y+0.08+5.91y right 1 OK right 0.08 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:53:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y+(-5.44) = 0.08 strategic 1 OK add 5.44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:53:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y+(-5.44)+5.44 = 0.08+5.44 left 1 OK left 7.45y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y = 0.08+5.44 right 1 OK right 5.52 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y = 5.52 strategic 1 OK divide 7.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.45y/7.45 = 5.52/7.45 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 5.52/7.45 right 1 OK right 0.74093 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6+2.07x = 4.12+4.25x strategic 1 OK subtract 2.07x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:54:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6+2.07x-2.07x = 4.12+4.25x-2.07x left 1 OK left -1.6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:55:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6 = 4.12+4.25x-2.07x right 1 ERROR right 4.12+2.18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:55:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6 = 4.12+4.25x-2.07x right 2 OK right 4.12+2.18x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6 = 4.12+2.18x strategic 1 OK subtract 4.12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.6-4.12 = 4.12+2.18x-4.12 left 1 OK left -5.72 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.72 = 4.12+2.18x-4.12 right 1 OK right 2.18x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.72 = 2.18x strategic 1 OK divide 2.18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.72/2.18 = 2.18x/2.18 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:56:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.72/2.18 = x left 1 OK left -2.6238 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:57:08.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4468.37+(-226.2y) = 8118.17+(-965.46y) strategic 1 ERROR add -65.46y condition 1 cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:57:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4468.37+(-226.2y) = 8118.17+(-965.46y) strategic 2 OK add 965.46y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:57:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4468.37+739.26y = 8118.17 strategic 1 OK subtract 4468.37 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:57:42.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 739.26y = 3649.8 strategic 1 OK divide 739.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:57:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -85.99+(-10.99y) = -17.8y+49.18 strategic 1 OK add 17.8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:58:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -85.99+6.81y = 49.18 strategic 1 OK add 85.99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:58:08.0 CYCLE CYCLE ES_05 ES_05-9 EG62 6.81y = 135.17 strategic 1 OK divide 6.81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:58:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62 43.16x+(-35.82) = -27.72+50.98x strategic 1 OK subtract 43.16x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:58:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -35.82 = -27.72+7.82x strategic 1 OK add 27.72 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:58:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -8.1 = 7.82x strategic 1 OK divide 7.82 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:59:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -310.25x+4166 = 395.47+414.06x strategic 1 OK add 310.25x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:59:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -310.25x+4166+310.25x = 395.47+414.06x+310.25x left 1 OK left 4166 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:59:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 4166 = 395.47+414.06x+310.25x right 1 OK right 395.47+724.31x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:59:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 4166 = 395.47+724.31x strategic 1 OK subtract 395.47 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 13:59:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 4166-395.47 = 395.47+724.31x-395.47 right 1 OK right 724.31x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:00:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 4166-395.47 = 724.31x left 1 OK left 3770.53 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:00:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3770.53 = 724.31x strategic 1 OK divide 724.31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:00:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3770.53/724.31 = 724.31x/724.31 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:00:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3770.53/724.31 = x left 1 OK left 5.20568 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:01:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -53.42+(-9.73x) = 80.86x+42.39 strategic 1 OK add 9.73x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:01:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -53.42+(-9.73x)+9.73x = 80.86x+42.39+9.73x left 1 OK left -53.42 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:02:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -53.42 = 80.86x+42.39+9.73x right 1 OK right 90.59x+42.39 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:02:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -53.42 = 90.59x+42.39 strategic 1 OK subtract 42.39 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:02:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -53.42-42.39 = 90.59x+42.39-42.39 left 1 OK left -95.81 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:02:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -95.81 = 90.59x+42.39-42.39 right 1 OK right 90.59x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:02:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -95.81 = 90.59x strategic 1 OK divide 90.59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:03:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -95.81/90.59 = 90.59x/90.59 left 1 OK left -1.0576 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:03:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -1.05762225 = 90.59x/90.59 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:03:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 588.95y+(-8263.44) = -359.38y+9442.33 strategic 1 OK add 359.38y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:04:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 588.95y+(-8263.44)+359.38y = -359.38y+9442.33+359.38y left 1 ERROR left 948.33 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:05:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 588.95y+(-8263.44)+359.38y = -359.38y+9442.33+359.38y left 2 OK left 948.33y+-8263.44 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:05:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y+(-8263.44) = -359.38y+9442.33+359.38y right 1 OK right 9442.33 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:05:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y+(-8263.44) = 9442.33 strategic 1 OK add 8263.44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:05:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y+(-8263.44)+8263.44 = 9442.33+8263.44 left 1 OK left 948.33y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:05:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y = 9442.33+8263.44 right 1 OK right 17705.77 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:06:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y = 17705.77 strategic 1 OK divide 948.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:06:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 948.33y/948.33 = 17705.77/948.33 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:06:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = 17705.77/948.33 right 1 OK right 18.6704 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:06:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6770.14+(-907.06x) = 151.39x+4739.35 strategic 1 OK add 907.06x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:06:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6770.14+(-907.06x)+907.06x = 151.39x+4739.35+907.06x left 1 OK left -6770.14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:07:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6770.14 = 151.39x+4739.35+907.06x right 1 OK right 1058.45x+4739.35 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:07:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6770.14 = 1058.45x+4739.35 strategic 1 OK subtract 4739.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:08:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6770.14-4739.35 = 1058.45x+4739.35-4739.35 left 1 OK left -11509.49 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:08:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -11509.49 = 1058.45x+4739.35-4739.35 right 1 OK right 1058.45x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:08:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -11509.49 = 1058.45x strategic 1 OK divide 1058.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:08:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -11509.49/1058.45 = 1058.45x/1058.45 left 1 OK left -10.8739 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:08:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -10.87390996 = 1058.45x/1058.45 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:09:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -88.64x+(-68.25) = -15.63x+59.83 strategic 1 OK add 88.64x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:09:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -88.64x+(-68.25)+88.64x = -15.63x+59.83+88.64x left 1 OK left -68.25 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:09:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -68.25 = -15.63x+59.83+88.64x right 1 ERROR right 73.01c+59.83 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:09:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -68.25 = -15.63x+59.83+88.64x right 2 OK right 73.01x+59.83 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:09:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -68.25 = 73.01x+59.83 strategic 1 OK subtract 59.83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:10:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -68.25-59.83 = 73.01x+59.83-59.83 left 1 OK left -128.08 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:10:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -128.08 = 73.01x+59.83-59.83 right 1 OK right 73.01x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:10:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -128.08 = 73.01x strategic 1 OK divide 73.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:10:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -128.08/73.01 = 73.01x/73.01 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 3cjD21W session28 2007-04-20 14:10:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -128.08/73.01 = x left 1 OK left -1.75428 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:27:51.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:28:01.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:28:04.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:28:25.0 CYCLE CYCLE ES_05 ES_05-1 EG42 89.89 = 31.24+(-40.19y) strategic 1 OK subtract 31.24 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:28:33.0 CYCLE CYCLE ES_05 ES_05-1 EG42 58.65 = -40.19y strategic 1 OK divide -40.19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:28:51.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1295 = 2653x+(-9708) strategic 1 ERROR subtract -9.708 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:29:08.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1295 = 2653x+(-9708) strategic 2 OK subtract -9708 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:29:17.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 8413 = 2653x strategic 1 OK divide 2653 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:29:28.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9375 = -4455x+(-4439) strategic 1 OK subtract -4439 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:31:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9375-(-4439) = -4455x+(-4439)-(-4439) right 1 OK right -4455x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:32:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9375-(-4439) = -4455x left 1 BUG left 4936 4936 is equal to 9375 plus -4439. You need to calculate 9375 minus -4439. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:32:59.0 HINT HINT ES_05 ES_05-2 EG43A 9375-(-4439) = -4455x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:33:00.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 1 HINT_LEVEL_CHANGE Type in 9375-(-4439) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:33:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9375-(-4439) = -4455x left 2 OK left 9375-(-4439) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:33:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9375+4439 = -4455x strategic 1 OK clt 9375+4439 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:33:43.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 OK 13814 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:33:52.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 13814 = -4455x strategic 1 BUG divide 4455 In this equation, x is multiplied by -4455. Dividing by 4455 leaves -x, so you still need to remove the negative sign. It is better to divide by -4455, since that would leave x. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:34:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 13814 = -4455x strategic 2 BUG divide 13814 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:34:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 13814 = -4455x strategic 3 OK divide -4455 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:35:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 13814/-4455 = -4455x/-4455 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:36:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 13814/-4455 = x left 1 OK left -3.10078 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:36:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x+(-9.83) = 3.4 strategic 1 OK subtract -9.83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:36:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x+(-9.83)-(-9.83) = 3.4-(-9.83) left 1 OK left 0.15x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x = 3.4-(-9.83) right 1 OK right 13.23 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x = 13.23 strategic 1 ERROR divide x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x = 13.23 strategic 2 OK divide 0.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.15x/0.15 = 13.23/0.15 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42A x = 13.23/0.15 right 1 OK right 88.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -21+49y = -43 strategic 1 OK subtract -21 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:37:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -21+49y-(-21) = -43-(-21) left 1 OK left 49y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43 49y = -43-(-21) right 1 OK right -22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:11.0 CYCLE CYCLE ES_05 ES_05-2 EG43 49y = -22 strategic 1 OK divide 49 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43 49y/49 = -22/49 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:21.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = -22/49 right 1 ERROR right -0.44 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = -22/49 right 2 OK right -0.448979 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:38:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -8+(-92/y) = 89 strategic 1 OK subtract -8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:39:11.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92/y = 97 strategic 1 ERROR multiply 92 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:39:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92/y = 97 strategic 2 BUG multiply -92 To remove -92/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -92/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:39:47.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92/y = 97 strategic 3 ERROR multiply -92/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:39:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92/y = 97 strategic 4 ERROR multiply -92/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:03.0 HINT HINT ES_05 ES_05-3 EG59 -92/y = 97 strategic 5 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:04.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -92/y is -92 divided by y. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:08.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92/y = 97 strategic 6 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -92 = 97y strategic 1 OK divide 97 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -944+385/y = -474 strategic 1 OK subtract -944 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 385/y = 470 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 385 = 470y strategic 1 OK divide 470 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:47.0 CYCLE CYCLE ES_05 ES_05-3 EG59 24 = 35+(-18/x) strategic 1 OK subtract 35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:40:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -11 = -18/x strategic 1 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:41:08.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -11 = -18/x strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:42:20.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -11x = -18 strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:42:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -80 = 46+48/x strategic 1 OK subtract 46 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -126 = 48/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -126x = 48 strategic 1 OK divide -126 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 886 = 664+(-794/y) strategic 1 OK subtract 664 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 222 = -794/y strategic 1 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 222 = -794/y strategic 2 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:43:42.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 222y = -794 strategic 1 OK divide 222 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:44:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -43/x+66 = -82 strategic 1 OK subtract 66 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:44:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -43/x = -148 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:44:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -43 = -148x strategic 1 BUG multiply -148 To remove the coefficient of -148x, you need to divide. Erase your last step and then divide both sides by -148. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:45:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -43 = -148x strategic 2 BUG multiply -148 To remove the coefficient of -148x, you need to divide. Erase your last step and then divide both sides by -148. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:45:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -43 = -148x strategic 3 OK divide -148 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:46:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -584 = -865/x+(-301) strategic 1 OK subtract (-301) condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:46:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -283 = -865/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:47:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -283x = -865 strategic 1 OK divide -283 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:47:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 71 = 25+83/y strategic 1 OK subtract 25 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:47:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 71-25 = 25+83/y-25 left 1 OK left 46 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:47:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46 = 25+83/y-25 right 1 OK right 83/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46 = 83/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83/y*y left 1 ERROR left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83/y*y left 2 BUG left 46 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83/y*y right 1 OK right 83 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83 left 1 ERROR left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:48:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83 left 2 OK left 46y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:49:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83 strategic 1 ERROR divide y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:49:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83 strategic 2 BUG multiply 46 To remove the coefficient of 46y, you need to divide. Erase your last step and then divide both sides by 46. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:50:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y = 83 strategic 3 OK divide 46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:50:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46y/46 = 83/46 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 83/46 right 1 OK right 83/46 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/x+11 = -505 strategic 1 OK subtract 11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/x+11-11 = -505-11 left 1 OK left 375/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/x = -505-11 right 1 OK right -516 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/x = -516 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/x*x = -516x left 1 OK left 375 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:51:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375 = -516x right 1 OK right -516x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:52:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375 = -516x strategic 1 OK divide -516 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:52:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/-516 = -516x/-516 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:53:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/-516 = x left 1 BUG left -1.376 You need to calculate 375 divided by -516, not -516 divided by 375. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:02.0 HINT HINT ES_05 ES_05-4 EG59A 375/-516 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:03.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in 375/-516 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/-516 = x left 2 OK left 375/-516 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/-516 = x strategic 2 BUG mt 375/-516 = x strategic Simplify the fraction 375/-516. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 375/-516 = x strategic 3 OK rf 375/-516 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:54:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 1 ERROR 375 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 2 ERROR 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 3 ERROR -516 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:31.0 HINT HINT ES_05 ES_05-4 EG59A row2constant factors strategic 4 INITIAL_HINT -516 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:34.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 375 and denominator -516? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:37.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 3 HINT_LEVEL_CHANGE -3 will go into both 375 and -516 and is the most appropriate common factor. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 5 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 1 ERROR 375 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:55:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 2 ERROR -516 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:12.0 HINT HINT ES_05 ES_05-4 EG59A row3-N-constant factors strategic 3 INITIAL_HINT -516 The common factor between the numerator and denominator of [375]/[-516] is -3. This set of entry boxes represent the simplified form of [375]/[-516]. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:14.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 4 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:14.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 375, by -3, the common factor. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:19.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 6 HINT_LEVEL_CHANGE Type -125. HINT 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 4 OK -125 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:36.0 HINT HINT ES_05 ES_05-4 EG59A row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [375]/[-516] is -3. This set of entry boxes represent the simplified form of [375]/[-516]. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:37.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 7 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:37.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -516, by -3, the common factor. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:37.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 9 HINT_LEVEL_CHANGE Type 172. HINT 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-constant factors strategic 2 OK 172 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:57.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 375/-516. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:57.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 10 HINT_LEVEL_CHANGE To simplify, divide -516 into 375. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:56:58.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 11 HINT_LEVEL_CHANGE Type -125/172. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -125/172 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x+(-43) = 4 strategic 1 ERROR subtract -42 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x+(-43) = 4 strategic 2 OK subtract -43 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x+(-43)-(-43) = 4-(-43) left 1 OK left 56/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x = 4-(-43) right 1 OK right 47 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x = 47 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/x*x = 47x left 1 OK left 56 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56 = 47x right 1 BUG right 47 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:57:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56 = 47x right 2 OK right 47x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56 = 47x strategic 1 OK divide 47 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 56/47 = 47x/47 left 1 OK left 1.1914 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1.19148936 = 47x/47 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -12 = -85/x+(-146) strategic 1 OK subtract -146 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -12-(-146) = -85/x+(-146)-(-146) right 1 OK right -85/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:58:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -12-(-146) = -85/x left 1 OK left 134 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:59:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 134 = -85/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 13:59:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 134x = -85/x*x right 1 OK right -85 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 134x = -85 left 1 OK left 134x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 134x = -85 strategic 1 OK divide 134 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 134x/134 = -85/134 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -85/134 right 1 OK right -85/134 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+9 = 6+(-2y) strategic 1 OK subtract 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:00:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+3 = -2y strategic 1 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -2y-3 strategic 1 ERROR add 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:05.0 HINT HINT ES_05 ES_05-5 EG60 -2y+3 = -2y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:06.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -2y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:10.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -2y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+3 = -2y strategic 3 OK subtract -2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:36.0 HINT HINT ES_05 ES_05-5 EG60 -3+(-3y) = -3+(-9y) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:37.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3+(-3y) = -3+(-9y) strategic 2 OK rds -3+(-3y) = -3+(-9y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:01:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-3y = -3-9y strategic 1 ERROR clt -3-3y = -3-9y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:02:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-3y = -3-9y strategic 2 ERROR rds -3-3y = -3-9y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:02:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-3y = -3-9y strategic 3 ERROR clt -3-3y = -3-9y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:03:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-3y = -3-9y strategic 4 OK subtract -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:03:46.0 HINT HINT ES_05 ES_05-5 EG60 -3y = -9y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:03:49.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:03:52.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 9y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = -9y strategic 2 OK add 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = 0 strategic 1 BUG multiply 6 To remove the coefficient of 6y, you need to divide. Erase your last step and then divide both sides by 6. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:40.0 HINT HINT ES_05 ES_05-5 EG60 6y = 0 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:41.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE 6y is 6 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:45.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by 6. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:04:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = 0 strategic 3 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:05:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+(-4) = -6y+(-10) strategic 1 OK subtract -10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:05:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+6 = -6y strategic 1 ERROR subtract 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:05:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -6y-6 strategic 1 ERROR add 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:06:27.0 HINT HINT ES_05 ES_05-5 EG60 8y+6 = -6y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:06:28.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:06:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 8y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:06:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+6 = -6y strategic 3 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:06:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = -14y strategic 1 OK divide -14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:07:04.0 HINT HINT ES_05 ES_05-5 EG60 -4x+7 = 2x+(-2) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:07:05.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:07:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+7 = 2x+(-2) strategic 2 OK subtract -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:08:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+9 = 2x strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:09:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+9 = 2x strategic 2 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:19.0 HINT HINT ES_05 ES_05-5 EG60 -4x+9 = 2x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:20.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move -4x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:24.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract -4x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+9 = 2x strategic 4 OK subtract -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:54.0 HINT HINT ES_05 ES_05-5 EG60 9 = 6x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:55.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE 6x is 6 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:10:59.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by 6. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:11:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = 6x strategic 2 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+1y = -10y+(-7) strategic 1 OK subtract 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y = -10y-7 strategic 1 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:20.0 HINT HINT ES_05 ES_05-5 EG60 y = -10y-7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:22.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 10y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 10y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y = -10y-7 strategic 3 OK add 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:45.0 HINT HINT ES_05 ES_05-5 EG60 11y = -7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:46.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE 11y is 11 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:49.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 11. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:12:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11y = -7 strategic 2 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:13:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+(-2) = 2x+1 strategic 1 OK subtract -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:13:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 1 BUG multiply 8 To remove the coefficient of 8x, you need to divide. Erase your last step and then divide both sides by 8. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:13:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 2 ERROR divide 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:13:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 3 BUG divide 8 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 4 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 5 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 6 ERROR add 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 7 ERROR subtract 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:25.0 HINT HINT ES_05 ES_05-5 EG60 8x = 2x+3 strategic 8 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:26.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:32.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 2x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x = 2x+3 strategic 9 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:14:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6x = 3 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:15:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10+10x = 0+(-2x) strategic 1 OK subtract 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:16:14.0 HINT HINT ES_05 ES_05-5 EG60 -10+10x = -2x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:16:14.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 10x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:16:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10+10x = -2x strategic 2 ERROR clt -10+10x = -2x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:17:16.0 HINT HINT ES_05 ES_05-5 EG60 -10+10x = -2x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:17:17.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 10x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:17:21.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 10x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:17:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10+10x = -2x strategic 4 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:17:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = -12x strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y+10 = -6y+8 strategic 1 ERROR multiply 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y+10 = -6y+8 strategic 2 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:34.0 HINT HINT ES_05 ES_05-5 EG60 -6y+2 = -6y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:35.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -6y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:38.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -6y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:18:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y+2 = -6y strategic 2 OK subtract -6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:19:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9+(-8x) = -4x+(-5) strategic 1 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:19:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4-8x = -4x strategic 1 BUG divide -4 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:20:29.0 HINT HINT ES_05 ES_05-5 EG60 -4-8x = -4x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:20:30.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:20:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 8x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:20:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4-8x = -4x strategic 3 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:21:23.0 HINT HINT ES_05 ES_05-5 EG60 -4 = 4x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:21:24.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE 4x is 4 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:21:29.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 4. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:21:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4 = 4x strategic 2 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:22:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+8 = 4x+6 strategic 1 OK subtract 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:22:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 4x strategic 1 ERROR divide 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:22:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 4x strategic 2 ERROR multiply 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:23:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 4x strategic 3 ERROR add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:23:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 4x strategic 4 ERROR subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:24:11.0 HINT HINT ES_05 ES_05-5 EG60 8x+2 = 4x strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:24:12.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:24:20.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 8x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:24:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8x+2 = 4x strategic 6 OK subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session12 2007-04-20 14:24:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2 = -4x strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+4y = -3+(-3y) strategic 1 OK subtract -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11+4y = -3y strategic 1 ERROR subtract 11 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:42.0 HINT HINT ES_05 ES_05-5 EG60 11+4y = -3y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:43.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:47.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 4y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:20:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11+4y = -3y strategic 3 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -11/7 = y strategic 1 BUG rf -11/7 = y strategic You already solved the equation. y is -11/7. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:11.0 HINT HINT ES_05 ES_05-5 EG60 -11/7 = y strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+6x = -2x+(-2) strategic 1 OK subtract -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+6x = -2x strategic 1 OK subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4 = -8x strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6+(-4x) = 8+7x strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-4x = 7x strategic 1 ERROR subtract -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:21:59.0 HINT HINT ES_05 ES_05-5 EG60 -2-4x = 7x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:01.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:04.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-4x = 7x strategic 3 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = 11x strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+3x = 10+(-9x) strategic 1 OK subtract 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -18+3x = -9x strategic 1 ERROR subtract -18 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -18+3x = -9x strategic 2 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -18 = -12x strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x+(-5) = -10x+(-5) strategic 1 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:22:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = -10x strategic 1 OK divide -10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x/10 = x strategic 1 ERROR multiply 10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:05.0 HINT HINT ES_05 ES_05-5 EG60 x/10 = x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x/10 = x strategic 3 ERROR rf x/10 = x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:17.0 HINT HINT ES_05 ES_05-5 EG60 x/10 = x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:21.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move x/10 to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:24.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract x/10 from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x/10 = x strategic 5 OK subtract x/10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:34.0 HINT HINT ES_05 ES_05-5 EG60 0 = x-x/10 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:40.0 HINT HINT ES_05 ES_05-5 EG60 0 = x-x/10 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:23:56.0 HINT HINT ES_05 ES_05-5 EG60 0 = x-x/10 strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:24:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x+(-5) = -10x+(-5) strategic 2 BUG add -5 To remove -5 from the left side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:24:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x+(-5) = -10x+(-5) strategic 3 OK add 5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:24:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = -10x strategic 2 OK divide -10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:25:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x/10 = x strategic 6 OK subtract x/10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:25:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = x-x/10 strategic 4 ERROR clt 0 = x-x/10 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+1x = -9x+3 strategic 1 OK add 9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+1x+9 = -9x+3+9 left 1 OK left 1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x = -9x+3+9 right 1 ERROR right 3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:18.0 HINT HINT ES_05 ES_05-6 EG60 1x = -9x+3+9 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -9x+3+9 on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x = -9x+3+9 right 2 OK right -9x+3+9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x = -9x+3+9 strategic 2 OK unnec-elems 1x=-9x+3+9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -9x+3+9 strategic 1 OK clt -9x+3+9 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG -9x -9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 BUG  9x  9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  9x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 3 OK +9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:26:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 13 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -9x+12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:17.0 HINT HINT ES_05 ES_05-6 EG60 x = -9x+12 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:27:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 9x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -9x+12 strategic 2 OK add 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+9x = -9x+12+9x left 1 BUG left x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+9x = -9x+12+9x left 2 ERROR left 9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:46.0 HINT HINT ES_05 ES_05-6 EG60 x+9x = -9x+12+9x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in x+9x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:28:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+9x = -9x+12+9x left 3 OK left x+9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+9x = -9x+12+9x right 1 OK right 12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:02.0 HINT HINT ES_05 ES_05-6 EG60 x+9x = 12 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+9x = 12 strategic 2 OK clt x+9x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:16.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT -9x In the group above, x and 9x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE The coefficients in [x]+[9x] are 1 and 9. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Combining the like terms x and 9x results in 10x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 10x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 12 strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:29:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x/10 = 12/10 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:30:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 12/10 right 1 OK right 1.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:30:46.0 HINT HINT ES_05 ES_05-6 EG60 x = 1.2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:30:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+5x = 2x+(-2) strategic 1 OK add 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+5x+2 = 2x+(-2)+2 left 1 BUG left -4+5x You haven't performed any operations. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+5x+2 = 2x+(-2)+2 left 2 OK left -4+5x+2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+5x+2 = 2x+(-2)+2 right 1 OK right 2x+(-2)+2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+5x+2 = 2x-2+2 strategic 1 OK clt -4+5x+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG +2 +2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK +5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:31:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 5x+-2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x-2+2 strategic 1 OK clt 2x-2+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 OK 2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 2x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x strategic 1 ERROR add 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x strategic 2 ERROR add 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2+2 = 2x+2 left 1 OK left 5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 2x+2 right 1 ERROR right x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 2x+2 right 2 OK right 2x+2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:49.0 HINT HINT ES_05 ES_05-6 EG60 5x-2 = 2x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:32:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 5x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x strategic 4 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2-5x = 2x-5x left 1 BUG left 2 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2-5x = 2x-5x left 2 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2x-5x right 1 OK right -3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:29.0 HINT HINT ES_05 ES_05-6 EG60 -2 = -3x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE -3x is -3 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -3. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = -3x strategic 2 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-3 = -3x/-3 left 1 ERROR left 0.6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:33:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-3 = -3x/-3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:34:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-3 = x left 1 OK left 0.6666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:34:23.0 HINT HINT ES_05 ES_05-6 EG60 0.66666667 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:34:23.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:35:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x = 9x+(-1) strategic 1 BUG subtract 8 Since -8 is negative, you should add to remove it from the both side. Erase your last step and add 8 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:35:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x = 9x+(-1) strategic 2 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:39:49.0 HINT HINT ES_05 ES_05-6 EG60 -8+9x-(-8) = 9x+(-1)-(-8) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:39:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -8+9x-(-8) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x-(-8) = 9x+(-1)-(-8) left 1 ERROR left -8+9x-(-9) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x-(-8) = 9x+(-1)-(-8) left 2 OK left -8+9x-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x+8 = 9x+(-1)-(-8) right 1 OK right 9x+(-1)-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+9x+8 = 9x-1+8 strategic 1 OK clt -8+9x+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -8 -8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:40:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = 9x-1+8 strategic 1 OK clt 9x-1+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG  1 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 9x+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = 9x+7 strategic 1 ERROR subtract 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:25.0 HINT HINT ES_05 ES_05-6 EG60 9x = 9x+7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:26.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 9x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = 9x+7 strategic 3 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x-9x = 9x+7-9x left 1 ERROR left x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x-9x = 9x+7-9x left 2 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 9x+7-9x right 1 ERROR right 7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:51.0 HINT HINT ES_05 ES_05-6 EG60 0 = 9x+7-9x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:41:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in 9x+7-9x on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 9x+7-9x right 2 OK right 9x+7-9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 9x+7-9x strategic 2 ERROR mt 0 = 9x+7-9x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 9x+7-9x strategic 3 OK clt 9x+7-9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 BUG 9x 9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 OK 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 BUG  9x  9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  9x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 BUG  9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 7 OK +7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 BUG 7x 7x
Perhaps you should fill in all the x terms above. BUG condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:42:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR 9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK 9x-9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 9x-9x+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 9x-9x+7 strategic 1 OK clt 9x-9x+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:28.0 HINT HINT ES_05 ES_05-6 EG60 0 = 7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:40.0 HINT HINT ES_05 ES_05-6 EG60 0 = 7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:41.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Since 0 never equals 7, no value of x will make this equation true. -8+9x is never equal to 9x+[-1]. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:43:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+(-8x) = -4+(-6x) strategic 1 ERROR subtract 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+(-8x) = -4+(-6x) strategic 2 OK subtract -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+(-8x)-(-4) = -4+(-6x)-(-4) left 1 OK left 1+(-8x)-(-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-8x+4 = -4+(-6x)-(-4) right 1 OK right -4+(-6x)-(-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-8x+4 = -4-6x+4 strategic 1 OK clt 1-8x+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  8x  8x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  8x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG  8x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -8x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:44:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -8x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -8x+45 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -8x+5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+5 = -4-6x+4 strategic 1 OK clt -4-6x+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK -6x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -6x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+5 = -6x strategic 1 ERROR clt -8x+5 = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+5 = -6x strategic 2 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:45:59.0 HINT HINT ES_05 ES_05-6 EG60 -8x+5 = -6x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -8x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+5 = -6x strategic 4 OK subtract -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+5-(-8x) = -6x-(-8x) left 1 OK left 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -6x-(-8x) right 1 OK right -6x-(-8x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -6x+8x strategic 1 OK clt -6x+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -14x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR 2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:46:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 2x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = 2x strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5/2 = 2x/2 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5/2 = x left 1 OK left 2.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+0 = 2x+2 strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+0-2 = 2x+2-2 left 1 OK left 5x+0-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+0-2 = 2x+2-2 right 1 OK right 2x+2-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+0-2 = 2x+2-2 strategic 1 OK unnec-elems 5x+0-2=2x+2-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x+2-2 strategic 1 OK clt 2x+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:47:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG  2 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 2x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x strategic 1 ERROR add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:44.0 HINT HINT ES_05 ES_05-6 EG60 5x-2 = 2x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 5x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 2x strategic 3 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:48:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2-5x = 2x-5x left 1 BUG left 2 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2-5x = 2x-5x left 2 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2x-5x right 1 OK right 2x-5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2x-5x strategic 1 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:31.0 HINT HINT ES_05 ES_05-6 EG60 -2 = 2x-5x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:32.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2x-5x strategic 3 OK clt 2x-5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 3x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -3x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:49:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-3 = -3x/-3 left 1 OK left 0.66667 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0.66666667 = -3x/-3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-8) = -3+(-8y) strategic 1 ERROR subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-8) = -3+(-8y) strategic 2 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y+(-8)-(-8) = -3+(-8y)-(-8) left 1 OK left 4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:50:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -3+(-8y)-(-8) right 1 ERROR right -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -3+(-8y)-(-8) right 2 OK right -3+(-8y)-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -3-8y+8 strategic 1 OK clt -3-8y+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  8y  8y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  8y, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -8y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:51:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -8y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -8y+5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -8y+5 strategic 1 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -8y+5 strategic 2 OK subtract -8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-(-8y) = -8y+5-(-8y) left 1 BUG left -12y The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-(-8y) = -8y+5-(-8y) left 2 OK left 12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y = -8y+5-(-8y) right 1 BUG right -5 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y = -8y+5-(-8y) right 2 OK right 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y = 5 strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y/12 = 5/12 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:52:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 5/12 right 1 OK right 0.41666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+9y = -5+(-7y) strategic 1 ERROR subtract 7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+9y = -5+(-7y) strategic 2 OK subtract 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+9y-7 = -5+(-7y)-7 left 1 OK left 9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -5+(-7y)-7 right 1 ERROR right -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -5+(-7y)-7 right 2 OK right -5+(-7y)-7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -5-7y-7 strategic 1 OK clt -5-7y-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  7y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:53:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -7y+-12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y-12 strategic 1 ERROR add 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:27.0 HINT HINT ES_05 ES_05-6 EG60 9y = -7y-12 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 7y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y-12 strategic 3 ERROR add -7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+(-7y) = -7y-12+(-7y) left 1 BUG left 9y You haven't performed any operations. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:47.0 HINT HINT ES_05 ES_05-6 EG60 9y = -7y-12 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 7y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:54:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y = -7y-12 strategic 5 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:55:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+7y = -7y-12+7y left 1 ERROR left 9y+9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:55:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+7y = -7y-12+7y left 2 OK left 9y+7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:55:57.0 HINT HINT ES_05 ES_05-6 EG60 9y+7y = -7y-12+7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:55:58.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -7y-12+7y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+7y = -7y-12+7y right 1 OK right -7y-12+7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+7y = -7y-12+7y strategic 2 OK clt 9y+7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 16y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -7y-12+7y strategic 1 OK clt -7y-12+7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:56:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y = -12 strategic 1 OK divide 16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16y/16 = -12/16 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/16 right 1 BUG right 0.75 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/16 right 2 OK right -0.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-2y) = -5+2y strategic 1 OK subtract -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-2y)-(-4) = -5+2y-(-4) left 1 OK left -2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:57:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = -5+2y-(-4) right 1 OK right -5+2y-(-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = -5+2y+4 strategic 1 OK clt -5+2y+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 2y+-1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = 2y-1 strategic 1 ERROR divide 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:38.0 HINT HINT ES_05 ES_05-6 EG60 -2y = 2y-1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:39.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 2y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = 2y-1 strategic 3 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:58:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2y = 2y-1-2y left 1 BUG left 0 0 is equal to -2y plus 2y. You need to calculate -2y minus 2y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2y = 2y-1-2y left 2 BUG left -2y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2y = 2y-1-2y left 3 OK left -4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 2y-1-2y right 1 BUG right 1 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 2y-1-2y right 2 OK right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = -1 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y/-4 = -1/-4 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -1/-4 right 1 OK right 0.25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+1y = 3y+5 strategic 1 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 13:59:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+1y-1 = 3y+5-1 left 1 OK left 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = 3y+5-1 right 1 ERROR right 3y-4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = 3y+5-1 right 2 OK right 3y+4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = 3y+4 strategic 1 OK unnec-elems 1y=3y+4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 3y+4 strategic 1 ERROR subtract 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 3y+4 strategic 2 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 3y+4-3y right 1 BUG right -4 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 3y+4-3y right 2 OK right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 4 left 1 ERROR left 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 4 left 2 ERROR left -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 4 left 3 OK left y-3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:55.0 HINT HINT ES_05 ES_05-6 EG60 y-3y = 4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:00:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-3y = 4 strategic 2 OK clt y-3y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 3y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -3y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:07.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 0 In the group above, y and -3y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [y]+[-3y] are 1 and -3. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms y and -3y results in -2y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = 4 strategic 1 BUG divide 2 In this equation, y is multiplied by -2. Dividing by 2 leaves -y, so you still need to remove the negative sign. It is better to divide by -2, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:34.0 HINT HINT ES_05 ES_05-6 EG60 -2y = 4 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE -2y is -2 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = 4 strategic 3 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y/-2 = 4/-2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4/-2 right 1 OK right -2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:50.0 HINT HINT ES_05 ES_05-6 EG60 y = -2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:01:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1+8x = -7+9x strategic 1 BUG subtract 1 Since -1 is negative, you should add to remove it from the both side. Erase your last step and add 1 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1+8x = -7+9x strategic 2 OK subtract -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1+8x-(-1) = -7+9x-(-1) left 1 OK left 8x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = -7+9x-(-1) right 1 ERROR right 6+9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:32.0 HINT HINT ES_05 ES_05-6 EG60 8x = -7+9x-(-1) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -7+9x-(-1) on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = -7+9x-(-1) right 2 OK right -7+9x-(-1) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:02:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = -7+9x+1 strategic 1 OK clt -7+9x+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK +9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 9x+-6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = 9x-6 strategic 1 ERROR add 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = 9x-6 strategic 2 ERROR add 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:49.0 HINT HINT ES_05 ES_05-6 EG60 8x = 9x-6 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 9x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:03:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x = 9x-6 strategic 4 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x-9x = 9x-6-9x left 1 BUG left 17x 17x is equal to 8x plus 9x. You need to calculate 8x minus 9x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x-9x = 9x-6-9x left 2 OK left -1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x = 9x-6-9x right 1 BUG right 6 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x = 9x-6-9x right 2 OK right -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x = -6 strategic 1 OK divide -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x/-1 = -6/-1 left 1 OK left x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -6/-1 right 1 OK right 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+0 = 2+2y strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:04:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+0-2 = 2+2y-2 right 1 OK right 2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+0-2 = 2y left 1 OK left 6y+0-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+0-2 = 2y strategic 1 OK unnec-elems 6y+0-2=2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-2 = 2y strategic 1 ERROR add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:34.0 HINT HINT ES_05 ES_05-6 EG60 6y-2 = 2y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 6y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:38.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 6y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-2 = 2y strategic 3 OK subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-2-6y = 2y-6y left 1 BUG left 2 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-2-6y = 2y-6y left 2 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2y-6y right 1 BUG right 4y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:05:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 2y-6y right 2 OK right -4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = -4y strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-4 = -4y/-4 left 1 OK left 0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0.5 = -4y/-4 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x+8 = 4x+8 strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x+8-8 = 4x+8-8 left 1 BUG left -1x The result should be positive. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x+8-8 = 4x+8-8 left 2 OK left 1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x = 4x+8-8 right 1 OK right 4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1x = 4x strategic 1 OK unnec-elems 1x=4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 4x strategic 1 OK subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 4x-4x right 1 BUG right x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 4x-4x right 2 ERROR right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:06:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 4x-4x right 3 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 0 left 1 BUG left x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 0 left 2 OK left x-4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-4x = 0 strategic 1 OK clt x-4x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:17.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 3 INITIAL_HINT -4 In the group above, x and -4x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [x]+[-4x] are 1 and -4. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms x and -4x results in -3x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -3x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x = 0 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x/-3 = 0/-3 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:07:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 0/-3 right 1 OK right 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+6y = 10+3y strategic 1 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1+6y-1 = 10+3y-1 left 1 OK left 6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y = 10+3y-1 right 1 OK right 10+3y-1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y = 10+3y-1 strategic 1 OK clt 10+3y-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 11 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 ERROR -11 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:08:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 3y+9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y = 3y+9 strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-3y = 3y+9-3y right 1 BUG right -9 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-3y = 3y+9-3y right 2 OK right 9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-3y = 9 left 1 OK left 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3y = 9 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3y/3 = 9/3 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:09:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 9/3 right 1 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+(-9y) = -8+2y strategic 1 ERROR subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+(-9y) = -8+2y strategic 2 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7+(-9y)-(-8) = -8+2y-(-8) left 1 OK left -7+(-9y)-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7-9y+8 = -8+2y-(-8) right 1 OK right -8+2y-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7-9y+8 = -8+2y+8 strategic 1 OK clt -7-9y+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  9y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:10:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -9y+1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+1 = -8+2y+8 strategic 1 OK clt -8+2y+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK +2y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 3 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+1 = 2y strategic 1 OK subtract -9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+1-(-9y) = 2y-(-9y) right 1 OK right 2y-(-9y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:11:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+1-(-9y) = 2y+9y left 1 OK left -9y+1-(-9y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+1+9y = 2y+9y strategic 1 OK clt -9y+1+9y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = 2y+9y strategic 1 OK clt 2y+9y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:12:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 11y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:13:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = 11y strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:13:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/11 = 11y/11 left 1 ERROR left 10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:13:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/11 = 11y/11 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:13:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/11 = y left 1 BUG left 11 11 is equal to 1 times 11. You need to calculate 1 divided by 11. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:14:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/11 = y left 2 OK left 0.09 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:14:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4 = 10x+(-5) strategic 1 OK subtract 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:14:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4-4 = 10x+(-5)-4 left 1 OK left -3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x = 10x+(-5)-4 right 1 OK right 10x+(-5)-4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x = 10x-5-4 strategic 1 OK clt 10x-5-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  5 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 10x+(-9) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:15:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x = 10x-9 strategic 1 ERROR add 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:00.0 HINT HINT ES_05 ES_05-6 EG60 -3x = 10x-9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 10x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 10x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x = 10x-9 strategic 3 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-10x = 10x-9-10x right 1 OK right -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-10x = -9 left 1 OK left -13x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13x = -9 strategic 1 OK divide -13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13x/-13 = -9/-13 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:16:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -9/-13 right 1 OK right 0.6923 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.28+4.35y = -6y+(-2.45) strategic 1 OK subtract -2.45 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83+4.35y = -6y strategic 1 ERROR clt -3.83+4.35y = -6y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83+4.35y = -6y strategic 2 ERROR subtract -3.83 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83+4.35y = -6y strategic 3 ERROR divide -3.83 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:52.0 HINT HINT ES_05 ES_05-7 EG61 -3.83+4.35y = -6y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:54.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.35y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:17:57.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.35y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:18:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83+4.35y = -6y strategic 5 OK subtract 4.35y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:18:17.0 HINT HINT ES_05 ES_05-7 EG61 -3.83 = -10.35y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:18:18.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE -10.35y is -10.35 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:18:21.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -10.35. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:18:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83 = -10.35y strategic 2 BUG divide 10.35 In this equation, y is multiplied by -10.35. Dividing by 10.35 leaves -y, so you still need to remove the negative sign. It is better to divide by -10.35, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:19:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.83 = -10.35y strategic 3 OK divide -10.35 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:19:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.2y+6.62 = -5.99y+(-3.1) strategic 1 OK subtract -3.1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:19:54.0 HINT HINT ES_05 ES_05-7 EG61 4.2y+9.72 = -5.99y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:19:54.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.2y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:18.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.2y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.2y+9.72 = -5.99y strategic 2 OK subtract 4.2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.72 = -10.19y strategic 1 OK divide -10.19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.52+9.27x = -4.87x+(-4.89) strategic 1 OK subtract -1.52 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 1 ERROR add 3.37 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:56.0 HINT HINT ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:20:57.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.87x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:00.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 4.87x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 3 ERROR add -4.87x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 4 ERROR add 4.87 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:25.0 HINT HINT ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:25.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 4.87x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:29.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Add 4.87x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 6 ERROR add 4.87 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 7 ERROR add -4.87 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:49.0 HINT HINT ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 8 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:50.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 5 HINT_LEVEL_CHANGE Move 4.87x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:21:54.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 6 HINT_LEVEL_CHANGE Add 4.87x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:22:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.27x = -4.87x-3.37 strategic 9 OK add 4.87x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:22:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 14.14x = -3.37 strategic 1 OK divide 14.14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:22:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.76+7.97y = 5.33+5.52y strategic 1 OK subtract 5.76 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:23:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.97y = -0.43+5.52y strategic 1 OK subtract 5.52y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:23:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.45y = -0.43 strategic 1 OK divide 2.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:23:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.79+(-3.24y) = 9.3+(-8y) strategic 1 OK subtract 6.79 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:23:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.24y = 2.51-8y strategic 1 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:23:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.76y = 2.51 strategic 1 OK divide 4.76 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.54x+(-1.84) = 2.99+(-7.33x) strategic 1 OK subtract 2.99 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.54x-4.83 = -7.33x strategic 1 ERROR add 8.54x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.54x-4.83 = -7.33x strategic 2 ERROR subtract 8.54 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:28.0 HINT HINT ES_05 ES_05-7 EG61 8.54x-4.83 = -7.33x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:29.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.54x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:32.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.54x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.54x-4.83 = -7.33x strategic 4 OK subtract 8.54x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:24:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.83 = -15.87x strategic 1 OK divide -15.87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:25:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.74+(-1.68x) = -8.88x+6.54 strategic 1 OK subtract 3.74 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:25:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.68x = -8.88x+2.8 strategic 1 OK add 8.88x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:26:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.2x = 2.8 strategic 1 OK divide 7.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:26:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.28+(-0.93y) = 5.52y+8.91 strategic 1 BUG subtract 3.28 Since -3.28 is negative, you should add to remove it from the both side. Erase your last step and add 3.28 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:26:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.28+(-0.93y) = 5.52y+8.91 strategic 2 OK subtract -3.28 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.93y = 5.52y+12.19 strategic 1 ERROR add 5.52y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:10.0 HINT HINT ES_05 ES_05-7 EG61 -0.93y = 5.52y+12.19 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:11.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 5.52y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:15.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 5.52y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.93y = 5.52y+12.19 strategic 3 OK subtract 5.52y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.45y = 12.19 strategic 1 OK divide -6.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.27y+(-3.82) = -3.78+(-8.38y) strategic 1 ERROR subtract 5.27 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:27:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.27y+(-3.82) = -3.78+(-8.38y) strategic 2 OK subtract -3.82 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:28:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.27y = 0.04-8.38y strategic 1 OK add 8.38y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:28:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 13.65y = 0.04 strategic 1 OK divide 13.65 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:28:17.0 HINT HINT ES_05 ES_05-7 EG61 y = 0.0029304 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:28:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.39y+(-1.65) = 3.49+(-1.68y) strategic 1 OK subtract 3.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session13 2007-04-25 14:28:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.39y-5.14 = -1.68y strategic 1 ERROR add 0.39y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:17:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.39y-5.14 = -1.68y strategic 1 ERROR add 5.14 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:17:52.0 HINT HINT ES_05 ES_05-7 EG61 0.39y-5.14 = -1.68y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:17:52.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 0.39y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:17:56.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 0.39y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.39y-5.14 = -1.68y strategic 3 OK subtract 0.39y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.14 = -2.07y strategic 1 OK divide -2.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.22y+(-5.84) = 7.01+6.47y strategic 1 OK subtract -5.84 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.22y = 12.85+6.47y strategic 1 ERROR multiply 6.47y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:43.0 HINT HINT ES_05 ES_05-7 EG61 5.22y = 12.85+6.47y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:44.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 6.47y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:48.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 6.47y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:18:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.22y = 12.85+6.47y strategic 3 OK subtract 6.47y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.25y = 12.85 strategic 1 OK divide -1.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.95+(-8.19x) = -1.94x+(-8.7) strategic 1 OK subtract -8.7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:38.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.75-8.19x = -1.94x strategic 1 ERROR subtract 8.19x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:44.0 HINT HINT ES_05 ES_05-7 EG61 7.75-8.19x = -1.94x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:44.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -8.19x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:48.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract -8.19x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:19:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.75-8.19x = -1.94x strategic 3 ERROR subtract 8.19x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:20:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.75-8.19x = -1.94x strategic 4 OK subtract -8.19x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:20:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.75 = 6.25x strategic 1 OK divide 6.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:20:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.86+(-7.45x) = -9.21x+(-1.69) strategic 1 OK subtract 9.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:20:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.45x = -9.21x-11.55 strategic 1 OK subtract -9.21x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:20:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.76x = -11.55 strategic 1 BUG divide 1.76x Dividing anything by itself will leave 1. If you divide 1.76x by 1.76, x will be left. Erase your last step and then divide by 1.76. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.76x = -11.55 strategic 2 OK divide 1.76 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.23+0.21x = -1.21+8.69x strategic 1 BUG add -7.23 To remove -7.23 from the left side, you can add a positive to it. Erase your last step and add 7.23 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:27.0 HINT HINT ES_05 ES_05-7 EG61 -7.23+0.21x = -1.21+8.69x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:27.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.69x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:31.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.69x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.23+0.21x = -1.21+8.69x strategic 3 OK subtract 8.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:50.0 HINT HINT ES_05 ES_05-7 EG61 -7.23-8.48x = -1.21 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:50.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE -7.23 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7.23 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:21:54.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can add 7.23 to both sides of the equation to eliminate the constant value of -7.23 (-7.23 + 7.23 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.23-8.48x = -1.21 strategic 2 BUG add -7.23 To remove -7.23 from the left side, you can add a positive to it. Erase your last step and add 7.23 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.23-8.48x = -1.21 strategic 3 OK add 7.23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.48x = 6.02 strategic 1 OK divide -8.48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.61+(-0.98x) = 6.63x+(-0.42) strategic 1 OK subtract 5.61 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:44.0 HINT HINT ES_05 ES_05-7 EG61 -0.98x = 6.63x-6.03 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:45.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 6.63x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:22:48.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 6.63x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:23:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.98x = 6.63x-6.03 strategic 2 OK subtract 6.63x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:23:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.61x = -6.03 strategic 1 OK divide -7.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:23:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.13y+(-0.57) = -3.89y+5.42 strategic 1 OK subtract -0.57 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:23:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.13y+(-0.57)-(-0.57) = -3.89y+5.42-(-0.57) left 1 OK left 7.13y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:24:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.13y = -3.89y+5.42-(-0.57) right 1 OK right -3.89y+5.99 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:24:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.13y = -3.89y+5.99 strategic 1 OK subtract -3.89y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:24:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.13y-(-3.89y) = -3.89y+5.99-(-3.89y) left 1 OK left 11.02y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:24:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.02y = -3.89y+5.99-(-3.89y) right 1 OK right 5.99 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:25:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.02y = 5.99 strategic 1 OK divide 11.02 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:25:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.02y/11.02 = 5.99/11.02 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:26:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 5.99/11.02 right 1 BUG right 1.839 You need to calculate 5.99 divided by 11.02, not 11.02 divided by 5.99. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:27:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 5.99/11.02 right 2 OK right 0.5435571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:28:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x+(-3.46) = 2.17x+6.12 strategic 1 BUG subtract 3.46 Since -3.46 is negative, you should add to remove it from the both side. Erase your last step and add 3.46 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:28:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x+(-3.46) = 2.17x+6.12 strategic 2 OK subtract -3.46 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:28:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x+(-3.46)-(-3.46) = 2.17x+6.12-(-3.46) left 1 OK left 4.47x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:28:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x = 2.17x+6.12-(-3.46) right 1 OK right 2.17x+9.58 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:28:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x = 2.17x+9.58 strategic 1 OK subtract 2.17x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:29:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.47x-2.17x = 2.17x+9.58-2.17x left 1 OK left 2.3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:29:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.3x = 2.17x+9.58-2.17x right 1 OK right 9.58 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:29:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.3x = 9.58 strategic 1 OK divide 2.3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:29:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.3x/2.3 = 9.58/2.3 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:29:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 9.58/2.3 right 1 ERROR right 4.16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:30:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 9.58/2.3 right 2 OK right 4.165217 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:30:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.67+(-6.6y) = -6.75+(-1.85y) strategic 1 OK subtract 4.67 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:30:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.67+(-6.6y)-4.67 = -6.75+(-1.85y)-4.67 left 1 OK left -6.6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:31:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.6y = -6.75+(-1.85y)-4.67 right 1 OK right -11.42+(-1.85y) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:31:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.6y = -11.42+(-1.85y) strategic 1 OK subtract -1.85y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:31:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.6y-(-1.85y) = -11.42+(-1.85y)-(-1.85y) left 1 OK left -4.75y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:31:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.75y = -11.42+(-1.85y)-(-1.85y) right 1 OK right -11.42 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:32:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.75y = -11.42 strategic 1 OK divide -4.75 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:32:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.75y/-4.75 = -11.42/-4.75 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:32:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -11.42/-4.75 right 1 OK right 2.40421 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:32:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -4148.09+(-116.7x) = 1.41x+2633.55 strategic 1 OK subtract -4148.09 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 1 ERROR subtract 1.14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:19.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 2 ERROR subtract 1.14 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:24.0 HINT HINT ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:24.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 1 HINT_LEVEL_CHANGE Move 1.41x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:28.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 2 HINT_LEVEL_CHANGE Subtract 1.41x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 4 ERROR subtract 1.14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:41.0 HINT HINT ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:41.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 3 HINT_LEVEL_CHANGE Move 1.41x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:45.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 4 HINT_LEVEL_CHANGE Subtract 1.41x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:33:56.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.7x = 1.41x+6781.64 strategic 6 OK subtract 1.41x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:04.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -118.11x = 6781.64 strategic 1 OK divide -118.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -47.48x+95.37 = -3.24x+(-31.22) strategic 1 OK subtract 95.37 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -47.48x = -3.24x-126.59 strategic 1 ERROR subtract 3.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:32.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -47.48x = -3.24x-126.59 strategic 2 OK subtract -3.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -44.24x = -126.59 strategic 1 OK divide -44.24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:34:53.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -7793.51+(-915.69x) = -589.02+768.57x strategic 1 OK subtract -589.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -7204.49-915.69x = 768.57x strategic 1 ERROR subtract 915.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:08.0 HINT HINT ES_05 ES_05-9 EG62A -7204.49-915.69x = 768.57x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:09.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 1 HINT_LEVEL_CHANGE Move 915.69x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:12.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 2 HINT_LEVEL_CHANGE Add 915.69x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -7204.49-915.69x = 768.57x strategic 3 OK add 915.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:32.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -7204.49 = 1684.26x strategic 1 OK divide 1684.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:37:48.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -57.13x+(-59.43) = 11.32+(-79.19x) strategic 1 OK subtract 11.32 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:38:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -57.13x-70.75 = -79.19x strategic 1 OK subtract -57.13x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:38:15.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -70.75 = -22.06x strategic 1 OK divide -22.06 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:38:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62 67.55y+64.19 = -4.08y+73.19 strategic 1 OK subtract 64.19 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:38:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 67.55y = -4.08y+9 strategic 1 OK subtract -4.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:38:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 71.63y = 9 strategic 1 OK divide 71.63 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:39:01.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 5423.56+429.06y = 114.08y+4384.26 strategic 1 OK subtract 5423.56 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:39:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 429.06y = 114.08y-1039.3 strategic 1 OK subtract 114.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:39:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 314.98y = -1039.3 strategic 1 BUG divide 314.98y Dividing anything by itself will leave 1. If you divide 314.98y by 314.98, y will be left. Erase your last step and then divide by 314.98. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:39:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 314.98y = -1039.3 strategic 2 OK divide 314.98 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:39:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 40.05+(-37.23y) = -33.75+(-47.6y) strategic 1 OK subtract 40.05 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:40:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 40.05+(-37.23y)-40.05 = -33.75+(-47.6y)-40.05 left 1 OK left -37.23y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:40:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.23y = -33.75+(-47.6y)-40.05 right 1 OK right -73.8+(-47.6y) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:40:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.23y = -73.8+(-47.6y) strategic 1 OK subtract -47.6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:41:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.23y-(-47.6y) = -73.8+(-47.6y)-(-47.6y) left 1 OK left 10.37y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:41:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 10.37y = -73.8+(-47.6y)-(-47.6y) right 1 OK right -73.8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:41:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 10.37y = -73.8 strategic 1 OK divide 10.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:41:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 10.37y/10.37 = -73.8/10.37 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -73.8/10.37 right 1 OK right -7.116682739 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:16.0 HINT HINT ES_05 ES_05-10 EG62A -354.17y+(-6151.55) = -0.63y+2920.21 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:17.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55) = -0.63y+2920.21 strategic 2 ERROR add 2920.21 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55) = -0.63y+2920.21 strategic 3 OK subtract 2920.21 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:42:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y+2920.21-2920.21 right 1 OK right -0.63y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:43:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 1 ERROR left -3231.34 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:44:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 2 BUG left -354.17y+(-3231.34) -354.17y+[-3231.34] is equal to -354.17y+[-6151.55] plus 2920.21. You need to calculate -354.17y+[-6151.55] minus 2920.21. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:45:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 3 ERROR left -354.177+(-3231.34) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:45:04.0 HINT HINT ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:45:04.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Type in -354.17y+(-6151.55)-2920.21 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:45:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 4 ERROR left -354.17+(-3231.34) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:45:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 5 ERROR left -354.17+(-6151.55)-2920.21 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:46:20.0 HINT HINT ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:46:21.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 3 HINT_LEVEL_CHANGE Type in -354.17y+(-6151.55)-2920.21 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y+(-6151.55)-2920.21 = -0.63y left 6 OK left -354.17y+(-6151.55)-2920.21 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y-6151.55-2920.21 = -0.63y strategic 1 OK clt -354.17y-6151.55-2920.21 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK -354.17y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -6151.55 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -2920.21 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:47:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 BUG -354.17y -354.17y
Perhaps you should fill in all the y terms above. BUG condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:48:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK -354.17y+(-9071.76) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:48:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y-9071.76 = -0.63y strategic 1 OK subtract -354.17y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:48:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -354.17y-9071.76-(-354.17y) = -0.63y-(-354.17y) left 1 OK left -9071.76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:49:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -9071.76 = -0.63y-(-354.17y) right 1 ERROR right 353.54 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:49:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -9071.76 = -0.63y-(-354.17y) right 2 OK right 353.54y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:49:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -9071.76 = 353.54y strategic 1 OK divide 353.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:50:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -9071.76/353.54 = 353.54y/353.54 left 1 OK left -25.6597 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:50:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -25.6597839 = 353.54y/353.54 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:51:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 6055.27+(-614.79x) = 672.66x+5553.64 strategic 1 OK subtract 6055.27 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:51:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 6055.27+(-614.79x)-6055.27 = 672.66x+5553.64-6055.27 left 1 OK left (-614.79x) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:52:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x = 672.66x+5553.64-6055.27 right 1 OK right 672.66x+(-501.63) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:52:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x = 672.66x+(-501.63) strategic 1 OK subtract 672.66x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:52:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = 672.66x+(-501.63)-672.66x left 1 ERROR left 57.93x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:53:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = 672.66x+(-501.63)-672.66x left 2 ERROR left 1931118.9623 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:53:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = 672.66x+(-501.63)-672.66x left 3 ERROR left -1287.4523 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = 672.66x+(-501.63)-672.66x left 4 ERROR left -1287.45 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = 672.66x+(-501.63)-672.66x right 1 OK right -501.63 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:20.0 HINT HINT ES_05 ES_05-10 EG62A -614.79x-672.66x = -501.63 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:21.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Type in -614.79x-672.66x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = -501.63 left 1 OK left -614.79x-672.66x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -614.79x-672.66x = -501.63 strategic 2 OK clt -614.79x-672.66x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:54:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -1287.45x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:55:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1287.45x = -501.63 strategic 1 OK divide -1287.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:55:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1287.45x/-1287.45 = -501.63/-1287.45 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:55:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x = -501.63/-1287.45 right 1 OK right 0.389630665 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:56:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -30.42+82.3x = 96.88+(-67.91x) strategic 1 OK subtract -30.42 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:56:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -30.42+82.3x-(-30.42) = 96.88+(-67.91x)-(-30.42) left 1 OK left 82.3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x = 96.88+(-67.91x)-(-30.42) right 1 OK right 96.88+(-67.91x)-(-30.42) condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x = 96.88-67.91x+30.42 strategic 1 OK clt 96.88-67.91x+30.42 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK -67.91x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 2 OK 96.88 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:57:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK +30.42 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:58:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK -67.91x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:58:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK 127.3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:58:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK -67.91x+127.3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:58:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x = -67.91x+127.3 strategic 1 OK subtract -67.91x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:59:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x-(-67.91x) = -67.91x+127.3-(-67.91x) left 1 ERROR left 150.21 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:59:34.0 HINT HINT ES_05 ES_05-10 EG62 82.3x-(-67.91x) = -67.91x+127.3-(-67.91x) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:59:35.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 1 HINT_LEVEL_CHANGE Type in 82.3x-(-67.91x) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 13:59:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x-(-67.91x) = -67.91x+127.3-(-67.91x) left 2 OK left 82.3x-(-67.91x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x+67.91x = -67.91x+127.3-(-67.91x) right 1 OK right 127.3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 82.3x+67.91x = 127.3 strategic 1 OK clt 82.3x+67.91x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 ERROR 150.21 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 3 OK 150.21x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 150.21x = 127.3 strategic 1 OK divide 150.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 150.21x/150.21 = 127.3/150.21 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = 127.3/150.21 right 1 OK right 0.847480 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:00:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y+9.49 = -9.35+88.87y strategic 1 OK subtract 9.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y+9.49-9.49 = -9.35+88.87y-9.49 right 1 OK right -9.35+88.87y-9.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y+9.49-9.49 = -9.35+88.87y-9.49 left 1 OK left -83.34y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y = -9.35+88.87y-9.49 strategic 1 OK clt -9.35+88.87y-9.49 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 BUG -9.35 -9.35
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9.35, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 2 BUG  9.35  9.35
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  9.35, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 3 OK +88.87y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -9.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -9.35 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK 88.87y condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:01:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -18.84 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:02:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 88.87y+(-18.84) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:02:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y = 88.87y-18.84 strategic 1 OK subtract 88.87y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:02:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.34y-88.87y = 88.87y-18.84-88.87y left 1 OK left -172.21y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:02:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -172.21y = 88.87y-18.84-88.87y right 1 BUG right 18.84 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:02:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -172.21y = 88.87y-18.84-88.87y right 2 OK right -18.84 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:03:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -172.21y = -18.84 strategic 1 BUG divide 172.21 In this equation, y is multiplied by -172.21. Dividing by 172.21 leaves -y, so you still need to remove the negative sign. It is better to divide by -172.21, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:03:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -172.21y = -18.84 strategic 2 OK divide -172.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:03:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -172.21y/-172.21 = -18.84/-172.21 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:03:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -18.84/-172.21 right 1 OK right 0.1094013 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:04:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 2954.86+(-871.56x) = 386.23x+(-2491.02) strategic 1 OK subtract 2954.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:04:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 2954.86+(-871.56x)-2954.86 = 386.23x+(-2491.02)-2954.86 left 1 OK left -871.56x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x = 386.23x+(-2491.02)-2954.86 right 1 ERROR right -5445.88 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x = 386.23x+(-2491.02)-2954.86 right 2 OK right 386.23x+(-2491.02)-2954.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x = 386.23x-2491.02-2954.86 strategic 1 OK clt 386.23x-2491.02-2954.86 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 OK 386.23x condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -2491.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:05:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 BUG  2954.86 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:06:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 2 BUG  2954.86 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:06:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 3 OK -2954.86 condition 1 cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:06:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -5445.88 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:06:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK 386.23x+(-5445.88) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:07:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x = 386.23x-5445.88 strategic 1 OK subtract 386.23x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:07:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x-386.23x = 386.23x-5445.88-386.23x right 1 OK right -5445.88 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:07:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x-386.23x = -5445.88 left 1 OK left -871.56x-386.23x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:07:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -871.56x-386.23x = -5445.88 strategic 1 OK clt -871.56x-386.23x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:08:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 ERROR -1257.79 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:09:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 OK -1257.79x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:09:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1257.79x = -5445.88 strategic 1 OK divide -1257.79 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:09:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1257.79x/-1257.79 = -5445.88/-1257.79 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gJnw14 session14 2007-05-04 14:09:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x = -5445.88/-1257.79 right 1 OK right 4.32972 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 4gcLyqe session0 2007-04-27 08:27:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:27:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:28:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -11.74 = 14.49x+2.49 strategic 1 OK subtract 2.49 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:28:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -14.23 = 14.49x strategic 1 OK divide 14.49 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -91x+(-68) = 8 strategic 1 OK add 68 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -91x = 76 strategic 1 OK divide -91 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -9+96y = -53 strategic 1 ERROR subtract 41 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -9+96y = -53 strategic 2 OK subtract -9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 96y = -44 strategic 1 OK divide 96 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:29:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -14.32+1.8y = 5.05 strategic 1 OK subtract -14.32 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 1.8y = 19.37 strategic 1 OK divide 1.8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -12.36+1.38x = -7.18 strategic 1 OK subtract -12.36 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 1.38x = 5.18 strategic 1 OK divide 1.38 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 116 = -3057+7350y strategic 1 OK subtract -3057 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3173 = 7350y strategic 1 OK divide 7350 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:30:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.71 = -12.84+(-6.6y) strategic 1 OK subtract -12.84 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.71-(-12.84) = -12.84+(-6.6y)-(-12.84) right 1 OK right -6.6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:31:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.71-(-12.84) = -6.6y left 1 OK left 12.13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:31:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 12.13 = -6.6y strategic 1 OK divide -6.6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:31:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 12.13/-6.6 = -6.6y/-6.6 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 12.13/-6.6 = y left 1 OK left -1.837 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:32:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 74 = -86x+57 strategic 1 OK subtract 57 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:32:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 74-57 = -86x+57-57 right 1 OK right -86x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:32:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 74-57 = -86x left 1 OK left 17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:32:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 17 = -86x strategic 1 OK divide -86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 17/-86 = -86x/-86 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:33:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 17/-86 = x left 1 OK left -0.1976 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:33:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -13.25 = -13.65+(-5.65x) strategic 1 OK subtract -13.65 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -13.25-(-13.65) = -13.65+(-5.65x)-(-13.65) right 1 OK right -5.65x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:34:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -13.25-(-13.65) = -5.65x left 1 OK left 0.4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:34:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 0.4 = -5.65x strategic 1 OK divide -5.65 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:34:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 0.4/-5.65 = -5.65x/-5.65 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:34:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 0.4/-5.65 = x left 1 OK left -0.0707 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -875 = -791+394/y strategic 1 OK add 791 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -84 = 394/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -84y = 394 strategic 1 OK divide -84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 70 = -40+61/x strategic 1 BUG add -40 To remove -40 from the right side, you can add a positive to it. Erase your last step and add 40 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 70 = -40+61/x strategic 2 OK add 40 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:35:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 110 = 61/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 110x = 61 strategic 1 OK divide 110 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 282 = -658/y+734 strategic 1 BUG add 734 Since 734 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 734 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 282 = -658/y+734 strategic 2 OK subtract 734 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -452 = -658/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -452y = -658 strategic 1 ERROR divide -454 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:36:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -452y = -658 strategic 2 OK divide -452 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 42 = 324/x+(-352) strategic 1 OK subtract -352 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 394 = 324/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 394x = 324 strategic 1 OK divide 394 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x+(-55) = 59 strategic 1 OK subtract -55 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x+(-55)-(-55) = 59-(-55) left 1 OK left -34/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x = 59-(-55) right 1 OK right 114 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:37:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x = 114 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x*x = 114x left 1 ERROR left 34x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x*x = 114x left 2 BUG left 34 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/x*x = 114x left 3 OK left -34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34 = 114x right 1 OK right 114x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34 = 114x strategic 1 OK divide 114 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/114 = 114x/114 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/114 = x left 1 ERROR left -0.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/114 = x left 2 ERROR left 34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:56.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 -34/114 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:38:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in -34/114 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:39:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -34/114 = x left 3 OK left -0.298 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:39:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/y+890 = -288 strategic 1 OK subtract 890 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:39:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/y+890-890 = -288-890 left 1 OK left -620/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:39:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/y = -288-890 right 1 OK right -1178 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:39:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/y = -1178 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/y*y = -1178y left 1 OK left -620 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620 = -1178y right 1 BUG right 1178y You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620 = -1178y right 2 OK right -1178y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620 = -1178y strategic 1 OK divide -1178 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/-1178 = -1178y/-1178 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:40:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -620/-1178 = y left 1 OK left 0.526 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:41:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -5+(-73/x) = -89 strategic 1 OK subtract -5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:41:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -5+(-73/x)-(-5) = -89-(-5) left 1 OK left -73/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/x = -89-(-5) right 1 OK right -84 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/x = -84 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/x*x = -84x right 1 OK right -84x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/x*x = -84x left 1 OK left -73 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73 = -84x strategic 1 OK divide -84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:42:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/-84 = -84x/-84 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:43:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/-84 = x left 1 BUG left -.869 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:43:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/-84 = x left 2 BUG left -0.869 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:43:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -73/-84 = x left 3 OK left 0.869 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:43:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -83+99/x = -28 strategic 1 OK subtract -83 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:43:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -83+99/x-(-83) = -28-(-83) left 1 OK left 99/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x = -28-(-83) right 1 OK right 55 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x = 55 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = 55x left 1 OK left 99 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99 = 55x right 1 OK right 55x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99 = 55x strategic 1 OK divide 55 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/55 = 55x/55 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/55 = x left 1 OK left 1.8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 2y+7 = -6y+7 strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:44:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 2y = -6y strategic 1 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:45:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 8y = 0 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:45:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y+(-9) = -2+1y strategic 1 OK subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:45:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 7+y strategic 1 ERROR add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:45:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 7+y strategic 2 ERROR add 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 7+y strategic 3 ERROR add y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:31.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 6y = 7+y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:33.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:36.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 7+y strategic 5 OK subtract y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = 7 strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:46:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = 7 strategic 2 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:47:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+3y = -7y+3 strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:47:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = -7y+5 strategic 1 ERROR subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:47:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = -7y+5 strategic 2 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:47:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10y = 5 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:47:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9+(-3y) = 6+5y strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:48:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y = -3+5y strategic 1 ERROR add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:48:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y = -3+5y strategic 2 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:48:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y = -3 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:48:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+8y = 9+8y strategic 1 OK subtract -5 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:48:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8y = 14+8y strategic 1 OK subtract 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 14 strategic 1 BUG divide 14 You want to isolate -something- by removing 14 from the right side. 14 is added to -something-. What is the opposite of addition? BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:04.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 0 = 14 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:14.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Since 0 never equals 14, no value of y will make this equation true. -5+8y is never equal to 9+8y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x+(-2) = 2+(-7x) strategic 1 ERROR subtract -3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x+(-2) = 2+(-7x) strategic 2 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:49:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x = 4-7x strategic 1 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y+(-4) = -4+8y strategic 1 OK subtract -4 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 8y strategic 1 BUG divide -6 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 8y strategic 2 ERROR add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:41.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -6y = 8y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:42.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:46.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 8y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 8y strategic 4 OK subtract 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:50:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -14y = 0 strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9+1y = 4+(-1y) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 y = -5-y strategic 1 ERROR add -5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:13.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 y = -5-y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:14.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 y = -5-y strategic 3 OK add y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2y = -5 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x+(-4) = -10+(-9x) strategic 1 OK subtract -4 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -6-9x strategic 1 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 18x = -6 strategic 1 OK divide 18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y+1 = 7y+(-10) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 7y-11 strategic 1 ERROR add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 7y-11 strategic 2 ERROR add 11 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:51:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 7y-11 strategic 3 ERROR add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 7y-11 strategic 4 ERROR subtract 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 7y-11 strategic 5 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y = -11 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y+3 = -10y+8 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y = -10y+5 strategic 1 OK subtract -10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 5 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+10y = 0+(-8y) strategic 1 OK subtract -6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:52:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10y = -8y+6 strategic 1 ERROR add -8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10y = -8y+6 strategic 2 ERROR subtract 6 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10y = -8y+6 strategic 3 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 18y = 6 strategic 1 OK divide 18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+9y = 6y+(-7) strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9y = 6y-14 strategic 1 ERROR add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9y = 6y-14 strategic 2 OK subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:53:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = -14 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0+6x = -10+(-5x) strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x = -10-5x strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 11x = -10 strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+8 = -7+6x strategic 1 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = -15+6x strategic 1 ERROR add 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = -15+6x strategic 2 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x = -15 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:54:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6+(-8y) = -5+(-4y) strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:55:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y = -11-4y strategic 1 OK subtract -4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:55:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y = -11 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:55:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+6y = -5+(-5y) strategic 1 OK subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:55:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+6y-6y = -5+(-5y)-6y left 1 ERROR left 6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+6y = -5+(-5y) strategic 2 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+6y-6 = -5+(-5y)-6 left 1 OK left 6y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y = -5+(-5y)-6 right 1 ERROR right (-5y) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 6y = -5+(-5y)-6 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:38.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -5+(-5y)-6 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:56:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y = -5+(-5y)-6 right 2 OK right -5+(-5y)-6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y = -5-5y-6 strategic 1 OK add 5y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y+5y = -5-5y-6+5y right 1 OK right -5-6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y+5y = -5-6 left 1 OK left 6y+5y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 6y+5y = -5-6 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:57:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y+5y = -5-6 strategic 2 OK clt 6y+5y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 11y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11y = -5-6 strategic 1 OK clt -5-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -11 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11y = -11 strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11y/11 = -11/11 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -11/11 right 1 OK right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:58:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-6) = 1x+1 strategic 1 OK subtract -6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-6)-(-6) = 1x+1-(-6) left 1 OK left -7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1x+1-(-6) right 1 OK right 1x+1-(-6) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1x+1+6 strategic 1 OK unnec-elems -7x=1x+1+6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = x+1+6 strategic 1 OK subtract x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x left 1 BUG left -7 You forgot the x. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 08:59:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x left 2 BUG left -7x You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x left 3 ERROR left 7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:26.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -7x-x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x left 4 ERROR left -7-x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x left 5 OK left -7x-x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = x+1+6-x right 1 OK right 1+6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-x = 1+6 strategic 1 OK clt -7x-x condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:00:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR -7x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR 7x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 ERROR -6x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 INITIAL_HINT -6x In the group above, -7x and -x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:10.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [-7x]+[-x] are -7 and -1. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:13.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms -7x and -x results in -8x HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 INITIAL_HINT -6x Combining the like terms -7x and -x results in -8x HINT 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 OK -8x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 1+6 strategic 1 OK clt 1+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 7 OK 7 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -8x = 7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:30.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE -8x is -8 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -8. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 7 strategic 2 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x/-8 = 7/-8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:01:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 7/-8 right 1 ERROR right -0875 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:02:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 7/-8 right 2 OK right -0.875 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:02:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+2 = -7+(-4y) strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:02:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+2-2 = -7+(-4y)-2 left 1 OK left -5y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7+(-4y)-2 right 1 OK right -7+(-4y)-2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7-4y-2 strategic 1 OK add 4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+4y = -7-4y-2+4y left 1 OK left -5y+4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+4y = -7-4y-2+4y right 1 OK right -7-2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+4y = -7-2 strategic 1 OK clt -5y+4y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -1y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:03:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = -7-2 strategic 1 OK clt -7-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:04:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:04:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y = -9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:04:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = -9 strategic 2 ERROR distribute -y = -9 strategic condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = -9 strategic 3 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y/-1 = -9/-1 left 1 OK left y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9/-1 right 1 ERROR right -8 condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -9/-1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in -9/-1 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:05:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9/-1 right 2 OK right 9 condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:06:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+3 = -9+(-2x) strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:06:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+3-3 = -9+(-2x)-3 left 1 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:06:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -9+(-2x)-3 right 1 OK right -9+(-2x)-3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:07:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -9-2x-3 strategic 1 OK add 2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:07:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+2x = -9-2x-3+2x left 1 OK left 4x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:07:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -9-2x-3+2x right 1 OK right -9-3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = -9-3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -9-3 strategic 2 OK clt -9-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -12 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x/4 = -12/4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -12/4 right 1 OK right -3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:08:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-3) = 1+(-9x) strategic 1 OK subtract -3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:09:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-3)-(-3) = 1+(-9x)-(-3) left 1 OK left -7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:09:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1+(-9x)-(-3) right 1 OK right 1+(-9x)-(-3) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:09:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1-9x+3 strategic 1 OK clt 1-9x+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:09:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1-9x+3 strategic 2 OK add 9x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:09:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+9x = 1-9x+3+9x left 1 OK left -7x+9x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+9x = 1-9x+3+9x right 1 OK right 1+3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+9x = 1+3 strategic 1 OK clt -7x+9x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 2x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 1+3 strategic 1 OK clt 1+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 4 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x/2 = 4/2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4/2 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4+(-2x) = 1+(-7x) strategic 1 OK subtract -4 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:10:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4+(-2x)-(-4) = 1+(-7x)-(-4) left 1 OK left -2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 1+(-7x)-(-4) right 1 OK right 1+(-7x)-(-4) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 1-7x+4 strategic 1 OK add 7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x+7x = 1-7x+4+7x left 1 OK left -2x+7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x+7x = 1-7x+4+7x right 1 OK right 1+4 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x+7x = 1+4 strategic 1 OK clt -2x+7x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 5x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = 1+4 strategic 1 OK clt 1+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 5 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = 5 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x/5 = 5/5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 5/5 right 1 OK right 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:12:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+8 = -1x+(-8) strategic 1 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:12:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+8-8 = -1x+(-8)-8 left 1 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:12:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -1x+(-8)-8 right 1 OK right -1x+(-8)-8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:12:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -1x-8-8 strategic 1 OK add 1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:12:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+1x = -1x-8-8+1x left 1 OK left 3x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+1x right 1 ERROR right 1x-8-8+1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+1x right 2 OK right -1x-8-8+1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+1x strategic 1 OK unnec-elems 3x=-1x-8-8+1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+x strategic 1 BUG add 1x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+x strategic 2 BUG subtract -1x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:13:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+x strategic 3 OK clt -1x-8-8+x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -1x-8-8+x strategic 4 OK clt -1x-8-8+x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK -1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 OK +x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x = -1x-8-8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -1x-8-8 strategic 3 OK clt -1x-8-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK -1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:14:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 OK -1x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -16 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -1x+-16 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x = -x-16 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Add x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = -x-16 strategic 2 OK add x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+x = -x-16+x left 1 OK left 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -x-16+x right 1 BUG right 16 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -x-16+x right 2 OK right -16 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -16 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x/3 = -16/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:15:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -16/3 right 1 OK right -5.3333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:16:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y+9 = -4+4y strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:16:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y+9-9 = -4+4y-9 left 1 OK left 1y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:16:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -4+4y-9 right 1 OK right -4+4y-9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:16:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -4+4y-9 strategic 1 OK unnec-elems 1y=-4+4y-9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:16:59.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -4+4y-9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4+4y-9 strategic 2 OK clt -4+4y-9 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 BUG +4y +4y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +4y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK +4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -13 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR 4y+12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR 4y+13 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:17:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 4y+-13 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4y-13 strategic 1 ERROR add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:13.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = 4y-13 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:13.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4y-13 strategic 3 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y-4y = 4y-13-4y left 1 BUG left 3y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y-4y = 4y-13-4y left 2 OK left -3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = 4y-13-4y right 1 BUG right 13 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = 4y-13-4y right 2 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -13 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y/-3 = -13/-3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:18:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -13/-3 right 1 OK right 4.3333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:19:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+(-5) = -6+(-7y) strategic 1 OK subtract -5 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:19:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+(-5)-(-5) = -6+(-7y)-(-5) left 1 OK left 7y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:19:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -6+(-7y)-(-5) right 1 OK right -6+(-7y)-(-5) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:19:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7y = -6-7y+5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -6-7y+5 strategic 2 OK clt -6-7y+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG  7y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG  6  6
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  6, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK -7y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -6 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +5 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -7y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -7y+-1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7y = -7y-1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 7y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:20:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -7y-1 strategic 2 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = -7y-1+7y left 1 OK left 14y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y = -7y-1+7y right 1 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y = -1 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y/14 = -1/14 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/14 right 1 OK right -0.071 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+(-2y) = -3+(-9y) strategic 1 OK subtract -1 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+(-2y)-(-1) = -3+(-9y)-(-1) left 1 OK left -2y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:21:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3+(-9y)-(-1) right 1 OK right -3+(-9y)-(-1) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:22:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3-9y+1 strategic 1 OK subtract -9y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:22:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y-(-9y) = -3-9y+1-(-9y) left 1 OK left 7y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:22:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -3-9y+1-(-9y) right 1 OK right -3+1 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:22:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -3+1 strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:22:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y/7 = (-3+1)/7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:23:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 right 1 ERROR right -0.297 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 right 2 BUG right -0.285 Just divide -3+1 by 7. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:23:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 right 3 BUG right -0.28571 Just divide -3+1 by 7. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:23:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 right 4 ERROR right -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:24:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:24:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in (-3+1)/7 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:24:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 right 5 OK right (-3+1)/7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:25:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 strategic 2 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:25:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:25:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-3+1)/7 strategic 3 OK clt -3+1 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:25:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:25:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-2) = -2x+3 strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:26:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-2)-(-2) = -2x+3-(-2) left 1 OK left -7x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:26:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = -2x+3-(-2) right 1 OK right -2x+3-(-2) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:27:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = -2x+3+2 strategic 1 OK subtract -2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-(-2x) = -2x+3+2-(-2x) left 1 OK left -7x-(-2x) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+2x = -2x+3+2-(-2x) right 1 OK right 3+2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+2x = 3+2 strategic 1 OK clt -7x+2x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -5x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 3+2 strategic 1 OK clt 3+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 5 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 5 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x/-5 = 5/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 5/-5 right 1 OK right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+8 = -2x+(-9) strategic 1 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:28:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+8-8 = -2x+(-9)-8 left 1 OK left -6x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:29:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = -2x+(-9)-8 right 1 OK right -2x+(-9)-8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = -2x-9-8 strategic 1 OK subtract -2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:29:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x-(-2x) = -2x-9-8-(-2x) left 1 OK left -6x-(-2x) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+2x = -2x-9-8-(-2x) right 1 OK right -9-8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:29:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+2x = -9-8 strategic 1 OK clt -6x+2x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -4x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x = -9-8 strategic 1 OK clt -9-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -17 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x = -17 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x/-4 = -17/-4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -17/-4 right 1 OK right 4.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8+(-4y) = -5+8y strategic 1 BUG subtract -8 To remove 8 from the both side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8+(-4y) = -5+8y strategic 2 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8+(-4y)-8 = -5+8y-8 left 1 OK left -4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -5+8y-8 right 1 OK right -5+8y-8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -5+8y-8 strategic 1 BUG add 8y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -5+8y-8 strategic 2 OK subtract 8y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-8y = -5+8y-8-8y left 1 OK left -12y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12y = -5+8y-8-8y right 1 OK right -5-8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12y = -5-8 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12y/-12 = (-5-8)/-12 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-8)/-12 right 1 OK right (-5-8)/-12 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-8)/-12 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:53.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:32:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-8)/-12 strategic 2 OK rf (-5-8)/-12 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:33:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 1.0833 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:33:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-2x) = 6+3x strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:33:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-2x)-(-2) = 6+3x-(-2) left 1 OK left -2x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:33:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 6+3x-(-2) right 1 OK right 6+3x-(-2) condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:34:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 6+3x+2 strategic 1 OK subtract 3x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:34:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x-3x = 6+3x+2-3x left 1 OK left -2x-3x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:34:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x-3x = 6+3x+2-3x right 1 OK right 6+2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:34:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x-3x = 6+2 strategic 1 OK clt -2x-3x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR -5 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -5x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 6+2 strategic 1 OK clt 6+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 8 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x/-5 = 8/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session0 2007-04-27 09:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 8/-5 right 1 OK right -1.6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3+(-1y) = -1y+8 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-1y) = -1y+8 strategic 2 OK rds 3+(-1y) = -1y+8 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-1y = -1y+8 strategic 1 BUG subtract -1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3-1y = -1y+8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move -1y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:53.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-1y = -1y+8 strategic 3 OK add y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-1y+y = -1y+8+y left 1 OK left 3-1y+y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-1y+y = -1y+8+y right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-1y+y = 8 strategic 1 OK unnec-elems 3-1y+y=8 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-y+y = 8 strategic 1 OK clt 3-y+y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG +y +y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG -y -y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:28:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 BUG -y -y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 OK 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:29:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:29:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 ERROR -y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3 = 8 strategic 1 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3 = 8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Since 3 never equals 8, no value of y will make this equation true. 3+[-1y] is never equal to -1y+8. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Select 'Classify Solution: No Solution'. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:30:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.93x+6.65 = -1.51x+(-0.77) strategic 1 OK subtract 6.65 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:31:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.93x = -1.51x-7.42 strategic 1 OK add 1.51x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:31:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.42x = -7.42 strategic 1 OK divide -5.42 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:32:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25+8.62y = 1.33+5.47y strategic 1 ERROR add 8.62 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25+8.62y = 1.33+5.47y strategic 2 ERROR add 8.62 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 0.25+8.62y = 1.33+5.47y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:09.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.62y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:12.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.62y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25+8.62y = 1.33+5.47y strategic 4 ERROR subtract 8.62 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:33:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25+8.62y = 1.33+5.47y strategic 5 OK subtract 8.62y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25 = 1.33-3.15y strategic 1 ERROR subtract 3.15y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:07.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 0.25 = 1.33-3.15y strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 1.33 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1.33 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:11.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 1.33 from both sides of the equation to eliminate the constant value of 1.33 (1.33 - 1.33 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.25 = 1.33-3.15y strategic 3 OK subtract 1.33 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.08 = -3.15y strategic 1 OK divide -3.15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.98y+2.18 = -0.22y+9.59 strategic 1 OK subtract 8.98y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:36:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.18 = -9.2y+9.59 strategic 1 OK subtract -9.2y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:37:03.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.18+9.2y = 9.59 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:37:05.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE 2.18 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2.18 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:37:09.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE You can subtract 2.18 from both sides of the equation to eliminate the constant value of 2.18 (2.18 - 2.18 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:37:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.18+9.2y = 9.59 strategic 2 OK subtract 2.18 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:37:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.2y = 7.41 strategic 1 OK divide 9.2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:38:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x+(-8.58) strategic 1 ERROR add 6.67 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:38:52.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x+(-8.58) strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:38:53.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:38:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x+(-8.58) strategic 3 ERROR clt -0.07x+6.97 = -3.65x+(-8.58) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:01.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x+(-8.58) strategic 4 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:01.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x+(-8.58) strategic 5 OK rds -0.07x+6.97 = -3.65x+(-8.58) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x-8.58 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:10.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 3.65x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:13.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Add 3.65x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x-8.58 strategic 2 BUG add 6.97 Since 6.97 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6.97 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:26.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x-8.58 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:27.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE Move 3.65x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:31.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 6 HINT_LEVEL_CHANGE Add 3.65x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.07x+6.97 = -3.65x-8.58 strategic 4 OK add 3.65x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:42.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.58x+6.97 = -8.58 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:43.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 7 HINT_LEVEL_CHANGE 6.97 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6.97 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:39:47.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 8 HINT_LEVEL_CHANGE You can subtract 6.97 from both sides of the equation to eliminate the constant value of 6.97 (6.97 - 6.97 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.58x+6.97 = -8.58 strategic 2 OK subtract 6.97 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.58x = -15.55 strategic 1 OK divide 3.58 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:41.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 7.95y+(-7.88) = -2.9+(-0.68y) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:42.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.95y+(-7.88) = -2.9+(-0.68y) strategic 2 OK rds 7.95y+(-7.88) = -2.9+(-0.68y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:50.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 7.95y-7.88 = -2.9-0.68y strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:51.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Move 0.68y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:40:55.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Add 0.68y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.95y-7.88 = -2.9-0.68y strategic 2 OK add 0.68y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:19.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 8.63y-7.88 = -2.9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:20.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE -7.88 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7.88 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:23.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE You can add 7.88 to both sides of the equation to eliminate the constant value of -7.88 (-7.88 + 7.88 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.63y-7.88 = -2.9 strategic 2 OK add 7.88 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.63y = 4.98 strategic 1 OK divide 8.63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.9y+7.48 = 8.88y+6.41 strategic 1 ERROR rds -1.9y+7.48 = 8.88y+6.41 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:53.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -1.9y+7.48 = 8.88y+6.41 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:41:54.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -1.9y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:01.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 1.9y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.9y+7.48 = 8.88y+6.41 strategic 3 OK add 1.9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:11.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 7.48 = 10.78y+6.41 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:11.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 6.41 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 6.41 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 6.41 from both sides of the equation to eliminate the constant value of 6.41 (6.41 - 6.41 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.48 = 10.78y+6.41 strategic 2 OK subtract 6.41 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.07 = 10.78y strategic 1 OK divide 10.78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:48.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -2.31y+2.94 = 8.93y+6.88 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:42:58.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -2.31y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:02.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 2.31y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.31y+2.94 = 8.93y+6.88 strategic 2 OK add 2.31y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:10.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.94 = 11.24y+6.88 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:11.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 6.88 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 6.88 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:14.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 6.88 from both sides of the equation to eliminate the constant value of 6.88 (6.88 - 6.88 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.94 = 11.24y+6.88 strategic 2 OK subtract 6.88 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:43:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.94 = 11.24y strategic 1 OK divide 11.24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:44:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.27+(-1.41x) = -8.45x+(-9.59) strategic 1 OK rds 3.27+(-1.41x) = -8.45x+(-9.59) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:44:26.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.27-1.41x = -8.45x-9.59 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:44:37.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.45x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:44:40.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 8.45x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:44:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.27-1.41x = -8.45x-9.59 strategic 2 OK add 8.45x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:04.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.27+7.04x = -9.59 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:09.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 3.27 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3.27 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:12.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 3.27 from both sides of the equation to eliminate the constant value of 3.27 (3.27 - 3.27 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.27+7.04x = -9.59 strategic 2 OK subtract 3.27 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.04x = -12.86 strategic 1 OK divide 7.04 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.71+2.96x = 7.25+(-1.39x) strategic 1 OK rds 2.71+2.96x = 7.25+(-1.39x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:46.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.71+2.96x = 7.25-1.39x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:47.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 2.96x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:45:51.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 2.96x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:46:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.71+2.96x = 7.25-1.39x strategic 2 OK subtract 2.96x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:46:32.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.71 = 7.25-4.35x strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:46:33.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 7.25 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7.25 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:46:36.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 7.25 from both sides of the equation to eliminate the constant value of 7.25 (7.25 - 7.25 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:46:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.71 = 7.25-4.35x strategic 2 OK subtract 7.25 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.54 = -4.35x strategic 1 OK divide -4.35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.71+6.51x = -4.39x+3.23 strategic 1 ERROR rds 3.71+6.51x = -4.39x+3.23 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:10.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.71+6.51x = -4.39x+3.23 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:12.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 6.51x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 6.51x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.71+6.51x = -4.39x+3.23 strategic 3 OK subtract 6.51x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:35.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.71 = -10.9x+3.23 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:35.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 3.23 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 3.23 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:39.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 3.23 from both sides of the equation to eliminate the constant value of 3.23 (3.23 - 3.23 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.71 = -10.9x+3.23 strategic 2 OK subtract 3.23 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:47:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.48 = -10.9x strategic 1 OK divide -10.9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:17.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -2.51+0.05y = 9.53y+2.71 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:18.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 9.53y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:23.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 9.53y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.51+0.05y = 9.53y+2.71 strategic 2 ERROR subtract 9.53 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.51+0.05y = 9.53y+2.71 strategic 3 OK subtract 9.53y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:49.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -2.51-9.48y = 2.71 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:50.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE -2.51 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2.51 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:49:53.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can add 2.51 to both sides of the equation to eliminate the constant value of -2.51 (-2.51 + 2.51 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.51-9.48y = 2.71 strategic 2 OK add 2.51 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.48y = 5.22 strategic 1 OK divide -9.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.43y+(-6.42) = 4.63+7.25y strategic 1 OK subtract -6.42 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.43y = 11.05+7.25y strategic 1 ERROR add 11.05 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.43y = 11.05+7.25y strategic 2 ERROR add 7.25y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:50:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.43y = 11.05+7.25y strategic 3 OK subtract 7.25y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:51:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -12.68y = 11.05 strategic 1 OK divide -12.68 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:52:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.31+3.13x = -7.02+3.99x strategic 1 BUG add 6.31 Since 6.31 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6.31 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:52:10.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 6.31+3.13x = -7.02+3.99x strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:52:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.99x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:52:18.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 3.99x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:52:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.31+3.13x = -7.02+3.99x strategic 3 OK subtract 3.99x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.31-0.86x = -7.02 strategic 1 ERROR subtract 0.86x condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:16.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 6.31-0.86x = -7.02 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:18.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 6.31 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6.31 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:23.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 6.31 from both sides of the equation to eliminate the constant value of 6.31 (6.31 - 6.31 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.31-0.86x = -7.02 strategic 3 OK subtract 6.31 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:54:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.86x = -13.33 strategic 1 OK divide -0.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:13.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 5.72x+(-2.67) = 3.62+(-6.83x) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.72x+(-2.67) = 3.62+(-6.83x) strategic 2 OK rds 5.72x+(-2.67) = 3.62+(-6.83x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:24.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 5.72x-2.67 = 3.62-6.83x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:25.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Move 6.83x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:29.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Add 6.83x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:55:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.72x-2.67 = 3.62-6.83x strategic 2 OK add 6.83x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:56:52.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 12.55x-2.67 = 3.62 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:56:53.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE -2.67 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2.67 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:56:57.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE You can add 2.67 to both sides of the equation to eliminate the constant value of -2.67 (-2.67 + 2.67 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 12.55x-2.67 = 3.62 strategic 2 OK add 2.67 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 12.55x = 6.29 strategic 1 OK divide 12.55 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:44.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -3.48+3.08x = -0.08+3.31x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:44.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.31x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:48.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 3.31x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:57:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.48+3.08x = -0.08+3.31x strategic 2 OK subtract -3.48 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:02.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.08x = 3.4+3.31x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:03.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 3.31x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Subtract 3.31x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.08x = 3.4+3.31x strategic 2 OK subtract 3.31x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.23x = 3.4 strategic 1 OK divide -0.23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:58:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.9x+(-2.87) = -6.1x+(-4.45) strategic 1 OK subtract -2.87 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:59:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.9x = -6.1x-1.58 strategic 1 OK subtract -6.1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 08:59:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 14x = -1.58 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:28.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 2.4y+(-9.86) = 4.88y+(-1.89) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:30.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y+(-9.86) = 4.88y+(-1.89) strategic 2 OK rds 2.4y+(-9.86) = 4.88y+(-1.89) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:37.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86 = 4.88y-1.89 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:38.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Move 4.88y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:41.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Subtract 4.88y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:00:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86 = 4.88y-1.89 strategic 2 OK subtract 4.88y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86-4.88y = 4.88y-1.89-4.88y left 1 OK left 2.4y-9.86-4.88y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86-4.88y = 4.88y-1.89-4.88y right 1 BUG right 1.89 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86-4.88y = 4.88y-1.89-4.88y right 2 OK right -1.89 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:21.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86-4.88y = -1.89 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:23.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.4y-9.86-4.88y = -1.89 strategic 2 OK clt 2.4y-9.86-4.88y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK 2.4y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 1 BUG -9.86 -9.86
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9.86, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 2 BUG  4.88y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 BUG -4.88y -4.88y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4.88y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 BUG  4.88y  4.88y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  4.88y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 3 BUG  4.88y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 4 OK -4.88y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:01:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 3 OK -9.86 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:02:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 ERROR -2.48 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:02:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK -2.48y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:02:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -9.86 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -2.48y+-9.86 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:14.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86 = -1.89 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:15.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 5 HINT_LEVEL_CHANGE -9.86 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9.86 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:27.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 6 HINT_LEVEL_CHANGE You can add 9.86 to both sides of the equation to eliminate the constant value of -9.86 (-9.86 + 9.86 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86 = -1.89 strategic 2 OK add 9.86 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86+9.86 = -1.89+9.86 left 1 OK left -2.48y-9.86+9.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:03:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86+9.86 = -1.89+9.86 right 1 BUG right -1.89 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86+9.86 = -1.89+9.86 right 2 OK right -1.89+9.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:13.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86+9.86 = -1.89+9.86 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:14.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y-9.86+9.86 = -1.89+9.86 strategic 2 OK clt -2.48y-9.86+9.86 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 2 BUG  2.48y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 4 BUG  2.48y  2.48y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  2.48y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 5 BUG -2.48y -2.48y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2.48y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 3 BUG -9.86 -9.86
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9.86, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 6 BUG  9.86 Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 7 OK -9.86 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 4 OK -2.48y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +9.86 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 3 ERROR -2.48 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:04:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 4 OK -2.48y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:05:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK -2.48y+0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:05:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y+0 = -1.89+9.86 strategic 1 OK unnec-elems -2.48y+0=-1.89+9.86 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:05:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y+0 = -1.89+9.86 strategic 2 OK clt -1.89+9.86 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:05:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK 7.97 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:19.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -2.48y+0 = 7.97 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:20.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 8 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y+0 = 7.97 strategic 2 OK clt -2.48y+0 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 8 OK +0 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 5 OK -2.48y condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 OK -2.48y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y = 7.97 strategic 1 OK divide -2.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:06:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.48y/-2.48 = 7.97/-2.48 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:07:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 7.97/-2.48 right 1 OK right -3.2137 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:07:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x+(-0.14) = -0.39x+(-9.21) strategic 1 OK rds -4.23x+(-0.14) = -0.39x+(-9.21) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:08:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14 = -0.39x-9.21 strategic 1 ERROR add 0.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:08:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14 = -0.39x-9.21 strategic 2 ERROR add 0.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:08:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14 = -0.39x-9.21 strategic 3 ERROR subtract -0.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:09:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x+(-0.14) = -0.39x+(-9.21) strategic 2 OK rds -4.23x+(-0.14) = -0.39x+(-9.21) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:09:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14 = -0.39x-9.21 strategic 4 ERROR subtract 0.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:10:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14 = -0.39x-9.21 strategic 5 OK add 4.23x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:10:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14+4.23x = -0.39x-9.21+4.23x left 1 BUG left 0.14 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:10:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.23x-0.14+4.23x = -0.39x-9.21+4.23x left 2 OK left -0.14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:12:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14 = -0.39x-9.21+4.23x right 1 OK right -0.39x-9.21+4.23x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:33.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.14 = -0.39x-9.21+4.23x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:34.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14 = -0.39x-9.21+4.23x strategic 2 OK clt -0.39x-9.21+4.23x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK -0.39x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -9.21 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:14:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x2R1 strategic 1 OK +4.23x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:15:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 ERROR 3.84 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:15:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 2 OK 3.84x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:15:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -9.21 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:15:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 3.84x+-9.21 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:15:58.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.14 = 3.84x-9.21 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:16:00.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE -9.21 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9.21 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:16:03.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE You can add 9.21 to both sides of the equation to eliminate the constant value of -9.21 (-9.21 + 9.21 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:16:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14 = 3.84x-9.21 strategic 2 OK add 9.21 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:16:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14+9.21 = 3.84x-9.21+9.21 left 1 OK left -0.14+9.21 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14+9.21 = 3.84x-9.21+9.21 right 1 OK right 3.84x-9.21+9.21 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:25.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.14+9.21 = 3.84x-9.21+9.21 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:26.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.14+9.21 = 3.84x-9.21+9.21 strategic 2 OK clt -0.14+9.21 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 9.07 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.07 = 3.84x-9.21+9.21 strategic 1 OK clt 3.84x-9.21+9.21 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 2 BUG -9.21 -9.21
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9.21, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:17:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 OK -9.21 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +9.21 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 3 OK 3.84x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 3 OK 3.84x condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK 3.84x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.07 = 3.84x strategic 1 OK divide 3.84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:18:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.07/3.84 = 3.84x/3.84 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:19:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.07/3.84 = x left 1 OK left 2.36 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:19:26.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 6.29+(-7.14x) = 4.75x+(-9.77) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:19:26.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:19:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.29+(-7.14x) = 4.75x+(-9.77) strategic 2 OK rds 6.29+(-7.14x) = 4.75x+(-9.77) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:20:00.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 6.29-7.14x = 4.75x-9.77 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:20:02.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Move 4.75x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:20:06.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Subtract 4.75x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:20:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.29-7.14x = 4.75x-9.77 strategic 2 ERROR subtract 4.75 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4gcLyqe session1 2007-05-04 09:20:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.29-7.14x = 4.75x-9.77 strategic 3 OK subtract 4.75x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -31.14y+(-55.42) = -53.17 strategic 1 ERROR distribute -31.14y+(-55.42) = -53.17 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:54.0 HINT HINT HW_CONDN2 HW_CONDN2-1a EG42 -31.14y+(-55.42) = -53.17 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:26:55.0 HINT HINT HW_CONDN2 HW_CONDN2-1a EG42 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:27:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -31.14y+(-55.42) = -53.17 strategic 3 OK rds -31.14y+(-55.42) = -53.17 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:27:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -31.14y-55.42 = -53.17 strategic 1 OK add 55.42 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:27:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -31.14y = 2.25 strategic 1 OK divide -31.14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:27:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 5432 = -1455y+7846 strategic 1 OK subtract 7846 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:28:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -2414 = -1455y strategic 1 OK divide -1455 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:28:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -7.74 = -8.73+10.81y strategic 1 OK add 8.73 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:28:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 0.99 = 10.81y strategic 1 OK divide 10.81 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3360 = 3954x+9566 strategic 1 OK divide 3954 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:14.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43A 560/659 = (1977x+4783)/1977 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:16.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43A null strategic 1 HINT_LEVEL_CHANGE Distribute on the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 560/659 = (1977x+4783)/1977 strategic 2 OK distribute (1977x+4783)/1977 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 560/659 = x+4783/1977 strategic 1 ERROR distribute 560/659 = x+4783/1977 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:45.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43A 560/659 = x+4783/1977 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:46.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43A null strategic 2 HINT_LEVEL_CHANGE 4783/1977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4783/1977 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:29:52.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43A null strategic 3 HINT_LEVEL_CHANGE You can subtract 4783/1977 from both sides of the equation to eliminate the constant value of 4783/1977 (4783/1977 - 4783/1977 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:30:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 560/659 = x+4783/1977 strategic 3 OK subtract 4783/1977 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 0.55 = -12.5x+(-9.7) strategic 1 ERROR distribute 0.55 = -12.5x+(-9.7) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 0.55 = -12.5x+(-9.7) strategic 2 OK rds 0.55 = -12.5x+(-9.7) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 0.55 = -12.5x-9.7 strategic 1 OK add 9.7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 10.25 = -12.5x strategic 1 OK divide -12.5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 88y+84 = -90 strategic 1 OK subtract 84 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 88y = -174 strategic 1 BUG divide -174 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 88y = -174 strategic 2 ERROR divide 174 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:53.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43 88y = -174 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:31:56.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG43 null strategic 1 HINT_LEVEL_CHANGE 88y is 88 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:32:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 88y = -174 strategic 4 OK divide 88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:32:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -33.86y+86.23 = -11.99 strategic 1 OK subtract 86.23 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:32:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -33.86y = -98.22 strategic 1 OK divide -33.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:33:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 18 = 8625x+(-7725) strategic 1 OK rds 18 = 8625x+(-7725) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:33:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 18 = 8625x-7725 strategic 1 OK add 7725 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 18+7725 = 8625x-7725+7725 right 1 ERROR right 8626x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:33:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 18+7725 = 8625x-7725+7725 right 2 OK right 8625x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:34:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 18+7725 = 8625x left 1 OK left 7743 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:34:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7743 = 8625x strategic 1 OK divide 8625 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:34:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7743/8625 = 8625x/8625 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7743/8625 = x left 1 ERROR left 0.00011 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7743/8625 = x left 2 BUG left 1.114 You need to calculate 7743 divided by 8625, not 8625 divided by 7743. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:36:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7743/8625 = x left 3 OK left 0.898 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:37:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 11.81+7.01x = -12.5 strategic 1 OK subtract 11.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:37:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 11.81+7.01x-11.81 = -12.5-11.81 left 1 OK left 7.01x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:37:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.01x = -12.5-11.81 right 1 OK right -24.31 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.01x = -24.31 strategic 1 OK divide 7.01 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:38:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.01x/7.01 = -24.31/7.01 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:39:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = -24.31/7.01 right 1 OK right -3.467 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:39:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 8.4+(-9.82y) = -2.41 strategic 1 ERROR rf 8.4+(-9.82y) = -2.41 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:39:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 8.4+(-9.82y) = -2.41 strategic 2 OK rds 8.4+(-9.82y) = -2.41 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:39:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 8.4-9.82y = -2.41 strategic 1 OK subtract 8.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:40:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 8.4-9.82y-8.4 = -2.41-8.4 left 1 BUG left -9.82 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:40:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 8.4-9.82y-8.4 = -2.41-8.4 left 2 OK left -9.82y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:40:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.82y = -2.41-8.4 right 1 OK right -10.81 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:41:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.82y = -10.81 strategic 1 ERROR divide -9.81 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:41:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.82y = -10.81 strategic 2 OK divide -9.82 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:41:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.82y/-9.82 = -10.81/-9.82 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:41:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = -10.81/-9.82 right 1 ERROR right 1.9562 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = -10.81/-9.82 right 2 OK right 1.10081 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:31.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C y = 1.10081466 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 9+(-47x) = 32 strategic 1 OK rds 9+(-47x) = 32 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 9-47x = 32 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 9-47x-9 = 32-9 left 1 ERROR left 47y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:42:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 9-47x-9 = 32-9 left 2 BUG left 47x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:43:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 9-47x-9 = 32-9 left 3 OK left -47x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:43:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -47x = 32-9 right 1 OK right 23 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:43:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -47x = 23 strategic 1 OK divide -47 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:43:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -47x/-47 = 23/-47 right 1 OK right -0.4936 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:43:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -47x/-47 = -0.4893617 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y+56 = 77 strategic 1 OK subtract 56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y+56-56 = 77-56 left 1 OK left 80y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y = 77-56 right 1 OK right 21 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y = 21 strategic 1 OK divide 80 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y/80 = 21/80 right 1 OK right 0.2625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:44:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 80y/80 = 0.2625 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:45:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77 = -30.28+(-43.2x) strategic 1 OK rds -95.77 = -30.28+(-43.2x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:45:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77 = -30.28-43.2x strategic 1 ERROR add 3028 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:46:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77 = -30.28-43.2x strategic 2 OK add 30.28 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:46:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77+30.28 = -30.28-43.2x+30.28 right 1 OK right -43.2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:47:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77+30.28 = -43.2x left 1 ERROR left -65.89 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:47:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -95.77+30.28 = -43.2x left 2 OK left -65.49 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:47:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -65.49 = -43.2x strategic 1 OK divide -43.2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:48:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -65.49/-43.2 = -43.2x/-43.2 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:48:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -65.49/-43.2 = x left 1 OK left 1.51597 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:49:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74 = 10.31x+(-8.18) strategic 1 OK rds 5.74 = 10.31x+(-8.18) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:50:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74 = 10.31x-8.18 strategic 1 OK add 8.18 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:50:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74+8.18 = 10.31x-8.18+8.18 right 1 OK right 10.31x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:50:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74+8.18 = 10.31x left 1 ERROR left 13.65 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:51:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74+8.18 = 10.31x left 2 ERROR left 13.56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:52:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.74+8.18 = 10.31x left 3 OK left 13.92 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:53:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 13.92 = 10.31x strategic 1 OK divide 10.31 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:53:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 13.92/10.31 = 10.31x/10.31 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:53:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 13.92/10.31 = x left 1 OK left 1.3501 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:54:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 421 = 913/x+636 strategic 1 OK subtract 636 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:54:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -215 = 913/x strategic 1 BUG multiply 913 To remove 913/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 913/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -215 = 913/x strategic 2 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -215x = 913 strategic 1 OK divide -215 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 529/y+(-722) = -18 strategic 1 OK rds 529/y+(-722) = -18 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 529/y-722 = -18 strategic 1 OK add 722 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 529/y = 704 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:55:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 529 = 704y strategic 1 OK divide 704 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:56:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -61 = 85+2/y strategic 1 OK subtract 85 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:56:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -146 = 2/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:56:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -146y = 2 strategic 1 BUG divide 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:56:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -146y = 2 strategic 2 OK divide -146 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:58:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -17 = 68/x+(-214) strategic 1 ERROR distribute -17 = 68/x+(-214) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:58:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -17 = 68/x+(-214) strategic 2 OK rds -17 = 68/x+(-214) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:58:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -17 = 68/x-214 strategic 1 OK add 214 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:58:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 197 = 68/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:58:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 197x = 68 strategic 1 OK divide 197 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:59:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x+(-62) = -83 strategic 1 OK rds 99/x+(-62) = -83 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:59:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x-62 = -83 strategic 1 OK add 62 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 08:59:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x-62+62 = -83+62 left 1 OK left 99/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x = -83+62 right 1 OK right -21 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x = -21 strategic 1 ERROR divide x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x = -21 strategic 2 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:18.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = -21x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:20.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in 99/x*x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = -21x left 1 OK left 99/x*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = -21x right 1 OK right -21x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = -21x strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:00:59.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/x*x = -21x strategic 3 OK mt 99/x*x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-num-node strategic 1 OK 99x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-den-node strategic 1 OK x/1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 ERROR 99x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:30.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 2 INITIAL_HINT 99x Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:31.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 3 HINT_LEVEL_CHANGE Type 99x/x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 3 OK 99x/x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:48.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 99x/x = -21x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:50.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:01:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99x/x = -21x strategic 2 OK rf 99x/x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-constant factors strategic 1 OK 99 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 1 ERROR 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-x strategic 1 OK 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:36.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 5 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 99 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:40.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 6 HINT_LEVEL_CHANGE 1 will go into both 99 and 1 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:54.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 7 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 99 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [99]/[1] is 1. This set of entry boxes represent the simplified form of [99]/[1]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:02:58.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 8 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 2 OK 99 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 1 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:09.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 2 INITIAL_HINT x The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:12.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 9 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:14.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 10 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, x, by x, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:19.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 11 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:52.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [99]/[1] is 1. This set of entry boxes represent the simplified form of [99]/[1]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:54.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 12 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:03:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 2 ERROR 99 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 1 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:10.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 2 INITIAL_HINT x The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:11.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 13 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:12.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 14 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, x, by x, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:13.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 15 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:20.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 4 INITIAL_HINT In the above expression you have 99x/x. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:22.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 16 HINT_LEVEL_CHANGE To simplify, divide x into 99x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 5 ERROR 99x condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:31.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 17 HINT_LEVEL_CHANGE Type 99. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 6 OK 99 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99 = -21x strategic 1 OK divide -21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:04:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/-21 = -21x/-21 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:05:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 99/-21 = x left 1 OK left -4.7142 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:05:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -789+(-136/y) = -701 strategic 1 OK rds -789+(-136/y) = -701 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:09:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -789-136/y = -701 strategic 1 OK add 789 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:10:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -789-136/y+789 = -701+789 left 1 BUG left 136/y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:10:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -789-136/y+789 = -701+789 left 2 OK left -136/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:10:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y = -701+789 right 1 BUG right -1490 -1490 is equal to -701 minus 789. You need to calculate -701 plus 789. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:11:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y = -701+789 right 2 OK right 88 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y = 88 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:12:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y*y = 88y right 1 OK right 88y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:12:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y*y = 88y left 1 OK left -136/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:12:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/y*y = 88y strategic 1 OK mt -136/y*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:12:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 1 ERROR -136/y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:12:55.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 2 INITIAL_HINT -136/y You need to multiply the numerators together. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:00.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE What is -136 times y? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 3 OK -136*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-den-node strategic 1 OK y*1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 ERROR -36y/y condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 2 ERROR -36y/1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 3 INITIAL_HINT -36y/1 Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Type -136y/y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:13:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 4 OK -136y/y condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:01.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A -136y/y = 88y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:03.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136y/y = 88y strategic 2 OK rf -136y/y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-constant factors strategic 1 OK -136 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-y strategic 1 OK 1/[y] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 OK -136 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-y strategic 1 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-y strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:14:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 ERROR -136*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:01.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 2 INITIAL_HINT -136*y The common factor between the numerator and denominator of [-136]/[1] is 1. This set of entry boxes represent the simplified form of [-136]/[1]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:04.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:07.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 1, by 1, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:11.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 6 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:17.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 2 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:25.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 7 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:26.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, y, by y, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:27.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 9 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:32.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 5 INITIAL_HINT In the above expression you have -136y/y. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 10 HINT_LEVEL_CHANGE To simplify, divide y into -136y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:37.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 11 HINT_LEVEL_CHANGE Type -136. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 6 OK -136 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136 = 88y strategic 1 OK divide 88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:15:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/88 = 88y/88 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:16:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -136/88 = y left 1 OK left -1.5454 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:16:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574+565/y = -212 strategic 1 OK add 574 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:16:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -574+565/y+574 = -212+574 left 1 OK left 565/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:17:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = -212+574 right 1 ERROR right 45491 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:17:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = -212+574 right 2 ERROR right 335 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:17:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = -212+574 right 3 ERROR right -335 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:18:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = -212+574 right 4 ERROR right 335 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:19:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = -212+574 right 5 OK right 362 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y = 362 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y right 1 OK right 362y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y left 1 OK left 565/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y strategic 1 ERROR rf 565/y*y = 362y strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y strategic 2 ERROR rds 565/y*y = 362y strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/y*y = 362y strategic 4 OK mt 565/y*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 1 ERROR 565 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:20:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 2 OK 565*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-den-node strategic 1 ERROR y1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-den-node strategic 2 OK 1y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:15.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:17.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Type 565y/y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 2 OK 565y/y condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565y/y = 362y strategic 1 OK rf 565y/y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-constant factors strategic 1 OK 565 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-y strategic 1 OK 1/[y] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:21:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 3 OK 565 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-y strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 1 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:16.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 3 INITIAL_HINT In the above expression you have 565y/y. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:17.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE To simplify, divide y into 565y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 4 ERROR 565y condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:25.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE Type 565. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 5 OK 565 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565 = 362y strategic 1 OK divide 362 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = 362y/362 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:22:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 1 BUG left 0.6407 You need to calculate 565 divided by 362, not 362 divided by 565. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:23:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 2 ERROR left 1.5067 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:24:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 3 ERROR left 6407 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:24:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 4 BUG left 0.6407 You need to calculate 565 divided by 362, not 362 divided by 565. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:24:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 5 ERROR left 1.50678 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:25:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 565/362 = y left 6 OK left 565/362 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:25:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 943 = 259+805/x strategic 1 OK subtract 259 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:25:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 943-259 = 259+805/x-259 right 1 OK right 805/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 943-259 = 805/x left 1 OK left 684 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684 = 805/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805/x*x left 1 BUG left 684 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805/x*x left 2 OK left 684x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805/x*x right 1 OK right 805/x*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:26:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805/x*x strategic 1 OK mt 805/x*x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 1 OK 805x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-den-node strategic 1 OK 1x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:13.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:16.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type 805x/x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 2 OK 805x/x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805x/x strategic 1 OK rf 805x/x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-constant factors strategic 1 OK 805 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-x strategic 1 OK 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2x strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2x strategic 2 OK x condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-x strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:27:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 OK 805 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-x strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:05.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 3 INITIAL_HINT In the above expression you have 805x/x. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:07.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE To simplify, divide x into 805x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 4 OK 805 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x = 805 strategic 1 OK divide 684 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 684x/684 = 805/684 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 805/684 right 1 OK right 1.1769 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 647+(-309/y) = 8 strategic 1 ERROR rf 647+(-309/y) = 8 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 647+(-309/y) = 8 strategic 2 OK rds 647+(-309/y) = 8 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:29:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 647-309/y = 8 strategic 1 OK subtract 647 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 647-309/y-647 = 8-647 left 1 OK left -309/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:29:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/y = 8-647 right 1 OK right -639 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:29:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/y = -639 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:29:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/y*y = -639y right 1 OK right -639y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/y*y = -639y left 1 OK left -309/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/y*y = -639y strategic 1 OK mt -309/y*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-num-node strategic 1 OK -309y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A pm-r-den-node strategic 1 OK 1y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK -309y/y condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309y/y = -639y strategic 1 OK rf -309y/y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-constant factors strategic 1 OK -309 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-N-y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-y strategic 1 OK 1/[y] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:30:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 OK -309 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-y strategic 1 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-y strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-y strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 2 ERROR -309y condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 3 OK -309 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309 = -639y strategic 1 OK divide -639 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:31:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/-639 = -639y/-639 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -309/-639 = y left 1 OK left 0.4835 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 54 = 95+17/y strategic 1 OK subtract 95 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 54-95 = 95+17/y-95 right 1 OK right 17/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 54-95 = 17/y left 1 OK left -41 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41 = 17/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y = 17/y*y left 1 OK left -41y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y = 17/y*y right 1 OK right 17/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y = 17/y*y strategic 1 OK mt 17/y*y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-num-node strategic 1 OK 17y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-den-node strategic 1 OK 1y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:10.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:11.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type 17y/y. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 2 OK 17y/y condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y = 17y/y strategic 1 OK rf 17y/y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-constant factors strategic 1 OK 17 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-y strategic 1 OK 1/[y] condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2y strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 OK 17 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-y strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-y strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 3 OK 17 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y = 17 strategic 1 OK divide -41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:34:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -41y/-41 = 17/-41 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = 17/-41 right 1 BUG right -2.4117 You need to calculate 17 divided by -41, not -41 divided by 17. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:34:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = 17/-41 right 2 OK right -0.4146 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7+(-10x) = 4+1x strategic 1 OK rds -7+(-10x) = 4+1x strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7-10x = 4+1x strategic 1 ERROR clt -7-10x = 4+1x strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7-10x = 4+1x strategic 2 OK add 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7 = 4+11x strategic 1 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -11 = 11x strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9+(-2y) = 9y+(-1) strategic 1 OK rds 9+(-2y) = 9y+(-1) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9-2y = 9y-1 strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9 = 11y-1 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:35:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10 = 11y strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+9y = 4y+(-3) strategic 1 OK rds 5+9y = 4y+(-3) strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+9y = 4y-3 strategic 1 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+9y = 4y-3 strategic 2 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+5y = -3 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = -8 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+(-2y) = -4+8y strategic 1 OK rds -6+(-2y) = -4+8y strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6-2y = -4+8y strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6 = -4+10y strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:36:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2 = 10y strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+(-7y) = 7+3y strategic 1 OK rds -6+(-7y) = 7+3y strategic condition 2 cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6-7y = 7+3y strategic 1 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6 = 7+10y strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -13 = 10y strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+2 = 1y+10 strategic 1 OK subtract 1y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:37:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+2-1y = 1y+10-1y left 1 OK left 3y+2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:38:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+2 = 1y+10-1y right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:38:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+2 = 10 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:38:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+2-2 = 10-2 right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:38:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+2-2 = 8 left 1 OK left 3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 4ziT9K3 session0 2007-04-27 09:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 8 strategic 1 BUG multiply 3 To remove the coefficient of 3y, you need to divide. Erase your last step and then divide both sides by 3. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 53BUR9m session72 2007-04-20 09:41:24.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:42:00.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:42:06.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:42:27.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -3482y+1225 = -4467 strategic 1 OK subtract 1225 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:42:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -3482y = -5692 strategic 1 OK divide -3482 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:42:56.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -2.24+(-93.77x) = -35.94 strategic 1 OK rds -2.24+(-93.77x) = -35.94 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:43:05.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -2.24-93.77x = -35.94 strategic 1 OK add 2.24 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:43:15.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -93.77x = -33.7 strategic 1 OK divide -93.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:43:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y+(-8.39) = 3.11 strategic 1 OK rds 13.53y+(-8.39) = 3.11 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:43:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y-8.39 = 3.11 strategic 1 BUG subtract 8.39 Since -8.39 is negative, you should add to remove it from the left side. Erase your last step and add 8.39 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:44:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y-8.39 = 3.11 strategic 2 BUG add -8.39 To remove -8.39 from the left side, you can add a positive to it. Erase your last step and add 8.39 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:44:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y-8.39 = 3.11 strategic 3 OK add 8.39 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:44:47.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y-8.39+8.39 = 3.11+8.39 left 1 OK left 13.53y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:44:53.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y = 3.11+8.39 right 1 BUG right 3.11 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:45:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y = 3.11+8.39 right 2 OK right 11.5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:45:42.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y = 11.5 strategic 1 OK divide 13.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:45:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 13.53y/13.53 = 11.5/13.53 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:46:13.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 11.5/13.53 right 1 ERROR right 0.84 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:46:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 11.5/13.53 right 2 ERROR right 1.17 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:46:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 11.5/13.53 right 3 OK right 11.5/13.53 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:46:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 11.5/13.53 strategic 1 OK rf 11.5/13.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:47:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 OK 0.84996 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:48:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x+(-6052) = 3372 strategic 1 OK rds 7384x+(-6052) = 3372 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:48:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x+(-6052) = 3372 strategic 2 OK rds 7384x+(-6052) = 3372 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:48:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x-6052 = 3372 strategic 1 OK add 6052 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:48:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x-6052+6052 = 3372+6052 left 1 BUG left 7384 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:48:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x-6052+6052 = 3372+6052 left 2 OK left 7384x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:49:18.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x = 3372+6052 right 1 OK right 9424 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:49:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x = 9424 strategic 1 OK divide 7384 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:49:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7384x/7384 = 9424/7384 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = 9424/7384 right 1 OK right 1.27627 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 9.1 = 5.88+(-2.21y) strategic 1 OK rds 9.1 = 5.88+(-2.21y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 9.1 = 5.88-2.21y strategic 1 BUG add 5.88 Since 5.88 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 5.88 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 9.1 = 5.88-2.21y strategic 2 OK add -5.88 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 9.1+(-5.88) = 5.88-2.21y+(-5.88) left 1 ERROR left 2.221y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:50:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 9.1+(-5.88) = 5.88-2.21y+(-5.88) left 2 BUG left 2.21y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:51:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 5.88-2.21y+(-5.88) = 9.1+(-5.88) left 1 OK left -2.21y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:51:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.21y = 9.1+(-5.88) right 1 ERROR right 14.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:52:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.21y = 9.1+(-5.88) right 2 OK right 3.22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:52:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.21y = 3.22 strategic 1 OK divide -2.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:52:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.21y/-2.21 = 3.22/-2.21 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:52:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y = 3.22/-2.21 right 1 ERROR right 1.01 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:53:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y = 3.22/-2.21 right 2 BUG right 1.45701 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:53:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y = 3.22/-2.21 right 3 OK right -1.45701 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -15 = 9y+62 strategic 1 OK subtract 62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9y+62-62 = -15-62 left 1 OK left 9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9y = -15-62 right 1 OK right -77 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9y = -77 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9y/9 = -77/9 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = -77/9 right 1 OK right -8.55555 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:54:59.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.27+(-5.37x) = 11.17 strategic 1 OK rds 0.27+(-5.37x) = 11.17 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:55:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.27-5.37x = 11.17 strategic 1 BUG add 0.27 Since 0.27 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 0.27 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:55:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.27-5.37x = 11.17 strategic 2 OK add -0.27 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:55:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.27-5.37x+(-0.27) = 11.17+(-0.27) left 1 OK left -5.37x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:56:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.37x = 11.17+(-0.27) right 1 OK right 10.9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:56:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.37x = 10.9 strategic 1 OK divide -5.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:56:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.37x/-5.37 = 10.9/-5.37 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:56:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42C x = 10.9/-5.37 right 1 BUG right 2.02979 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:56:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42C x = 10.9/-5.37 right 2 OK right -2.02979 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:57:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 2718 = -7426+4140x strategic 1 BUG subtract 7426 Since -7426 is negative, you should add to remove it from the right side. Erase your last step and add 7426 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:57:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 2718 = -7426+4140x strategic 2 OK subtract -7426 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:57:45.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7426+4140x-(-7426) = 2718-(-7426) left 1 OK left 4140x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:58:15.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4140x = 2718-(-7426) right 1 BUG right -10144 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:58:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4140x = 2718-(-7426) right 2 OK right 10144 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:58:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4140x = 10144 strategic 1 OK divide 4140 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:58:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4140x/4140 = 10144/4140 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:59:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = 10144/4140 right 1 OK right 2.45024 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:59:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -53 = -9/y+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:59:42.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -59 = -9/y strategic 1 BUG multiply -9 To remove -9/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -9/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:59:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -59 = -9/y strategic 2 ERROR multiply 9 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 09:59:58.0 HINT HINT ES_05 ES_05-3 EG59 -59 = -9/y strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:00.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -9/y is -9 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -59 = -9/y strategic 4 ERROR divide -9 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59/9 = 1/y strategic 1 BUG multiply 1 To remove 1/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 1/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:19.0 HINT HINT ES_05 ES_05-3 EG59 59/9 = 1/y strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:20.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE 1/y is 1 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59/9 = 1/y strategic 3 ERROR divide 1 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:33.0 HINT HINT ES_05 ES_05-3 EG59 59/9 = 1/y strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:34.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 3 HINT_LEVEL_CHANGE 1/y is 1 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:38.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:00:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59/9 = 1/y strategic 5 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:01.0 HINT HINT ES_05 ES_05-3 EG59 59y/9 = 1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:02.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 5 HINT_LEVEL_CHANGE In 59y/9, y is divided by 9. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59y/9 = 1 strategic 2 ERROR divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:14.0 HINT HINT ES_05 ES_05-3 EG59 59y/9 = 1 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:14.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 6 HINT_LEVEL_CHANGE In 59y/9, y is divided by 9. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:18.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 7 HINT_LEVEL_CHANGE Multiply both sides by 9. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59y/9 = 1 strategic 4 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:29.0 CYCLE CYCLE ES_05 ES_05-3 EG59 59y = 9 strategic 1 OK divide 59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 855/y+360 = 385 strategic 1 OK subtract 360 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:01:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 855/y = 25 strategic 1 BUG multiply 855 To remove 855/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 855/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 855/y = 25 strategic 2 ERROR divide 855 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1/y = 5/171 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1 = 5y/171 strategic 1 OK multiply 171 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 171 = 5y strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -49+62/x = 27 strategic 1 BUG subtract 49 Since -49 is negative, you should add to remove it from the left side. Erase your last step and add 49 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:02:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -49+62/x = 27 strategic 2 OK subtract -49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 62/x = 76 strategic 1 ERROR divide 62 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59 62/x = 76 strategic 2 BUG multiply 62 To remove 62/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 62/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:26.0 HINT HINT ES_05 ES_05-3 EG59 62/x = 76 strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:27.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE 62/x is 62 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:32.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59 62/x = 76 strategic 4 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:44.0 CYCLE CYCLE ES_05 ES_05-3 EG59 62/x = 76 strategic 5 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:03:49.0 CYCLE CYCLE ES_05 ES_05-3 EG59 62 = 76x strategic 1 OK divide 76 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -499 = 258/y+(-303) strategic 1 OK rds -499 = 258/y+(-303) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -499 = 258/y-303 strategic 1 OK add 303 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -196 = 258/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -196y = 258 strategic 1 OK divide -196 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 963/x+715 = 25 strategic 1 OK subtract 715 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:47.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 963/x = -690 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:04:54.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 963 = -690x strategic 1 OK divide -690 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:05.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 970 = 132/x+(-522) strategic 1 OK rds 970 = 132/x+(-522) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 970 = 132/x-522 strategic 1 OK add 522 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:17.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1492 = 132/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1492x = 132 strategic 1 OK divide 1492 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x+346 = -804 strategic 1 OK subtract 346 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x+346-346 = -804-346 left 1 ERROR left 1993/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:05:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x+346-346 = -804-346 left 2 OK left 193/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:06:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x = -804-346 right 1 OK right -1150 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:06:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x = -1150 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:06:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x*x = -1150x left 1 OK left 193 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:06:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193 = -1150x right 1 BUG right -1150 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:06:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193 = -1150x right 2 OK right -1150x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:17:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193 = -1150x strategic 1 OK divide -1150 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:17:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1150x/-1150 = 193/-1150 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:17:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 193/-1150 right 1 ERROR right -957 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:18:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 193/-1150 right 2 ERROR right 957 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:18:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 193/-1150 right 3 OK right 193/-1150 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:18:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 193/-1150 strategic 1 OK rf 193/-1150 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:19:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 ERROR -1343 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:12.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 2 INITIAL_HINT -1343 In the above expression you have 193/-1150. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:14.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -1150 into 193. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:17.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Type -193/1150. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 3 OK -193/1150 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59 9 = -80/x+(-13) strategic 1 OK rds 9 = -80/x+(-13) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:20:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59 9 = -80/x-13 strategic 1 OK add 13 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80/x-13+13 = 9+13 left 1 OK left -80/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80/x = 9+13 right 1 OK right 22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80/x = 22 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80/x*x = 22x left 1 OK left -80 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80 = 22x right 1 OK right 22x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -80 = 22x strategic 1 OK divide 22 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 22x/22 = -80/22 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:21:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -80/22 right 1 OK right -80/22 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -80/22 strategic 1 BUG rds x = -80/22 strategic Simplify the fraction -80/22. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -80/22 strategic 2 OK rf -80/22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 1 ERROR -22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 2 ERROR 22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 3 ERROR 80 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:38.0 HINT HINT ES_05 ES_05-4 EG59 row2constant factors strategic 4 INITIAL_HINT 80 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 5 ERROR -80 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 6 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:22:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 7 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 1 BUG 40 40
Check the sign of your answer. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 2 OK -40 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 1 BUG -11 -11
Check the sign of your answer. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 2 OK 11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -40/11 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -42 = -6+29/x strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the right side. Erase your last step and add 6 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -42 = -6+29/x strategic 2 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:23:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -6+29/x-(-6) = -42-(-6) left 1 OK left 29/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:24:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x = -42-(-6) right 1 ERROR right -48 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:24:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x = -42-(-6) right 2 ERROR right 48 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:25:00.0 HINT HINT ES_05 ES_05-4 EG59 29/x = -42-(-6) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:25:01.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in -42-(-6) on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:25:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x = -42-(-6) right 3 OK right -42-(-6) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:25:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x = -42+6 strategic 1 OK clt -42+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:25:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 ERROR -38 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session72 2007-04-20 10:26:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 OK -36 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:38:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x = -36 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:38:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/x*x = -36x left 1 OK left 29 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:38:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29 = -36x right 1 OK right -36x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:39:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29 = -36x strategic 1 OK divide -36 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:39:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = -36x/-36 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:39:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = x left 1 ERROR left -7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:40:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = x left 2 BUG left -1.24137 You need to calculate 29 divided by -36, not -36 divided by 29. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:40:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = x left 3 ERROR left 7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:41:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = x left 4 BUG left 0.80555 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:41:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 29/-36 = x left 5 OK left -0.80555 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:41:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+3y = 7+(-4y) strategic 1 OK rds 5+3y = 7+(-4y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:41:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+3y = 7-4y strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:42:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5 = 7-7y strategic 1 BUG add 7 Since 7 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 7 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:42:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5 = 7-7y strategic 2 OK add 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:42:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+7y = 7 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:42:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y = 2 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:42:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5x+8 = 10x+(-8) strategic 1 OK rds -5x+8 = 10x+(-8) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5x+8 = 10x-8 strategic 1 OK subtract -5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8 = 15x-8 strategic 1 ERROR add 15x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8 = 15x-8 strategic 2 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 16 = 15x strategic 1 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9x+3 = 4+(-8x) strategic 1 OK rds -9x+3 = 4+(-8x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:43:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9x+3 = 4-8x strategic 1 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:44:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 4+x strategic 1 ERROR subtract x condition 1 [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:44:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3-x = 4 strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:44:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 4+x strategic 2 OK subtract 4 condition 1 [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:44:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+(-1x) = -9+(-5x) strategic 1 OK rds 5+(-1x) = -9+(-5x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:45:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5-1x = -9-5x strategic 1 BUG add -1x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:45:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5-1x = -9-5x strategic 2 OK add 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:45:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5-1x+x = -9-5x+x left 1 OK left 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:45:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -9-5x+x right 1 BUG right -9-6x -9-6x is equal to -9-5x minus x. You need to calculate -9-5x plus x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -9-5x+x right 2 OK right -9-5x+x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -9-5x+x strategic 1 OK clt -9-5x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG  5x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR 6x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:46:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK -4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -4+-9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -4-9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -4x-9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -4x-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-9+9 = 5+9 left 1 OK left -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = 5+9 right 1 OK right 14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:47:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = 14 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:48:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x/-4 = 14/-4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:48:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 14/-4 right 1 BUG right 3.5 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:48:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 14/-4 right 2 OK right -3.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:49:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y+(-5) = 9y+3 strategic 1 OK rds -3y+(-5) = 9y+3 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:49:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5 = 9y+3 strategic 1 OK subtract 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:49:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5-9y = 9y+3-9y right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:49:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5-9y = 3 left 1 OK left -3y-5-9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:49:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5 = 9y+3 strategic 2 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5 = 9y+3 strategic 3 OK subtract 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5-9y = 9y+3-9y left 1 ERROR left -6y-5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-5-9y = 9y+3-9y left 2 OK left -12y-5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y-5 = 9y+3-9y right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y-5 = 3 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y-5+5 = 3+5 left 1 OK left -12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y = 3+5 right 1 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y = 8 strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:50:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12y/-12 = 8/-12 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:51:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 8/-12 right 1 BUG right 0.66666 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:51:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 8/-12 right 2 OK right -0.66666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:51:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+2x = 7x+(-6) strategic 1 OK rds -3+2x = 7x+(-6) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+2x = 7x-6 strategic 1 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+2x-2x = 7x-6-2x left 1 OK left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = 7x-6-2x right 1 OK right 5x-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = 5x-6 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-6+6 = -3+6 left 1 OK left 5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -3+6 right 1 BUG right -3 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -3+6 right 2 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 3 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:52:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x/5 = 3/5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:53:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 3/5 right 1 OK right 0.6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:53:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.79y+(-9.84) = 4.42y+8.18 strategic 1 OK rds -2.79y+(-9.84) = 4.42y+8.18 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:53:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.79y-9.84 = 4.42y+8.18 strategic 1 OK subtract 4.42y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:53:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.21y-9.84 = 8.18 strategic 1 OK add 9.84 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:54:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.21y = 18.02 strategic 1 OK divide -7.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:54:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.86x+(-0.49) = 7.78+(-9.47x) strategic 1 OK rds 0.86x+(-0.49) = 7.78+(-9.47x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:54:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.86x-0.49 = 7.78-9.47x strategic 1 OK add 9.47x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:54:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 10.33x-0.49 = 7.78 strategic 1 OK add 0.49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:54:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 10.33x = 8.27 strategic 1 OK divide 10.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:55:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.03y+5.68 = 1.77y+5.65 strategic 1 OK subtract 3.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:56:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.68 = -1.26y+5.65 strategic 1 ERROR subtract 1.26 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:56:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.68 = -1.26y+5.65 strategic 2 OK subtract 5.65 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:56:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.03 = -1.26y strategic 1 OK divide -1.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:57:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.67x+0.43 = -9.39x+7.81 strategic 1 OK subtract 3.67x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:57:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.67x+0.43-3.67x = -9.39x+7.81-3.67x left 1 OK left 0.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:58:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x right 1 ERROR right -13.06y+7.81 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 09:58:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x right 2 ERROR right -13.06y-7.81 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x right 3 ERROR right -13.04y+7.81 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x right 4 ERROR right -9.39x+7.81-3.67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x right 5 OK right -9.39x+7.81-3.67x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -9.39x+7.81-3.67x strategic 1 OK clt -9.39x+7.81-3.67x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -9.39x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK -3.67x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:00:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +7.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 ERROR 13.06x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 ERROR 13.04x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 3 ERROR -13.04x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:33.0 HINT HINT ES_05 ES_05-8 EG61 xR2 strategic 4 INITIAL_HINT -13.04x In the group above, -9.39x and -3.67x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:35.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-9.39x]+[-3.67x] are -9.39 and -3.67. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:39.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -9.39x and -3.67x results in -13.06x HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 5 OK -13.06x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:01:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 7.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:02:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR -13.06+7.81 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:02:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK -13.06x+7.81 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:02:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43 = -13.06x+7.81 strategic 1 OK subtract 7.81 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:02:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43-7.81 = -13.06x+7.81-7.81 right 1 BUG right 13.06x You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:02:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43-7.81 = -13.06x+7.81-7.81 right 2 OK right -13.06x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:03:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.43-7.81 = -13.06x left 1 OK left -7.38 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:03:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.38 = -13.06x strategic 1 OK divide -13.06 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:03:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.38/-13.06 = -13.06x/-13.06 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:04:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.38/-13.06 = x left 1 BUG left -0.56508 You are dividing a negative by a negative. The result should be positive. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:04:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.38/-13.06 = x left 2 OK left 0.56508 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:04:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.12+(-5.17x) = 6.11x+5.01 strategic 1 OK rds -1.12+(-5.17x) = 6.11x+5.01 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:04:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.12-5.17x = 6.11x+5.01 strategic 1 OK subtract 6.11x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:04:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.12-5.17x-6.11x = 6.11x+5.01-6.11x right 1 OK right 5.01 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.12-5.17x-6.11x = 5.01 left 1 OK left -11.28x-1.12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x-1.12 = 5.01 strategic 1 OK add 1.12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x-1.12+1.12 = 5.01+1.12 left 1 BUG left -11.28 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x-1.12+1.12 = 5.01+1.12 left 2 OK left -11.28x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x = 5.01+1.12 right 1 OK right 5.01+1.12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x = 5.01+1.12 strategic 1 OK clt 5.01+1.12 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:05:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 6.13 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:06:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x = 6.13 strategic 1 OK divide -11.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:06:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -11.28x/-11.28 = 6.13/-11.28 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:06:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 6.13/-11.28 right 1 OK right -0.54343 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:06:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.01+(-6.47y) = 0.22+3.75y strategic 1 OK rds -1.01+(-6.47y) = 0.22+3.75y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:07:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.01-6.47y = 0.22+3.75y strategic 1 OK subtract 3.75y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:07:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.01-6.47y-3.75y = 0.22+3.75y-3.75y right 1 OK right 0.22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.01-6.47y-3.75y = 0.22 left 1 OK left -10.22y-1.01 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y-1.01 = 0.22 strategic 1 OK add 1.01 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y-1.01+1.01 = 0.22+1.01 left 1 BUG left -10.22 You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y-1.01+1.01 = 0.22+1.01 left 2 OK left -10.22y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y = 0.22+1.01 right 1 OK right 1.23 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y = 1.23 strategic 1 OK divide -10.22 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:08:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -10.22y/-10.22 = 1.23/-10.22 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:09:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 1.23/-10.22 right 1 OK right -0.12035 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:09:44.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 224.37x+(-215.63) = -1350.58+(-174.78x) strategic 1 OK rds 224.37x+(-215.63) = -1350.58+(-174.78x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:09:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 224.37x-215.63 = -1350.58-174.78x strategic 1 ERROR add 174.78 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:10:21.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 224.37x-215.63 = -1350.58-174.78x strategic 2 OK add 174.78x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:10:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 399.15x-215.63 = -1350.58 strategic 1 OK add 215.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:10:48.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 399.15x = -1134.95 strategic 1 OK divide 399.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:10:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.89x+(-56.94) = 30.36x+(-43.53) strategic 1 OK rds -91.89x+(-56.94) = 30.36x+(-43.53) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:11:12.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.89x-56.94 = 30.36x-43.53 strategic 1 OK add 91.89x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:11:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -56.94 = 122.25x-43.53 strategic 1 OK add 43.53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:11:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -13.41 = 122.25x strategic 1 OK divide 122.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:11:41.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7852.83+9.54x = 4014.41+(-108.61x) strategic 1 OK rds 7852.83+9.54x = 4014.41+(-108.61x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:11:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7852.83+9.54x = 4014.41-108.61x strategic 1 OK subtract 9.54x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:12:19.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7852.83 = 4014.41-118.15x strategic 1 BUG add 4014.41 Since 4014.41 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4014.41 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:12:33.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7852.83 = 4014.41-118.15x strategic 2 OK add 118.15x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:12:53.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7852.83+118.15x = 4014.41 strategic 1 OK subtract 7852.83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:13:01.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 118.15x = -3838.42 strategic 1 ERROR divide 188.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:13:27.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 118.15x = -3838.42 strategic 2 BUG divide 118.15x Dividing anything by itself will leave 1. If you divide 118.15x by 118.15, x will be left. Erase your last step and then divide by 118.15. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:13:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 118.15x = -3838.42 strategic 3 ERROR divide 188.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:13:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 118.15x = -3838.42 strategic 4 OK divide 118.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:14:08.0 CYCLE CYCLE ES_05 ES_05-9 EG62 51.59y+(-18.19) = -8.77+90.64y strategic 1 OK rds 51.59y+(-18.19) = -8.77+90.64y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:14:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62 51.59y-18.19 = -8.77+90.64y strategic 1 OK subtract 90.64y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:14:32.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -39.05y-18.19 = -8.77 strategic 1 OK add 18.19 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:14:42.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -39.05y = 9.42 strategic 1 OK divide -39.05 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:15:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 96.92y+7054.01 = -191.15y+4663.04 strategic 1 OK subtract 96.92y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:15:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 96.92y+7054.01-96.92y = -191.15y+4663.04-96.92y left 1 OK left 7054.01 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:17:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -191.15y+4663.04-96.92y right 1 ERROR right -288.06y+4663.04 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:17:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -191.15y+4663.04-96.92y right 2 ERROR right -288.06y-4663.04 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -191.15y+4663.04-96.92y right 3 ERROR right -191.15y+4663.04-96.92 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -191.15y+4663.04-96.92y right 4 OK right -191.15y+4663.04-96.92y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -191.15y+4663.04-96.92y strategic 1 OK clt -191.15y+4663.04-96.92y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK -191.15y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 OK -96.92y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:18:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK +4663.04 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 ERROR -288.06 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 ERROR -288.06y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 ERROR 288.06y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:12.0 HINT HINT ES_05 ES_05-10 EG62A yR2 strategic 4 INITIAL_HINT 288.06y In the group above, -191.15y and -96.92y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:14.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-191.15y]+[-96.92y] are -191.15 and -96.92. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:18.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -191.15y and -96.92y results in -288.07y HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 5 ERROR 288.07y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 6 OK -288.07y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 4663.04 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:19:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR -288.07 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:20:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK -288.07y+4663.04 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:20:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -288.07y+4663.04 strategic 1 ERROR subtract 288.07y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:20:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01 = -288.07y+4663.04 strategic 2 OK subtract 4663.04 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:20:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01-4663.04 = -288.07y+4663.04-4663.04 right 1 OK right -288.07y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:22:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7054.01-4663.04 = -288.07y left 1 OK left 2390.97 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:22:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 2390.97 = -288.07y strategic 1 OK divide -288.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:22:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 2390.97/-288.07 = -288.07y/-288.07 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:23:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 2390.97/-288.07 = y left 1 OK left -8.29996 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:23:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -9.43x+(-56.05) = 75.01x+(-40.77) strategic 1 OK rds -9.43x+(-56.05) = 75.01x+(-40.77) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:23:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -9.43x-56.05 = 75.01x-40.77 strategic 1 OK add 9.43x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:23:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -9.43x-56.05+9.43x = 75.01x-40.77+9.43x left 1 ERROR left 56.06 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:23:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -9.43x-56.05+9.43x = 75.01x-40.77+9.43x left 2 BUG left 56.05 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:24:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -9.43x-56.05+9.43x = 75.01x-40.77+9.43x left 3 OK left -56.05 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:24:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -56.05 = 75.01x-40.77+9.43x right 1 OK right 84.44x-40.77 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:24:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -56.05 = 84.44x-40.77 strategic 1 OK add 40.77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:25:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -56.05+40.77 = 84.44x-40.77+40.77 left 1 OK left -15.28 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:25:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -15.28 = 84.44x-40.77+40.77 right 1 BUG right 84.44 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:25:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -15.28 = 84.44x-40.77+40.77 right 2 OK right 84.44x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:25:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -15.28 = 84.44x strategic 1 OK divide 84.44 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session73 2007-04-23 10:26:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 84.44x/84.44 = -15.28/84.44 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:38:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -15.28/84.44 right 1 BUG right 0.18095 You forgot the negative sign. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:38:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -15.28/84.44 right 2 OK right -0.18095 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:39:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27+(-413.63y) = 9631.93+842y strategic 1 OK rds 7278.27+(-413.63y) = 9631.93+842y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:39:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27-413.63y = 9631.93+842y strategic 1 OK subtract 842y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:39:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27-413.63y-842y = 9631.93+842y-842y right 1 OK right 9631.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:40:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27-413.63y-842y = 9631.93 left 1 OK left 7278.27-413.63y-842y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:40:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27-413.63y-842y = 9631.93 strategic 1 BUG add 7278.27 Since 7278.27 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 7278.27 from both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:40:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 7278.27-413.63y-842y = 9631.93 strategic 2 OK clt 7278.27-413.63y-842y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:41:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK 7278.27 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:41:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK -413.63y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:41:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 OK -842y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:41:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 7278.27 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:42:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 ERROR 1255.63y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:42:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 ERROR 1255.63 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:42:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 ERROR 1255.63y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:42:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 4 OK -1255.63y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:43:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR 1255.63y+7278.27 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:43:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK -1255.63y+7278.27 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:43:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1255.63y+7278.27 = 9631.93 strategic 1 OK subtract 7278.27 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:43:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1255.63y+7278.27-7278.27 = 9631.93-7278.27 left 1 OK left -1255.63y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:44:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1255.63y = 9631.93-7278.27 right 1 OK right 2353.66 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:44:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1255.63y = 2353.66 strategic 1 OK divide -1255.63 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:44:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1255.63y/-1255.63 = 2353.66/-1255.63 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:45:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = 2353.66/-1255.63 right 1 OK right -1.87448 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:45:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x+(-88.66) = -35.75+(-46.24x) strategic 1 OK rds 44.93x+(-88.66) = -35.75+(-46.24x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:46:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66 = -35.75-46.24x strategic 1 OK add 46.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:46:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x = -35.75-46.24x+46.24x right 1 OK right -35.75 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:46:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x = -35.75 left 1 OK left 44.93x-88.66+46.24x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:47:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x = -35.75 strategic 1 OK add 88.66 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:47:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x+88.66 = -35.75+88.66 left 1 BUG left 91.17x Just add 44.93x-88.66+46.24x to 88.66. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:48:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x+88.66 = -35.75+88.66 left 2 BUG left -91.17x The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:48:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x-88.66+46.24x+88.66 = -35.75+88.66 left 3 OK left 44.93x+46.24x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:48:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x+46.24x = -35.75+88.66 right 1 OK right -35.75+88.66 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:48:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 44.93x+46.24x = -35.75+88.66 strategic 1 OK clt 44.93x+46.24x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:49:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 91.17x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:49:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.17x = -35.75+88.66 strategic 1 OK clt -35.75+88.66 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:49:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 ERROR 56.91 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:49:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 3 ERROR -56.91 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:50:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 4 OK 52.91 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:50:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.17x = 52.91 strategic 1 OK divide 91.17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:50:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.17x/91.17 = 52.91/91.17 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 53BUR9m session74 2007-04-27 09:51:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = 52.91/91.17 right 1 OK right 0.58034 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 59v7i97 session0 2007-04-26 08:35:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:36:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -22 = 58+33y strategic 1 OK answer-check -80/33 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:37:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 2.7 = 11.33x+(-9.14) strategic 1 OK answer-check 1.045 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:40:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 24y+98 = -25 strategic 1 OK answer-check -5.125 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:43:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -37.83 = 53.34y+(-79.99) strategic 1 ERROR answer-check -2.0884 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:47:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -37.83 = 53.34y+(-79.99) strategic 2 OK answer-check 0.7904 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:49:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9443 = 5298+2147x strategic 1 ERROR answer-check 0.7823 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:51:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9443 = 5298+2147x strategic 2 OK answer-check 1.9306 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:52:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.31 = 10.84+1.85y strategic 1 OK answer-check -1.9081 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:54:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 40+(-52y) strategic 1 ERROR answer-check 0.961 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:54:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 40+(-52y) strategic 2 ERROR answer-check 0.9615 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:55:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 40+(-52y) strategic 3 ERROR answer-check -0.961 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:56:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 40+(-52y) strategic 4 OK answer-check 2.5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:58:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.52 = 7.79+(-7.22x) strategic 1 ERROR answer-check -0.314 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 08:59:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.52 = 7.79+(-7.22x) strategic 2 ERROR answer-check 0.314 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:01:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.52 = 7.79+(-7.22x) strategic 3 ERROR answer-check -1.7086 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:01:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.52 = 7.79+(-7.22x) strategic 4 OK answer-check 1.8435 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:02:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 90+94y = -56 strategic 1 ERROR answer-check 0.3617 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:03:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 90+94y = -56 strategic 2 ERROR answer-check 0.5957 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:05:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 90+94y = -56 strategic 3 ERROR answer-check -0.361 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:05:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 90+94y = -56 strategic 4 OK answer-check -1.5532 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:10:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -4.72 = 9.09x+5.54 strategic 1 OK answer-check -1.1320 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:11:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 62 = -57+26y strategic 1 ERROR answer-check 0.1923 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:11:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 62 = -57+26y strategic 2 ERROR answer-check 5.2 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:12:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 62 = -57+26y strategic 3 OK answer-check 4.576 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:13:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 10.28 = 12.04x+6.52 strategic 1 ERROR answer-check 0.3372 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:14:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 10.28 = 12.04x+6.52 strategic 2 OK answer-check 0.3122 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:16:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 5y+(-38) = 34 strategic 1 ERROR answer-check 0.069 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:17:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 5y+(-38) = 34 strategic 2 OK answer-check 72/5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:18:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 68.29 = 92.79+(-20.04x) strategic 1 OK answer-check 1.222 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:19:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 11.44 = 13.15y+13.35 strategic 1 ERROR answer-check -1.452 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:19:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 11.44 = 13.15y+13.35 strategic 2 ERROR answer-check -19.1/13.15 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:20:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 11.44 = 13.15y+13.35 strategic 3 OK answer-check -0.145 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:21:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1158x+4400 = 831 strategic 1 ERROR answer-check 3.082 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:22:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1158x+4400 = 831 strategic 2 OK answer-check -3.082 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:23:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -143 = 9088y+(-6539) strategic 1 ERROR answer-check 0.0703 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:23:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -143 = 9088y+(-6539) strategic 2 OK answer-check 0.703 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:25:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 9.96y+(-6.64) = -13.08 strategic 1 ERROR answer-check -.066 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:25:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 9.96y+(-6.64) = -13.08 strategic 2 ERROR answer-check -0.666 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:26:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 9.96y+(-6.64) = -13.08 strategic 3 OK answer-check -0.6465 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:26:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 89+73x = -58 strategic 1 OK answer-check -2.013 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:28:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -84.53 = 4.3+96.15y strategic 1 OK answer-check -0.923 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:29:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 9.55+14.3y = -2.35 strategic 1 OK answer-check -0.832 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:30:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C -4.39 = -2.54y+13.81 strategic 1 OK answer-check 7.1653 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:31:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 6139 = -181+9433y strategic 1 ERROR answer-check 0.6316 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:32:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 6139 = -181+9433y strategic 2 OK answer-check 0.669 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:32:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -3.39 = 10.14x+11.75 strategic 1 OK answer-check -1.4930 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:33:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -65+(-19x) = -91 strategic 1 OK answer-check 1.3684 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:34:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A 424/y+(-906) = 860 strategic 1 OK answer-check 212/883 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:36:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 98 = -23+(-4/x) strategic 1 ERROR answer-check -30.25 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 59v7i97 session0 2007-04-26 09:36:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 98 = -23+(-4/x) strategic 2 OK answer-check -0.033 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 619gQzH session0 2007-04-16 13:28:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:28:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR rf -4058 = -1144y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:28:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 ERROR mt -4058 = -1144y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 3 BUG add 1144 In -1144y, y is multiplied by -1144. How do you undo multiplication? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:28:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2914 = -1144y+1144 strategic 1 ERROR rf -2914 = -1144y+1144 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:29:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 4 BUG add -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -8116 = -1144y-4058 strategic 1 ERROR mt -8116 = -1144y-4058 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:29:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -8116 = -1144y-4058 strategic 2 ERROR rds -8116 = -1144y-4058 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:29:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -8116 = -1144y-4058 strategic 3 ERROR clt -8116 = -1144y-4058 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:30:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 5 ERROR distribute -4058 = -1144y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:30:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 6 ERROR mt -4058 = -1144y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:30:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 7 ERROR clt -4058 = -1144y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:30:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 8 BUG add -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:30:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -8116 = -1144y-4058 strategic 4 ERROR clt -8116 = -1144y-4058 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:31:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -8116 = -1144y-4058 strategic 5 BUG add -8116 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:31:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 9 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:32:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:33:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:33:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 64+95x = -18 strategic 1 BUG add -18 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:33:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 46+95x = -36 strategic 1 BUG add -36 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:34:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 10+95x = -72 strategic 1 ERROR subtract 72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:34:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 64+95x = -18 strategic 2 OK subtract 64 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:34:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 95x = -82 strategic 1 OK divide 95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:34:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 64+95x = -18 strategic 3 ERROR answer-check condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:34:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 64+95x = -18 strategic 4 ERROR answer-check 82/95 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:35:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 x = -82/95 strategic 1 BUG rf x = -82/95 strategic You already solved the equation. x is -82/95. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:35:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 64+95x = -18 strategic 5 OK answer-check -82/95 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:35:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -9.49 = 4.8+(-73.6x) strategic 1 OK subtract 4.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:35:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -14.29 = -73.6x strategic 1 BUG divide 73.6 In this equation, x is multiplied by -73.6. Dividing by 73.6 leaves -x, so you still need to remove the negative sign. It is better to divide by -73.6, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:36:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -9.49 = 4.8+(-73.6x) strategic 2 ERROR answer-check -0.1942 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:37:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -9.49 = 4.8+(-73.6x) strategic 3 OK subtract 4.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:37:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -14.29 = -73.6x strategic 2 OK divide -73.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:37:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -9.49 = 4.8+(-73.6x) strategic 4 OK answer-check 0.1942 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:38:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 1 ERROR subtract 8608 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:38:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 2 BUG add -9691 To remove -9691 from the left side, you can add a positive to it. Erase your last step and add 9691 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y-19382 = -16128 strategic 1 OK add 19382 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session0 2007-04-16 13:39:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 1 ERROR divide 8608 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:52:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 1 ERROR rf 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:52:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 2 ERROR clt 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:52:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 3 ERROR mt 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:52:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 4 ERROR distribute 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 1 OK subtract -9691 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 2 OK subtract -9691 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 1 ERROR clt 8680y = 3254 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 2 ERROR mt 8680y = 3254 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 3 ERROR rds 8680y = 3254 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:53:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 4 ERROR mt 8680y = 3254 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 5 BUG divide 8680y Dividing anything by itself will leave 1. If you divide 8680y by 8680, y will be left. Erase your last step and then divide by 8680. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:54:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 1 ERROR rf 1 = 1627/(4340y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:54:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 2 ERROR multiply -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:54:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 3 ERROR distribute 1 = 1627/(4340y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:54:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 4 ERROR rf 1 = 1627/(4340y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 5 BUG multiply 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 6 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:55:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 7 ERROR clt 1 = 1627/(4340y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:55:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 8 ERROR mt 1 = 1627/(4340y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 9 BUG subtract 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1 = 1627/(4340y) strategic 10 ERROR add 1627 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:56:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 6 ERROR subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:56:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y-4 = 3250 strategic 1 ERROR divide -31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:57:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -(8680y-4)/31 = -3250/31 strategic 1 ERROR rf -(8680y-4)/31 = -3250/31 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:57:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -(8680y-4)/31 = -3250/31 strategic 2 ERROR rds -(8680y-4)/31 = -3250/31 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:57:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -(8680y-4)/31 = -3250/31 strategic 3 ERROR clt -(8680y-4)/31 = -3250/31 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:57:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 3 ERROR answer-check 31 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y = 3254 strategic 7 ERROR divide 8608 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 5 ERROR rf 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 6 ERROR clt 1085y/1076 = 1627/4304 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 7 ERROR divide 4304 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 4 ERROR answer-check 31 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:58:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 5 ERROR answer-check 4304 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:59:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076 = 1627/4304 strategic 8 ERROR add 9691 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:59:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1085y/1076+9691 = 41711691/4304 strategic 1 ERROR divide 8608 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 12:59:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (1085y/1076+9691)/8608 = 41711691/37048832 strategic 1 ERROR rf (1085y/1076+9691)/8608 = 41711691/37048832 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:00:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (1085y/1076+9691)/8608 = 41711691/37048832 strategic 2 ERROR rf (1085y/1076+9691)/8608 = 41711691/37048832 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:00:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8680y+(-9691) = -6437 strategic 6 OK answer-check .3749 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:00:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y+(-2.79) = 8.54 strategic 1 BUG add -2.79 To remove -2.79 from the left side, you can add a positive to it. Erase your last step and add 2.79 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:01:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y-5.58 = 5.75 strategic 1 BUG subtract 5.58 Since -5.58 is negative, you should add to remove it from the left side. Erase your last step and add 5.58 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:01:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y-11.16 = 0.17 strategic 1 ERROR rf -7.02y-11.16 = 0.17 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:01:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y+(-2.79) = 8.54 strategic 2 OK subtract -2.79 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:01:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y = 11.33 strategic 1 BUG divide 7.02 In this equation, y is multiplied by -7.02. Dividing by 7.02 leaves -y, so you still need to remove the negative sign. It is better to divide by -7.02, since that would leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:01:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -y = 1.61396011 strategic 1 ERROR rf -y = 1.61396011 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -y = 1.61396011 strategic 2 OK multiply -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:02:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.02y+(-2.79) = 8.54 strategic 3 OK answer-check -1.6140 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:02:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -16+60y = 6 strategic 1 BUG subtract 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:02:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -16+60y = 6 strategic 2 OK subtract -16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:03:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 60y = 22 strategic 1 OK divide 60 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:03:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -16+60y = 6 strategic 3 OK answer-check 11/30 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:03:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -9.06 = 10.23+7.79x strategic 1 OK subtract 10.23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:03:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -19.29 = 7.79x strategic 1 ERROR divide 7079 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:04:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.00272496 = 0.00110044x strategic 1 ERROR mt -0.00272496 = 0.00110044x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:04:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.00272496 = 0.00110044x strategic 2 ERROR clt -0.00272496 = 0.00110044x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:04:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.00272496 = 0.00110044x strategic 3 OK divide 0.0011 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:04:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -9.06 = 10.23+7.79x strategic 2 OK answer-check -2.4762 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:05:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 1 OK subtract 13.41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y-13.41 = 0.94-13.41 left 1 OK left 27.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:05:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 27.22 = 0.94-13.41 right 1 OK right -13.41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:06:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 2 ERROR answer-check -13.41 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:06:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 3 ERROR answer-check 27.22 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:06:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 4 OK subtract 13.41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:06:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y-13.41 = 0.94-13.41 left 2 OK left 27.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:08:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 27.22 = 0.94-13.41 right 2 OK right 13.81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:08:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 5 ERROR answer-check 13.81 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:08:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.41+13.81y = 0.94 strategic 6 OK answer-check -0.903 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:16:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y) = 3411 strategic 1 OK add 7436 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:17:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y)+7436 = 3411+7436 left 1 OK left -4990 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4990 = 3411+7436 right 1 OK right 10847 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:18:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y) = 3411 strategic 2 ERROR answer-check 10847 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y) = 3411 strategic 3 ERROR answer-check 14990 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:18:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y) = 3411 strategic 4 ERROR answer-check 4990 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:18:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7436+(-2446y) = 3411 strategic 5 OK answer-check -4.4346 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 1 ERROR subtract 1409 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:19:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 2 OK subtract 14.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35-14.9 = 14.9+12.67y-14.9 left 1 OK left -21.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:20:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -21.25 = 14.9+12.67y-14.9 right 1 OK right 12.67 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:20:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 3 ERROR answer-check 12.67 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:21:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 4 ERROR answer-check -21.25 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:21:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 5 ERROR answer-check -6.35 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:21:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.35 = 14.9+12.67y strategic 6 OK answer-check -1.6772 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 1 OK subtract 92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60-92 = -95y+92-92 left 1 OK left -32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -32 = -95y+92-92 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -32 = 0 strategic 1 BUG divide -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -32/-32 = 0/-32 left 1 OK left -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -1 = 0/-32 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:22:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 2 ERROR answer-check 1 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:23:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 3 ERROR answer-check 0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 4 BUG add 92 Since 92 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 92 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:23:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60+92 = -95y+92+92 left 1 OK left 152 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:24:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 152 = -95y+92+92 right 1 OK right 89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:24:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 152 = 89 strategic 1 BUG divide 89 You want to isolate -something- by removing 89 from the right side. 89 is added to -something-. What is the opposite of addition? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:24:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 152/89 = 89/89 left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:24:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 2 = 89/89 right 1 OK right 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:25:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 5 BUG subtract 60 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60-60 = -95y+92-60 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:25:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -95y+92-60 right 1 OK right 32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:25:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 6 ERROR answer-check 32 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:25:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = -95y+92 strategic 7 OK answer-check 0.3368 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:26:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 1 OK subtract 25.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:27:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x-25.89 = 19.17-25.89 left 1 OK left 114.52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:27:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 114.52 = 19.17-25.89 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:27:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 2 ERROR answer-check 114.52 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:28:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 3 BUG add 25.89 Since 25.89 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 25.89 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:28:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 4 ERROR subtract 19.7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:28:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x-19.7 = 19.17-19.7 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:29:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x-19.7 = x left 1 OK left 25.89+62.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:29:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 5 ERROR answer-check 25.89+62.74 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:30:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 6 ERROR answer-check 88.63 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:30:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 25.89+62.74x = 19.17 strategic 7 OK answer-check -0.1071 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 1 BUG add -8504 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:31:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504+(-8504) = 4334y+4321+(-8504) left 1 OK left -17008 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:32:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -17008 = 4334y+4321+(-8504) right 1 OK right 17159 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:32:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -17008 = 17159 strategic 1 BUG divide -1708 You already solved the equation. -17008 can never be equal to 17159, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:33:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -17008/-1708 = 17159/-1708 left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:33:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1 = 17159/-1708 right 1 OK right 10.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:33:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 2 ERROR answer-check 10.04 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:33:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 3 ERROR answer-check 1 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:34:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 4 OK subtract 4321 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:35:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504-4321 = 4334y+4321-4321 left 1 OK left -12825 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:35:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -12825 = 4334y+4321-4321 right 1 OK right 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:35:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 5 ERROR answer-check 13 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:36:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8504 = 4334y+4321 strategic 6 OK answer-check -2.9592 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session1 2007-04-20 13:39:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65 = -7.28y+(-12.16) strategic 1 ERROR answer-check 12.65 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session2 2007-04-25 13:25:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65 = -7.28y+(-12.16) strategic 1 BUG add -12.16 To remove -12.16 from the right side, you can add a positive to it. Erase your last step and add 12.16 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session2 2007-04-25 13:27:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65+(-12.16) = -7.28y+(-12.16)+(-12.16) left 1 OK left -0.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session2 2007-04-25 13:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -0.49 = -7.28y+(-12.16)+(-12.16) right 1 OK right -31.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session2 2007-04-25 13:28:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -0.49 = -31.6 strategic 1 BUG mt -0.49 = -31.6 strategic You already solved the equation. -0.49 can never be equal to -31.6, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session2 2007-04-25 13:28:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -0.49 = -31.6 strategic 2 BUG clt -0.49 = -31.6 strategic You already solved the equation. -0.49 can never be equal to -31.6, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:51:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65 = -7.28y+(-12.16) strategic 1 ERROR answer-check 12.65 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:51:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65 = -7.28y+(-12.16) strategic 2 ERROR answer-check 31.6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:52:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.65 = -7.28y+(-12.16) strategic 3 OK answer-check -3.408 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20 = 81y+41 strategic 1 OK subtract 41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:53:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20-41 = 81y+41-41 left 1 OK left -61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:53:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -61 = 81y+41-41 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20 = 81y+41 strategic 2 ERROR answer-check -61 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20 = 81y+41 strategic 3 ERROR answer-check 81 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:54:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20 = 81y+41 strategic 4 ERROR answer-check -81 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:54:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -20 = 81y+41 strategic 5 OK answer-check -0.7531 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:55:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -14.8y+(-5.15) strategic 1 BUG add -5.15 To remove -5.15 from the right side, you can add a positive to it. Erase your last step and add 5.15 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:56:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59+(-5.15) = -14.8y+(-5.15)+(-5.15) left 1 OK left 8.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:57:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.74 = -14.8y+(-5.15)+(-5.15) right 1 OK right 21.5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:57:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.74 = 21.5y strategic 1 OK divide 21.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:57:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.74/21.5 = 21.5y/21.5 left 1 OK left 2.459 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:58:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 2.459 = 21.5y/21.5 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -14.8y+(-5.15) strategic 2 ERROR answer-check 2.459 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:58:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -14.8y+(-5.15) strategic 3 ERROR answer-check 2.4 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:58:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -14.8y+(-5.15) strategic 4 ERROR answer-check 2.45 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:59:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -14.8y+(-5.15) strategic 5 OK answer-check -0.5905 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:59:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18 = 68+(-49x) strategic 1 OK subtract 68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 12:59:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18-68 = 68+(-49x)-68 left 1 OK left -50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:00:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -50 = 68+(-49x)-68 right 1 OK right -49x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:00:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -50 = -49x strategic 1 OK divide -49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:00:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -50/-49 = -49x/-49 left 1 OK left -99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:01:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -99 = -49x/-49 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18 = 68+(-49x) strategic 2 ERROR answer-check -99 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:01:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18 = 68+(-49x) strategic 3 ERROR answer-check -98 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:01:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18 = 68+(-49x) strategic 4 ERROR answer-check -0.99 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18 = 68+(-49x) strategic 5 OK answer-check 1.0204 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:02:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079 = -5247+394x strategic 1 BUG subtract 5247 Since -5247 is negative, you should add to remove it from the right side. Erase your last step and add 5247 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:03:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079-5247 = -5247+394x-5247 left 1 OK left -12326 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:04:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -12326 = -5247+394x-5247 right 1 OK right -10400x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:04:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -12326 = -10400x strategic 1 BUG divide 10400 In this equation, x is multiplied by -10400. Dividing by 10400 leaves -x, so you still need to remove the negative sign. It is better to divide by -10400, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:05:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -12326/10400 = -10400x/10400 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -12326/10400 = x left 1 OK left -1.185 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079 = -5247+394x strategic 2 ERROR answer-check -1.1852 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079 = -5247+394x strategic 3 ERROR answer-check -1.1851 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:07:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079 = -5247+394x strategic 4 ERROR answer-check -1.1851923 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:08:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7079 = -5247+394x strategic 5 OK answer-check -4.6497 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:08:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92) = -9.75 strategic 1 OK add 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:09:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92)+11.92 = -9.75+11.92 left 1 OK left -4.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:09:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92) = -9.75 strategic 2 OK add 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92)+11.92 = -9.75+11.92 left 2 OK left 17.87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 17.87 = -9.75+11.92 right 1 OK right 21.67 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:11:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92) = -9.75 strategic 3 OK add 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:11:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92)+11.92 = -9.75+11.92 left 3 OK left 7.87x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:12:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x = -9.75+11.92 right 1 OK right 2.17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:12:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x = 2.17 strategic 1 OK divide 7.87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:12:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x/7.87 = 2.17/7.87 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:12:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 2.17/7.87 right 1 OK right 0.275 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:13:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.87x+(-11.92) = -9.75 strategic 4 OK answer-check 0.2757 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:13:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 1 OK subtract -54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:14:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y)-(-54) = 31-(-54) left 1 OK left -184 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184 = 31-(-54) right 1 OK right -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:14:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184 = -23 strategic 1 BUG divide -184 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:14:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184/-184 = -23/-184 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:15:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -23/-184 right 1 OK right -207 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:15:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 2 ERROR answer-check -207 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:15:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 3 ERROR answer-check 0.125 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:16:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 4 BUG add -54 To remove -54 from the left side, you can add a positive to it. Erase your last step and add 54 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y)+(-54) = 31+(-54) left 1 OK left -184y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:17:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184y = 31+(-54) right 1 OK right -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:17:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184y = -23 strategic 1 OK divide -184 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -184y/-184 = -23/-184 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:17:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -23/-184 right 2 OK right -230 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 5 ERROR answer-check -230 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:18:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54+(-76y) = 31 strategic 6 OK answer-check -1.1184 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:18:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37 = -7.22 strategic 1 OK subtract 9.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:19:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37-9.37 = -7.22-9.37 left 1 OK left 3.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:20:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37 = -7.22 strategic 2 ERROR subtract 3.96y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:20:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37 = -7.22 strategic 3 OK subtract 9.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:21:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37-9.37 = -7.22-9.37 left 2 OK left 3.96y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:21:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y = -7.22-9.37 right 1 OK right -16.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:21:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y = -16.59 strategic 1 OK divide 3.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:21:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y/3.96 = -16.59/3.96 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:22:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = -16.59/3.96 right 1 OK right -4.189 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session3 2007-04-27 13:22:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.96y+9.37 = -7.22 strategic 4 OK answer-check -4.1894 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.87 = 12.48x+0.19 strategic 1 OK subtract 0.19 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:55:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.87-0.19 = 12.48x+0.19-0.19 right 1 OK right 12.48x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.87-0.19 = 12.48x left 1 OK left 8.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:55:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.68 = 12.48x strategic 1 ERROR divide 12.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:55:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.68 = 12.48x strategic 2 OK divide 12.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:56:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.68/12.48 = 12.48x/12.48 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:56:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.68/12.48 = x left 1 OK left 8.68/12.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 619gQzH session4 2007-05-04 09:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.68/12.48 = x strategic 1 OK rf 8.68/12.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 64e9hEp session0 2007-04-17 12:04:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:04:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:05:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 1.58y+(-2.14) = -2.99 strategic 1 OK add 2.14 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:05:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 1.58y = -0.85 strategic 1 OK divide 1.58 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:05:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -67 = -15x+(-62) strategic 1 OK add 62 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:05:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -5 = -15x strategic 1 OK divide -15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:06:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -47.58+61.8y = 78.62 strategic 1 OK add 47.58 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:06:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 61.8y = 126.2 strategic 1 OK divide 61.8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:07:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -4 = -88x+(-11) strategic 1 BUG subtract 11 Since -11 is negative, you should add to remove it from the right side. Erase your last step and add 11 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -4 = -88x+(-11) strategic 2 OK add 11 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:07:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 7 = -88x strategic 1 OK divide -88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:07:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -6989+3860x = -448 strategic 1 BUG subtract 6989 Since -6989 is negative, you should add to remove it from the left side. Erase your last step and add 6989 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:08:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -6989+3860x = -448 strategic 2 BUG add -6989 To remove -6989 from the left side, you can add a positive to it. Erase your last step and add 6989 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:08:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -6989+3860x = -448 strategic 3 OK add 6989 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3860x = 6541 strategic 1 OK divide 3860 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:08:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 9.61y+(-11.47) = 8.99 strategic 1 BUG subtract 11.47 Since -11.47 is negative, you should add to remove it from the left side. Erase your last step and add 11.47 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:09:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 9.61y+(-11.47) = 8.99 strategic 2 OK add 11.47 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:09:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 9.61y = 20.46 strategic 1 OK divide 9.61 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:09:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -2.35 = -8.33+(-4.41x) strategic 1 ERROR add 4.41 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:09:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -2.35 = -8.33+(-4.41x) strategic 2 OK add 8.33 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:10:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 5.98 = -4.41x strategic 1 OK divide -4.41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:10:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8729+1091y = -9985 strategic 1 ERROR add 9985 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:10:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8729+1091y = -9985 strategic 2 BUG add 8729 Since 8729 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 8729 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:10:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8729+1091y = -9985 strategic 3 OK subtract 8729 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:11:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8729+1091y-8729 = -9985-8729 left 1 OK left 1091y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:12:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 1091y = -9985-8729 right 1 OK right -18714 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:12:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 1091y = -18714 strategic 1 OK divide 1091 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:12:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 1091y/1091 = -18714/1091 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:12:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = -18714/1091 right 1 OK right -17.15 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:13:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x+0.76 = -1.91 strategic 1 BUG add 0.76 Since 0.76 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 0.76 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:13:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x+0.76 = -1.91 strategic 2 OK subtract 0.76 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:13:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x+0.76-0.76 = -1.91-0.76 left 1 OK left -2.82x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:14:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x = -1.91-0.76 right 1 OK right -2.67 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:14:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x = -2.67 strategic 1 OK divide -2.82 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:14:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.82x/-2.82 = -2.67/-2.82 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:14:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -2.67/-2.82 right 1 ERROR right -5.49 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:15:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -2.67/-2.82 right 2 ERROR right 0.94 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:15:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -2.67/-2.82 right 3 OK right 0.9468 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:16:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.02 = -10.61+5.72y strategic 1 BUG add -10.61 To remove -10.61 from the right side, you can add a positive to it. Erase your last step and add 10.61 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.02 = -10.61+5.72y strategic 2 BUG add -10.61 To remove -10.61 from the right side, you can add a positive to it. Erase your last step and add 10.61 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:17:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.02 = -10.61+5.72y strategic 3 OK add 10.61 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:17:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.02+10.61 = -10.61+5.72y+10.61 right 1 OK right 5.72y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:18:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.02+10.61 = 5.72y left 1 OK left 10.59 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:18:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 10.59 = 5.72y strategic 1 OK divide 5.72 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:18:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 10.59/5.72 = 5.72y/5.72 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:18:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 10.59/5.72 = y left 1 OK left 1.851 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:19:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -812/y+(-458) = 711 strategic 1 OK add 458 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:19:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -812/y = 1169 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:19:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -812 = 1169y strategic 1 OK divide 1169 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:19:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -116/167 = y strategic 1 BUG rf -116/167 = y strategic You already solved the equation. y is -116/167. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:20:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-179/x) = 642 strategic 1 ERROR add x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:21:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-179/x) = 642 strategic 2 BUG subtract 342 Since -342 is negative, you should add to remove it from the left side. Erase your last step and add 342 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:21:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-179/x) = 642 strategic 3 OK add 342 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:21:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -179/x = 984 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:21:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -179 = 984x strategic 1 OK divide 984 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:22:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 62 = 7/x+(-30) strategic 1 OK add 30 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:22:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 92 = 7/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:22:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 92x = 7 strategic 1 OK divide 92 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:23:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -352+(-775/y) = 283 strategic 1 OK add 352 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:23:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -775/y = 635 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:23:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -775 = 635y strategic 1 OK divide 635 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:24:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y+(-21) = -73 strategic 1 OK add 21 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:24:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y+(-21)+21 = -73+21 left 1 OK left -68/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:24:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y = -73+21 right 1 OK right -52 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:24:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y = -52 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:24:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y*y = -52y left 1 ERROR left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:25:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y*y = -52y left 2 ERROR left -68y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:25:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y*y = -52y right 1 OK right -52y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:26:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/y*y = -52y left 3 OK left -68 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:26:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68 = -52y strategic 1 OK divide -52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:26:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/-52 = -52y/-52 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:26:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -68/-52 = y left 1 OK left 1.3076 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975+975/x = -713 strategic 1 BUG add 975 Since 975 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 975 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:27:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975+975/x = -713 strategic 2 BUG add 975 Since 975 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 975 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:28:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975+975/x = -713 strategic 3 OK subtract 975 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:28:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975+975/x-975 = -713-975 left 1 OK left 975/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/x = -713-975 right 1 BUG right 1688 You need to calculate -713 minus 975, not 975 minus -713. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:28:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/x = -713-975 right 2 OK right -1688 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:28:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/x = -1688 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:29:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/x*x = -1688x left 1 OK left 975 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975 = -1688x right 1 OK right -1688x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:29:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975 = -1688x strategic 1 OK divide -1688 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/-1688 = -1688x/-1688 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:29:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 975/-1688 = x left 1 OK left -0.5776 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:32:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 98+(-85/x) = -30 strategic 1 BUG add 98 Since 98 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 98 from both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 98+(-85/x) = -30 strategic 2 OK subtract 98 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 98+(-85/x)-98 = -30-98 left 1 OK left -85/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85/x = -30-98 right 1 OK right -128 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85/x = -128 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85/x*x = -128x left 1 OK left -85 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85 = -128x right 1 OK right -128x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85 = -128x strategic 1 OK divide -128 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:34:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85/-128 = -128x/-128 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85/-128 = x left 1 OK left 0.6640 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:34:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/x+730 = 34 strategic 1 OK subtract 730 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/x+730-730 = 34-730 left 1 OK left 347/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/x = 34-730 right 1 OK right -696 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/x = -696 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/x*x = -696x left 1 OK left 347 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347 = -696x right 1 BUG right -696 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347 = -696x right 2 OK right -696x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347 = -696x strategic 1 OK divide -696 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:35:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/-696 = -696x/-696 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/-696 = x left 1 ERROR left -0498 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:36:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/-696 = x left 2 ERROR left -04985 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:36:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 347/-696 = x left 3 OK left -0.4985 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:36:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -8x+7 = 1x+(-8) strategic 1 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:37:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -8x = x-15 strategic 1 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:37:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9x = -15 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:37:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8x+(-3) = -4x+(-6) strategic 1 OK subtract -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:38:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8x = -4x-3 strategic 1 OK subtract -4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:38:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = -3 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:38:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4+(-6x) = 4x+4 strategic 1 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:40:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4+(-6x) = 4x+4 strategic 2 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:40:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x = 4x strategic 1 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:40:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10x = 0 strategic 1 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:41:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8+(-7y) = -8+(-6y) strategic 1 OK add 8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:41:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = -6y strategic 1 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:41:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = 0 strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:42:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+2 = 7x+(-8) strategic 1 BUG add 2 Since 2 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 2 from both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:43:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+2 = 7x+(-8) strategic 2 OK subtract 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:43:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+2-2 = 7x+(-8)-2 left 1 OK left -5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:43:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 1 ERROR right -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:43:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 2 ERROR right -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session0 2007-04-17 12:43:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 3 ERROR right -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:02:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 1 ERROR right -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:02:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 2 ERROR right -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:03:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-8)-2 right 3 OK right 7x+-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:04:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-10) strategic 1 ERROR subtract -7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:04:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 7x+(-10) strategic 2 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:04:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x-7x = 7x+(-10)-7x right 1 OK right -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:05:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x-7x = -10 left 1 OK left -12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:05:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12x = -10 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:05:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12x/-12 = -10/-12 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:05:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10/-12 right 1 OK right .8333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+5x = -7+1x strategic 1 OK add 10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+5x+10 = -7+1x+10 left 1 OK left 5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = -7+1x+10 right 1 ERROR right 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = -7+1x+10 right 2 ERROR right 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = -7+1x+10 right 3 OK right 3+1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:08:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = 3+1x strategic 1 OK unnec-elems 5x=3+1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:09:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = 3+x strategic 1 ERROR multiply x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:09:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+5x = -7+1x strategic 2 OK add 10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:09:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+5x+10 = -7+1x+10 left 2 OK left 5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:10:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = -7+1x+10 right 4 ERROR right 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:11:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = -7+1x+10 right 5 OK right 1x+3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:11:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = 1x+3 strategic 1 OK unnec-elems 5x=1x+3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:11:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x = x+3 strategic 1 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:11:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = x+3-x left 1 BUG left 5x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:11:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = x+3-x left 2 BUG left 5 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:12:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = x+3-x right 1 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:12:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = 3 left 1 BUG left 5x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:13:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = 3 left 2 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:13:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = 3 left 3 BUG left 5 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:13:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5x-x = 3 left 4 OK left 4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:13:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 3 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:13:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x/4 = 3/4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:14:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 3/4 right 1 OK right 0.75 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:15:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+4x = 7+(-8x) strategic 1 OK add 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:15:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+4x+7 = 7+(-8x)+7 left 1 OK left 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:16:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 7+(-8x)+7 right 1 OK right -8x+14 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:16:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -8x+14 strategic 1 ERROR subtract 14 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:16:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -8x+14 strategic 2 ERROR subtract -8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:17:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+4x = 7+(-8x) strategic 2 OK rds -7+4x = 7+(-8x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:18:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+4x = 7-8x strategic 1 OK add 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:18:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+4x+7 = 7-8x+7 left 1 OK left 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:18:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 7-8x+7 right 1 OK right 14-8x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:19:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 14-8x strategic 1 OK add 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:19:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x+8x = 14-8x+8x left 1 OK left 12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:19:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x = 14-8x+8x right 1 OK right 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:19:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x = 14 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:19:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x/12 = 14/12 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:20:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 14/12 right 1 OK right 1.1666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:20:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+8y = -9+4y strategic 1 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:20:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+8y-4 = -9+4y-4 left 1 OK left 8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:21:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y = -9+4y-4 right 1 OK right -13+4y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:21:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y = -13+4y strategic 1 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:21:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y-4y = -13+4y-4y left 1 OK left 4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:21:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = -13+4y-4y right 1 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:22:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = -13 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:22:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = -13/4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:22:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -13/4 right 1 OK right -3.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:22:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 0+(-9.46y) = -0.81+(-2.53y) strategic 1 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:22:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.46y = -0.81-2.53y strategic 1 OK add 2.53y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.93y = -0.81 strategic 1 ERROR clt -6.93y = -0.81 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:23:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.93y = -0.81 strategic 2 BUG divide -6.93y Dividing anything by itself will leave 1. If you divide -6.93y by -6.93, y will be left. Erase your last step and then divide by -6.93. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:24:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.93y = -0.81 strategic 3 OK divide -6.93 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:24:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.41+1.42y = -2.66+6.54y strategic 1 ERROR subtract -27.91 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:25:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.41+1.42y = -2.66+6.54y strategic 2 OK add 6.41 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:26:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.42y = 3.75+6.54y strategic 1 ERROR subtract 6.54 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:27:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.42y = 3.75+6.54y strategic 2 OK subtract 6.54y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:27:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.12y = 3.75 strategic 1 OK divide -5.12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:28:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+8.55 = 1.55+(-9.76x) strategic 1 OK rds 6.65x+8.55 = 1.55+(-9.76x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:28:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+8.55 = 1.55-9.76x strategic 1 BUG add 8.55 Since 8.55 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 8.55 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+8.55 = 1.55-9.76x strategic 2 OK subtract 1.55 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:29:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+7 = -9.76x strategic 1 ERROR add 6.65x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+7 = -9.76x strategic 2 OK add 9.76x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:29:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.41x+7 = 0 strategic 1 ERROR clt 16.41x+7 = 0 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:29:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+7 = -9.76x strategic 3 ERROR add 6.65 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:30:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+8.55 = 1.55+(-9.76x) strategic 2 OK rds 6.65x+8.55 = 1.55+(-9.76x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:30:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x+8.55 = 1.55-9.76x strategic 3 OK subtract 8.55 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x = -7-9.76x strategic 1 ERROR add 9.76 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.65x = -7-9.76x strategic 2 OK add 9.76x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:31:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.41x = -7 strategic 1 OK divide 16.41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:31:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.51+8.82y = 3.23y+8.11 strategic 1 OK subtract 8.11 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:32:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62+8.82y = 3.23y strategic 1 ERROR add 3.23 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:32:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62+8.82y = 3.23y strategic 2 ERROR add 3.23y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:32:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62+8.82y = 3.23y strategic 3 ERROR add 8.82y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:33:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62+8.82y = 3.23y strategic 4 OK subtract 8.82y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:33:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62 = -5.59y strategic 1 BUG divide -5.59y Dividing anything by itself will leave 1. If you divide -5.59y by -5.59, y will be left. Erase your last step and then divide by -5.59. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.62 = -5.59y strategic 2 OK divide -5.59 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:34:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.31x+2.16 = -9.5+7.82x strategic 1 BUG add 2.16 Since 2.16 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 2.16 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.31x+2.16 = -9.5+7.82x strategic 2 OK subtract 2.16 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:35:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.31x = -11.66+7.82x strategic 1 OK subtract 7.82x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:35:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -16.13x = -11.66 strategic 1 OK divide -16.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:37:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 1 BUG subtract 3.58 Since -3.58 is negative, you should add to remove it from the both side. Erase your last step and add 3.58 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:37:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 2 OK add 3.58 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y = -0.58y+8.24 strategic 1 ERROR add 7.56 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:38:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y = -0.58y+8.24 strategic 2 OK subtract 7.56y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:38:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 3 OK rds 7.56y+(-3.58) = -0.58y+4.66 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:39:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 1 OK add 3.58 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:39:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y = -0.58y+8.24 strategic 3 OK subtract 7.56y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session1 2007-04-19 12:39:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0 = -8.14y+8.24 strategic 1 ERROR clt 0 = -8.14y+8.24 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:00:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 1 ERROR distribute 7.56y+(-3.58) = -0.58y+4.66 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:00:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 2 OK rds 7.56y+(-3.58) = -0.58y+4.66 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:03:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 1 BUG subtract 3.58 Since -3.58 is negative, you should add to remove it from the both side. Erase your last step and add 3.58 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:03:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 2 OK add 3.58 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:03:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y = -0.58y+8.24 strategic 1 ERROR subtract 0.58y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session2 2007-04-24 12:03:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y = -0.58y+8.24 strategic 2 ERROR subtract 0.58 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:28:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y+(-3.58) = -0.58y+4.66 strategic 1 OK rds 7.56y+(-3.58) = -0.58y+4.66 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:28:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 1 ERROR add 0.58 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 2 ERROR add 0.58 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.56y-3.58 = -0.58y+4.66 strategic 3 OK add 0.58y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:29:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.14y-3.58 = 4.66 strategic 1 OK add 3.58 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:30:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.14y = 8.24 strategic 1 OK divide 8.14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:30:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.36+(-9.83x) = 6.27x+6.89 strategic 1 OK rds -0.36+(-9.83x) = 6.27x+6.89 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:30:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.36-9.83x = 6.27x+6.89 strategic 1 ERROR add 6.27x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.36-9.83x = 6.27x+6.89 strategic 2 OK add 9.83x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:31:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.36 = 16.1x+6.89 strategic 1 OK subtract 6.89 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:31:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.25 = 16.1x strategic 1 OK divide 16.1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:31:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.75+(-9.73x) = 7.5+0.35x strategic 1 OK rds 3.75+(-9.73x) = 7.5+0.35x strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:32:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.75-9.73x = 7.5+0.35x strategic 1 OK add 9.73x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:32:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.75 = 7.5+10.08x strategic 1 OK subtract 7.5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:32:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.75 = 10.08x strategic 1 OK divide 10.08 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.29+(-3.41y) = -5.63+5.35y strategic 1 OK rds -9.29+(-3.41y) = -5.63+5.35y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:33:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.29-3.41y = -5.63+5.35y strategic 1 OK add 3.41y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.29 = -5.63+8.76y strategic 1 OK add 5.63 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:34:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.66 = 8.76y strategic 1 OK divide 8.76 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:34:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.47+(-8.06x) = -2.16x+(-7.19) strategic 1 OK rds -0.47+(-8.06x) = -2.16x+(-7.19) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:36:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.47-8.06x = -2.16x-7.19 strategic 1 ERROR add 8.06 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:36:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.47-8.06x = -2.16x-7.19 strategic 2 OK add 8.06x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:36:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.47 = 5.9x-7.19 strategic 1 OK add 7.19 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:36:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.72 = 5.9x strategic 1 OK divide 5.9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:37:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x+(-6.96) = 6.44x+(-5.3) strategic 1 OK rds 1.08x+(-6.96) = 6.44x+(-5.3) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:37:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x-6.96 = 6.44x-5.3 strategic 1 OK add 6.96 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:37:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 1 ERROR subtract 1.66 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x-6.96 = 6.44x-5.3 strategic 2 ERROR add 108x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x-6.96 = 6.44x-5.3 strategic 3 ERROR add 6.44x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:39:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x-6.96 = 6.44x-5.3 strategic 4 OK add 6.96 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session3 2007-04-24 12:39:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 2 ERROR add 1.08 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 11:59:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x+(-6.96) = 6.44x+(-5.3) strategic 1 ERROR distribute 1.08x+(-6.96) = 6.44x+(-5.3) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 11:59:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x+(-6.96) = 6.44x+(-5.3) strategic 2 OK rds 1.08x+(-6.96) = 6.44x+(-5.3) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:00:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x-6.96 = 6.44x-5.3 strategic 1 OK add 6.96 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:00:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 1 ERROR add 644 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:01:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 2 ERROR subtract 6.44 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 3 ERROR add 1.08 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:01:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 4 OK subtract 1.08x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:01:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.08x = 6.44x+1.66 strategic 5 OK subtract 6.44x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:02:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.36x = 1.66 strategic 1 OK divide -5.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:02:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.13y+7.63 = -5.59y+6.34 strategic 1 OK subtract 7.63 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:02:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.13y = -5.59y-1.29 strategic 1 OK add 5.59y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:03:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.54y = -1.29 strategic 1 OK divide -0.54 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:03:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.12y+7.81 = -9.56y+0.3 strategic 1 OK subtract 7.81 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:04:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.12y = -9.56y-7.51 strategic 1 ERROR add -9.56y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:04:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.12y = -9.56y-7.51 strategic 2 OK add 9.56y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:04:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 17.68y = -7.51 strategic 1 OK divide 17.68 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:04:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x+(-9.5) = -5.8x+8.87 strategic 1 OK rds -1.29x+(-9.5) = -5.8x+8.87 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x-9.5 = -5.8x+8.87 strategic 1 ERROR add 5.8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:05:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x-9.5 = -5.8x+8.87 strategic 2 OK add 9.5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:06:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x = -5.8x+18.37 strategic 1 ERROR subtract 5.8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:07:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x = -5.8x+18.37 strategic 2 ERROR subtract 5.8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:07:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x = -5.8x+18.37 strategic 3 ERROR add 5.8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:08:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x = -5.8x+18.37 strategic 4 ERROR subtract 5.8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:08:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.29x = -5.8x+18.37 strategic 5 OK add 5.8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:08:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.51x = 18.37 strategic 1 OK divide 4.51 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:09:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06+(-6.83x) = 4.39+(-3.55x) strategic 1 OK rds 3.06+(-6.83x) = 4.39+(-3.55x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session4 2007-05-01 12:09:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-6.83x = 4.39-3.55x strategic 1 BUG add 3.06 Since 3.06 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3.06 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:40:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-6.83x = 4.39-3.55x strategic 1 ERROR add 4.39 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-6.83x = 4.39-3.55x strategic 2 BUG add 3.06 Since 3.06 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3.06 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:40:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-6.83x = 4.39-3.55x strategic 3 BUG add 3.06 Since 3.06 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3.06 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:41:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-6.83x = 4.39-3.55x strategic 4 OK add 3.55x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:41:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-3.28x = 4.39 strategic 1 BUG add 3.06 Since 3.06 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3.06 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:41:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-3.28x = 4.39 strategic 2 BUG add 4.39 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:41:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.06-3.28x = 4.39 strategic 3 OK subtract 3.06 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:42:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.28x = 1.33 strategic 1 OK divide -3.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:42:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.98+3.2y = 2.19+(-8.8y) strategic 1 OK rds 8.98+3.2y = 2.19+(-8.8y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:42:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.98+3.2y = 2.19-8.8y strategic 1 OK subtract 3.2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:42:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.98 = 2.19-12y strategic 1 ERROR subtract 2.13 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:43:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.98 = 2.19-12y strategic 2 OK subtract 2.19 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:43:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.79 = -12y strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:43:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51 = -5.77y+1.48 strategic 1 ERROR add 5.77 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:43:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51 = -5.77y+1.48 strategic 2 OK add 5.77y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:44:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51+5.77y = -5.77y+1.48+5.77y right 1 OK right 1.48 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:45:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51+5.77y = 1.48 left 1 ERROR left 10.03 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:45:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51+5.77y = 1.48 left 2 ERROR left 10.03y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:45:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.26y+8.51+5.77y = 1.48 left 3 OK left 10.03y+8.51 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:45:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.03y+8.51 = 1.48 strategic 1 OK subtract 8.51 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:45:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.03y+8.51-8.51 = 1.48-8.51 left 1 OK left 10.03y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:46:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.03y = 1.48-8.51 right 1 OK right -7.03 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:46:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.03y = -7.03 strategic 1 OK divide 10.03 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:46:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.03y/10.03 = -7.03/10.03 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 64e9hEp session5 2007-05-01 12:47:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -7.03/10.03 right 1 OK right -0.7008 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I 6zkEsmR session24 2007-04-25 13:20:07.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR clt -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:20:44.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR rf -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:20:53.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:20:54.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:20:58.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE You can add 555 to both sides of the equation to eliminate the constant value of -555 (-555 + 555 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:21:08.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:21:17.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:21:21.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:21:54.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 1.97 = 6.39+(-4.09y) strategic 1 ERROR subtract -4.09 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:21:59.0 HINT HINT ES_05 ES_05-1 EG42B 1.97 = 6.39+(-4.09y) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:22:00.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:22:13.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 1.97 = 6.39+(-4.09y) strategic 3 OK rds 1.97 = 6.39+(-4.09y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:22:29.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 1.97 = 6.39-4.09y strategic 1 BUG subtract 1.97 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:22:45.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 1.97 = 6.39-4.09y strategic 2 OK subtract 6.39 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:22:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -4.42 = -4.09y strategic 1 OK divide -4.09 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:23:21.0 CYCLE CYCLE ES_05 ES_05-1 EG43 66x+8 = -4 strategic 1 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:23:27.0 CYCLE CYCLE ES_05 ES_05-1 EG43 66x = -12 strategic 1 OK divide 66 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:23:45.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 11.06 = 6.92+4.12y strategic 1 OK subtract 6.92 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:23:54.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 4.14 = 4.12y strategic 1 OK divide 4.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:24:09.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 8817 = -7791+3948x strategic 1 OK subtract -7791 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:24:21.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 16608 = 3948x strategic 1 OK divide 3948 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:24:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 7.64 = 5.09+(-5.83x) strategic 1 ERROR subtract -5.83 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:24:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 7.64 = 5.09+(-5.83x) strategic 2 OK subtract 5.09 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:25:13.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 7.64-5.09 = 5.09+(-5.83x)-5.09 left 1 OK left 2.55 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:25:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.55 = 5.09+(-5.83x)-5.09 right 1 OK right -5.83x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:25:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.55 = -5.83x strategic 1 OK divide -5.83 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:25:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.55/-5.83 = -5.83x/-5.83 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:26:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.55/-5.83 = x left 1 OK left -0.437392795 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:26:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x+67 = 71 strategic 1 BUG subtract 71 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:26:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x+67 = 71 strategic 2 OK subtract 67 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:26:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x+67-67 = 71-67 left 1 OK left 81x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x = 71-67 right 1 OK right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x = 4 strategic 1 OK divide 81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43 81x/81 = 4/81 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = 4/81 right 1 OK right 0.049382716 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.81 = -1.4+(-4.29x) strategic 1 BUG subtract 3.81 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:27:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.81 = -1.4+(-4.29x) strategic 2 OK subtract -1.4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:28:13.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.81-(-1.4) = -1.4+(-4.29x)-(-1.4) left 1 OK left 5.21 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:28:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.21 = -1.4+(-4.29x)-(-1.4) right 1 OK right -4.29x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:28:30.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.21 = -4.29x strategic 1 OK divide -4.29 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:28:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.21/-4.29 = -4.29x/-4.29 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:28:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.21/-4.29 = x left 1 ERROR left -1214452214 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 5.21/-4.29 = x left 2 OK left -1.214452214 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -99/x+(-38) = -77 strategic 1 OK subtract -38 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -99/x = -39 strategic 1 BUG multiply -99 To remove -99/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -99/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -99/x = -39 strategic 2 ERROR multiply 99 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:54.0 HINT HINT ES_05 ES_05-3 EG59 -99/x = -39 strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:29:58.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -99/x is -99 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:04.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -99/x = -39 strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:20.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -99 = -39x strategic 1 OK divide -39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -705 = 337+112/y strategic 1 OK subtract 337 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1042 = 112/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:30:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1042y = 112 strategic 1 OK divide -1042 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -22+36/y = -66 strategic 1 OK subtract -22 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:27.0 CYCLE CYCLE ES_05 ES_05-3 EG59 36/y = -44 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 36 = -44y strategic 1 OK divide -44 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 295 = -424+58/x strategic 1 OK subtract -424 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 719 = 58/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:31:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 719x = 58 strategic 1 OK divide 719 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:32:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 421 = -447+(-172/y) strategic 1 OK subtract -447 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:32:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 421-(-447) = -447+(-172/y)-(-447) left 1 OK left 868 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:32:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868 = -447+(-172/y)-(-447) right 1 OK right -172/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:32:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868 = -172/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:32:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868y = -172/y*y left 1 OK left 868y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:33:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868y = -172/y*y right 1 OK right -172 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:33:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868y = -172 strategic 1 OK divide 868 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:33:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 868y/868 = -172/868 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:33:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -172/868 right 1 OK right -0.198156682 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -7+(-39/y) = -57 strategic 1 OK subtract -7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -7+(-39/y)-(-7) = -57-(-7) left 1 OK left -39/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39/y = -57-(-7) right 1 OK right -50 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39/y = -50 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39/y*y = -50y left 1 OK left -39 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:34:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39 = -50y right 1 ERROR right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39 = -50y right 2 ERROR right -y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39 = -50y right 3 OK right -50y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39 = -50y strategic 1 OK divide -50 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39/-50 = -50y/-50 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -39/-50 = y left 1 OK left 0.78 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x+466 = 159 strategic 1 OK subtract 466 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:35:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x+466-466 = 159-466 right 1 OK right -307 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:36:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x+466-466 = -307 left 1 OK left -886/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:36:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x = -307 strategic 1 BUG multiply -886 To remove -886/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -886/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:36:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = -307*(-886) left 1 ERROR left x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:36:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = -307*(-886) left 2 ERROR left 886x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:37:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = -307*(-886) left 3 ERROR left -886x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:37:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = -307*(-886) left 4 ERROR left x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:37:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = -307*(-886) right 1 OK right 272002 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:38:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = 272002 left 1 ERROR left 784996x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:38:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = 272002 left 2 ERROR left x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:38:56.0 HINT HINT ES_05 ES_05-4 EG59A -886/x*(-886) = 272002 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:38:58.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in -886/x*(-886) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:39:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = 272002 left 3 OK left -886/x*(-886) condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:39:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*(-886) = 272002 strategic 2 ERROR rf -886/x*(-886) = 272002 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:39:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x = -307 strategic 2 ERROR clt -886/x = -307 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:40:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x = -307 strategic 3 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:40:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x left 1 ERROR left -886x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x left 2 ERROR left 886x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:21.0 HINT HINT ES_05 ES_05-4 EG59A -886/x*x = -307x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:22.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Type in -886/x*x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x right 1 OK right -307x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x left 3 OK left -886/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:41:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x strategic 2 OK mt -886/x*x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/x*x = -307x strategic 3 OK mt -886/x*x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 1 ERROR -886*1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 2 ERROR -886 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 3 OK -886x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 1 ERROR 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:42:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 2 ERROR x1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 3 ERROR -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:04.0 HINT HINT ES_05 ES_05-4 EG59A pm-r-den-node strategic 4 INITIAL_HINT -1 You need to multiply the denominators together. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:06.0 HINT HINT ES_05 ES_05-4 EG59A pm-r-den-node strategic 5 INITIAL_HINT -1 You need to multiply the denominators together. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:09.0 HINT HINT ES_05 ES_05-4 EG59A pm-r-den-node strategic 6 INITIAL_HINT -1 You need to multiply the denominators together. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 7 ERROR x1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 8 OK 1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:37.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:39.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 2 INITIAL_HINT Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:43:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 3 OK -886 condition 1 perform-mult-r-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:44:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886 = -307x strategic 1 OK divide -307 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:44:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -886/-307 = -307x/-307 left 1 OK left 2.885993485 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:44:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 2.88599349 = -307x/-307 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:45:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -130 = -448/y+(-593) strategic 1 OK subtract -593 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:45:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -130-(-593) = -448/y+(-593)-(-593) right 1 OK right -448/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:45:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -130-(-593) = -448/y left 1 ERROR left 77090 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:46:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -130-(-593) = -448/y left 2 ERROR left 77.090 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:46:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -130-(-593) = -448/y left 3 OK left 463 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:46:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 463 = -448/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:46:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 463y = -448/y*y left 1 OK left 463y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:47:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 463y = -448/y*y right 1 OK right -448 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:47:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 463y = -448 strategic 1 OK divide 463 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:47:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 463y/463 = -448/463 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:47:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -448/463 right 1 BUG right 0.967602591 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:47:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -448/463 right 2 OK right -0.967602591 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 624 = 879+345/x strategic 1 OK subtract 879 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 624-879 = 879+345/x-879 left 1 OK left -255 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255 = 879+345/x-879 right 1 OK right 345/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255 = 345/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255x = 345/x*x left 1 OK left -255x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:48:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255x = 345/x*x right 1 OK right 345 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:49:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255x = 345 strategic 1 OK divide -255 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:49:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -255x/-255 = 345/-255 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:49:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 345/-255 right 1 OK right -1.352941176 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:49:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+1 = 7x+8 strategic 1 OK subtract 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 1 ERROR multiply x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 2 ERROR mt -4x-7 = 7x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 3 ERROR clt -4x-7 = 7x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 4 ERROR subtract -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:48.0 HINT HINT ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:54.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:50:58.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 6 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 7 ERROR add 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 8 ERROR add -4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:26.0 HINT HINT ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 9 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 4x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-7 = 7x strategic 10 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:51:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7 = 11x strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x+(-4) = -2x+5 strategic 1 OK subtract -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 2 ERROR add -6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 3 ERROR add -6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:45.0 HINT HINT ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:46.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -2x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -2x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:52:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 5 ERROR subtract -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 6 ERROR subtract -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:09.0 HINT HINT ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:10.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -2x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:14.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -2x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6x = -2x+9 strategic 8 OK subtract -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 9 strategic 1 BUG multiply -4 To remove the coefficient of -4x, you need to divide. Erase your last step and then divide both sides by -4. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 9 strategic 2 ERROR multiply x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:43.0 HINT HINT ES_05 ES_05-5 EG60 -4x = 9 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:44.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE -4x is -4 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:48.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -4. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:53:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 9 strategic 4 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:54:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x+9 = -9+(-9x) strategic 1 OK subtract -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:54:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x+18 = -9x strategic 1 OK subtract -7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:55:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 18 = -2x strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+4 = 9y+(-4) strategic 1 OK subtract 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 9y-8 strategic 1 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = y-8 strategic 1 ERROR divide -8 condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:45.0 HINT HINT ES_05 ES_05-5 EG60 0 = y-8 strategic 2 INITIAL_HINT condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:46.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:49.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:56:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = y-8 strategic 3 OK add 8 condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:57:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x+(-5) = -2+(-3x) strategic 1 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:57:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x = 3-3x strategic 1 OK subtract 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:57:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 3-10x strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 3 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:57:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 3-10x strategic 2 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:57:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3 = -10x strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:58:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+0 = -6+(-5y) strategic 1 OK subtract -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:59:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+0-(-6) = -6+(-5y)-(-6) left 1 OK left 2y+6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:59:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6 = -6+(-5y)-(-6) right 1 OK right -5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:59:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6 = -5y strategic 1 ERROR subtract 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:59:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6 = -5y strategic 2 ERROR subtract 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 13:59:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6 = -5y strategic 3 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:00:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6-2y = -5y-2y left 1 OK left 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:00:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -5y-2y right 1 BUG right -3y -3y is equal to -5y plus 2y. You need to calculate -5y minus 2y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:01:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -5y-2y right 2 BUG right 3y 3y is equal to 5y minus 2y. You need to calculate -5y minus 2y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:01:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -5y-2y right 3 ERROR right -7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:01:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -5y-2y right 4 OK right -7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:01:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:01:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6/-7 = -7y/-7 left 1 OK left -0.857142857 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:02:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.85714286 = -7y/-7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:02:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.85714286 = y strategic 1 BUG rf -0.85714286 = y strategic You already solved the equation. y is -0.8571. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:02:44.0 HINT HINT ES_05 ES_05-6 EG60 -0.85714286 = y strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:02:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:03:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-9) = -8+(-9x) strategic 1 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:03:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-9)-(-8) = -8+(-9x)-(-8) right 1 OK right -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:04:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-9)-(-8) = -9x left 1 ERROR left -7x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:04:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-9)-(-8) = -9x left 2 OK left -7x+-1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:04:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-1) = -9x strategic 1 ERROR subtract -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:04:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-1) = -9x strategic 2 OK subtract -7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:05:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+(-1)-(-7x) = -9x-(-7x) left 1 OK left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:05:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = -9x-(-7x) right 1 ERROR right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:05:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = -9x-(-7x) right 2 OK right -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:06:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = -2x strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:06:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1/-2 = -2x/-2 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:06:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1/-2 = x left 1 OK left 0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:06:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+1y = -6+4y strategic 1 OK subtract -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:07:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+1y-(-6) = -6+4y-(-6) left 1 OK left 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:07:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = -6+4y-(-6) right 1 OK right 4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:07:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = 4y strategic 1 OK unnec-elems 1y=4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:07:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4y strategic 1 ERROR multiply y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:00.0 HINT HINT ES_05 ES_05-6 EG60 y = 4y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 4y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4y strategic 3 ERROR subtract 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 4y strategic 4 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-4y = 4y-4y left 1 ERROR left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-4y = 4y-4y left 2 BUG left y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:08:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-4y = y-4y left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y right 1 BUG right 0 Just subtract 4y from 4y. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y right 2 BUG right 0y Just subtract 4y from 4y. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:18.0 HINT HINT ES_05 ES_05-6 EG60 0 = y-4y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in y-4y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y right 3 ERROR right 4-4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y right 4 OK right y-4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:09:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y strategic 2 BUG divide 4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:26.0 HINT HINT ES_05 ES_05-6 EG60 0 = y-4y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = y-4y strategic 4 OK clt y-4y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 4y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:44.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT y In the group above, y and -4y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [y]+[-4y] are 1 and -4. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms y and -4y results in -3y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:10:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -3y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:11:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:11:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0/-3 = -3y/-3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:11:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0/-3 = y left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:12:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x = -8+(-9x) strategic 1 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:12:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x-(-8) = -8+(-9x)-(-8) right 1 OK right -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x-(-8) = -9x left 1 ERROR left 12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x-(-8) = -9x left 2 ERROR left 12x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:24.0 HINT HINT ES_05 ES_05-6 EG60 4+2x-(-8) = -9x strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 4+2x-(-8) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x-(-8) = -9x left 3 OK left 4+2x-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+2x+8 = -9x strategic 1 OK clt 4+2x+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:13:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG +2x +2x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK +2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 24x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:14:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 2x+12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:15:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x+12 = -9x strategic 1 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:15:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x+12-(-9x) = -9x-(-9x) left 1 ERROR left 14x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:16:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x+12-(-9x) = -9x-(-9x) right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:16:40.0 HINT HINT ES_05 ES_05-6 EG60 2x+12-(-9x) = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:16:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 2x+12-(-9x) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x+12-(-9x) = 0 left 1 OK left 2x+12-(-9x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x+12+9x = 0 strategic 1 OK clt 2x+12+9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK 2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG +9x +9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK +12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 ERROR 0x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 11x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:17:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:18:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR 12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:18:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 11x+12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:19:36.0 HINT HINT ES_05 ES_05-6 EG60 11x+12 = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:19:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE 12 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 12 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:19:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE You can subtract 12 from both sides of the equation to eliminate the constant value of 12 (12 - 12 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:19:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x+12 = 0 strategic 2 OK subtract 12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x+12-12 = 0-12 left 1 OK left 11x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x = 0-12 right 1 BUG right 12 12 is equal to 0 plus 12. You need to calculate 0 minus 12. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x = 0-12 right 2 OK right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x = -12 strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11x/11 = -12/11 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:20:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -12/11 right 1 OK right -1.090909091 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:21:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+(-3) = 3+(-9y) strategic 1 OK subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:21:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+(-3)-3 = 3+(-9y)-3 left 1 OK left -9y+(-3)-3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-3-3 = 3+(-9y)-3 right 1 OK right 3+(-9y)-3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-3-3 = 3-9y-3 strategic 1 OK clt -9y-3-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG  3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 BUG  3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:22:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 3 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -9y+-6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-6 = 3-9y-3 strategic 1 OK clt 3-9y-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 BUG  9y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 BUG  9y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 5 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 4 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:23:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:24:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -9y+0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:24:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-6 = -9y+0 strategic 1 OK unnec-elems -9y-6=-9y+0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:24:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-6 = -9y strategic 1 ERROR divide -9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:25:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-6 = -9y strategic 2 OK subtract -9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:25:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-6-(-9y) = -9y-(-9y) left 1 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:25:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -9y-(-9y) right 1 BUG right -9y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:26:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -9y-(-9y) right 2 OK right -9y--9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:26:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = -9y+9y strategic 1 OK clt -9y+9y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session24 2007-04-25 14:26:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session25 2007-05-18 14:10:34.0 HINT HINT ES_05 ES_05-6 EG60 -6+(-1y) = -9+(-5y) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session25 2007-05-18 14:10:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session25 2007-05-18 14:10:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+(-1y) = -9+(-5y) strategic 2 OK rds -6+(-1y) = -9+(-5y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session25 2007-05-18 14:18:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 1 ERROR clt -6-1y = -9-5y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session25 2007-05-18 14:19:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 2 ERROR rf -6-1y = -9-5y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:34:11.0 HINT HINT ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:34:15.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:34:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 2 ERROR rf -6-1y = -9-5y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:34:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 3 ERROR rds -6-1y = -9-5y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:34:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 4 BUG divide 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:35:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 5 BUG add 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:35:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 6 BUG add 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:35:41.0 HINT HINT ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 7 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:35:43.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:35:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 8 BUG multiply 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 9 BUG multiply 1y Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:09.0 HINT HINT ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 10 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-1y = -9-5y strategic 11 OK mt 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 1 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 1y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y = -9-5y strategic 1 ERROR divide 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:45.0 HINT HINT ES_05 ES_05-6 EG60 -6-y = -9-5y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:46.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 5y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:57.0 HINT HINT ES_05 ES_05-6 EG60 -6-y = -9-5y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:36:58.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Move 5y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:37:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add 5y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:37:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y = -9-5y strategic 4 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:37:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9-5y+5y left 1 ERROR left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:37:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9-5y+5y left 2 ERROR left -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:38:14.0 HINT HINT ES_05 ES_05-6 EG60 -6-y+5y = -9-5y+5y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:38:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in -6-y+5y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:38:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9-5y+5y left 3 OK left -6-y+5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:38:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9-5y+5y right 1 OK right -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:40.0 HINT HINT ES_05 ES_05-6 EG60 -6-y+5y = -9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9 strategic 2 ERROR rds -6-y+5y = -9 strategic condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9 strategic 3 ERROR rf -6-y+5y = -9 strategic condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:54.0 HINT HINT ES_05 ES_05-6 EG60 -6-y+5y = -9 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:39:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-y+5y = -9 strategic 5 OK clt -6-y+5y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR 5y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 ERROR -5y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 ERROR 5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:30.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 5 INITIAL_HINT 5 In the group above, -y and 5y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 6 ERROR 5y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:40:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE The coefficients in [-y]+[+5y] are -1 and 5. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Combining the like terms -y and 5y results in 4y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 BUG 4y 4y
Perhaps you should fill in all the y terms above. BUG condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 OK 4y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 4y+-6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:41.0 HINT HINT ES_05 ES_05-6 EG60 4y-6 = -9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE -6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:45.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:41:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-6 = -9 strategic 2 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:42:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y-6+6 = -9+6 left 1 OK left 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:42:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -9+6 right 1 OK right -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:42:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y = -3 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:42:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4y/4 = -3/4 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:42:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -3/4 right 1 OK right -0.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:43:36.0 HINT HINT ES_05 ES_05-6 EG60 -9+(-1y) = 8+9y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:43:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:43:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+(-1y) = 8+9y strategic 2 OK rds -9+(-1y) = 8+9y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:10.0 HINT HINT ES_05 ES_05-6 EG60 -9-1y = 8+9y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-1y = 8+9y strategic 2 OK mt 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 1 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:51.0 HINT HINT ES_05 ES_05-6 EG60 -9-y = 8+9y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 9y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:44:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract 9y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:45:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-y = 8+9y strategic 2 BUG subtract 9 Since -9 is negative, you should add to remove it from the both side. Erase your last step and add 9 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:45:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-y = 8+9y strategic 3 OK subtract 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:45:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-y-9y = 8+9y-9y left 1 OK left -9-y-9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-y-9y = 8+9y-9y right 1 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:06.0 HINT HINT ES_05 ES_05-6 EG60 -9-y-9y = 8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:07.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-y-9y = 8 strategic 2 OK clt -9-y-9y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR 9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 ERROR 8y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:33.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 5 INITIAL_HINT 8y In the group above, -y and -9y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 6 ERROR -8y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 ERROR 8y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE The coefficients in [-y]+[-9y] are -1 and -9. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:46:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Combining the like terms -y and -9y results in -10y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:47:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 8 OK -10y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:47:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -10y+-9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:47:52.0 HINT HINT ES_05 ES_05-6 EG60 -10y-9 = 8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:47:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE -9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:47:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9 = 8 strategic 2 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9+9 = 8+9 left 1 OK left -10y-9+9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9+9 = 8+9 right 1 OK right 17 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:51.0 HINT HINT ES_05 ES_05-6 EG60 -10y-9+9 = 17 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:48:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9+9 = 17 strategic 2 ERROR mt -10y-9+9 = 17 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9+9 = 17 strategic 3 OK clt -10y-9+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 9 OK -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -9+9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -10y+-9+9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:55.0 HINT HINT ES_05 ES_05-6 EG60 -10y-9+9 = 17 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:49:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-9+9 = 17 strategic 5 OK clt -10y-9+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 5 OK -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 10 OK -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -10y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:38.0 HINT HINT ES_05 ES_05-6 EG60 -10y = 17 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:39.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE -10y is -10 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:43.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 13 HINT_LEVEL_CHANGE Divide both sides by -10. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:50:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 17 strategic 2 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:51:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y/-10 = 17/-10 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:51:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 17/-10 right 1 OK right -1.7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:51:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+(-9x) = 0+9x strategic 1 OK rds -8+(-9x) = 0+9x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:51:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x = 0+9x strategic 1 ERROR mt -8-9x = 0+9x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:51:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x = 0+9x strategic 2 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:52:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x = 0+9x strategic 3 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:52:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x = 0+9x strategic 4 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:52:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x-(-8) = 0+9x-(-8) left 1 OK left -8-9x-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:52:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x+8 = 0+9x-(-8) right 1 OK right 0+9x-(-8) condition 1 cwctc 247w34xrp1--Period 8--algebra I 6zkEsmR session26 2007-05-23 13:52:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9x+8 = 0+9x+8 strategic 1 OK unnec-elems -8-9x+8=0+9x+8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 7BJfpoV session0 2007-04-26 08:39:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:40:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 68x+(-6) = -47 strategic 1 OK answer-check -.60294 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:40:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A -9.19 = -11.62+11.4y strategic 1 OK answer-check .2132 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:40:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -67.76+(-19.18y) = 68.11 strategic 1 ERROR answer-check -0.5478 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:46:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -67.76+(-19.18y) = 68.11 strategic 2 OK answer-check -7.08394 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:48:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 81 = 12y+(-46) strategic 1 OK answer-check 10.583 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:49:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 2398 = -2528+7241y strategic 1 OK answer-check .68029 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:51:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -6.52+(-14y) = -1.46 strategic 1 OK answer-check -0.36142 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:52:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -6.6+(-6.67x) = -7.14 strategic 1 OK answer-check 0.08095 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:53:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 65 = 14+6y strategic 1 OK answer-check 8.5 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:55:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -1151+(-3047x) = -5259 strategic 1 OK answer-check 1.3482 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:57:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -669 = 526/y+(-984) strategic 1 ERROR answer-check 165690 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:58:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -669 = 526/y+(-984) strategic 2 ERROR answer-check 841 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 08:59:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -669 = 526/y+(-984) strategic 3 OK answer-check 1.6698 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 09:10:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -914+(-681/x) = 136 strategic 1 ERROR answer-check 1.1424 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session0 2007-04-26 09:24:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -914+(-681/x) = 136 strategic 2 OK answer-check -.64857 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:30:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -55+73/x = -42 strategic 1 OK answer-check 5.61538 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:33:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -264 = -115/y+784 strategic 1 ERROR answer-check -0.01973 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:33:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -264 = -115/y+784 strategic 2 ERROR answer-check 0.01973 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:35:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -264 = -115/y+784 strategic 3 OK answer-check 0.1097328 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:38:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -38 = -78+(-95/x) strategic 1 ERROR answer-check 2.375 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:38:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -38 = -78+(-95/x) strategic 2 OK answer-check -2.375 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:40:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -26+9/y = 66 strategic 1 ERROR answer-check 0.225 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:41:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -26+9/y = 66 strategic 2 ERROR answer-check -0.225 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:43:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -26+9/y = 66 strategic 3 ERROR answer-check .225 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session1 2007-05-03 08:43:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -26+9/y = 66 strategic 4 OK answer-check 9/92 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7BJfpoV session2 2007-05-03 09:20:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 965/y+(-478) = -543 strategic 1 ERROR answer-check 0.078695 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:33:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.547 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:34:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 43x+(-10) = -17 strategic 1 OK answer-check -0.16279 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:35:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 0.37 = 9.54y+(-6.24) strategic 1 OK answer-check .6929 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:37:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -25x+(-83) = 69 strategic 1 ERROR answer-check -6.32 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:39:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -25x+(-83) = 69 strategic 2 OK answer-check -6.08 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:41:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -4.22 = -9.03y+(-6.71) strategic 1 OK answer-check -0.275747508 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:43:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.58 = -8.12y+12.71 strategic 1 ERROR answer-check .032376847 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:44:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.58 = -8.12y+12.71 strategic 2 OK answer-check 3.237684729 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:45:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -4996 = 4774+8362y strategic 1 OK answer-check -1.16838077 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:45:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 94.16x+99.95 = 1.37 strategic 1 OK answer-check -1.046941376 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:46:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 557 = -3293x+(-9714) strategic 1 OK answer-check -3.119040389 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:47:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -61.84+(-67.98y) = 16.01 strategic 1 OK answer-check -1.145189762 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:48:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 6.77+14.41y = -0.7 strategic 1 OK answer-check -0.518390007 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:49:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A 6+284/x = -365 strategic 1 OK answer-check -0.765498652 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:49:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70 = 46/y+(-24) strategic 1 ERROR answer-check -4.33333 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:49:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70 = 46/y+(-24) strategic 2 ERROR answer-check -4.33 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:50:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70 = 46/y+(-24) strategic 3 ERROR answer-check -2116 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:50:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70 = 46/y+(-24) strategic 4 OK answer-check -1 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:51:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -648 = 651/y+(-421) strategic 1 ERROR answer-check -147777 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:52:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -648 = 651/y+(-421) strategic 2 ERROR answer-check -227 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:52:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -648 = 651/y+(-421) strategic 3 OK answer-check -2.86784141 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:53:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 24 = -6+58/y strategic 1 OK answer-check 1.9333 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:53:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -68+14/y = 79 strategic 1 OK answer-check 0.095238095 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:54:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -805 = 677+271/y strategic 1 ERROR answer-check -0182860999 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:55:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -805 = 677+271/y strategic 2 ERROR answer-check -2.1171875 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:55:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -805 = 677+271/y strategic 3 ERROR answer-check -2.12 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:56:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -805 = 677+271/y strategic 4 ERROR answer-check -.146423752 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:56:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -805 = 677+271/y strategic 5 OK answer-check -.182860999 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:57:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 761/y+764 = 609 strategic 1 OK answer-check -4.909677419 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:57:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 88/y+(-2) = 1 strategic 1 OK answer-check 29.3333 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:58:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 824 = 437/x+947 strategic 1 OK answer-check -3.552845528 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:58:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 36 = 35/y+(-99) strategic 1 OK answer-check .259259259 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:58:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -821+117/x = -12 strategic 1 ERROR answer-check .14625 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:59:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -821+117/x = -12 strategic 2 OK answer-check .144622991 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 08:59:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 22 = 5+(-72/y) strategic 1 OK answer-check -4.235294118 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:00:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 69/y+87 = 13 strategic 1 OK answer-check -.932432432 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:01:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 -7+(-5y) = -9y+(-6) strategic 1 OK answer-check 1/4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:01:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+9x = 10x+7 strategic 1 ERROR answer-check 43/2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:04:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+9x = 10x+7 strategic 2 ERROR answer-check -1x condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:04:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+9x = 10x+7 strategic 3 ERROR answer-check -11 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:05:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+9x = 10x+7 strategic 4 OK answer-check -15 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:06:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4x+8 = 4+6x strategic 1 ERROR answer-check condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:06:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4x+8 = 4+6x strategic 2 OK answer-check 2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:07:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -10y+6 = -9y+2 strategic 1 ERROR answer-check -2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:08:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -10y+6 = -9y+2 strategic 2 ERROR answer-check -223 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:08:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -10y+6 = -9y+2 strategic 3 ERROR answer-check -233 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:08:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -10y+6 = -9y+2 strategic 4 OK answer-check 4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:09:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 8+1x = -3x+5 strategic 1 ERROR answer-check 23 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:09:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 8+1x = -3x+5 strategic 2 ERROR answer-check 235 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:09:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 8+1x = -3x+5 strategic 3 ERROR answer-check 2355 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:09:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 8+1x = -3x+5 strategic 4 OK answer-check -.75 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:10:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+6 = 1y+(-3) strategic 1 ERROR answer-check 9 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:10:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+6 = 1y+(-3) strategic 2 ERROR answer-check 92 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:10:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+6 = 1y+(-3) strategic 3 ERROR answer-check 923 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:10:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+6 = 1y+(-3) strategic 4 OK answer-check 3 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:11:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 2+(-9y) = -2+4y strategic 1 ERROR answer-check 4/-9 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:12:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 2+(-9y) = -2+4y strategic 2 ERROR answer-check -.4444 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:12:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 2+(-9y) = -2+4y strategic 3 ERROR answer-check -.44446 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:12:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 2+(-9y) = -2+4y strategic 4 OK answer-check .3077 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:13:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5y+(-9) = 8y+(-3) strategic 1 ERROR answer-check -2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:13:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5y+(-9) = 8y+(-3) strategic 2 ERROR answer-check -22 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:13:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5y+(-9) = 8y+(-3) strategic 3 ERROR answer-check -222 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:14:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -5y+(-9) = 8y+(-3) strategic 4 OK answer-check -.4615 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:15:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+5y = 9+3y strategic 1 ERROR answer-check 1.25 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:15:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+5y = 9+3y strategic 2 ERROR answer-check 1.255 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:15:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+5y = 9+3y strategic 3 ERROR answer-check 1.2555 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:15:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 1+5y = 9+3y strategic 4 OK answer-check 4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:16:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7y+(-8) = -3y+0 strategic 1 ERROR answer-check 1.25 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:16:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7y+(-8) = -3y+0 strategic 2 ERROR answer-check 1.255 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:16:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7y+(-8) = -3y+0 strategic 3 ERROR answer-check 1.2555 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:16:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7y+(-8) = -3y+0 strategic 4 OK answer-check .8 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:18:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+8 = -3y+(-9) strategic 1 ERROR answer-check 2.428571429 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:18:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+8 = -3y+(-9) strategic 2 ERROR answer-check -2.428571429 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:18:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+8 = -3y+(-9) strategic 3 ERROR answer-check -2.4285714295 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:18:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -4y+8 = -3y+(-9) strategic 4 OK answer-check 17 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:18:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7+5x = 8+(-10x) strategic 1 OK answer-check 1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:20:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+(-6x) = -1+4x strategic 1 ERROR answer-check .7 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:20:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+(-6x) = -1+4x strategic 2 ERROR answer-check .77 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:20:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+(-6x) = -1+4x strategic 3 ERROR answer-check .777 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:20:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+(-6x) = -1+4x strategic 4 OK answer-check -.7 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:21:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7+(-7y) = 9+1y strategic 1 ERROR answer-check 2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:21:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7+(-7y) = 9+1y strategic 2 ERROR answer-check 22 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:21:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7+(-7y) = 9+1y strategic 3 ERROR answer-check 222 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:21:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7+(-7y) = 9+1y strategic 4 OK answer-check -.25 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:22:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7y+(-10) = -2y+(-3) strategic 1 ERROR answer-check .7777777 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:22:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7y+(-10) = -2y+(-3) strategic 2 ERROR answer-check .78 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:22:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7y+(-10) = -2y+(-3) strategic 3 ERROR answer-check .785 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:23:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7y+(-10) = -2y+(-3) strategic 4 OK answer-check -1.4 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:24:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 0+2x = 1+(-8x) strategic 1 OK answer-check .1 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:24:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 6y+9 = 6+5y strategic 1 ERROR answer-check 1.363636364 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:24:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 6y+9 = 6+5y strategic 2 ERROR answer-check 1.3636363645 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:25:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 6y+9 = 6+5y strategic 3 ERROR answer-check 1.36363636455 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:25:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 6y+9 = 6+5y strategic 4 ERROR answer-check 1.363636364554 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:25:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 6y+9 = 6+5y strategic 5 OK answer-check -3 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:27:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5x = 7x+(-5) strategic 1 ERROR answer-check -.3333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:27:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5x = 7x+(-5) strategic 2 ERROR answer-check -.33333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:27:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5x = 7x+(-5) strategic 3 ERROR answer-check -.333333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:27:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5x = 7x+(-5) strategic 4 ERROR answer-check -.3333335 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:27:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5x = 7x+(-5) strategic 5 OK answer-check 2 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:29:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = -5+(-6x) strategic 1 ERROR answer-check -.142857143 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:29:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = -5+(-6x) strategic 2 ERROR answer-check -.1428571432 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:29:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = -5+(-6x) strategic 3 ERROR answer-check -.14285714322 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:29:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = -5+(-6x) strategic 4 OK answer-check 1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:30:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-5) = 3+9y strategic 1 ERROR answer-check .7272 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:30:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-5) = 3+9y strategic 2 ERROR answer-check .72725 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:30:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-5) = 3+9y strategic 3 ERROR answer-check .727255 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:31:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-5) = 3+9y strategic 4 ERROR answer-check .7272555 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:31:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-5) = 3+9y strategic 5 OK answer-check -1.1429 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:32:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -2+(-7y) = 8y+(-4) strategic 1 ERROR answer-check -2 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:32:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -2+(-7y) = 8y+(-4) strategic 2 ERROR answer-check -22 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:32:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -2+(-7y) = 8y+(-4) strategic 3 ERROR answer-check -222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:32:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -2+(-7y) = 8y+(-4) strategic 4 OK answer-check .1333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:33:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2x+10 = 5+3x strategic 1 ERROR answer-check 1.153846154 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:33:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2x+10 = 5+3x strategic 2 ERROR answer-check 1.1538461545 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:33:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2x+10 = 5+3x strategic 3 ERROR answer-check 1.15384615451 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:33:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2x+10 = 5+3x strategic 4 OK answer-check 5 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:34:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -7+(-4y) = -5y+4 strategic 1 ERROR answer-check -11 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:34:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -7+(-4y) = -5y+4 strategic 2 ERROR answer-check -112 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:34:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -7+(-4y) = -5y+4 strategic 3 ERROR answer-check -1123 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:34:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -7+(-4y) = -5y+4 strategic 4 OK answer-check 11 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:35:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+5y = -9+(-5y) strategic 1 ERROR answer-check 1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:35:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+5y = -9+(-5y) strategic 2 ERROR answer-check 11 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:35:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+5y = -9+(-5y) strategic 3 ERROR answer-check 112 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session0 2007-04-26 09:35:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+5y = -9+(-5y) strategic 4 OK answer-check .1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:26:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 9x+(-1) = -9x+(-7) strategic 1 ERROR answer-check 2 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:26:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 9x+(-1) = -9x+(-7) strategic 2 ERROR answer-check 22 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:26:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 9x+(-1) = -9x+(-7) strategic 3 ERROR answer-check 222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:27:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 9x+(-1) = -9x+(-7) strategic 4 ERROR answer-check 2222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:27:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 9x+(-1) = -9x+(-7) strategic 5 OK answer-check -.333333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:28:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 1y+5 = 10+(-10y) strategic 1 ERROR answer-check 2 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:28:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 1y+5 = 10+(-10y) strategic 2 ERROR answer-check 22 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:28:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 1y+5 = 10+(-10y) strategic 3 ERROR answer-check 222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:28:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 1y+5 = 10+(-10y) strategic 4 ERROR answer-check 2222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:28:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 1y+5 = 10+(-10y) strategic 5 OK answer-check .4545 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:32:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+(-5x) = 4+1x strategic 1 ERROR answer-check 22 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:32:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+(-5x) = 4+1x strategic 2 ERROR answer-check 223 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:32:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+(-5x) = 4+1x strategic 3 ERROR answer-check 2232 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:33:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -10+(-5x) = 4+1x strategic 4 OK answer-check -2.33 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:34:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5y = -7y+(-7) strategic 1 ERROR answer-check -3 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:34:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5y = -7y+(-7) strategic 2 ERROR answer-check -32 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:34:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5y = -7y+(-7) strategic 3 ERROR answer-check -323 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:35:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1+5y = -7y+(-7) strategic 4 OK answer-check -.5 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:36:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7+4y = 4y+1 strategic 1 ERROR answer-check -6 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:36:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7+4y = 4y+1 strategic 2 ERROR answer-check -62 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:36:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7+4y = 4y+1 strategic 3 ERROR answer-check -622 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:38:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7+4y = 4y+1 strategic 4 ERROR answer-check -1.5 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:39:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7+4y = 4y+1 strategic 5 ERROR answer-check 0 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:42:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 4+(-8y) = 6+9y strategic 1 OK answer-check -.117647059 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:43:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = 1x+(-8) strategic 1 ERROR answer-check 1.222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:43:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = 1x+(-8) strategic 2 ERROR answer-check 1.2222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:43:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = 1x+(-8) strategic 3 ERROR answer-check 1.22222 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:44:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -8x+(-3) = 1x+(-8) strategic 4 OK answer-check .5556 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:44:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7a EG61 -1.51x+6.96 = -1.64x+(-8.84) strategic 1 OK answer-check -121.5385 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:44:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.91x+1.93 = 1.04x+1.62 strategic 1 ERROR answer-check -7.5403 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:46:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.91x+1.93 = 1.04x+1.62 strategic 2 ERROR answer-check 7.903846154 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:46:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.91x+1.93 = 1.04x+1.62 strategic 3 ERROR answer-check 7.9038461542 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:47:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.91x+1.93 = 1.04x+1.62 strategic 4 OK answer-check -0.0451 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 8.52+(-8.92x) = 2.03+5.79x strategic 1 ERROR answer-check 2 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 8.52+(-8.92x) = 2.03+5.79x strategic 2 ERROR answer-check 22 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 8.52+(-8.92x) = 2.03+5.79x strategic 3 ERROR answer-check 222 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 8.52+(-8.92x) = 2.03+5.79x strategic 4 OK answer-check .4412 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -4.57x+(-9.94) = -5.2x+6.89 strategic 1 ERROR answer-check 2 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -4.57x+(-9.94) = -5.2x+6.89 strategic 2 ERROR answer-check 22 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -4.57x+(-9.94) = -5.2x+6.89 strategic 3 ERROR answer-check 222 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:49:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -4.57x+(-9.94) = -5.2x+6.89 strategic 4 OK answer-check 26.7143 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:52:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.85+(-5.21y) = -7.35y+(-3.65) strategic 1 ERROR answer-check 2 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:52:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.85+(-5.21y) = -7.35y+(-3.65) strategic 2 ERROR answer-check 22 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:52:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.85+(-5.21y) = -7.35y+(-3.65) strategic 3 ERROR answer-check 222 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:52:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 7.85+(-5.21y) = -7.35y+(-3.65) strategic 4 OK answer-check -5.3738 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:55:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -4+7.33x = 5.44x+6.44 strategic 1 OK answer-check 5.523809524 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 08:57:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 9.5y+1.36 = 3.51+2.31y strategic 1 OK answer-check .299026426 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:00:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 4.34+2.46x = -3.03x+(-9.61) strategic 1 OK answer-check -2.540983607 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:03:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -4.44+(-3.24x) = 8.52+7.07x strategic 1 OK answer-check -1.257032008 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:04:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -9.04+1.23y = 4.11y+4.56 strategic 1 OK answer-check -4.72222 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:08:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -0.71+(-9.47x) = -6.24+3.78x strategic 1 ERROR answer-check 2 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:08:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -0.71+(-9.47x) = -6.24+3.78x strategic 2 ERROR answer-check 22 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:08:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -0.71+(-9.47x) = -6.24+3.78x strategic 3 ERROR answer-check 222 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:08:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -0.71+(-9.47x) = -6.24+3.78x strategic 4 OK answer-check .4174 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:11:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 9+(-3.68x) = -3.41+(-4.25x) strategic 1 ERROR answer-check -1.564943253 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:11:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 9+(-3.68x) = -3.41+(-4.25x) strategic 2 ERROR answer-check -1.5649432532 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:11:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 9+(-3.68x) = -3.41+(-4.25x) strategic 3 ERROR answer-check -1.56494325322 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:11:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 9+(-3.68x) = -3.41+(-4.25x) strategic 4 OK answer-check -21.7719 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:13:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 7.33x+0.03 = -2.24x+(-0.83) strategic 1 OK answer-check -.089864159 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:16:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-8 EG61 -8.77+7.05y = 7.57+3.21y strategic 1 OK answer-check 4.255208333 condition 4 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:16:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9a EG62A -4082.9+(-562.63y) = 3289.13+(-480.82y) strategic 1 OK answer-check -90.1116 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:19:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -84.86x+(-59.34) = -35.18x+16.28 strategic 1 ERROR answer-check 1.527450183 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:19:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -84.86x+(-59.34) = -35.18x+16.28 strategic 2 ERROR answer-check 1.5274501832 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:19:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -84.86x+(-59.34) = -35.18x+16.28 strategic 3 ERROR answer-check 1.52745018322 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:19:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -84.86x+(-59.34) = -35.18x+16.28 strategic 4 ERROR answer-check 1.5221 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:19:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -84.86x+(-59.34) = -35.18x+16.28 strategic 5 OK answer-check -1.5221 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:23:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62A 6388.65+158.19x = -9722.29+824.72x strategic 1 ERROR answer-check 2 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:23:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62A 6388.65+158.19x = -9722.29+824.72x strategic 2 ERROR answer-check 22 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:23:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62A 6388.65+158.19x = -9722.29+824.72x strategic 3 ERROR answer-check 222 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:23:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62A 6388.65+158.19x = -9722.29+824.72x strategic 4 OK answer-check 24.1714 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:25:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 12.1x+(-36.88) = 12.19+52.13x strategic 1 OK answer-check -1.225830627 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:28:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 65.13+92.54y = 14.15+(-17.68y) strategic 1 ERROR answer-check .008670375 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:28:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 65.13+92.54y = 14.15+(-17.68y) strategic 2 ERROR answer-check .0086703755 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:28:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 65.13+92.54y = 14.15+(-17.68y) strategic 3 ERROR answer-check .00867037555 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:28:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 65.13+92.54y = 14.15+(-17.68y) strategic 4 OK answer-check -.4625 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:30:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 -57.03x+17.51 = -7.29+20.31x strategic 1 OK answer-check .32066012 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:32:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-9 EG62 4.36x+(-47.59) = -18.72x+33.35 strategic 1 OK answer-check 3.506932409 condition 4 Consolidate variables, decimals>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:34:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62 -71.41y+(-1) = -26.09y+75.27 strategic 1 OK answer-check -1.682921447 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:36:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A 5410.26+931.89x = 781.17x+(-4334.74) strategic 1 ERROR answer-check 64.63358824 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:36:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A 5410.26+931.89x = 781.17x+(-4334.74) strategic 2 ERROR answer-check 64.633588242 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:36:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A 5410.26+931.89x = 781.17x+(-4334.74) strategic 3 ERROR answer-check 64.6335882422 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:36:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A 5410.26+931.89x = 781.17x+(-4334.74) strategic 4 ERROR answer-check 64.6563 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:36:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A 5410.26+931.89x = 781.17x+(-4334.74) strategic 5 OK answer-check -64.6563 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7LZr10z session1 2007-05-03 09:38:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-10 EG62A -6399.05+(-300.25y) = 235.05y+(-2193.84) strategic 1 OK answer-check -7.855800486 condition 4 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7OalbuD session0 2007-05-04 08:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:28:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:28:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -68.49+37.28y = 42.95 strategic 1 OK add 68.49 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 37.28y = 111.44 strategic 1 OK divide 37.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -7482+(-8771y) = -7743 strategic 1 OK add 7482 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:29:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -8771y = -261 strategic 1 OK divide -8771 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:29:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -11.87 = 11.34x+(-13.82) strategic 1 ERROR subtract 13.55 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:29:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -11.87 = 11.34x+(-13.82) strategic 2 ERROR subtract -13.55 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:30:25.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42A 1.68 = 11.34x-0.27 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:30:26.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42A null strategic 1 HINT_LEVEL_CHANGE -0.27 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -0.27 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -11.87 = 11.34x+(-13.82) strategic 3 OK subtract -13.82 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:31:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 1.95 = 11.34x strategic 1 ERROR divide 11.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:31:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 1.95 = 11.34x strategic 2 OK divide 11.34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24x+(-76) = 86 strategic 1 BUG subtract 76 Since -76 is negative, you should add to remove it from the left side. Erase your last step and add 76 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24x+(-76) = 86 strategic 2 OK subtract -76 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24x = 162 strategic 1 BUG divide 162 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:32:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24x = 162 strategic 2 OK divide 24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:33:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 3.52 = 10.22+10.52y strategic 1 OK subtract 10.22 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:33:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -6.7 = 10.52y strategic 1 OK divide 10.52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:33:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 1865+(-4298y) = -5459 strategic 1 OK subtract 1865 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4298y = -7324 strategic 1 OK divide -4298 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -1.34 = -6.07x+0.76 strategic 1 OK subtract 0.76 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -2.1 = -6.07x strategic 1 OK divide -6.07 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:34:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x+(-4104) = -777 strategic 1 BUG subtract 4104 Since -4104 is negative, you should add to remove it from the left side. Erase your last step and add 4104 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:35:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x+(-4104) = -777 strategic 2 OK subtract -4104 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:35:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x+(-4104)-(-4104) = -777-(-4104) left 1 OK left -5815x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:36:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x = -777-(-4104) right 1 OK right 3327 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:37:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x = 3327 strategic 1 OK divide -5815 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:37:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5815x/-5815 = 3327/-5815 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = 3327/-5815 right 1 OK right -0.572 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:39:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 4.77 = 8.03+4.81x strategic 1 OK subtract 8.03 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:39:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 4.77-8.03 = 8.03+4.81x-8.03 right 1 OK right 4.81x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:39:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 4.77-8.03 = 4.81x left 1 OK left -3.26 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.26 = 4.81x strategic 1 OK divide 4.81 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:40:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.26/4.81 = 4.81x/4.81 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:40:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.26/4.81 = x left 1 BUG left 0.6777 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:40:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.26/4.81 = x left 2 OK left -0.6777 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:41:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -75+61y = 52 strategic 1 OK subtract -75 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:41:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -75+61y-(-75) = 52-(-75) left 1 OK left 61y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:42:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 61y = 52-(-75) right 1 OK right 127 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:42:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 61y = 127 strategic 1 ERROR divide 67 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:42:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 61y = 127 strategic 2 OK divide 61 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:42:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 61y/61 = 127/61 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:43:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = 127/61 right 1 OK right 2.081 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:43:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -74 = 58/x+96 strategic 1 OK subtract 96 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:43:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -170 = 58/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:44:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -170x = 58 strategic 1 OK divide -170 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:45:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -229 = 321/y+(-219) strategic 1 BUG subtract 219 Since -219 is negative, you should add to remove it from the right side. Erase your last step and add 219 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -229 = 321/y+(-219) strategic 2 OK subtract -219 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -10 = 321/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -10y = 321 strategic 1 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 30 = -32/y+80 strategic 1 OK subtract 80 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -50 = -32/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -50y = -32 strategic 1 OK divide -50 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -10+84/x = 15 strategic 1 BUG subtract 10 Since -10 is negative, you should add to remove it from the left side. Erase your last step and add 10 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:46:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -10+84/x = 15 strategic 2 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 84/x = 25 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 84 = 25x strategic 1 OK divide 25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y+56 = 56 strategic 1 OK subtract 56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y+56-56 = 56-56 right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y+56-56 = 0 left 1 OK left 59/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:47:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y = 0 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:48:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y*y = 0y left 1 ERROR left 59y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:58:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59/y*y = 0y left 2 OK left 59 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 08:58:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59 = 0y right 1 OK right 0y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:00:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 59 = 0y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:00:35.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:00:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59 = 0y strategic 2 OK mt 0y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK 0 condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:02:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -193 = -35/x+(-471) strategic 1 OK subtract -471 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:03:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -193-(-471) = -35/x+(-471)-(-471) left 1 OK left 278 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:03:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278 = -35/x+(-471)-(-471) right 1 BUG right -35/-x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:04:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278 = -35/x+(-471)-(-471) right 2 OK right -35/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:04:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278 = -35/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:04:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278x = -35/x*x right 1 OK right -35 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:05:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278x = -35 left 1 OK left 278x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:05:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278x = -35 strategic 1 OK divide 278 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:05:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 278x/278 = -35/278 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:05:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = -35/278 right 1 BUG right 0.125 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:05:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = -35/278 right 2 OK right -0.125 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:06:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 41 = 280+979/x strategic 1 OK subtract 280 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:06:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 41-280 = 280+979/x-280 left 1 BUG left 41 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:06:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 41-280 = 280+979/x-280 right 1 OK right 979/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:07:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 41-280 = 979/x left 1 OK left -239 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -239 = 979/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:07:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -239x = 979/x*x right 1 OK right 979 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:07:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -239x = 979 left 1 OK left -239x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:08:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -239x = 979 strategic 1 OK divide -239 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:08:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -239x/-239 = 979/-239 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:08:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 979/-239 right 1 OK right -4.096 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17+90/x = 80 strategic 1 OK subtract 17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17+90/x-17 = 80-17 left 1 OK left 90/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/x = 80-17 right 1 OK right 63 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/x = 63 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/x*x = 63x left 1 ERROR left 90x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/x*x = 63x left 2 OK left 90 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:09:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90 = 63x right 1 OK right 63x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90 = 63x strategic 1 OK divide 63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/63 = 63x/63 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 90/63 = x left 1 OK left 1.428 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34 = -9/y+(-1) strategic 1 BUG subtract 1 Since -1 is negative, you should add to remove it from the right side. Erase your last step and add 1 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34 = -9/y+(-1) strategic 2 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34+1 = -9/y+(-1)+1 left 1 OK left 35 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:10:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35 = -9/y+(-1)+1 right 1 OK right -9/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35 = -9/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35y = -9/y*y right 1 OK right -9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35y = -9 left 1 OK left 35y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35y = -9 strategic 1 OK divide 35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35y/35 = -9/35 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -9/35 right 1 BUG right 0.257 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:11:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -9/35 right 2 OK right -0.257 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:12:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x+(-686) = -697 strategic 1 ERROR rf 508/x+(-686) = -697 strategic condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:13:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x+(-686) = -697 strategic 2 BUG subtract 686 Since -686 is negative, you should add to remove it from the left side. Erase your last step and add 686 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:13:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x+(-686) = -697 strategic 3 BUG add -686 To remove -686 from the left side, you can add a positive to it. Erase your last step and add 686 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:13:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x+(-686) = -697 strategic 4 OK add 686 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:13:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x+(-686)+686 = -697+686 left 1 OK left 508/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:13:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x = -697+686 right 1 OK right -11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x = -11 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/x*x = -11x left 1 OK left 508 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508 = -11x right 1 OK right -11x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508 = -11x strategic 1 OK divide -11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/-11 = -11x/-11 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:14:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 508/-11 = x left 1 OK left -46.18 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:15:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -1x+8 = -5x+(-4) strategic 1 BUG subtract -8 To remove 8 from the both side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:15:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -1x+8 = -5x+(-4) strategic 2 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:15:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -x = -5x-12 strategic 1 ERROR add 12 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:15:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -x = -5x-12 strategic 2 ERROR add 12 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:16:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -x = -5x-12 strategic 3 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:16:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 4x = -12 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:16:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x+6 = 3+(-4x) strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:17:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -3-4x strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:18:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -3+x strategic 1 OK add 3 condition 2 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:18:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+2 = -2+(-8x) strategic 1 OK add 2 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:18:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+4 = -8x strategic 1 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:18:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+4 = -8x strategic 2 ERROR add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:18:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+4 = -8x strategic 3 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+2 = -2+(-8x) strategic 2 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2 = -2-12x strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4 = -12x strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y+(-4) = -9y+5 strategic 1 BUG subtract 4 Since -4 is negative, you should add to remove it from the both side. Erase your last step and add 4 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y-8 = -9y+1 strategic 1 ERROR add 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y-8 = -9y+1 strategic 2 ERROR subtract -4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:19:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y+(-4) = -9y+5 strategic 2 OK subtract 5 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:20:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y-9 = -9y strategic 1 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:20:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y-9 = -9y strategic 2 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:20:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9 = -12y strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:21:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+6 = -2x+(-6) strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:21:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -2x-12 strategic 1 ERROR add 12 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:21:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -2x-12 strategic 2 ERROR subtract 3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:21:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -2x-12 strategic 3 ERROR subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:21:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -2x-12 strategic 4 OK add 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -x = -12 strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+9y = -8y+(-3) strategic 1 OK subtract 5 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9y = -8y-8 strategic 1 BUG add -8 To remove -8 from the right side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9y = -8y-8 strategic 2 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 17y = -8 strategic 1 OK divide 17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4+5x = 7+8x strategic 1 OK subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = 3+8x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 3+3x strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:22:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3 = 3x strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x+9 = -3+(-8x) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x = -12-8x strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -12-14x strategic 1 OK add 12 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 12 = -14x strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y+(-8) = 0+7y strategic 1 BUG subtract 8 Since -8 is negative, you should add to remove it from the both side. Erase your last step and add 8 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y+(-8) = 0+7y strategic 2 OK add 8 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y = 7y+8 strategic 1 OK add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 12y+8 strategic 1 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:23:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8 = 12y strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:24:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x+3 = 4x+7 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:24:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x+3-3 = 4x+7-3 left 1 OK left -9x condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:24:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 4x+7-3 right 1 OK right 4x+4 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:25:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 4x+4 strategic 1 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:25:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 4x+4 strategic 2 ERROR subtract -4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:25:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 4x+4 strategic 3 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:25:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 4x+4 strategic 4 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-4x = 4x+4-4x right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:26:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-4x = 4 left 1 OK left -13x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:26:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -13x = 4 strategic 1 OK divide -13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:26:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -13x/-13 = 4/-13 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:26:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4/-13 right 1 OK right -0.3076 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:28:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+(-6y) = -3y+(-8) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+(-6y)-1 = -3y+(-8)-1 left 1 OK left -6y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-8)-1 right 1 OK right -3y+-9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 1 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 2 ERROR add 9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 3 ERROR add 9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 4 ERROR subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:29:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 5 ERROR subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 6 ERROR subtract -3 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-9) strategic 7 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y+3y = -3y+(-9)+3y left 1 OK left -3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -3y+(-9)+3y right 1 OK right -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -9 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:30:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y/-3 = -9/-3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9/-3 right 1 OK right 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:32:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+7y = 4+(-8y) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:32:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+7y-1 = 4+(-8y)-1 left 1 OK left 7y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 4+(-8y)-1 right 1 OK right 3+-8y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 3+(-8y) strategic 1 OK add 7y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:33:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = 3+(-8y)+7y left 1 BUG left 0 0 is equal to 7y minus 7y. You need to calculate 7y plus 7y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:33:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = 3+(-8y)+7y left 2 BUG left 0y 0y is equal to 7y minus 7y. You need to calculate 7y plus 7y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = 3+(-8y)+7y left 3 BUG left 0 0 is equal to 7y minus 7y. You need to calculate 7y plus 7y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = 3+(-8y)+7y left 4 ERROR left 17y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+7y = 3+(-8y)+7y left 5 OK left 14y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y = 3+(-8y)+7y right 1 ERROR right 3+-1 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y = 3+(-8y)+7y right 2 OK right 3+-1y condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y = 3+(-1y) strategic 1 OK subtract -y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:34:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y-(-1y) = 3+(-1y)-(-1y) left 1 BUG left 13y 13y is equal to 14y plus -1y. You need to calculate 14y minus -1y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14y-(-1y) = 3+(-1y)-(-1y) left 2 OK left 15y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15y = 3+(-1y)-(-1y) right 1 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15y = 3 strategic 1 ERROR distribute 15y = 3 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15y = 3 strategic 2 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 15y/15 = 3/15 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 3/15 right 1 OK right 0.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:36:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+(-5) = 4x+(-4) strategic 1 OK add 4 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+(-5)+4 = 4x+(-4)+4 left 1 ERROR left -5 condition 2 cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+(-5) = 4x+(-4) strategic 2 OK add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:36:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+(-5)+4x = 4x+(-4)+4x left 1 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:36:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 4x+(-4)+4x right 1 BUG right -4 -4 is equal to 4x+[-4] minus 4x. You need to calculate 4x+[-4] plus 4x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:37:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 4x+(-4)+4x right 2 OK right -4+8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -4+8x strategic 1 ERROR clt -5 = -4+8x strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -4+8x strategic 2 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+4 = -4+8x+4 left 1 OK left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = -4+8x+4 right 1 OK right 8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 8x strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/8 = 8x/8 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:38:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/8 = x left 1 BUG left 0.125 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7OalbuD session0 2007-05-04 09:39:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/8 = x left 2 BUG left -1/-8 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I 7gi78ec session0 2007-05-03 08:42:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 2.810249 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:44:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.547202 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:45:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A 13.71 = -13.55+(-14.64x) strategic 1 OK answer-check -1.862 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:46:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A 2938+(-132x) = 6247 strategic 1 OK answer-check -1103/44 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:50:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6140+365x = 1928 strategic 1 OK answer-check -11.53972603 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:54:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 16.64 = -44.83+62.96x strategic 1 ERROR answer-check 1.02439466 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:54:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 16.64 = -44.83+62.96x strategic 2 OK answer-check 0.97633418 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 08:57:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.7+(-11.12x) = -5.01 strategic 1 OK answer-check 0.693345324 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:02:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 44+(-2y) = -6 strategic 1 OK answer-check 25 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:05:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -13.51 = 6.28y+(-2.81) strategic 1 ERROR answer-check 0.58691888 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:06:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -13.51 = 6.28y+(-2.81) strategic 2 ERROR answer-check 0404639175 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:06:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -13.51 = 6.28y+(-2.81) strategic 3 ERROR answer-check 0.404639175 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:07:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -13.51 = 6.28y+(-2.81) strategic 4 OK answer-check -1.7038 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:09:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 38 = 63+97x strategic 1 ERROR answer-check .257731959 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:11:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 38 = 63+97x strategic 2 ERROR answer-check -3.88 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:13:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 38 = 63+97x strategic 3 OK answer-check -25/97 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:16:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 1.16 = -0.97x+2.74 strategic 1 ERROR answer-check -1.59/0.97 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:16:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 1.16 = -0.97x+2.74 strategic 2 ERROR answer-check 1.59/0.97 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:16:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 1.16 = -0.97x+2.74 strategic 3 ERROR answer-check 1.59/.97 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:16:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 1.16 = -0.97x+2.74 strategic 4 OK answer-check 1.6289 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:19:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 2665x+3606 = -3277 strategic 1 OK answer-check -6883/2665 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:23:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 37.53 = -70.09y+69.75 strategic 1 OK answer-check -32.26/-70.09 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:24:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -22 = -20x+25 strategic 1 OK answer-check -47/-20 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:25:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -8.85 = -14.03+5.07y strategic 1 ERROR answer-check -22.88/5.07 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:26:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -8.85 = -14.03+5.07y strategic 2 OK answer-check 5.18/5.07 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:29:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 9928x+(-6296) = -1538 strategic 1 ERROR answer-check 5388/9928 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:29:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 9928x+(-6296) = -1538 strategic 2 ERROR answer-check 5388/-8464 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:30:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 9928x+(-6296) = -1538 strategic 3 ERROR answer-check -8464/9928 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 7gi78ec session0 2007-05-03 09:30:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 9928x+(-6296) = -1538 strategic 4 OK answer-check 0.4793 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I 883KL7w session0 2007-04-16 13:25:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:25:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:25:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:25:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440+(-1756x) = -2277 strategic 1 OK rds -5440+(-1756x) = -2277 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:26:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440-1756x = -2277 strategic 1 ERROR add 1756 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:26:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440-1756x = -2277 strategic 2 BUG subtract 5440 Since -5440 is negative, you should add to remove it from the left side. Erase your last step and add 5440 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:26:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -10880-1756x = -7717 strategic 1 BUG subtract 10880 Since -10880 is negative, you should add to remove it from the left side. Erase your last step and add 10880 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:27:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -21760-1756x = -18597 strategic 1 BUG subtract 21760 Since -21760 is negative, you should add to remove it from the left side. Erase your last step and add 21760 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:27:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440-1756x = -2277 strategic 3 BUG subtract 5440 Since -5440 is negative, you should add to remove it from the left side. Erase your last step and add 5440 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:27:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -10880-1756x = -7717 strategic 2 ERROR clt -10880-1756x = -7717 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440+(-1756x) = -2277 strategic 2 ERROR answer-check 1756 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:29:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -10880-1756x = -7717 strategic 3 BUG subtract 10880 Since -10880 is negative, you should add to remove it from the left side. Erase your last step and add 10880 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:30:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -21760-1756x = -18597 strategic 2 ERROR rds -21760-1756x = -18597 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -21760-1756x = -18597 strategic 3 OK add 21760 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1756x = 3163 strategic 1 OK divide -1756 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:31:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -5440+(-1756x) = -2277 strategic 3 OK answer-check -3163/1756 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -0.83+7.88x = 6.84 strategic 1 OK add 0.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 7.88x = 7.67 strategic 1 OK divide 7.88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -0.83+7.88x = 6.84 strategic 2 OK answer-check 0.9734 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -37.93+2.32y = -72.85 strategic 1 OK add 37.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 2.32y = -34.92 strategic 1 OK divide 2.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:32:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -37.93+2.32y = -72.85 strategic 2 OK answer-check -15.0517 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5120x+2606 = 2120 strategic 1 BUG add 2606 Since 2606 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2606 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5120x+2606 = 2120 strategic 2 OK subtract 2606 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5120x = -486 strategic 1 OK divide -5120 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5120x+2606 = 2120 strategic 3 OK answer-check 243/2560 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -9.43y+6.27 = 4.28 strategic 1 OK subtract 6.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -9.43y = -1.99 strategic 1 OK divide -9.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:33:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -9.43y+6.27 = 4.28 strategic 2 OK answer-check 0.2110 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:34:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27 = 10.48x+7.43 strategic 1 OK subtract 7.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:34:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27-7.43 = 10.48x+7.43-7.43 right 1 OK right 10.48x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:34:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27-7.43 = 10.48x left 1 OK left 11.27-7.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:34:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27-7.43 = 10.48x strategic 1 OK clt 11.27-7.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:35:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A FinalAnswer strategic 1 OK 3.84 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:38:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27-7.43 = 10.48x strategic 2 OK clt 11.27-7.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:38:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.84 = 10.48x strategic 1 OK divide 10.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:38:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.84/10.48 = 10.48x/10.48 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.84/10.48 = x left 1 OK left 0.3664 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session0 2007-04-16 13:39:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.27 = 10.48x+7.43 strategic 2 OK answer-check 0.3664 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283 = 2222 strategic 1 OK subtract 8283 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:52:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283-8283 = 2222-8283 left 1 OK left -8413y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:52:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = 2222-8283 right 1 OK right 2222-82383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:52:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = 2222-82383 strategic 1 OK clt 2222-82383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A FinalAnswer strategic 1 OK -80161 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = 2222-82383 strategic 2 OK clt 2222-82383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:56:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = -80161 strategic 1 OK divide -8413 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:56:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y/-8413 = -80161/-8413 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:57:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -80161/-8413 right 1 OK right 9.5282 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:57:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283 = 2222 strategic 2 ERROR answer-check 9.5282 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 12:58:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283 = 2222 strategic 3 ERROR answer-check -9.5282 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:02:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = 2222-82383 strategic 3 OK clt 2222-82383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:03:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283 = 2222 strategic 4 OK subtract 8283 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:03:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283-8283 = 2222-8283 left 2 OK left -8413y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:04:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = 2222-8283 right 2 OK right -6061 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:04:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y = -6061 strategic 1 OK divide -8413 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:04:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y/-8413 = -6061/-8413 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:04:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -8413y+8283 = 2222 strategic 5 OK answer-check -6061/-8413 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:04:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04 = -1.14x+1.12 strategic 1 OK subtract 1.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04-1.12 = -1.14x+1.12-1.12 right 1 OK right -1.14x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04-1.12 = -1.14x left 1 OK left -14.04-1.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04-1.12 = -1.14x strategic 1 OK clt -14.04-1.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04-1.12 = -1.14x strategic 2 OK clt -14.04-1.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.04 = -1.14x+1.12 strategic 2 OK answer-check -15.16/-1.14 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:05:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90+(-10x) = -88 strategic 1 OK rds 90+(-10x) = -88 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:06:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x = -88 strategic 1 OK subtract 90 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:06:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x-90 = -88-90 left 1 OK left -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:06:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -10x = -88-90 right 1 OK right -178 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90+(-10x) = -88 strategic 2 ERROR answer-check -10/-178 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:07:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x = -88 strategic 2 BUG add 90 Since 90 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 90 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:07:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x+90 = -88+90 left 1 OK left -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:07:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -10x = -88+90 right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:07:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90+(-10x) = -88 strategic 3 ERROR answer-check -10/2 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x = -88 strategic 3 OK subtract 90 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:08:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90-10x-90 = -88-90 left 2 OK left -10x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:08:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -10x = -88-90 right 2 OK right -178 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:08:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90+(-10x) = -88 strategic 4 ERROR answer-check 0.0561 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 90+(-10x) = -88 strategic 5 OK answer-check 17.8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y+(-55) strategic 1 OK rds -71 = -60y+(-55) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y-55 strategic 1 BUG subtract 55 Since -55 is negative, you should add to remove it from the right side. Erase your last step and add 55 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71-55 = -60y-55-55 right 1 OK right -60y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71-55 = -60y left 1 OK left -71-55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71-55 = -60y strategic 1 OK clt -71-55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71-55 = -60y strategic 2 OK clt -71-55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:09:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y+(-55) strategic 2 ERROR answer-check -126/-60 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y-55 strategic 2 ERROR add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y-55 strategic 3 OK add 55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71+55 = -60y-55+55 right 1 OK right -60y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71+55 = -60y left 1 OK left -71+55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71+55 = -60y strategic 1 OK clt -71+55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:10:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -71 = -60y+(-55) strategic 3 OK answer-check -16/-60 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:11:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 1 OK subtract 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:11:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92-11.92 = -7.02-11.92 left 1 OK left -13.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 right 1 OK right -18.94 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:12:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 2 ERROR answer-check -13.55/-18.94 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:12:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 3 BUG add 11.92 Since 11.92 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 11.92 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:12:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92+11.92 = -7.02+11.92 left 1 OK left -13.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:12:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02+11.92 right 1 OK right 4.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:13:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 4 ERROR answer-check -13.55/4.9 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:13:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 5 OK subtract 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:13:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92-11.92 = -7.02-11.92 left 2 OK left -13.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:13:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 right 2 OK right -7.02-11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:14:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 strategic 1 OK clt -7.02-11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:14:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 strategic 2 OK clt -7.02-11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:14:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 6 OK subtract 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:14:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92-11.92 = -7.02-11.92 left 3 OK left -13.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 right 3 OK right -7.02-11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02-11.92 strategic 3 OK clt -7.02-11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 7 BUG add 11.92 Since 11.92 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 11.92 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92+11.92 = -7.02+11.92 left 2 OK left -13.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02+11.92 right 2 OK right -7.02+11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:15:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y = -7.02+11.92 strategic 1 OK clt -7.02+11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:16:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 8 ERROR answer-check 6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:16:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.55y+11.92 = -7.02 strategic 9 OK answer-check 1.3978 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:16:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 54 = -61x+13 strategic 1 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:16:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 54-13 = -61x+13-13 right 1 OK right -61x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:16:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 54-13 = -61x left 1 OK left 41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 54 = -61x+13 strategic 2 OK answer-check 41/-61 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 1 OK subtract 18.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37-18.37 = -82.1-18.37 left 1 OK left -62.53x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x = -82.1-18.37 right 1 OK right -82.1-18.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x = -82.1-18.37 strategic 1 OK clt -82.1-18.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x = -82.1-18.37 strategic 2 OK clt -82.1-18.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:18:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 2 ERROR answer-check -62.53/-100.47 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:18:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 3 BUG add 18.37 Since 18.37 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 18.37 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37+18.37 = -82.1+18.37 left 1 OK left -62.53x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:19:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x = -82.1+18.37 right 1 OK right -63.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:19:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x = -63.73 strategic 1 OK divide -62.53 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:19:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x/-62.53 = -63.73/-62.53 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 4 ERROR answer-check 1.0191 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 5 ERROR answer-check 8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:20:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -62.53x+18.37 = -82.1 strategic 6 OK answer-check 1.6067 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:20:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 1 OK subtract 1.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:20:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92-1.92 = 7.08-1.92 left 1 OK left -9.98x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:21:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x = 7.08-1.92 right 1 OK right 5.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:21:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 2 ERROR answer-check -9.98/5.16 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:22:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 3 OK subtract 1.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:22:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92-1.92 = 7.08-1.92 left 2 OK left -9.98x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:22:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x = 7.08-1.92 right 2 OK right 5.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:23:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 4 ERROR answer-check -1.9341 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:23:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 5 ERROR answer-check 5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:23:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.98x+1.92 = 7.08 strategic 6 OK answer-check -0.517 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:24:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 1 OK subtract 23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:24:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77-23 = 23+72y-23 right 1 OK right 72y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:24:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77-23 = 72y left 1 OK left 54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:24:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 2 ERROR answer-check 0.7638 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:25:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 3 ERROR answer-check 1.3333 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 4 BUG add 23 Since 23 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 23 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:25:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77+23 = 23+72y+23 right 1 OK right 72y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:25:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77+23 = 72y left 1 OK left 100 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:26:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 5 ERROR answer-check 1.3888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:26:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 77 = 23+72y strategic 6 OK answer-check 0.75 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:27:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.16 = 13.16+12y strategic 1 OK subtract 13.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:27:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.16-13.16 = 13.16+12y-13.16 right 1 OK right 12y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:27:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.16-13.16 = 12y left 1 OK left -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:27:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.16 = 13.16+12y strategic 2 OK answer-check -8/12 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 1 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13-13 = -84-13 left 1 OK left 88x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x = -84-13 right 1 OK right -84-13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 2 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13-13 = -84-13 left 2 OK left 88x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x = -84-13 right 2 OK right -97 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 3 ERROR answer-check 88/-97 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:29:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 4 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:29:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13-13 = -84-13 left 3 OK left 88x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:29:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x = -84-13 right 3 OK right -97 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:29:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 5 ERROR answer-check -0.9072 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:30:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 6 ERROR answer-check 0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:30:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 7 ERROR answer-check 5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:30:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x = -97 strategic 1 OK divide 88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:30:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x/88 = -97/88 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:31:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 88x+13 = -84 strategic 8 OK answer-check -1.1023 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:31:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4265 = 6982x+3007 strategic 1 OK subtract 3007 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:31:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4265-3007 = 6982x+3007-3007 right 1 OK right 6982x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:32:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4265-3007 = 6982x left 1 OK left -7272 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:33:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4265 = 6982x+3007 strategic 2 OK answer-check -7272/6982 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -26.51 = 35+28.9x strategic 1 OK subtract 35 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:33:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -26.51-35 = 35+28.9x-35 right 1 OK right 28.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:33:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -26.51-35 = 28.9x left 1 OK left -61.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:34:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -26.51 = 35+28.9x strategic 2 OK answer-check -61.51/28.9 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:34:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 750 = -403/y+712 strategic 1 ERROR subtract 403 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:35:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 750 = -403/y+712 strategic 2 OK subtract 712 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:35:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 38 = -403/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:35:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 38y = -403 strategic 1 OK divide 38 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:35:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 750 = -403/y+712 strategic 3 OK answer-check -403/38 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:36:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -52 = 72+70/x strategic 1 OK subtract 72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:36:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -124 = 70/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:36:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -124x = 70 strategic 1 OK divide -124 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:36:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -52 = 72+70/x strategic 2 OK answer-check -35/62 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -973 = -737/x+791 strategic 1 OK subtract 791 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1764 = -737/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1764x = -737 strategic 1 OK divide -1764 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -973 = -737/x+791 strategic 2 OK answer-check 737/1764 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 695 = 527+808/x strategic 1 OK subtract 527 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:37:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 168 = 808/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 168x = 808 strategic 1 OK divide 168 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 695 = 527+808/x strategic 2 OK answer-check 101/21 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 31 = 23/y+27 strategic 1 OK subtract 27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 31-27 = 23/y+27-27 right 1 OK right 23/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 31-27 = 23/y left 1 OK left 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session1 2007-04-20 13:38:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 4 = 23/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:50:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 4y = 23/y*y right 1 OK right 23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:50:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 4y = 23 left 1 OK left 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:50:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 4y = 23 strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:50:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 4y/4 = 23/4 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:50:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 23/4 right 1 OK right 5.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 31 = 23/y+27 strategic 1 OK answer-check 5.75 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x = 98 strategic 1 OK subtract 183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x-183 = 98-183 left 1 OK left 125/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x = 98 strategic 2 OK subtract 183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x-183 = 98-183 left 2 OK left 250/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x = 98-183 right 1 OK right 98-183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:51:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x = 98-183 strategic 1 OK clt 98-183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:52:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x = 98 strategic 3 OK subtract 183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:52:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x-183 = 98-183 left 3 OK left 250/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x = 98-183 right 2 OK right -85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:52:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x = -85 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x = -85 strategic 2 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/x*x = -85x left 1 OK left 250 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250 = -85x right 1 OK right -85x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250 = -85x strategic 1 OK divide -85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 250/-85 = -85x/-85 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 183+250/x = 98 strategic 4 OK answer-check -2.9411 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 10+94/y = -25 strategic 1 OK subtract 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 10+94/y-10 = -25-10 left 1 OK left 94/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/y = -25-10 right 1 OK right -35 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/y = -35 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/y*y = -35y left 1 OK left 94 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -35y right 1 OK right -35y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:54:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = -35y strategic 1 OK divide -35 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:55:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 10+94/y = -25 strategic 2 OK answer-check -2.6857 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:55:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+3y = 9+10y strategic 1 OK subtract 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:55:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 3y = 4+10y strategic 1 OK subtract 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:56:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 3y = 4+10y strategic 2 OK subtract 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:56:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y = 4 strategic 1 ERROR clt -7y = 4 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:56:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y = 4 strategic 2 OK divide -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:57:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+3y = 9+10y strategic 2 OK answer-check -4/7 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:57:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4+4x = 2+6x strategic 1 OK subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:57:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -2+6x strategic 1 ERROR subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:57:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -2+6x strategic 2 ERROR subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:57:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x-2 = -4+6x strategic 1 ERROR subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -2+6x strategic 3 ERROR add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+2 = 6x strategic 1 ERROR subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 6x-2 strategic 1 ERROR add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4+4x = 2+6x strategic 2 OK subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -2+6x strategic 4 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2x = -2 strategic 1 OK divide -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:58:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4+4x = 2+6x strategic 3 OK answer-check 1 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y+(-2) = 7+6y strategic 1 OK rds 10y+(-2) = 7+6y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y+(-2) = 7+6y strategic 2 OK rds 10y+(-2) = 7+6y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y-2 = 7+6y strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the both side. Erase your last step and add 2 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y-4 = 5+6y strategic 1 ERROR add 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y-2 = 7+6y strategic 2 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y = 9+6y strategic 1 OK subtract 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y = 9 strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 12:59:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y+(-2) = 7+6y strategic 3 OK answer-check 9/4 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+3y = 3+(-9y) strategic 1 OK rds -1+3y = 3+(-9y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:00:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+3y = 3-9y strategic 1 ERROR add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:00:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+3y = 6-9y strategic 1 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:00:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+3y = 6-9y strategic 2 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+3y = 6-9y strategic 3 ERROR subtract 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+3y = 6-9y strategic 4 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+12y = 6 strategic 1 ERROR subtract 12y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+3y = 3+(-9y) strategic 2 OK rds -1+3y = 3+(-9y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+3y = 3-9y strategic 2 OK add 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 3y = 4-9y strategic 1 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12y = 4 strategic 1 OK divide 12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:01:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+3y = 3+(-9y) strategic 3 OK answer-check 1/3 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+(-2) = 8+9x strategic 1 OK rds -2x+(-2) = 8+9x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-2 = 8+9x strategic 1 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-2+2 = 8+9x+2 left 1 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 8+9x+2 right 1 OK right 8+9x+2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 8+9x+2 strategic 1 OK clt 8+9x+2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x1R1 strategic 1 OK +9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms1R1 strategic 1 OK 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant terms2R1 strategic 1 OK +2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 xR2 strategic 1 OK 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:02:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 constant termsR2 strategic 1 OK 8+2 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:03:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 OK 9x+10 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:03:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 8+9x+2 strategic 2 OK clt 8+9x+2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:04:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 10+9x strategic 1 OK subtract 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:04:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 10+9x strategic 2 OK subtract 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:04:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-9x = 10+9x-9x right 1 OK right 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-9x = 10 left 1 OK left -2x-9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-9x = 10 strategic 1 OK clt -2x-9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11x = 10 strategic 1 OK divide -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11x/-11 = 10/-11 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+(-2) = 8+9x strategic 2 OK answer-check -0.9090 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:05:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-9) strategic 1 OK rds -6+6y = 9y+(-9) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y-9 strategic 1 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y+6 = 9y-9+6 left 1 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-9+6 right 1 OK right 9y-9+6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-9+6 strategic 1 OK clt 9y-9+6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-9+6 strategic 2 OK clt 9y-9+6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 1 ERROR add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y-3+3 right 1 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y left 1 OK left 6y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y strategic 1 ERROR clt 6y+3 = 9y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 2 ERROR add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = 9y-3+9y right 1 OK right -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = -3 left 1 OK left 6y+9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = -3 strategic 1 OK clt 6y+9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y = -3 strategic 1 OK divide 15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:07:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y/15 = -3/15 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:08:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -3/15 right 1 OK right -0.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:08:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-9) strategic 2 ERROR answer-check -0.2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:08:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 3 ERROR add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:08:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y-3+3 right 2 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:08:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y left 2 OK left 6y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:09:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y strategic 2 ERROR clt 6y+3 = 9y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:09:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 4 ERROR add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:09:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y-3+3 right 3 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:09:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y left 3 OK left 6y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:09:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y strategic 3 ERROR clt 6y+3 = 9y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y strategic 4 ERROR subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 5 ERROR subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-3 = 9y-3-3 right 1 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-3 = 9y left 1 OK left 6y-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-3 = 9y strategic 1 ERROR clt 6y-3 = 9y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 6 ERROR clt 6y = 9y-3 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 7 ERROR add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:10:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = 9y-3+9y right 2 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:11:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = 9y left 1 OK left 6y+9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:11:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = 9y strategic 1 OK clt 6y+9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:12:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y = 9y strategic 1 BUG divide 15 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:12:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+9y = 9y strategic 2 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 9y-3 strategic 8 ERROR add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y-3+3 right 4 OK right 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y left 4 OK left 6y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3 = 9y strategic 5 OK subtract 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3-6y = 9y-6y left 1 OK left 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 9y-6y right 1 OK right 9y-6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:14:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+6y = 9y+(-9) strategic 3 OK answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 1 OK rds -7+(-2x) = -8+(-2x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x = -8-2x strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x+7 = -8-2x+7 left 1 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 right 1 OK right -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 1 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 2 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 1 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2x = -1-2x+2x left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 3 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 2 ERROR add 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+1 = -1-2x+1 right 1 OK right -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+1 = -2x left 1 OK left -2x+1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+1 = -2x strategic 1 ERROR subtract 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:16:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+1-2x = -2x-2x left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = -2x-2x right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 2 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x = -8-2x strategic 2 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x+7 = -8-2x+7 left 2 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 right 2 OK right -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 4 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 3 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2x = -1-2x+2x left 2 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x+2x right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1 strategic 1 OK divide -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = -1/-2 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:18:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 3 ERROR answer-check 0.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:19:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 4 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:19:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 5 ERROR subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:19:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-1 = -1-2x-1 right 1 OK right -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-1 = -2x left 1 OK left -2x-1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-1 = -2x strategic 1 ERROR clt -2x-1 = -2x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-1 = -2x strategic 2 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-1+2x = -2x+2x right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 4 OK rds -7+(-2x) = -8+(-2x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x = -8-2x strategic 3 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:20:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x+7 = -8-2x+7 left 3 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:21:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 right 3 OK right -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:21:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 5 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:21:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 6 ERROR subtract 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-2x = -1-2x-2x right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:21:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -1-2x strategic 7 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2x = -1-2x+2x right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2x = -1 left 1 OK left 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 5 ERROR answer-check 2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = -8+(-2x) strategic 6 OK rds -7+(-2x) = -8+(-2x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x = -8-2x strategic 4 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-2x+7 = -8-2x+7 left 4 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:22:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 right 4 OK right -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:23:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 6 OK clt -8-2x+7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:23:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -8-2x+7 strategic 7 OK add 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:24:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2x = -8-2x+7+2x left 1 OK left 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:24:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2x = -8-2x+7+2x right 1 OK right 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+6 = 4+4y strategic 1 OK subtract 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+6-6 = 4+4y-6 left 1 OK left -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 4+4y-6 right 1 OK right 4+4y-6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 4+4y-6 strategic 1 OK clt 4+4y-6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 4+4y-6 strategic 2 OK clt 4+4y-6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = -2+4y strategic 1 OK subtract 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y-4y = -2+4y-4y right 1 OK right -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:26:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y-4y = -2 left 1 OK left -3y-4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y-4y = -2 strategic 1 OK clt -3y-4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7y = -2 strategic 1 OK divide -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7y/-7 = -2/-7 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+6 = 4+4y strategic 2 OK answer-check 0.2857 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-8) = 1x+(-1) strategic 1 OK rds -5x+(-8) = 1x+(-1) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:27:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-8 = 1x-1 strategic 1 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-8+8 = 1x-1+8 left 1 OK left -5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = 1x-1+8 right 1 OK right 1x-1+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = 1x-1+8 strategic 1 OK unnec-elems -5x=1x-1+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = x-1+8 strategic 1 OK clt x-1+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = x-1+8 strategic 2 OK clt x-1+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = x+7 strategic 1 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-x = x+7-x right 1 OK right 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-x = 7 left 1 OK left -5x-x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-x = 7 strategic 1 OK clt -5x-x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x = 7 strategic 1 OK divide -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x/-6 = 7/-6 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-8) = 1x+(-1) strategic 2 ERROR answer-check -1.6666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-8) = 1x+(-1) strategic 3 ERROR answer-check -1.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:29:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-8) = 1x+(-1) strategic 4 ERROR answer-check -1.67 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-8) = 1x+(-1) strategic 5 OK answer-check -1.1667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+(-10) = -5+(-5x) strategic 1 OK rds 9x+(-10) = -5+(-5x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x-10 = -5-5x strategic 1 OK add 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x-10+10 = -5-5x+10 left 1 OK left 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -5-5x+10 right 1 OK right -5-5x+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -5-5x+10 strategic 1 OK clt -5-5x+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -5-5x+10 strategic 2 OK clt -5-5x+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:30:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = 5-5x strategic 1 OK add 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+5x = 5-5x+5x right 1 OK right 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+5x = 5 left 1 OK left 9x+5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+5x = 5 strategic 1 OK clt 9x+5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14x = 5 strategic 1 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14x/14 = 5/14 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+(-10) = -5+(-5x) strategic 2 OK answer-check 0.3571 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-8) = 2x+5 strategic 1 OK rds 8x+(-8) = 2x+5 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:31:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-8 = 2x+5 strategic 1 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-8+8 = 2x+5+8 left 1 OK left 8x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 2x+5+8 right 1 OK right 2x+5+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 2x+5+8 strategic 1 OK clt 2x+5+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 2x+5+8 strategic 2 OK clt 2x+5+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 2x+13 strategic 1 OK subtract 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-2x = 2x+13-2x right 1 OK right 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-2x = 13 left 1 OK left 8x-2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-2x = 13 strategic 1 OK clt 8x-2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 13 strategic 1 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:32:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x/6 = 13/6 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:33:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 13/6 right 1 OK right 2.1667 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-8) = 2x+5 strategic 2 OK answer-check 2.1667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:33:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 1.75x+1.48 = 6.56x+4.1 strategic 1 OK subtract 1.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:33:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 1.75x = 6.56x+2.62 strategic 1 OK subtract 6.56x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:34:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -4.81x = 2.62 strategic 1 OK divide -4.81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:34:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 1.75x+1.48 = 6.56x+4.1 strategic 2 OK answer-check -0.5447 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:34:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 1 OK rds -8.17+3.85y = 4.99+(-5.71y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 1 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:35:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 1 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:35:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 2 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:35:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 2 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:36:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 3 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:36:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 3 ERROR add 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:36:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+7.7y = -3.18-1.86y strategic 1 ERROR clt -16.34+7.7y = -3.18-1.86y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:37:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 4 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:37:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 1 ERROR clt -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:37:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 4 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:38:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 5 ERROR add 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:38:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+7.7y = -3.18-1.86y strategic 2 OK subtract 7.7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:38:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 6 BUG subtract 16.34 Since -16.34 is negative, you should add to remove it from the both side. Erase your last step and add 16.34 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:38:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -32.68+3.85y = -19.52-5.71y strategic 1 ERROR clt -32.68+3.85y = -19.52-5.71y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:38:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 2 OK rds -8.17+3.85y = 4.99+(-5.71y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session2 2007-04-23 13:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 5 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:18:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 1 OK rds -8.17+3.85y = 4.99+(-5.71y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 1 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:18:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17 = 4.99-9.56y strategic 1 BUG add 4.99 Since 4.99 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4.99 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:18:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 2 OK rds -8.17+3.85y = 4.99+(-5.71y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:18:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 2 ERROR add 4.99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:19:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -3.18+3.85y = 9.98-5.71y strategic 1 OK add 5.71y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 3 ERROR clt -8.17+3.85y = 4.99-5.71y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 4 OK add 5.71y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:19:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+9.56y = 4.99 strategic 1 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the left side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session3 2007-04-25 13:20:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+9.56y = 4.99 strategic 2 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the left side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:50:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 1 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:51:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17 = 4.99-9.56y strategic 1 BUG add 4.99 Since 4.99 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4.99 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:51:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17 = 4.99-9.56y strategic 2 ERROR clt -8.17 = 4.99-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:51:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17 = 4.99-9.56y strategic 3 BUG add 4.99 Since 4.99 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4.99 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:51:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 2 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:52:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 1 OK add 5.71y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:52:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+9.56y = -3.18 strategic 1 BUG subtract 16.34 Since -16.34 is negative, you should add to remove it from the left side. Erase your last step and add 16.34 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:53:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 1 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 2 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 1 ERROR clt -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 3 OK add 5.71y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+9.56y = -3.18 strategic 2 ERROR clt -16.34+9.56y = -3.18 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 2 OK rds -8.17+3.85y = 4.99+(-5.71y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:54:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 3 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 4 ERROR clt -16.34+3.85y = -3.18-5.71y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:55:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 5 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 2 BUG subtract 3.18 Since -3.18 is negative, you should add to remove it from the right side. Erase your last step and add 3.18 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 3 ERROR clt -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:56:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 4 ERROR add 9.56y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:56:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+9.56y = -3.18 strategic 3 BUG subtract 16.34 Since -16.34 is negative, you should add to remove it from the left side. Erase your last step and add 16.34 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:56:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99-5.71y strategic 4 BUG subtract 8.17 Since -8.17 is negative, you should add to remove it from the both side. Erase your last step and add 8.17 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:57:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34+3.85y = -3.18-5.71y strategic 6 OK subtract 3.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:57:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 5 ERROR distribute -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:57:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 6 ERROR rds -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:57:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 7 ERROR clt -16.34 = -3.18-9.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:57:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.34 = -3.18-9.56y strategic 8 OK add 3.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:58:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -13.16 = -9.56y strategic 1 OK divide -9.56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:58:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.17+3.85y = 4.99+(-5.71y) strategic 3 OK answer-check 1.3766 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:58:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.93+8.58x = -6.79+4.92x strategic 1 BUG subtract 0.93 Since -0.93 is negative, you should add to remove it from the both side. Erase your last step and add 0.93 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:58:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.86+8.58x = -7.72+4.92x strategic 1 OK subtract 8.58x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:58:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.86 = -7.72-3.66x strategic 1 OK add 7.72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 5.86 = -3.66x strategic 1 OK divide -3.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.93+8.58x = -6.79+4.92x strategic 2 OK answer-check -1.6011 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.19y+(-2.31) = -2.47+0.56y strategic 1 OK rds 2.19y+(-2.31) = -2.47+0.56y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.19y-2.31 = -2.47+0.56y strategic 1 OK add 2.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.19y = -0.16+0.56y strategic 1 OK subtract 0.56y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.63y = -0.16 strategic 1 OK divide 1.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 12:59:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.19y+(-2.31) = -2.47+0.56y strategic 2 OK answer-check -0.0982 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x+(-8.12) = -2.13+(-1.99x) strategic 1 OK rds -4.93x+(-8.12) = -2.13+(-1.99x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x-8.12 = -2.13-1.99x strategic 1 OK add 8.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x-8.12+8.12 = -2.13-1.99x+8.12 left 1 OK left -4.93x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x = -2.13-1.99x+8.12 right 1 OK right -2.13-1.99x+8.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x = -2.13-1.99x+8.12 strategic 1 OK clt -2.13-1.99x+8.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:00:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x = -2.13-1.99x+8.12 strategic 2 OK clt -2.13-1.99x+8.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x = 5.99-1.99x strategic 1 OK add 1.99x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x+1.99x = 5.99-1.99x+1.99x right 1 OK right 5.99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x+1.99x = 5.99 left 1 OK left -4.93x+1.99x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x+1.99x = 5.99 strategic 1 OK clt -4.93x+1.99x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.94x = 5.99 strategic 1 OK divide -2.94 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.94x/-2.94 = 5.99/-2.94 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:02:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.93x+(-8.12) = -2.13+(-1.99x) strategic 2 OK answer-check -2.0374 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:02:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74+(-5.43y) = -7.68y+(-0.05) strategic 1 OK rds -6.74+(-5.43y) = -7.68y+(-0.05) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:02:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74-5.43y = -7.68y-0.05 strategic 1 OK add 6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74-5.43y+6.74 = -7.68y-0.05+6.74 left 1 OK left -5.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y-0.05+6.74 right 1 OK right -7.68y-0.05+6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y-0.05+6.74 strategic 1 OK clt -7.68y-0.05+6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y-0.05+6.74 strategic 2 OK clt -7.68y-0.05+6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y+6.69 strategic 1 ERROR subtract 7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = -7.68y+6.69-7.68y right 1 OK right 6.69 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = 6.69 left 1 OK left -5.43y-7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:03:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = 6.69 strategic 1 OK clt -5.43y-7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:04:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.11y = 6.69 strategic 1 OK divide -13.11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:04:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.11y/-13.11 = 6.69/-13.11 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:04:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74+(-5.43y) = -7.68y+(-0.05) strategic 2 ERROR answer-check -0.5102 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:05:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74+(-5.43y) = -7.68y+(-0.05) strategic 3 ERROR answer-check 6.69/-13.11 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:06:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74-5.43y = -7.68y-0.05 strategic 2 OK add 6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:06:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74-5.43y+6.74 = -7.68y-0.05+6.74 left 2 OK left -5.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:06:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y-0.05+6.74 right 2 OK right -7.68y-0.05+6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:06:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y-0.05+6.74 strategic 3 OK clt -7.68y-0.05+6.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:06:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y = -7.68y+6.69 strategic 2 ERROR subtract 7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = -7.68y+6.69-7.68y right 2 OK right 6.69 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:07:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = 6.69 left 2 OK left -5.43y-7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:07:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.43y-7.68y = 6.69 strategic 2 OK clt -5.43y-7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:07:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.11y = 6.69 strategic 2 OK divide -13.11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.11y/-13.11 = 6.69/-13.11 left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74+(-5.43y) = -7.68y+(-0.05) strategic 4 ERROR answer-check 0.5102 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.74+(-5.43y) = -7.68y+(-0.05) strategic 5 OK answer-check 2.9733 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 1 OK rds 8.49y+3.51 = 1.28y+(-7.91) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y-7.91 strategic 1 OK subtract 3.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51-3.51 = 1.28y-7.91-3.51 left 1 OK left 8.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y = 1.28y-7.91-3.51 right 1 OK right 1.28y-7.91-3.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:08:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y = 1.28y-7.91-3.51 strategic 1 OK clt 1.28y-7.91-3.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y = 1.28y-7.91-3.51 strategic 2 OK clt 1.28y-7.91-3.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y = 1.28y-11.42 strategic 1 ERROR add 1.28y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+1.28y = 1.28y-11.42+1.28y right 1 OK right -11.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+1.28y = -11.42 left 1 OK left 8.49y+1.28y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+1.28y = -11.42 strategic 1 OK clt 8.49y+1.28y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.77y = -11.42 strategic 1 OK divide 9.77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:09:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.77y/9.77 = -11.42/9.77 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 2 ERROR answer-check -1.1688 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:11:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 3 ERROR answer-check 4 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:11:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 4 ERROR answer-check 155 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:11:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 5 ERROR answer-check 1.5839 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.49y+3.51 = 1.28y+(-7.91) strategic 6 OK answer-check -1.5839 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58+(-9.07y) = 2.97+5.27y strategic 1 OK rds 6.58+(-9.07y) = 2.97+5.27y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58-9.07y = 2.97+5.27y strategic 1 BUG add 6.58 Since 6.58 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6.58 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58-9.07y+6.58 = 2.97+5.27y+6.58 left 1 OK left -9.07y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y = 2.97+5.27y+6.58 right 1 OK right 2.97+5.27y+6.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y = 2.97+5.27y+6.58 strategic 1 OK clt 2.97+5.27y+6.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:12:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y = 2.97+5.27y+6.58 strategic 2 OK clt 2.97+5.27y+6.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:13:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y = 9.55+5.27y strategic 1 OK subtract 5.27y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y-5.27y = 9.55+5.27y-5.27y right 1 OK right 9.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:13:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y-5.27y = 9.55 left 1 OK left -14.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:13:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y = 9.55+5.27y strategic 2 ERROR subtract 5.37y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:14:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.07y-5.37y = 9.55+5.27y-5.37y left 1 OK left -14.34y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -14.34y = 9.55+5.27y-5.37y right 1 OK right 9.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:14:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -14.34y = 9.55 strategic 1 OK divide -14.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:14:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -14.34y/-14.34 = 9.55/-14.34 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:14:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58+(-9.07y) = 2.97+5.27y strategic 2 ERROR answer-check -0.6659 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:15:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58+(-9.07y) = 2.97+5.27y strategic 3 ERROR answer-check 9.55/-14.34 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:15:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 9.55/-14.34 right 1 OK right -0.6659 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58+(-9.07y) = 2.97+5.27y strategic 4 ERROR answer-check -0.6660 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:16:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.58+(-9.07y) = 2.97+5.27y strategic 5 OK answer-check 0.2517 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y+(-5.92) = -7.03y+1.63 strategic 1 OK rds 3.86y+(-5.92) = -7.03y+1.63 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:16:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y-5.92 = -7.03y+1.63 strategic 1 OK add 5.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:16:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y-5.92+5.92 = -7.03y+1.63+5.92 left 1 OK left 3.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y = -7.03y+1.63+5.92 right 1 OK right -7.03y+1.63+5.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y = -7.03y+1.63+5.92 strategic 1 OK clt -7.03y+1.63+5.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y = -7.03y+1.63+5.92 strategic 2 OK clt -7.03y+1.63+5.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y = -7.03y+7.55 strategic 1 ERROR subtract 7.03y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y-7.03y = -7.03y+7.55-7.03y right 1 OK right 7.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y-7.03y = 7.55 left 1 OK left 3.86y-7.03y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y-7.03y = 7.55 strategic 1 OK clt 3.86y-7.03y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.17y = 7.55 strategic 1 OK divide -3.17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:17:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.17y/-3.17 = 7.55/-3.17 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:18:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y+(-5.92) = -7.03y+1.63 strategic 2 ERROR answer-check -2.3817 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:18:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y+(-5.92) = -7.03y+1.63 strategic 3 ERROR answer-check -2.3 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:18:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y+(-5.92) = -7.03y+1.63 strategic 4 ERROR answer-check -2.378 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:18:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 3.86y+(-5.92) = -7.03y+1.63 strategic 5 OK answer-check 0.6933 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:19:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.55+9.13x = -2.3+3.02x strategic 1 OK subtract 4.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.55+9.13x-4.55 = -2.3+3.02x-4.55 left 1 OK left 9.13x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:19:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x = -2.3+3.02x-4.55 right 1 OK right -2.3+3.02x-4.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:19:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x = -2.3+3.02x-4.55 strategic 1 OK clt -2.3+3.02x-4.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:19:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x = -2.3+3.02x-4.55 strategic 2 OK clt -2.3+3.02x-4.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x = -6.85+3.02x strategic 1 OK subtract 3.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x-3.02x = -6.85+3.02x-3.02x right 1 OK right -6.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x-3.02x = -6.85 left 1 OK left 9.13x-3.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.13x-3.02x = -6.85 strategic 1 OK clt 9.13x-3.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.11x = -6.85 strategic 1 OK divide 6.11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:20:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.11x/6.11 = -6.85/6.11 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -6.85/6.11 right 1 OK right -1.1211 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.55+9.13x = -2.3+3.02x strategic 2 OK answer-check -1.1211 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.22+7.24y = -7.87y+(-5.98) strategic 1 OK rds -0.22+7.24y = -7.87y+(-5.98) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.22+7.24y = -7.87y-5.98 strategic 1 BUG subtract 0.22 Since -0.22 is negative, you should add to remove it from the both side. Erase your last step and add 0.22 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.22+7.24y-0.22 = -7.87y-5.98-0.22 left 1 OK left 7.24y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y = -7.87y-5.98-0.22 right 1 OK right -7.87y-5.98-0.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:21:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y = -7.87y-5.98-0.22 strategic 1 OK clt -7.87y-5.98-0.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y = -7.87y-5.98-0.22 strategic 2 OK clt -7.87y-5.98-0.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y = -7.87y-6.2 strategic 1 OK add 7.87y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y+7.87y = -7.87y-6.2+7.87y right 1 OK right -6.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y+7.87y = -6.2 left 1 OK left 7.24y+7.87y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.24y+7.87y = -6.2 strategic 1 OK clt 7.24y+7.87y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 15.11y = -6.2 strategic 1 OK divide 15.11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 15.11y/15.11 = -6.2/15.11 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:23:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -6.2/15.11 right 1 OK right -0.4103 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I 883KL7w session4 2007-04-27 13:23:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.22+7.24y = -7.87y+(-5.98) strategic 2 ERROR answer-check -0.4103 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I 8EWewH7 session31 2007-04-20 13:27:55.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR clt -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:28:07.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR rds -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:28:31.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 3 BUG divide 555 You want to isolate -1144y by removing -555 from the right side. 555 is subtracted from -1144y. What is the opposite of subtraction? BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:28:51.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 4 ERROR add -1613 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:29:41.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 5 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:30:05.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:30:09.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:30:28.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 994 = -7891y+5023 strategic 1 OK subtract 5023 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:30:38.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -4029 = -7891y strategic 1 OK divide -7891 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:30:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -28.42x+5.4 = 32.85 strategic 1 OK subtract 5.4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:02.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -28.42x = 27.45 strategic 1 OK divide -28.42 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -12.17x+(-7.92) = -12.71 strategic 1 OK subtract -7.92 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:30.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -12.17x = -4.79 strategic 1 OK divide -12.17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:39.0 CYCLE CYCLE ES_05 ES_05-2 EG43 75 = -52x+10 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43 75-10 = -52x+10-10 left 1 OK left 75-10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:31:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 75-10 = -52x+10-10 right 1 OK right -52x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:32:03.0 CYCLE CYCLE ES_05 ES_05-2 EG43 75-10 = -52x strategic 1 OK clt 75-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:32:20.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK 65 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:32:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43 65 = -52x strategic 1 OK divide -52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:32:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 65/-52 = -52x/-52 left 1 OK left -1.25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:32:56.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -1.25 = -52x/-52 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:33:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35+(-2.39x) = 0.92 strategic 1 ERROR clt -6.35+(-2.39x) = 0.92 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:33:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35+(-2.39x) = 0.92 strategic 2 OK subtract -6.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:33:59.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35+(-2.39x)-(-6.35) = 0.92-(-6.35) left 1 ERROR left (-2.39x)-(-6.35) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:34:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35+(-2.39x)-(-6.35) = 0.92-(-6.35) left 2 OK left -6.35+(-2.39x)-(-6.35) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:34:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35-2.39x+6.35 = 0.92-(-6.35) right 1 OK right .92-(-6.35) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:34:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35-2.39x+6.35 = 0.92+6.35 strategic 1 BUG divide 7.27 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.35-2.39x+6.35 = 0.92+6.35 strategic 2 OK clt -6.35-2.39x+6.35 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 1 BUG -6.35 -6.35
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6.35, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 2 BUG  6.35  6.35
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  6.35, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 3 BUG -6.35 -6.35
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6.35, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms2R1 strategic 1 OK +6.35 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms1R1 strategic 1 BUG  2.39x  2.39x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  2.39x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:35:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 5 BUG  2.39x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 6 OK -2.39x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms1R1 strategic 2 OK -6.35 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:14.0 HINT HINT ES_05 ES_05-2 EG42B xR2 strategic 1 INITIAL_HINT In the group above, you have [-2.39x]. Type [-2.39x] here. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42B xR2 strategic 2 OK -2.39x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:26.0 HINT HINT ES_05 ES_05-2 EG42B constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [-6.35]+[+6.35]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:28.0 HINT HINT ES_05 ES_05-2 EG42B null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:32.0 HINT HINT ES_05 ES_05-2 EG42B null strategic 2 HINT_LEVEL_CHANGE Adding [-6.35]+[+6.35] yields 0. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:39.0 HINT HINT ES_05 ES_05-2 EG42B FinalAnswer strategic 1 INITIAL_HINT Above, you have [-2.39x]+[0]. Enter -2.39x as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 2 OK -2.39x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -2.39x = 0.92+6.35 strategic 1 OK clt 0.92+6.35 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:36:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 3 OK 7.27 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:37:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -2.39x = 7.27 strategic 1 OK divide -2.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:37:03.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -2.39x/-2.39 = 7.27/-2.39 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:37:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x = 7.27/-2.39 right 1 BUG right 3.04 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:37:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x = 7.27/-2.39 right 2 OK right -3.04 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:38:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y+(-0.71) = 12.17 strategic 1 OK subtract -.71 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:38:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y+(-0.71)-(-0.71) = 12.17-(-0.71) left 1 OK left -4.25y+(-.71)-(-.71) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:38:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y-0.71+0.71 = 12.17-(-0.71) right 1 OK right 12.17-(-.71) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:38:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y-0.71+0.71 = 12.17+0.71 strategic 1 OK clt -4.25y-0.71+0.71 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42C y1R1 strategic 1 OK -4.25y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42C constant terms1R1 strategic 1 OK -0.71 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42C constant terms2R1 strategic 1 OK +0.71 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42C yR2 strategic 1 OK -4.25y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:18.0 HINT HINT ES_05 ES_05-2 EG42C constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [-0.71]+[+0.71]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:19.0 HINT HINT ES_05 ES_05-2 EG42C null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:24.0 HINT HINT ES_05 ES_05-2 EG42C null strategic 2 HINT_LEVEL_CHANGE Adding [-0.71]+[+0.71] yields 0. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42C constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:33.0 CYCLE CYCLE ES_05 ES_05-2 EG42C FinalAnswer strategic 1 OK -4.25y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y = 12.17+0.71 strategic 1 OK clt 12.17+0.71 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:47.0 CYCLE CYCLE ES_05 ES_05-2 EG42C FinalAnswer strategic 2 OK 12.88 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y = 12.88 strategic 1 OK divide -4.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:39:56.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.25y/-4.25 = 12.88/-4.25 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:40:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42C y = 12.88/-4.25 right 1 OK right -3.030 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:40:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9634 = -6660x+(-588) strategic 1 OK subtract -588 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:40:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9634-(-588) = -6660x+(-588)-(-588) left 1 OK left 9634-(-588) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:41:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9634+588 = -6660x+(-588)-(-588) right 1 ERROR right -6660x+(-588)-(-558) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:41:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9634+588 = -6660x+(-588)-(-588) right 2 OK right -6660x+(-588)-(-588) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:41:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9634+588 = -6660x-588+588 strategic 1 OK clt 9634+588 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 OK 10222 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10222 = -6660x-588+588 strategic 1 OK clt -6660x-588+588 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x1R1 strategic 1 OK -6660x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 1 OK -588 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms2R1 strategic 1 OK +588 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:20.0 CYCLE CYCLE ES_05 ES_05-2 EG43A xR2 strategic 1 OK -6660x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 2 OK -6660x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10222 = -6660x strategic 1 BUG divide -6660x Dividing anything by itself will leave 1. If you divide -6660x by -6660, x will be left. Erase your last step and then divide by -6660. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10222 = -6660x strategic 2 OK divide -6660 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10222/-6660 = -6660x/-6660 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:42:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10222/-6660 = x left 1 OK left -1.534 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:43:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 774 = 212+(-335/x) strategic 1 ERROR mt 774 = 212+(-335/x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:43:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 774 = 212+(-335/x) strategic 2 OK subtract 212 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:43:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 1 ERROR rf 562 = -335/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:43:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 2 BUG divide 335 In this equation, x is multiplied by -335. Dividing by 335 leaves -x, so you still need to remove the negative sign. It is better to divide by -335, since that would leave x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 3 BUG divide 562 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 4 ERROR mt 562 = -335/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 5 ERROR rf 562 = -335/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:21.0 HINT HINT ES_05 ES_05-3 EG59A 562 = -335/x strategic 6 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:23.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -335/x is -335 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 7 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:34.0 HINT HINT ES_05 ES_05-3 EG59A 562 = -335/x strategic 8 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:36.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE -335/x is -335 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:40.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 3 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562 = -335/x strategic 9 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:44:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 562x = -335 strategic 1 OK divide 562 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -28/x+23 = 83 strategic 1 OK subtract 23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -28/x = 60 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -28 = 60x strategic 1 OK divide 60 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:20.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -64 = 46/x+100 strategic 1 OK subtract 100 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:23.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -164 = 46/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -164x = 46 strategic 1 OK divide -164 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 807+(-361/x) = 698 strategic 1 OK subtract 807 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -361/x = -109 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:45:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -361 = -109x strategic 1 BUG divide -361 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -361 = -109x strategic 2 OK divide -109 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x+310 = 750 strategic 1 OK subtract 310 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x+310-310 = 750-310 left 1 OK left -166/x+310-310 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x+310-310 = 750-310 right 1 OK right 750-310 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x+310-310 = 750-310 strategic 1 OK clt -166/x+310-310 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 1 OK -166/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +310 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -310 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:46:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/xR2 strategic 1 OK -166/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK -166/x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x = 750-310 strategic 1 OK clt 750-310 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK 440 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x = 440 strategic 1 ERROR divide -166 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x = 440 strategic 2 BUG divide 166 In this equation, x is multiplied by -166. Dividing by 166 leaves -x, so you still need to remove the negative sign. It is better to divide by -166, since that would leave x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x = 440 strategic 3 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x = 440 strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:47:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x*x = 440x left 1 ERROR left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x*x = 440x right 1 ERROR right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x*x = 440x right 2 OK right 440x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/x*x = 440x left 2 OK left -166 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166 = 440x strategic 1 OK divide 440 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/440 = 440x/440 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -166/440 = x left 1 OK left -.377 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:48:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x+(-75) = -21 strategic 1 OK subtract -75 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x+(-75)-(-75) = -21-(-75) left 1 OK left 47/x+(-75)-(-75) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x-75+75 = -21-(-75) right 1 OK right -21-(-75) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x-75+75 = -21+75 strategic 1 OK clt 47/x-75+75 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/x1R1 strategic 1 OK 47/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK -75 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK +75 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/xR2 strategic 1 OK 47/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK 47/x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x = -21+75 strategic 1 OK clt -21+75 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:49:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 OK 54 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x = 54 strategic 1 ERROR divide 45 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x = 54 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/x*x = 54x left 1 OK left 47 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47 = 54x right 1 OK right 54x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47 = 54x strategic 1 OK divide 54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/54 = 54x/54 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47/54 = x left 1 OK left .870 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:50:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 128 = -319/x+43 strategic 1 OK subtract 43 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 128-43 = -319/x+43-43 left 1 OK left 128-43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 128-43 = -319/x+43-43 right 1 OK right -319/x+43-43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 128-43 = -319/x+43-43 strategic 1 OK clt 128-43 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK 85 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85 = -319/x+43-43 strategic 1 OK clt -319/x+43-43 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 1 OK -319/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +43 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -43 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:51:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -319/x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85 = -319/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85x = -319/x*x left 1 OK left 85x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85x = -319/x*x right 1 OK right -319 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85x = -319 strategic 1 OK divide 85 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 85x/85 = -319/85 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:52:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -319/85 right 1 OK right -3.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:53:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682 = -560/y+909 strategic 1 OK subtract 909 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:53:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 left 1 ERROR left -1519 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:54:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 left 2 OK left -682-909 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:54:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 right 1 ERROR right -560/x+909-909 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:54:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 right 2 OK right -560/y+909-909 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 strategic 1 OK clt -682-909 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 ERROR -1519 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 ERROR 31519 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 3 ERROR 1519 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:21.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 4 INITIAL_HINT 1519 Simplify the expression [-682]+[-909]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:22.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:26.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Adding [-682]+[-909] yields -1591. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:55:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 5 ERROR -1519 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 6 OK -682-909 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y+909-909 strategic 2 OK clt -560/y+909-909 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/y1R1 strategic 1 BUG  560/y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/y1R1 strategic 2 OK -560/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +909 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -909 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/yR2 strategic 1 OK -560/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 7 OK -560/y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -682-909 = -560/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:56:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y left 1 ERROR left -1519 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y right 1 ERROR right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y left 2 ERROR left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:14.0 HINT HINT ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:15.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 3 HINT_LEVEL_CHANGE Type in (-682-909)*y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y left 3 OK left (-682-909)y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:57:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560/y*y right 2 OK right -560 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A (-682-909)*y = -560 strategic 1 OK clt -682-909 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 8 ERROR -1519 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:09.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 9 INITIAL_HINT -1519 Simplify the expression [-682]+[-909]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:11.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 4 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:15.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 5 HINT_LEVEL_CHANGE Adding [-682]+[-909] yields -1591. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 10 OK -1591 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1591y = -560 strategic 1 OK divide -1591 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1591y/-1591 = -560/-1591 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:58:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -560/-1591 right 1 OK right -560/-1591 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:59:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1591y = -560 strategic 2 OK divide -1591 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:59:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1591y/-1591 = -560/-1591 right 1 OK right .3519 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:59:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1591y/-1591 = 0.35197989 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 13:59:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205 = -30 strategic 1 OK subtract 205 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205-205 = -30-205 right 1 OK right -30-205 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205-205 = -30-205 left 1 OK left 425/x+205-205 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205-205 = -30-205 strategic 1 ERROR mt 425/x+205-205 = -30-205 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205-205 = -30-205 strategic 2 ERROR mt 425/x+205-205 = -30-205 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x+205-205 = -30-205 strategic 3 OK clt 425/x+205-205 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 1 OK 425/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +205 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -205 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/xR2 strategic 1 OK 425/x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK 425/x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:00:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x = -30-205 strategic 1 OK clt -30-205 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -235 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x = -235 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x*x = -235x right 1 ERROR right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x*x = -235x right 2 OK right -235x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/x*x = -235x left 1 OK left 425 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425 = -235x strategic 1 OK divide -235 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:01:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/-235 = -235x/-235 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/-235 = x left 1 BUG left 1.808 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 425/-235 = x left 2 OK left -1.808 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82 = -85/y+64 strategic 1 OK subtract 64 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82-64 = -85/y+64-64 left 1 BUG left -82 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82-64 = -85/y+64-64 left 2 OK left -82-64 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82-64 = -85/y+64-64 right 1 BUG right 85/y+64-64 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82-64 = -85/y+64-64 right 2 OK right -85/y+64-64 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:02:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -82-64 = -85/y+64-64 strategic 1 OK clt -82-64 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -146 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146 = -85/y+64-64 strategic 1 OK clt -85/y+64-64 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/y1R1 strategic 1 OK -85/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK +64 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK -64 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/yR2 strategic 1 OK -85/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 ERROR /85/y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 3 ERROR 85/y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 4 OK -85/y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146 = -85/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146y = -85/y*y left 1 OK left -146y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:03:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146y = -85/y*y right 1 BUG right 85 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:04:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146y = -85/y*y right 2 OK right -85 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:04:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146y = -85 strategic 1 OK divide -146 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:04:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -146y/-146 = -85/-146 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:04:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = -85/-146 right 1 OK right .582 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:04:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -39 = -443+(-860/y) strategic 1 OK subtract -443 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -39-(-443) = -443+(-860/y)-(-443) left 1 OK left -39-(-443) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -39+443 = -443+(-860/y)-(-443) right 1 OK right -443+(-860/y)-(-443) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -39+443 = -443-860/y+443 strategic 1 OK clt -39+443 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK 404 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404 = -443-860/y+443 strategic 1 OK clt -443-860/y+443 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:05:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/y1R1 strategic 1 BUG -443 -443
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -443, is not one of the 1/y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/y1R1 strategic 2 OK -860/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK +443 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK -443 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/yR2 strategic 1 OK -860/y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -860/y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404 = -860/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404y = -860/y*y right 1 OK right -860 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404y = -860 left 1 OK left 404y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404y = -860 strategic 1 OK divide 404 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:06:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 404y/404 = -860/404 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:07:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -860/404 right 1 OK right -2.1287 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:07:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+2y = -9+(-4y) strategic 1 OK subtract -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:07:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 1 ERROR clt 2y+9 = -4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:08:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 2 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:08:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 3 ERROR divide y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:08:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 4 ERROR multiply y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 5 ERROR clt 2y+9 = -4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 6 BUG divide 2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:24.0 HINT HINT ES_05 ES_05-5 EG60 2y+9 = -4y strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:25.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:29.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 2y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y+9 = -4y strategic 8 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -6y strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:09:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+(-1) = -7x+(-4) strategic 1 ERROR subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+(-1) = -7x+(-4) strategic 2 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = -10x-4 strategic 1 BUG subtract 4 Since -4 is negative, you should add to remove it from the right side. Erase your last step and add 4 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = -10x-4 strategic 2 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/10 = -(-10x-4)/10 strategic 1 ERROR rf 1/10 = -(-10x-4)/10 strategic condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/10 = -(-10x-4)/10 strategic 2 BUG multiply x You need to factor the common factor in the numerator so that you can simplify fractions. BUG condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:47.0 HINT HINT ES_05 ES_05-5 EG60 1/10 = -(-10x-4)/10 strategic 3 INITIAL_HINT condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:51.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE In -(-10x-4)/10, -[-10x-4] is divided by 10. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:10:55.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by 10. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/10 = -(-10x-4)/10 strategic 4 OK multiply 10 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -(-10x-4) strategic 1 ERROR clt 1 = -(-10x-4) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:28.0 HINT HINT ES_05 ES_05-5 EG60 1 = -(-10x-4) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:29.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE In the expression -[-10x-4], (-10x-4) is preceded by -1. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:32.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Distribute -1 over (-10x-4). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -(-10x-4) strategic 3 OK distribute -(-10x-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = 10x+4 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:11:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3 = 10x strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:13:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7+(-9y) = 9+(-8y) strategic 1 OK subtract -9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:13:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7 = 9+y strategic 1 OK subtract 9 condition 1 [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:13:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+2x = 9+(-5x) strategic 1 OK subtract -5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:13:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+7x = 9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:13:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x = 0 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:14:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+(-4) = -6+(-4x) strategic 1 OK subtract -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:14:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+(-4)-(-4x) = -6+(-4x)-(-4x) left 1 ERROR left 3x+(-4)-(-4) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:14:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+(-4)-(-4x) = -6+(-4x)-(-4x) left 2 OK left 3x+(-4)-(-4x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-4+4x = -6+(-4x)-(-4x) right 1 OK right -6+(-4x)-(-4x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x-4+4x = -6-4x+4x strategic 1 OK clt 3x-4+4x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:32.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 1 INITIAL_HINT In the group above, 3x and 4x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [3x]+[+4x] are 3 and 4. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms 3x and 4x results in 7x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 7x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:15:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 7x-4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4 = -6-4x+4x strategic 1 OK clt -6-4x+4x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG -6 -6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG  4x  4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  4x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 BUG +4x +4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +4x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 BUG -4x -4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 OK -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK -4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:25.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 3 INITIAL_HINT In the group above, -4x and 4x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:16:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4 = -6 strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4+4 = -6+4 right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4+4 = -2 left 1 BUG left 7x-8 7x-8 is equal to 7x-4 minus 4. You need to calculate 7x-4 plus 4. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4+4 = -2 left 2 OK left 7x-4+4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-4+4 = -2 strategic 1 OK clt 7x-4+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK 7x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 7 OK -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 7x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -2 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:17:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x/7 = -2/7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:18:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/7 right 1 OK right -.285 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:18:29.0 HINT HINT ES_05 ES_05-6 EG60 x = -0.28571429 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:18:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:18:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+(-5y) = 10+(-5y) strategic 1 OK subtract -5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:19:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+(-5y)-(-5y) = 10+(-5y)-(-5y) left 1 OK left 6+(-5y)-(-5y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:19:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6-5y+5y = 10+(-5y)-(-5y) right 1 OK right 10+(-5y)-(-5y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:19:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6-5y+5y = 10-5y+5y strategic 1 OK clt 6-5y+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = 10-5y+5y strategic 1 OK clt 10-5y+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 10 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:38.0 HINT HINT ES_05 ES_05-6 EG60 6 = 10 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Since 6 never equals 10, no value of y will make this equation true. 6+[-5y] is never equal to 10+[-5y]. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:20:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: No Solution'. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:21:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6x+(-5) = -5x+(-9) strategic 1 OK subtract -6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:21:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6x+(-5)-(-6x) = -5x+(-9)-(-6x) left 1 OK left -6x+(-5)-(-6x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6x-5+6x = -5x+(-9)-(-6x) right 1 OK right -5x+(-9)-(-6x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6x-5+6x = -5x-9+6x strategic 1 OK clt -6x-5+6x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG -6x -6x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -6x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -5x-9+6x strategic 1 OK clt -5x-9+6x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +6x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:49.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 1 INITIAL_HINT In the group above, -5x and 6x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-5x]+[+6x] are -5 and 6. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:22:54.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -5x and 6x results in x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK x-9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = x-9 strategic 1 BUG divide 9 You want to isolate x by removing -9 from the right side. 9 is subtracted from x. What is the opposite of subtraction? BUG condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:31.0 HINT HINT ES_05 ES_05-6 EG60 -5 = x-9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:32.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE -9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:23:39.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = x-9 strategic 3 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = x-9 strategic 4 OK add 9 condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+9 = x-9+9 left 1 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = x-9+9 right 1 BUG right x-18 x-18 is equal to x-9 minus 9. You need to calculate x-9 plus 9. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = x-9+9 right 2 OK right x-9+9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = x-9+9 strategic 1 OK clt x-9+9 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG x x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:24:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:25:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:25:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:26:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+10 = 6+5x strategic 1 ERROR add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:26:30.0 HINT HINT ES_05 ES_05-6 EG60 -3x+10 = 6+5x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:26:31.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -3x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:26:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+10 = 6+5x strategic 3 OK subtract -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:26:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+10-(-3x) = 6+5x-(-3x) left 1 OK left -3x+10-(-3x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+10+3x = 6+5x-(-3x) right 1 OK right 6+5x-(-3x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+10+3x = 6+5x+3x strategic 1 OK clt -3x+10+3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 10 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10 = 6+5x+3x strategic 1 OK clt 6+5x+3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:45.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 2 INITIAL_HINT 0 In the group above, 5x and 3x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [+5x]+[+3x] are 5 and 3. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms 5x and 3x results in 8x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK 8x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:27:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 8x+6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10 = 8x+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10-6 = 8x+6-6 left 1 OK left 10-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10-6 = 8x+6-6 right 1 OK right 8x+6-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10 = 8x+6 strategic 2 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10-6 = 8x+6-6 left 2 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+6-6 right 1 OK right 8x+6-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+6-6 strategic 1 OK clt 8x+6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK 8x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:28:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 8x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:29:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:29:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4/8 = 8x/8 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session31 2007-04-20 14:29:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4/8 = x left 1 OK left .5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:23:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y = 3y+(-1) strategic 1 OK subtract -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:05.0 HINT HINT ES_05 ES_05-6 EG60 6+6y-(-1) = 3y+(-1)-(-1) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 6+6y-(-1) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y-(-1) = 3y+(-1)-(-1) left 1 OK left 6+6y-(-1) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:28.0 HINT HINT ES_05 ES_05-6 EG60 6+6y+1 = 3y+(-1)-(-1) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 3y+(-1)-(-1) on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:24:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y+1 = 3y+(-1)-(-1) right 1 OK right 3y+(-1)-(-1) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y+1 = 3y-1+1 strategic 1 OK clt 6+6y+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 6y+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y-1+1 strategic 1 OK clt 3y-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK 3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:26:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK 3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 3y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 1 ERROR multiply y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 2 BUG add 7 Since 7 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 7 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 3 ERROR subtract 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:27:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 4 BUG subtract -7 To remove 7 from the both side, you can subtract a positive from it. Erase your last step and subtract 7 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 5 ERROR clt 6y+7 = 3y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7 = 3y strategic 6 OK subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = 3y-6y right 1 BUG right 3y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = 3y-6y right 2 OK right -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = -3y left 1 BUG left 6y+7+6y 6y+7+6y is equal to 6y+7 plus 6y. You need to calculate 6y+7 minus 6y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:43.0 HINT HINT ES_05 ES_05-6 EG60 6y+7-6y = -3y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:46.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 6y+7-6y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:28:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = -3y left 2 OK left 6y+7-6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = -3y strategic 2 OK clt 6y+7-6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK 6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG  6y  6y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  6y, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK +7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 3 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 BUG 7y 7y
Perhaps you should fill in all the y terms above. BUG condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 OK 0y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 0y+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:45.0 HINT HINT ES_05 ES_05-6 EG60 0y+7 = -3y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 2 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:29:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 BUG y y
Perhaps you should fill in all the constant factors above. BUG condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 0y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 3 BUG subtract 7 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:29.0 HINT HINT ES_05 ES_05-6 EG60 0y+7 = -3y strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 5 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 5 ERROR 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 2 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 6 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 2 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 5 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK 0y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:57.0 HINT HINT ES_05 ES_05-6 EG60 0y+7 = -3y strategic 6 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:30:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 7 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 3 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 7 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:07.0 HINT HINT ES_05 ES_05-6 EG60 constant factorsR2 strategic 3 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 4 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 6 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:14.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 8 INITIAL_HINT Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:31:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 OK 0y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 8 BUG multiply y Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+7-6y = -3y strategic 3 OK clt 6y+7-6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 8 OK 6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 4 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 ERROR 1y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 OK +7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 ERROR t condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 4 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 8 OK 0y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:32:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 OK 0y+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 9 ERROR clt 0y+7 = -3y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7 = -3y strategic 10 OK subtract 0y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:26.0 HINT HINT ES_05 ES_05-6 EG60 0y+7-0y = -3y-0y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in 0y+7-0y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7-0y = -3y-0y left 1 OK left 0y+7-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:46.0 HINT HINT ES_05 ES_05-6 EG60 0y+7-0y = -3y-0y strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Type in -3y-0y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:33:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7-0y = -3y-0y right 1 OK right -3y-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+7-0y = -3y-0y strategic 3 OK clt 0y+7-0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y1R1 strategic 1 OK 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 9 BUG  0y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 OK +7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 10 OK -0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:22.0 HINT HINT ES_05 ES_05-6 EG60 0yR2 strategic 1 INITIAL_HINT In the group above, you have [0y]. Type [0y] here. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 2 OK 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:29.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 9 INITIAL_HINT In the group above, you have [-0y]. Type [-0y] here. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 10 OK -0*y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 5 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:34:41.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 11 INITIAL_HINT Above, you have [0y]+[-0*y]+[7]. Enter 7 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 12 OK 0y+(-0*y)+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-0y+7 = -3y-0y strategic 1 OK clt -3y-0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 11 OK -3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y1R1 strategic 2 OK -0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:18.0 HINT HINT ES_05 ES_05-6 EG60 0yR2 strategic 3 INITIAL_HINT In the group above, you have [-0y]. Type [-0y] here. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 4 OK -0*y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 11 OK -3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 13 OK -0*y+-3y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-0y+7 = -0y-3y strategic 1 OK unnec-elems 0y-0y+7=-0y-3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:35:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-0y+7 = 0y-3y strategic 1 BUG add 7 Since 7 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 7 from both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:36:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-0y+7 = 0y-3y strategic 2 OK clt 0y-0y+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:36:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y = 3y+(-1) strategic 2 OK add 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:36:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6+6y+1 = 3y+(-1)+1 left 1 OK left 7+6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:36:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+6y = 3y+(-1)+1 right 1 OK right 3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+6y = 3y strategic 1 OK subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+6y-6y = 3y-6y left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = 3y-6y right 1 OK right -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7/-3 = -3y/-3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:37:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7/-3 = y left 1 OK left -2.333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:38:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+7x = -2x+(-2) strategic 1 OK subtract -8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:40:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+7x-(-8) = -2x+(-2)-(-8) left 1 OK left 7x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:40:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -2x+(-2)-(-8) right 1 OK right -2x+6 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:41:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -2x+6 strategic 1 OK subtract -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:41:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-(-2x) = -2x+6-(-2x) left 1 BUG left 7x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:41:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-(-2x) = -2x+6-(-2x) left 2 OK left 7x-(-2x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:41:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x+2x = -2x+6-(-2x) right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x+2x = 6 strategic 1 BUG subtract 2x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x+2x = 6 strategic 2 OK clt 7x+2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 3x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = 6 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x/9 = 6/9 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/9 right 1 ERROR right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:42:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/9 right 2 OK right .666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:43:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1 = 5x+(-1) strategic 1 OK add 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:43:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x+(-1)+1 left 1 BUG left -3x -3x is equal to -3x+1 minus 1. You need to calculate -3x+1 plus 1. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:43:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x+(-1)+1 left 2 BUG left -3x+1 You haven't performed any operations. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:43:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x+(-1)+1 left 3 OK left -3x+1+1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x+(-1)+1 right 1 ERROR right 6x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x+(-1)+1 right 2 OK right 5x+(-1)+1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+1+1 = 5x-1+1 strategic 1 OK clt -3x+1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -3x+2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+2 = 5x-1+1 strategic 1 OK clt 5x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK 5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:44:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:45:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:45:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 5x+0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:45:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+2 = 5x+0 strategic 1 OK unnec-elems -3x+2=5x+0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:45:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+2 = 5x strategic 1 OK subtract -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:06.0 HINT HINT ES_05 ES_05-6 EG60 -3x+2-(-3x) = 5x-(-3x) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:07.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -3x+2-(-3x) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+2-(-3x) = 5x-(-3x) left 1 OK left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 5x-(-3x) right 1 OK right 8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 8x strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2/8 = 8x/8 left 1 OK left .25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:46:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0.25 = 8x/8 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 1 OK subtract 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0-0 = 10x+1-0 left 1 OK left 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1-0 right 1 ERROR right 11 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1-0 right 2 ERROR right 11x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1-0 right 3 OK right 10x+1-0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1-0 strategic 1 OK unnec-elems 10x=10x+1-0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 1 ERROR clt 10x = 10x+1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:47:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 2 ERROR subtract 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:03.0 HINT HINT ES_05 ES_05-6 EG60 10x = 10x+1 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 10x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 10x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 4 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x left 1 ERROR left x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:29.0 HINT HINT ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 10x-10x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x right 1 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 1 left 1 OK left 10x-10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 1 strategic 1 OK clt 10x-10x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:48:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 0x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:21.0 HINT HINT ES_05 ES_05-6 EG60 0x = 1 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = 1 strategic 2 OK mt 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK x condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 0*x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:49:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = 1 strategic 3 ERROR distribute 0x = 1 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 2 BUG add 1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 3 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0-1 = 10x+1-1 right 1 OK right 10x+1-1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0-1 = 10x+1-1 left 1 OK left 10x+0-1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0-1 = 10x+1-1 strategic 1 OK unnec-elems 10x+0-1=10x+1-1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-1 = 10x+1-1 strategic 1 OK clt 10x+1-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:50:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 10x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-1 = 10x strategic 1 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-1 = 10x strategic 2 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-1-10x = 10x-10x left 1 BUG left 1 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-1-10x = 10x-10x left 2 OK left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 10x-10x right 1 OK right 0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:47.0 HINT HINT ES_05 ES_05-6 EG60 -1 = 0x strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:49.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 0x strategic 2 OK mt 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 2 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:51:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 0*x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:05.0 HINT HINT ES_05 ES_05-6 EG60 -1 = 0x strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 0x strategic 4 BUG add 1 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 0x strategic 5 BUG multiply 1 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 0x strategic 6 BUG multiply x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 4 BUG subtract 10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:53.0 HINT HINT ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:54.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:52:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 6 OK clt 10x+0 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 10x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 5 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x left 2 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x+1-10x right 1 OK right 10x+1-10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x+1-10x strategic 1 OK clt 10x+1-10x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK -10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 BUG 10 10
Perhaps you should fill in all the x terms above. BUG condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 0x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK 0x+1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:53:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 0x+1 strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:04.0 HINT HINT ES_05 ES_05-6 EG60 0 = 0x+1 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 0x+1 strategic 3 OK mt 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 3 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK 0*x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 0x+1 strategic 4 BUG subtract 0x Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 6 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x left 3 OK left 0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = 10x+1-10x right 1 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:57.0 HINT HINT ES_05 ES_05-6 EG60 0x = 1 strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:54:58.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0x = 1 strategic 5 OK mt 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:05.0 HINT HINT ES_05 ES_05-6 EG60 constant factors1R1 strategic 4 INITIAL_HINT This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE A numeric coefficient is a number. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE For example, drag 0 here. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 5 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:18.0 HINT HINT ES_05 ES_05-6 EG60 constant factorsR2 strategic 2 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 3 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK x condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:27.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 9 INITIAL_HINT Above, you have [0]*[x]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:55:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 OK 0x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x+0 = 10x+1 strategic 7 OK clt 10x+0 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 8 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK +0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 10x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK 10x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = 10x+1 strategic 7 OK subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x left 4 ERROR left x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-10x = 10x+1-10x left 5 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:56:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x+1-10x right 2 ERROR right 1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 13:57:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x+1-10x right 3 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+(-5) = 3x+(-3) strategic 1 ERROR clt -2x+(-5) = 3x+(-3) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:12.0 HINT HINT ES_05 ES_05-6 EG60 -2x+(-5) = 3x+(-3) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+(-5) = 3x+(-3) strategic 3 OK rds -2x+(-5) = 3x+(-3) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5 = 3x-3 strategic 1 ERROR clt -2x-5 = 3x-3 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:31.0 HINT HINT ES_05 ES_05-6 EG60 -2x-5 = 3x-3 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:32.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 3x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:36.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 3x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:00:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5 = 3x-3 strategic 3 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:03:08.0 HINT HINT ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:03:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in -2x-5-3x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:04:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x left 1 ERROR left -10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:04:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x left 2 OK left -2x-5-3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x right 1 ERROR right -3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x right 2 OK right 3x-3-3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x-5-3x = 3x-3-3x strategic 2 OK clt -2x-5-3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG  2x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -2x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:05:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  5 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR - condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:10.0 HINT HINT ES_05 ES_05-6 EG60 xR2 strategic 2 INITIAL_HINT - In the group above, -2x and -3x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [-2x]+[-3x] are -2 and -3. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:15.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms -2x and -3x results in -5x HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK -5x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -5x+-5x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -5x+-5. condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -5x+-5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-5 = 3x-3-3x strategic 1 OK clt 3x-3-3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK 3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK -3x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:06:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG  3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:07:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:07:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:07:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 0x-3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:10:53.0 HINT HINT ES_05 ES_05-6 EG60 -5x-5 = 0x-3 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:10:54.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:10:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-5 = 0x-3 strategic 2 OK mt 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-5 = 0x-3 strategic 3 OK subtract -5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-5-(-5x) = 0x-3-(-5x) left 1 BUG left 5 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-5-(-5x) = 0x-3-(-5x) left 2 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = 0x-3-(-5x) right 1 ERROR right 2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:56.0 HINT HINT ES_05 ES_05-6 EG60 -5 = 0x-3-(-5x) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:11:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Type in 0x-3-(-5x) on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = 0x-3-(-5x) right 2 OK right 0x-3-(-5x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = 0x-3+5x strategic 1 OK clt 0x-3+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK 0x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 3 OK +5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 5x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:16:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 5x-3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:06.0 HINT HINT ES_05 ES_05-6 EG60 -5 = 5x-3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:07.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE -3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = 5x-3 strategic 2 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+3 = 5x-3+3 left 1 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 5x-3+3 right 1 OK right 5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 5x strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:17:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/5 = 5x/5 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:18:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/5 = x left 1 OK left -.4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:19:11.0 HINT HINT ES_05 ES_05-6 EG60 7+(-6y) = -5+4y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:19:14.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:19:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y) = -5+4y strategic 2 OK rds 7+(-6y) = -5+4y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:19:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y = -5+4y strategic 1 ERROR clt 7-6y = -5+4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:19:59.0 HINT HINT ES_05 ES_05-6 EG60 7-6y = -5+4y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:20:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:20:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 4y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:20:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y = -5+4y strategic 3 ERROR subtract -4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:20:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y = -5+4y strategic 4 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:20:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y-4y = -5+4y-4y left 1 ERROR left -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y-4y = -5+4y-4y left 2 OK left 7-6y-4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y-4y = -5+4y-4y right 1 OK right -5+0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y-4y = -5+0y strategic 1 OK clt 7-6y-4y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:21:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 ERROR -2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:22:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -10y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:22:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:22:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -10y+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:23:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7 = -5+0y strategic 1 ERROR clt -10y+7 = -5+0y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:26:01.0 HINT HINT ES_05 ES_05-6 EG60 -10y+7 = -5+0y strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:26:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:26:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7 = -5+0y strategic 3 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session32 2007-04-25 14:26:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7 = -5+0y strategic 4 OK subtract 0y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:03:46.0 HINT HINT ES_05 ES_05-6 EG60 -10y+7-0y = -5+0y-0y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:03:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -10y+7-0y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:03:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y = -5+0y-0y left 1 OK left -10y+7-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:04:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y = -5+0y-0y right 1 OK right -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:04:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y = -5 strategic 1 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:04:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y-7 = -5-7 right 1 OK right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:05:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y-7 = -12 left 1 BUG left -10-0y You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:05:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+7-0y-7 = -12 left 2 OK left -10y-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:05:50.0 HINT HINT ES_05 ES_05-6 EG60 -10y-0y = -12 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:05:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:05:59.0 HINT HINT ES_05 ES_05-6 EG60 -10y-0y = -12 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:06:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:06:04.0 HINT HINT ES_05 ES_05-6 EG60 -10y-0y = -12 strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:06:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:06:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-0y = -12 strategic 4 BUG multiply y Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:06:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y) = -5+4y strategic 1 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y)-(-5) = -5+4y-(-5) right 1 OK right 4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y)-(-5) = 4y left 1 ERROR left 7+6y--5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y)-(-5) = 4y left 2 ERROR left 7+6y-(-5) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y)-(-5) = 4y left 3 ERROR left 7+(6y)-(-5) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+(-6y)-(-5) = 4y left 4 OK left 7+(-6y)-(-5) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7-6y+5 = 4y strategic 1 OK clt 7-6y+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:07:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:06.0 HINT HINT ES_05 ES_05-6 EG60 constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [7]+[+5]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Adding [7]+[+5] yields 12. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -6y+12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+12 = 4y strategic 1 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+12-4y = 4y-4y right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:48.0 HINT HINT ES_05 ES_05-6 EG60 -6y+12-4y = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:08:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in -6y+12-4y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+12-4y = 0 left 1 OK left -6y+12-4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y+12-4y = 0 strategic 2 OK clt -6y+12-4y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -6y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG +12 +12
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +12, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK -4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:20.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 2 INITIAL_HINT In the group above, -6y and -4y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE The coefficients in [-6y]+[-4y] are -6 and -4. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:25.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Combining the like terms -6y and -4y results in -10y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 ERROR 10y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 OK -10y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 12 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -10y+12 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+12 = 0 strategic 1 ERROR clt -10y+12 = 0 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:09:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+12 = 0 strategic 2 OK subtract 12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+12-12 = 0-12 left 1 OK left -10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 0-12 right 1 BUG right 12 12 is equal to 0 plus 12. You need to calculate 0 minus 12. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 0-12 right 2 OK right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = -12 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y/-10 = -12/-10 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:10:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/-10 right 1 ERROR right 2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:11:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12/-10 right 2 OK right 1.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:11:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0 = -4+5y strategic 1 OK subtract -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:11:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0-(-4) = -4+5y-(-4) right 1 OK right 5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:11:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0-(-4) = 5y left 1 OK left 1y+0-(-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:11:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0+4 = 5y strategic 1 OK unnec-elems 1y+0+4=5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:00.0 HINT HINT ES_05 ES_05-6 EG60 y+4 = 5y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 5y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+4 = 5y strategic 2 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+4-5y = 5y-5y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:23.0 HINT HINT ES_05 ES_05-6 EG60 y+4-5y = 5y-5y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:24.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in y+4-5y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:31.0 HINT HINT ES_05 ES_05-6 EG60 y+4-5y = 5y-5y strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:32.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in y+4-5y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+4-5y = 5y-5y left 1 OK left y+4-5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+4-5y = 5y-5y right 2 OK right 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+4-5y = 0y strategic 1 OK clt y+4-5y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:12:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:05.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 1 INITIAL_HINT In the group above, y and -5y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:07.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [y]+[-5y] are 1 and -5. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:11.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Combining the like terms y and -5y results in -4y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -4y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -4y+4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+4 = 0y strategic 1 OK subtract 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+4-4 = 0y-4 left 1 OK left -4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 right 1 ERROR right -4y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:48.0 HINT HINT ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:13:49.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in 0y-4 on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 right 2 OK right 0y-4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 2 BUG add 4 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 3 ERROR clt -4y = 0y-4 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:28.0 HINT HINT ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 5 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:14:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 0y-4 strategic 6 BUG subtract 4 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+4 = 0y strategic 2 ERROR clt -4y+4 = 0y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0 = -4+5y strategic 2 OK subtract 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+0-0 = -4+5y-0 left 1 OK left 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = -4+5y-0 right 1 OK right -4+5y-0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = -4+5y-0 strategic 1 OK unnec-elems 1y=-4+5y-0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:15:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4+5y strategic 1 ERROR subtract 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4+5y strategic 2 ERROR clt y = -4+5y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4+5y strategic 3 ERROR subtract -4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4+5y strategic 4 ERROR mt y = -4+5y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:27.0 HINT HINT ES_05 ES_05-6 EG60 y = -4+5y strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Move 5y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4+5y strategic 6 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-5y = -4+5y-5y right 1 OK right -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-5y = -4 left 1 ERROR left 5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-5y = -4 left 2 OK left y-5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:16:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-5y = -4 strategic 1 BUG divide 5 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:04.0 HINT HINT ES_05 ES_05-6 EG60 y-5y = -4 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-5y = -4 strategic 3 OK clt y-5y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -5y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:22.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT y In the group above, y and -5y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:23.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE The coefficients in [y]+[-5y] are 1 and -5. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR -5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:31.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 6 INITIAL_HINT -5 The coefficients in [y]+[-5y] are 1 and -5. HINT 2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE Combining the like terms y and -5y results in -4y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK -4y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = -4 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y/-4 = -4/-4 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4/-4 right 1 ERROR right -8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:17:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4/-4 right 2 ERROR right -16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -4/-4 right 3 OK right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x = 9x+(-5) strategic 1 OK subtract 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-10 = 9x+(-5)-10 left 1 OK left 4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x+(-5)-10 right 1 OK right 9x+(-5)-10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-5-10 strategic 1 BUG subtract 10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:18:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-5-10 strategic 2 BUG subtract 5 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-5-10 strategic 3 OK clt 9x-5-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -5 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -15 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 9x+-15 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-15 strategic 1 ERROR clt 4x = 9x-15 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-15 strategic 2 ERROR distribute 4x = 9x-15 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-15 strategic 3 ERROR mt 4x = 9x-15 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:58.0 HINT HINT ES_05 ES_05-6 EG60 4x = 9x-15 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:19:59.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 9x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9x-15 strategic 5 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9x = 9x-15-9x right 1 OK right -15 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9x = -15 left 1 OK left 4x-9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9x = -15 strategic 1 BUG add 4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:50.0 HINT HINT ES_05 ES_05-6 EG60 4x-9x = -15 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:20:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9x = -15 strategic 3 OK clt 4x-9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 4x-9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9x = -15 strategic 4 OK clt 4x-9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:11.0 HINT HINT ES_05 ES_05-6 EG60 4x-9x = -15 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x = 9x+(-5) strategic 2 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-(-5) = 9x+(-5)-(-5) right 1 OK right 9x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:21:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-(-5) = 9x left 1 OK left 10+4x-(-5) condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x+5 = 9x strategic 1 OK clt 10+4x+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +5 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 15 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 4x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 4x+15 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:22:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+15 = 9x strategic 1 ERROR subtract 15 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+15 = 9x strategic 2 ERROR clt 4x+15 = 9x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:07.0 HINT HINT ES_05 ES_05-6 EG60 4x+15 = 9x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 4x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+15 = 9x strategic 4 ERROR subtract 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+15 = 9x strategic 5 OK subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:31.0 HINT HINT ES_05 ES_05-6 EG60 4x+15-4x = 9x-4x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in 4x+15-4x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+15-4x = 9x-4x left 1 OK left 15 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x right 1 OK right 9x-4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 1 OK clt 9x-4x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:23:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR 9x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR 4x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 9x-4x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 2 BUG divide 9x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 3 ERROR distribute 15 = 9x-4x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:27.0 HINT HINT ES_05 ES_05-6 EG60 15 = 9x-4x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 5 ERROR mt 15 = 9x-4x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:24:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 6 BUG multiply x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:25:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15 = 9x-4x strategic 7 BUG subtract 4x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:25:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x = 9x+(-5) strategic 3 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:25:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-9x = 9x+(-5)-9x right 1 OK right -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:25:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-9x = -5 left 1 OK left 10+4x-9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x = 9x+(-5) strategic 4 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-9x = 9x+(-5)-9x right 2 OK right -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:14.0 HINT HINT ES_05 ES_05-6 EG60 10+4x-9x = -5 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:14.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in 10+4x-9x on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-9x = -5 left 2 ERROR left 5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:31:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-9x = -5 left 3 OK left 10+-5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+(-5x) = -5 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+(-5x)-10 = -5-10 left 1 OK left -5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -5-10 right 1 BUG right -5 -5 is equal to 5 minus 10. You need to calculate -5 minus 10. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -5-10 right 2 BUG right 5 5 is equal to -5 plus 10. You need to calculate -5 minus 10. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -5-10 right 3 OK right -15 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -15 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x/-5 = -15/-5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:32:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -15/-5 right 1 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:33:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+(-5x) = 0+(-9x) strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:33:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+(-5x)-2 = 0+(-9x)-2 left 1 OK left -5x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:33:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = 0+(-9x)-2 right 1 OK right -9x-2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:33:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -9x-2 strategic 1 ERROR clt -5x = -9x-2 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -9x-2 strategic 2 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-(-9x) = -9x-2-(-9x) right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-(-9x) = -2 left 1 OK left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = -2 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x/4 = -2/4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:34:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/4 right 1 OK right -.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:38:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-6) = 3+(-1x) strategic 1 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:38:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-6)-(-9x) = 3+(-1x)-(-9x) left 1 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-6) = 3+(-1x) strategic 2 OK subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-6)-3 = 3+(-1x)-3 right 1 OK right -1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-6)-3 = -1x left 1 OK left -9x+-9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 1 BUG subtract -9 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 2 ERROR distribute -9x+(-9) = -1x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:39:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 3 ERROR clt -9x+(-9) = -1x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:00.0 HINT HINT ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 5 OK rds -9x+(-9) = -1x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:16.0 HINT HINT ES_05 ES_05-6 EG60 -9x-9 = -1x strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:17.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x-9 = -1x strategic 2 OK mt -1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK -1 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -1x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -1x strategic 6 OK mt -1x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:40:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -1x condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -x strategic 1 ERROR subtract -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9) = -x strategic 2 OK subtract -9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9x+(-9)-(-9x) = -x-(-9x) left 1 OK left -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = -x-(-9x) right 1 OK right 8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 8x strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/8 = 8x/8 left 1 OK left -1.125 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:41:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1.125 = 8x/8 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:42:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x+0.03 = -4.51x+5.46 strategic 1 OK subtract 0.03 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:42:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 1 ERROR subtract 5.43 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:42:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 2 ERROR subtract -4.51 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 3 ERROR clt 6.94x = -4.51x+5.43 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:04.0 HINT HINT ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:05.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -4.51x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 5 ERROR subtract -4.51 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:19.0 HINT HINT ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:20.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Move -4.51x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:24.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Subtract -4.51x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -4.51x+5.43 strategic 7 OK subtract -4.51x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:43:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.45x = 5.43 strategic 1 OK divide 11.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.38+6.63y = -2.15y+(-8.05) strategic 1 OK subtract -3.38 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.63y = -2.15y-4.67 strategic 1 OK subtract -2.15y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.78y = -4.67 strategic 1 ERROR divide 8.75 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.78y = -4.67 strategic 2 OK divide 8.78 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.38+6.51x = -3+(-9.89x) strategic 1 OK subtract -4.38 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:44:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.51x = 1.38-9.89x strategic 1 ERROR subtract -9.89 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.51x = 1.38-9.89x strategic 2 ERROR subtract 9.98 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.51x = 1.38-9.89x strategic 3 ERROR subtract 9.89 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.51x = 1.38-9.89x strategic 4 ERROR subtract 1.38 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.38+6.51x = -3+(-9.89x) strategic 2 OK subtract -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.38+6.51x = -9.89x strategic 1 OK subtract 6.51x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.38 = -16.4x strategic 1 OK divide -16.4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:45:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.59+(-7.67x) = 2.71+(-9.98x) strategic 1 OK subtract -6.59 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.59+(-7.67x) = 2.71+(-9.98x) strategic 2 OK subtract 2.71 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.3-7.67x = -9.98x strategic 1 ERROR subtract 7.67 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.3-7.67x = -9.98x strategic 2 ERROR subtract 7.67 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.3-7.67x = -9.98x strategic 3 ERROR subtract -7.67 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.59+(-7.67x) = 2.71+(-9.98x) strategic 3 OK subtract -6.59 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.67x = 9.3-9.98x strategic 1 ERROR subtract -9.98 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:52.0 HINT HINT ES_05 ES_05-7 EG61 -7.67x = 9.3-9.98x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:53.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -9.98x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:46:57.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract -9.98x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:47:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.67x = 9.3-9.98x strategic 3 OK subtract -9.98x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:47:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.31x = 9.3 strategic 1 OK divide 2.31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:47:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.62x+6.09 = -2.56+0.26x strategic 1 ERROR subtract 9.62 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:47:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.62x+6.09 = -2.56+0.26x strategic 2 OK subtract 6.09 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:47:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.62x = -8.65+0.26x strategic 1 OK subtract .26x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.36x = -8.65 strategic 1 ERROR divide x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.36x = -8.65 strategic 2 OK divide 9.36 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.48y+(-1.44) = -2.46+3.17y strategic 1 OK subtract -1.44 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.48y = -1.02+3.17y strategic 1 ERROR subtract 3.17x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.48y = -1.02+3.17y strategic 2 OK subtract 3.17y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.65y = -1.02 strategic 1 OK divide -6.65 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:48:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.06y+1.82 = -8.15+9.42y strategic 1 OK subtract 1.82 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.06y = -9.97+9.42y strategic 1 OK subtract 9.42y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -13.48y = -9.97 strategic 1 OK divide -13.48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.37x+(-0.17) = -4.38x+9.63 strategic 1 OK subtract -0.17 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.37x = -4.38x+9.8 strategic 1 OK subtract -4.38x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.99x = 9.8 strategic 1 OK divide -3.99 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:49:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.69x+(-4.35) = -7.21x+5.4 strategic 1 OK subtract -4.35 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:50:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.69x = -7.21x+9.75 strategic 1 OK subtract -7.21x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:50:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.52x = 9.75 strategic 1 OK divide 2.52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:50:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y+6.41 = -1.06+(-2.3y) strategic 1 OK subtract 6.41 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:50:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y+6.41-6.41 = -1.06+(-2.3y)-6.41 left 1 OK left 4.13y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:51:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y = -1.06+(-2.3y)-6.41 right 1 OK right -7.47+-2.3y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:51:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y = -7.47+(-2.3y) strategic 1 OK subtract -2.3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:53:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y-(-2.3y) = -7.47+(-2.3y)-(-2.3y) left 1 ERROR left 6.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:53:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.13y-(-2.3y) = -7.47+(-2.3y)-(-2.3y) left 2 OK left 6.43y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:54:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.43y = -7.47+(-2.3y)-(-2.3y) right 1 OK right -7.47 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:58:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.43y = -7.47 strategic 1 OK divide 6.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:58:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.43y/6.43 = -7.47/6.43 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:59:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -7.47/6.43 right 1 ERROR right -12.04 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:59:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -7.47/6.43 right 2 ERROR right -12.05 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 12:59:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -7.47/6.43 right 3 OK right -1.16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:00:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x) = -8.07+(-5.34x) strategic 1 OK subtract -8.77 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:00:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x)-(-8.77) = -8.07+(-5.34x)-(-8.77) left 1 OK left -1.43x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:01:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.43x = -8.07+(-5.34x)-(-8.77) right 1 ERROR right -16.84 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:01:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.43x = -8.07+(-5.34x)-(-8.77) right 2 BUG right -16.84+-5.34x -16.84+[-5.34x] is equal to -8.07+[-5.34x] plus -8.77. You need to calculate -8.07+[-5.34x] minus -8.77. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:02:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.43x = -8.07+(-5.34x)-(-8.77) right 3 ERROR right -5.34x--16.84 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:02:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.43x = -8.07+(-5.34x)-(-8.77) right 4 BUG right -5.34x+-16.84 -5.34x+[-16.84] is equal to -8.07+[-5.34x] plus -8.77. You need to calculate -8.07+[-5.34x] minus -8.77. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:03:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x) = -8.07+(-5.34x) strategic 2 OK subtract -8.07 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:03:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x)-(-8.07) = -8.07+(-5.34x)-(-8.07) right 1 OK right -5.34x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:04:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x)-(-8.07) = -5.34x left 1 BUG left -16.84+-1.43x -16.84+[-1.43x] is equal to -8.77+[-1.43x] plus -8.07. You need to calculate -8.77+[-1.43x] minus -8.07. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:05:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.77+(-1.43x)-(-8.07) = -5.34x left 2 OK left -.7+-1.43x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:06:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7+(-1.43x) = -5.34x strategic 1 OK subtract -1.43x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:06:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7+(-1.43x)-(-1.43x) = -5.34x-(-1.43x) left 1 OK left -0.7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:06:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7 = -5.34x-(-1.43x) right 1 ERROR right -532.57x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:06:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7 = -5.34x-(-1.43x) right 2 OK right -3.91x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:08:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7 = -3.91x strategic 1 OK divide -3.91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:08:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7/-3.91 = -3.91x/-3.91 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:08:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.7/-3.91 = x left 1 OK left 0.18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:09:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x+(-5.18) = -7.76x+5.16 strategic 1 OK subtract -5.18 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:09:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x+(-5.18)-(-5.18) = -7.76x+5.16-(-5.18) left 1 OK left 6.57x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:10:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+5.16-(-5.18) right 1 ERROR right -7.76+10.34 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:10:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+5.16-(-5.18) right 2 ERROR right -7.76+-10.34 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:11:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+5.16-(-5.18) right 3 ERROR right -7.76+-0.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:11:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+5.16-(-5.18) right 4 BUG right -7.76x+-0.02 -7.76x+[-0.02] is equal to -7.76x+5.16 plus -5.18. You need to calculate -7.76x+5.16 minus -5.18. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:12:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+5.16-(-5.18) right 5 OK right -7.76x+10.34 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:12:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x = -7.76x+10.34 strategic 1 OK subtract -7.76x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:12:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.57x-(-7.76x) = -7.76x+10.34-(-7.76x) left 1 OK left 14.33x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:13:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 14.33x = -7.76x+10.34-(-7.76x) right 1 OK right 10.34 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:13:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 14.33x = 10.34 strategic 1 OK divide 14.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:13:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 14.33x/14.33 = 10.34/14.33 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session33 2007-05-09 13:13:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 10.34/14.33 right 1 OK right .7215 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:28:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y+9.8 = 4.25+(-8.65y) strategic 1 OK subtract 9.8 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:28:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y+9.8-9.8 = 4.25+(-8.65y)-9.8 left 1 OK left -9.27y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:29:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = 4.25+(-8.65y)-9.8 right 1 ERROR right -1.65y-14.05 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:29:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = 4.25+(-8.65y)-9.8 right 2 ERROR right -1.65y+14.05 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:29:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = 4.25+(-8.65y)-9.8 right 3 BUG right -8.65y+14.05 -8.65y+14.05 is equal to 4.25+[-8.65y] plus 9.8. You need to calculate 4.25+[-8.65y] minus 9.8. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:29:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = 4.25+(-8.65y)-9.8 right 4 BUG right 14.05+-8.65y 14.05+[-8.65y] is equal to 4.25+[-8.65y] plus 9.8. You need to calculate 4.25+[-8.65y] minus 9.8. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:30:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = 4.25+(-8.65y)-9.8 right 5 OK right -5.55+-8.65y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:30:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y = -5.55+(-8.65y) strategic 1 OK subtract -8.65y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:31:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y-(-8.65y) = -5.55+(-8.65y)-(-8.65y) left 1 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:31:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y-(-8.65y) = -5.55+(-8.65y)-(-8.65y) right 1 OK right -5.55 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:32:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y-(-8.65y) = -5.55 left 1 BUG left -17.92y -17.92y is equal to -9.27y plus -8.65y. You need to calculate -9.27y minus -8.65y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:32:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y-(-8.65y) = -5.55 left 2 BUG left .62y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:32:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.27y-(-8.65y) = -5.55 left 3 OK left -.62y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:32:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.62y = -5.55 strategic 1 OK divide -.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:32:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.62y/-0.62 = -5.55/-0.62 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:33:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -5.55/-0.62 right 1 OK right 8.9516 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:33:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4+(-2.5y) strategic 1 OK subtract 7.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:33:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4-7.4 = 7.4+(-2.5y)-7.4 right 1 BUG right -2.5 You forgot the y. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:33:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4-7.4 = 7.4+(-2.5y)-7.4 right 2 OK right -2.5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:33:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4-7.4 = -2.5y left 1 OK left -4.7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 1 OK subtract -2.5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = -2.5y-(-2.5y) right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = -2.5y-(-2.5y) right 2 OK right 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = 0y left 1 ERROR left 2.2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = 0y left 2 BUG left 2.2y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:34:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = 0y left 3 OK left -2.2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:35:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.2y = 0y strategic 1 OK subtract -2.2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:35:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.2y-(-2.2y) = 0y-(-2.2y) left 1 OK left 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:35:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 2 OK subtract -4.7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:35:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-4.7y) = -2.5y-(-4.7y) left 1 OK left 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = -2.5y-(-4.7y) right 1 ERROR right 2.2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = -2.5y-(-4.7y) right 2 ERROR right -2.2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = -2.5y-(-4.7y) right 3 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = -2.5y-(-4.7y) right 4 BUG right -2.2y The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = -2.5y-(-4.7y) right 5 OK right 2.2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:53.0 HINT HINT ES_05 ES_05-8 EG61 0y = 2.2y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:54.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:36:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y = 2.2y strategic 2 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 1 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 0*y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:23.0 HINT HINT ES_05 ES_05-8 EG61 0y = 2.2y strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:24.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4+(-2.5y) strategic 2 OK subtract 7.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4-7.4 = 7.4+(-2.5y)-7.4 left 1 OK left -4.7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:37:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = 7.4+(-2.5y)-7.4 right 1 OK right -2.5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:38:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 3 ERROR rds -4.7y = -2.5y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 4 OK subtract -2.5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = -2.5y-(-2.5y) right 3 OK right 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y-(-2.5y) = 0y left 4 OK left -2.2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.2y = 0y strategic 2 ERROR rds -2.2y = 0y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:40.0 HINT HINT ES_05 ES_05-8 EG61 -2.2y = 0y strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:41.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.2y = 0y strategic 4 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 2 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 2 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:39:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:40:00.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 2 INITIAL_HINT Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:40:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK 0y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:40:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.2y = 0y strategic 5 BUG multiply y Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 5 ERROR clt -4.7y = -2.5y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:24.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:25.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Move 2.5y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:29.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 5 HINT_LEVEL_CHANGE Add 2.5y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 7 ERROR add -2.7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:41:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 8 ERROR add -2.7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 9 ERROR add -2.5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:20.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y = -2.5y strategic 10 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:27.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4+(-2.5y) strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:35.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4+(-2.5y) strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:36.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 6 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4+(-2.5y) strategic 5 OK rds -4.7y+7.4 = 7.4+(-2.5y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:46.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4-2.5y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:48.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 7 HINT_LEVEL_CHANGE Move -4.7y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:42:51.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 8 HINT_LEVEL_CHANGE Add 4.7y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4 = 7.4-2.5y strategic 2 OK add 4.7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:03.0 HINT HINT ES_05 ES_05-8 EG61 -4.7y+7.4+4.7y = 7.4-2.5y+4.7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:06.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 9 HINT_LEVEL_CHANGE Type in -4.7y+7.4+4.7y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.7y+7.4+4.7y = 7.4-2.5y+4.7y left 1 OK left 7.4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y right 1 BUG right 7.4-7.2y 7.4-7.2y is equal to 7.4-2.5y minus 4.7y. You need to calculate 7.4-2.5y plus 4.7y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y right 2 ERROR right 7.4+7.2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:53.0 HINT HINT ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:43:55.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 10 HINT_LEVEL_CHANGE Type in 7.4-2.5y+4.7y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y right 3 OK right 7.4-2.5y+4.7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:16.0 HINT HINT ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:17.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 11 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 7.4-2.5y+4.7y strategic 3 OK clt 7.4-2.5y+4.7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 7.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 3 OK -2.5y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 OK +4.7y condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 3 OK 2.2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:44:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 ERROR 74 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK 7.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 OK 2.2y+7.4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 2.2y+7.4 strategic 1 ERROR clt 7.4 = 2.2y+7.4 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:18.0 HINT HINT ES_05 ES_05-8 EG61 7.4 = 2.2y+7.4 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:19.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 12 HINT_LEVEL_CHANGE 7.4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7.4 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:22.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 13 HINT_LEVEL_CHANGE You can subtract 7.4 from both sides of the equation to eliminate the constant value of 7.4 (7.4 - 7.4 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4 = 2.2y+7.4 strategic 3 OK subtract 7.4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.4-7.4 = 2.2y+7.4-7.4 left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0 = 2.2y+7.4-7.4 right 1 OK right 2.2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:45:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0 = 2.2y strategic 1 OK divide 2.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:46:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0/2.2 = 2.2y/2.2 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:46:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0/2.2 = y left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:53:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x+4.87 = -7.99+(-9.92x) strategic 1 ERROR clt 4.12x+4.87 = -7.99+(-9.92x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:53:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x+4.87 = -7.99+(-9.92x) strategic 2 OK rds 4.12x+4.87 = -7.99+(-9.92x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:54:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x+4.87 = -7.99-9.92x strategic 1 OK subtract 4.87 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:54:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x+4.87-4.87 = -7.99-9.92x-4.87 left 1 BUG left 4.12 You forgot the x. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:54:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x+4.87-4.87 = -7.99-9.92x-4.87 left 2 OK left 4.12x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:56:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x = -7.99-9.92x-4.87 right 1 BUG right -3.12-9.92x -3.12-9.92x is equal to -7.99-9.92x plus 4.87. You need to calculate -7.99-9.92x minus 4.87. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:57:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x = -7.99-9.92x-4.87 right 2 ERROR right -22.78x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:57:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x = -7.99-9.92x-4.87 right 3 ERROR right -22.78 condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:57:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x = -7.99-9.92x-4.87 right 4 ERROR right -22.78x condition 1 cwctc 247w34xrp1--Period 8--algebra I 8EWewH7 session34 2007-05-09 13:58:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.12x = -7.99-9.92x-4.87 right 5 ERROR right 12.86-9.92x condition 1 cwctc 247w34xrp1--Period 8--algebra I 9SHYrfx session0 2007-04-19 09:46:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR subtract -1144 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:48:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -3469 = -1144y+589 strategic 1 BUG divide -3469 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check 1 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:48:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 1 = -(-1144y+589)/3469 strategic 1 ERROR rf 1 = -(-1144y+589)/3469 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:49:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:49:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:49:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR rf -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 2 ERROR rds -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:50:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 ERROR answer-check - 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 3 ERROR distribute -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:51:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 4 ERROR rf -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:52:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:54:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 3 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 5 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -5.78 = -2.31+(-1.07x) strategic 1 OK add 2.31 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -3.47 = -1.07x strategic 1 OK divide -1.07 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 3.24299065 = x strategic 1 BUG rds 3.24299065 = x strategic You already solved the equation. x is 3.243. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -5.78 = -2.31+(-1.07x) strategic 2 OK answer-check 3.2430 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 5259+(-8531y) = -4120 strategic 1 BUG subtract -5259 To remove 5259 from the left side, you can subtract a positive from it. Erase your last step and subtract 5259 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 10518-8531y = 1139 strategic 1 OK divide -8531 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:56:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -(10518-8531y)/8531 = -1139/8531 strategic 1 ERROR rf -(10518-8531y)/8531 = -1139/8531 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:57:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 5259+(-8531y) = -4120 strategic 2 OK answer-check 9379/8531 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:57:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 1 ERROR subtract 45 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:57:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2431-9578y = 9146 strategic 1 ERROR divide 14 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:57:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (-2431-9578y)/14 = 4573/7 strategic 1 ERROR rf (-2431-9578y)/14 = 4573/7 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 09:58:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 2 ERROR answer-check -11/14 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:00:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (-2431-9578y)/14 = 4573/7 strategic 2 ERROR rds (-2431-9578y)/14 = 4573/7 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:01:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 3 ERROR answer-check -2431-9578 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:03:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 4 ERROR answer-check 4573/7 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (-2431-9578y)/14 = 4573/7 strategic 3 ERROR add 2386 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:04:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A (-2431-9578y)/14+2386 = 21275/7 strategic 1 ERROR divide -9578 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:04:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -((-2431-9578y)/14+2386)/9578 = -21275/67046 strategic 1 ERROR rf -((-2431-9578y)/14+2386)/9578 = -21275/67046 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:04:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 5 ERROR answer-check 21275/67046 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:05:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2386+(-9578y) = 9191 strategic 6 OK answer-check -1.2087 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:05:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 1 ERROR subtract -6.76 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:05:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 4.93 = 3.28x-0.75 strategic 1 ERROR divide 18.36 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:06:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.05446623(3.28x-0.75) strategic 1 ERROR rds 0.26851852 = 0.05446623(3.28x-0.75) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:06:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 2 ERROR answer-check -1.3627 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:06:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.05446623(3.28x-0.75) strategic 2 ERROR clt 0.26851852 = 0.05446623(3.28x-0.75) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:06:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.05446623(3.28x-0.75) strategic 3 OK distribute 0.05446623(3.28x-0.75) condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:07:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.17864923x-0.04084967 strategic 1 ERROR clt 0.26851852 = 0.17864923x-0.04084967 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:08:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 3 ERROR subtract 3.28 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:08:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.11 = 3.28x-10.79 strategic 1 ERROR divide -10.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:08:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.47358665 = -0.09267841(3.28x-10.79) strategic 1 ERROR rds 0.47358665 = -0.09267841(3.28x-10.79) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:13:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 4 ERROR subtract -6.76 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:14:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 4.93 = 3.28x-0.75 strategic 2 ERROR divide 18.36 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:14:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 5 ERROR answer-check 0.2685 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.05446623(3.28x-0.75) strategic 4 ERROR rds 0.26851852 = 0.05446623(3.28x-0.75) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:15:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.26851852 = 0.05446623(3.28x-0.75) strategic 5 OK distribute 0.05446623(3.28x-0.75) condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:15:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 6 ERROR answer-check 0.1786 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:15:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -1.83 = 3.28x+(-7.51) strategic 7 OK answer-check 1.7317 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:16:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.45+(-0.94y) = -5.19 strategic 1 ERROR subtract -8.84 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:16:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 10.29-0.94y = 3.65 strategic 1 ERROR divide -13.2 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.45+(-0.94y) = -5.19 strategic 2 ERROR answer-check 2.1174 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -0.07575758(10.29-0.94y) = -0.27651515 strategic 1 ERROR clt -0.07575758(10.29-0.94y) = -0.27651515 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:19:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -0.07575758(10.29-0.94y) = -0.27651515 strategic 2 OK distribute -0.07575758(10.29-0.94y) condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:20:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.45+(-0.94y) = -5.19 strategic 3 ERROR answer-check -0.2765 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:20:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 10.29-0.94y = 3.65 strategic 2 ERROR divide -13.2 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:21:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.45+(-0.94y) = -5.19 strategic 4 ERROR answer-check -0.0758 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:21:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.45+(-0.94y) = -5.19 strategic 5 OK answer-check 7.0638 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:21:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -69+76y = -22 strategic 1 OK subtract -69 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:22:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 76y = 47 strategic 1 OK divide 76 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:22:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -69+76y = -22 strategic 2 OK answer-check 47/76 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:22:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 971 = 9228x+(-3143) strategic 1 BUG subtract 971 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:22:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 0 = 9228x-4114 strategic 1 OK divide 9228 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:22:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 0 = (4614x-2057)/4614 strategic 1 ERROR rf 0 = (4614x-2057)/4614 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:23:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 971 = 9228x+(-3143) strategic 2 ERROR answer-check 0 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:23:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 971 = 9228x+(-3143) strategic 3 ERROR answer-check 2 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:23:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 971 = 9228x+(-3143) strategic 4 ERROR answer-check -2057/4614 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:23:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 971 = 9228x+(-3143) strategic 5 OK answer-check 0.4458 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -50.89+79.42x = -90.08 strategic 1 OK subtract -50.89 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:25:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 79.42x = -39.19 strategic 1 OK divide 79.42 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -50.89+79.42x = -90.08 strategic 2 OK answer-check -0.4935 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:25:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -3358y+578 = 824 strategic 1 OK subtract 578 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:25:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -3358y = 246 strategic 1 OK divide -3358 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:26:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -3358y+578 = 824 strategic 2 OK answer-check -123/1679 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:26:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 1 OK subtract -8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:27:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3-(-8.79) = -8.79+(-1.52x)-(-8.79) left 1 OK left -8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:27:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79 = -8.79+(-1.52x)-(-8.79) right 1 OK right -8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:27:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79 = -8.79 strategic 1 BUG divide -1.52 You already solved the equation. -8.79 is equal to -8.79, so there are infinite solutions to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:27:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79/-1.52 = -8.79/-1.52 left 1 OK left -1.52 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:27:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.52 = -8.79/-1.52 right 1 OK right -1.52 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:28:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 2 ERROR answer-check -1.52 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:30:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 3 ERROR distribute -11.3 = -8.79+(-1.52x) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:33:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 4 OK divide -1.52 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:36:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 5 BUG add -8.79 To remove -8.79 from the right side, you can add a positive to it. Erase your last step and add 8.79 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:37:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3+(-8.79) = -8.79+(-1.52x)+(-8.79) left 1 OK left -8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:37:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79 = -8.79+(-1.52x)+(-8.79) right 1 OK right -8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:37:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79 = -8.79 strategic 2 BUG multiply -11.3 You already solved the equation. -8.79 is equal to -8.79, so there are infinite solutions to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.79*(-11.3) = -8.79*(-11.3) left 1 OK left -11.3 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79*(-11.3) right 1 OK right -11.3 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:38:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 6 ERROR clt -11.3 = -8.79+(-1.52x) strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:38:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 7 BUG add -8.79 To remove -8.79 from the right side, you can add a positive to it. Erase your last step and add 8.79 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:39:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3+(-8.79) = -8.79+(-1.52x)+(-8.79) left 2 OK left -20.09 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:39:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -20.09 = -8.79+(-1.52x)+(-8.79) right 1 OK right -19.1 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:40:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -20.09 = -19.1 strategic 1 BUG divide -1.52 You already solved the equation. -20.09 can never be equal to -19.1, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:40:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -20.09/-1.52 = -19.1/-1.52 left 1 OK left 13.2 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:41:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.2 = -19.1/-1.52 right 1 OK right 12.5 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:45:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 8 ERROR answer-check -1.52 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:48:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 9 OK add 8.79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3+8.79 = -8.79+(-1.52x)+8.79 right 1 OK right -1.52 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:50:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3+8.79 = -1.52 left 1 OK left -2.51 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:52:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 10 ERROR answer-check -2.51 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:52:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.3 = -8.79+(-1.52x) strategic 11 OK answer-check 1.6513 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45 = -55+96y strategic 1 OK add 55 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45+55 = -55+96y+55 right 1 OK right 96 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45+55 = 96 left 1 OK left 100 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 100 = 96 strategic 1 BUG mt 100 = 96 strategic You already solved the equation. 100 can never be equal to 96, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45 = -55+96y strategic 2 ERROR answer-check 100 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:53:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45 = -55+96y strategic 3 ERROR answer-check 96.0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45 = -55+96y strategic 4 ERROR answer-check -55 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:54:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 45 = -55+96y strategic 5 OK answer-check 1.0417 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:54:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.11x+0.74 = 1.27 strategic 1 OK subtract .74 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:54:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.11x+0.74 = 1.27 strategic 2 ERROR answer-check 45 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.11x+0.74 = 1.27 strategic 3 ERROR answer-check 468.2 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.11x+0.74 = 1.27 strategic 4 ERROR answer-check 953.2 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.11x+0.74 = 1.27 strategic 5 OK answer-check -0.1037 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2778 = -4744y+(-769) strategic 1 ERROR answer-check 45.6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2778 = -4744y+(-769) strategic 2 ERROR answer-check 956.3 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2778 = -4744y+(-769) strategic 3 ERROR answer-check 78.3 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:55:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2778 = -4744y+(-769) strategic 4 OK answer-check -0.7477 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 133 = -6289x+(-761) strategic 1 ERROR answer-check 78.6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:56:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 133 = -6289x+(-761) strategic 2 ERROR answer-check 96.4 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 133 = -6289x+(-761) strategic 3 ERROR answer-check 95.6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session0 2007-04-19 10:56:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 133 = -6289x+(-761) strategic 4 OK answer-check -0.1422 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:45:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 49.09 = -25.33+6.37y strategic 1 OK add 25.33 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:46:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 49.09 = -25.33+6.37y strategic 2 ERROR answer-check 45.78 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:47:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 49.09 = -25.33+6.37y strategic 3 ERROR answer-check 345.67 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:47:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 49.09 = -25.33+6.37y strategic 4 ERROR answer-check 14.23 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:47:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 49.09 = -25.33+6.37y strategic 5 OK answer-check 11.6829 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:47:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18x+1 = 98 strategic 1 ERROR answer-check 48.23 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:47:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18x+1 = 98 strategic 2 ERROR answer-check 12.65 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:48:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18x+1 = 98 strategic 3 ERROR answer-check 15.62 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:48:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 18x+1 = 98 strategic 4 OK answer-check 5.3889 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:48:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.45+(-3.36y) = 10.75 strategic 1 ERROR answer-check 233.235 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:49:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.45+(-3.36y) = 10.75 strategic 2 ERROR answer-check 144.35562 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:49:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.45+(-3.36y) = 10.75 strategic 3 ERROR answer-check 142.2356 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.45+(-3.36y) = 10.75 strategic 4 OK answer-check -5.119 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3526 = 5009x+8179 strategic 1 ERROR answer-check 1542.32 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:49:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3526 = 5009x+8179 strategic 2 ERROR answer-check 185.325 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3526 = 5009x+8179 strategic 3 ERROR answer-check 142.365 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3526 = 5009x+8179 strategic 4 OK answer-check -2.3368 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8 = 79.11y+98.12 strategic 1 ERROR answer-check 125.3652 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:51:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8 = 79.11y+98.12 strategic 2 ERROR answer-check 14.3562 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:51:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8 = 79.11y+98.12 strategic 3 ERROR answer-check 14.3526 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:52:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8 = 79.11y+98.12 strategic 4 BUG subtract -98.12 To remove 98.12 from the right side, you can subtract a positive from it. Erase your last step and subtract 98.12 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:52:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8-(-98.12) = 79.11y+98.12-(-98.12) left 1 OK left 79.11 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:52:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 79.11 = 79.11y+98.12-(-98.12) right 1 OK right 79.11 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 79.11 = 79.11 strategic 1 BUG rds 79.11 = 79.11 strategic You already solved the equation. 79.11 is equal to 79.11, so there are infinite solutions to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:52:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 78.8 = 79.11y+98.12 strategic 5 OK answer-check -0.2442 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:54:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 14+89x = 10 strategic 1 ERROR answer-check 45.32 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:54:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 14+89x = 10 strategic 2 BUG add 14 Since 14 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 14 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:55:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 14+89x = 10 strategic 3 ERROR answer-check 15.326 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 14+89x = 10 strategic 4 ERROR answer-check 24.3652 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:55:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 14+89x = 10 strategic 5 OK answer-check -0.0449 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:57:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.8 = 32.24+(-75.64x) strategic 1 ERROR answer-check 15.356 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:57:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.8 = 32.24+(-75.64x) strategic 2 ERROR answer-check -0.02563 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:57:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.8 = 32.24+(-75.64x) strategic 3 ERROR answer-check -0.02356 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:57:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.8 = 32.24+(-75.64x) strategic 4 OK answer-check 0.2967 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:58:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723 = -6944 strategic 1 OK subtract 8723 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723 = -6944 strategic 2 ERROR answer-check 0.0321 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:58:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723 = -6944 strategic 3 ERROR answer-check 0.321 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:59:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723-8723 = -6944-8723 left 1 OK left -6441x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 09:59:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x = -6944-8723 right 1 OK right -15667 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:00:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x = -15667 strategic 1 ERROR clt -6441x = -15667 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:00:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723 = -6944 strategic 4 ERROR answer-check 14.3256 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:00:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x = -15667 strategic 2 BUG subtract -6441 In -6441x, x is multiplied by -6441. How do you undo multiplication? BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:00:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x-(-6441) = -15667-(-6441) left 1 OK left 0 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:01:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 0 = -15667-(-6441) right 1 OK right 2.4324 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:01:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6441x+8723 = -6944 strategic 5 OK answer-check 2.4324 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.24 = 9.13+(-8.96y) strategic 1 ERROR answer-check 12.58 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:03:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.24 = 9.13+(-8.96y) strategic 2 ERROR answer-check 2.356 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:03:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.24 = 9.13+(-8.96y) strategic 3 ERROR answer-check 2.2356 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:04:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.24 = 9.13+(-8.96y) strategic 4 OK answer-check 0.6574 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586 = 8037x+(-9833) strategic 1 OK add 9833 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586+9833 = 8037x+(-9833)+9833 right 1 OK right 8037 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:06:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586+9833 = 8037 left 1 OK left 11419 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:06:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11419 = 8037 strategic 1 BUG rf 11419 = 8037 strategic You already solved the equation. 11419 can never be equal to 8037, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:07:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586 = 8037x+(-9833) strategic 2 ERROR answer-check 8037 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:07:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586 = 8037x+(-9833) strategic 3 ERROR answer-check 11419 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:08:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11419 = 8037 strategic 2 BUG distribute 11419 = 8037 strategic You already solved the equation. 11419 can never be equal to 8037, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:08:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586 = 8037x+(-9833) strategic 4 ERROR answer-check 12.35 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:09:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11419 = 8037 strategic 3 BUG divide 8037 You want to isolate -something- by removing 8037 from the right side. 8037 is added to -something-. What is the opposite of addition? BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11419/8037 = 8037/8037 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:10:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11419/8037 = x left 1 OK left 1.4208 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:10:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1586 = 8037x+(-9833) strategic 5 OK answer-check 1.4208 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:10:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y = -11.89 strategic 1 OK add 6.58 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y+6.58 = -11.89+6.58 left 1 OK left 7.95x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:11:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.95x = -11.89+6.58 right 1 OK right -5.31 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:12:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.95x = -5.31 strategic 1 BUG divide 7.95 You already solved the equation. 7.95x can never be equal to -5.31, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:12:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.95x/7.95 = -5.31/7.95 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:12:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -5.31/7.95 right 1 OK right -5.977 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:12:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y = -11.89 strategic 2 ERROR answer-check -5.977 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:12:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y = -11.89 strategic 3 ERROR answer-check -5.9779 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y = -11.89 strategic 4 ERROR answer-check -5.97792 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:13:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.95x = -5.31 strategic 2 BUG divide 7.95 You already solved the equation. 7.95x can never be equal to -5.31, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:13:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.95x/7.95 = -5.31/7.95 left 2 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:14:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -5.31/7.95 right 2 OK right -0.6679 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.58+7.95y = -11.89 strategic 5 OK answer-check -0.6679 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:14:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9535 = -4233y+(-2421) strategic 1 OK add 2421 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:14:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9535+2421 = -4233y+(-2421)+2421 right 1 OK right -4233y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:15:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9535+2421 = -4233y left 1 OK left -7114 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:15:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7114 = -4233y strategic 1 OK divide -4233 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:15:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7114/-4233 = -4233y/-4233 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:16:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7114/-4233 = y left 1 OK left 1.680 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:16:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9535 = -4233y+(-2421) strategic 2 OK answer-check 1.680 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:16:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23 = -10.25+(-5.07y) strategic 1 OK add 10.25 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:16:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23+10.25 = -10.25+(-5.07y)+10.25 right 1 OK right -5.07 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:16:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23 = -10.25+(-5.07y) strategic 2 OK add 10.25 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:17:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23+10.25 = -10.25+(-5.07y)+10.25 right 2 OK right -5.07y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:17:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23+10.25 = -5.07y left 1 OK left 18.48 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:17:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 18.48 = -5.07y strategic 1 OK divide -5.07 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:17:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 18.48/-5.07 = -5.07y/-5.07 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:18:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 18.48/-5.07 = y left 1 OK left -3.644 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.23 = -10.25+(-5.07y) strategic 3 OK answer-check -3.644 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:18:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17) = -11.33 strategic 1 OK add 11.17 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:18:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17)+11.17 = -11.33+11.17 left 1 OK left 11.3y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:19:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y = -11.33+11.17 right 1 OK right 22.5 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:19:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y = 22.5 strategic 1 OK divide 11.3 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:19:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y/11.3 = 22.5/11.3 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:20:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = 22.5/11.3 right 1 OK right 1.991 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:20:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17) = -11.33 strategic 2 ERROR answer-check 1.991 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:20:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17) = -11.33 strategic 3 OK add 11.17 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:21:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17)+11.17 = -11.33+11.17 right 1 OK right -0.16 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:21:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17)+11.17 = -0.16 left 1 OK left 11.3y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:21:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y = -0.16 strategic 1 OK divide 11.3 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:21:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y/11.3 = -0.16/11.3 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:22:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = -0.16/11.3 right 1 OK right -0.014 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:22:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 11.3y+(-11.17) = -11.33 strategic 4 OK answer-check -0.0142 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:22:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79+97x = 35 strategic 1 OK add 79 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79+97x+79 = 35+79 left 1 OK left 97x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 97x = 35+79 right 1 OK right 114 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 97x = 114 strategic 1 OK divide 97 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 97x/97 = 114/97 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 114/97 right 1 OK right 1.175 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:23:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79+97x = 35 strategic 2 OK answer-check 1.175 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:25:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.24+6.16y = -1.43 strategic 1 OK subtract 6.24 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:25:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.24+6.16y-6.24 = -1.43-6.24 left 1 OK left 6.16y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:26:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.16y = -1.43-6.24 right 1 OK right -7.67 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:26:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.16y = -7.67 strategic 1 OK divide 6.16 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:26:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.16y/6.16 = -7.67/6.16 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:26:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = -7.67/6.16 right 1 OK right -1.245 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:27:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 6.24+6.16y = -1.43 strategic 2 OK answer-check -1.2451 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:27:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 46/y+(-42) = 81 strategic 1 OK add 42 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:27:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 46/y = 123 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:27:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 46 = 123y strategic 1 OK divide 123 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 46/y+(-42) = 81 strategic 2 OK answer-check 46/123 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:28:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -949 = -990+49/y strategic 1 OK subtract -990 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 41 = 49/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:29:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 41y = 49 strategic 1 BUG divide 49 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:29:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -949 = -990+49/y strategic 2 ERROR answer-check 41/49 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 41 = 49/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 41y = 49 strategic 2 OK divide 41 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -949 = -990+49/y strategic 3 OK answer-check 49/41 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -64/x+(-62) = 89 strategic 1 OK add 62 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -64/x = 151 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:30:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -64 = 151x strategic 1 OK divide 151 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:31:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -64/x+(-62) = 89 strategic 2 OK answer-check -64/151 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:31:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -27 = 7/x+(-16) strategic 1 OK add 16 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:31:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -11 = 7/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:31:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -11x = 7 strategic 1 OK divide -11 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:31:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -27 = 7/x+(-16) strategic 2 OK answer-check -7/11 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:32:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -782/x+41 = 331 strategic 1 OK subtract 41 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:32:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -782/x = 290 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -782 = 290x strategic 1 OK divide 290 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:32:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -782/x+41 = 331 strategic 2 OK answer-check -391/145 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:33:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x+(-234) = 308 strategic 1 OK add 234 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x+(-234)+234 = 308+234 left 1 OK left 116/x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:33:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x = 308+234 right 1 OK right 542 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:33:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x = 542 strategic 1 ERROR divide 116 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:33:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (116/x)/116 = 542/116 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:34:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 542/116 right 1 OK right 4.672 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:34:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x+(-234) = 308 strategic 2 ERROR answer-check 4.6724 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:36:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x = 542 strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x*x = 542x left 1 OK left 116 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:37:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116 = 542x right 1 OK right 542x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:37:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116 = 542x strategic 1 OK divide 542 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/542 = 542x/542 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:38:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/542 = x left 1 OK left 0.214 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:38:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 116/x+(-234) = 308 strategic 3 OK answer-check 0.2140 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -62+(-67/y) = -55 strategic 1 OK add 62 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:38:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -62+(-67/y)+62 = -55+62 left 1 OK left -67/y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:39:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67/y = -55+62 right 1 OK right 7 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:39:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67/y = 7 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:39:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67/y*y = 7y left 1 OK left -67 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:39:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67 = 7y right 1 OK right 7y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:39:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67 = 7y strategic 1 OK divide 7 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -67/7 = 7y/7 left 1 OK left -9.571 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9.57142857 = 7y/7 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -62+(-67/y) = -55 strategic 2 OK answer-check -9.5714 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x+42 = -30 strategic 1 OK subtract 42 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x+42-42 = -30-42 left 1 OK left 38/x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:40:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x = -30-42 right 1 OK right -72 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x = -72 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x*x = -72x left 1 OK left 38 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38 = -72x right 1 OK right -72x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38 = -72x strategic 1 OK divide -72 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/-72 = -72x/-72 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/-72 = x left 1 OK left -0.527 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 38/x+42 = -30 strategic 2 OK answer-check -0.527 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -547+(-540/y) = 675 strategic 1 OK add 547 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -547+(-540/y)+547 = 675+547 left 1 OK left -540/y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540/y = 675+547 right 1 OK right 1222 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540/y = 1222 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:42:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540/y*y = 1222y left 1 OK left -540 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:43:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540 = 1222y right 1 OK right 1222y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:43:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540 = 1222y strategic 1 OK divide 1222 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:43:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540/1222 = 1222y/1222 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:43:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -540/1222 = y left 1 OK left -0.441 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:43:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -547+(-540/y) = 675 strategic 2 OK answer-check -0.4419 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:44:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8x+(-10) = -7x+3 strategic 1 OK add 10 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8x = -7x+13 strategic 1 OK add 7x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:45:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8x+(-10) = -7x+3 strategic 2 OK answer-check -13 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:45:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1x+8 = -7x+(-7) strategic 1 OK add 7 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:46:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 x+15 = -7x strategic 1 ERROR subtract 15x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:47:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -14x+15 = -22x strategic 1 ERROR clt -14x+15 = -22x strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:48:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -14x+15 = -22x strategic 2 ERROR add -14+15x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:48:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1x+8 = -7x+(-7) strategic 2 ERROR answer-check 12.36 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:48:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1x+8 = -7x+(-7) strategic 3 ERROR answer-check 0.235 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1x+8 = -7x+(-7) strategic 4 ERROR answer-check 0.123 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:49:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1x+8 = -7x+(-7) strategic 5 OK answer-check -1.875 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+5x = 3x+5 strategic 1 ERROR answer-check -34/11 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+5x = 3x+5 strategic 2 OK add 5 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:50:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x = 3x+10 strategic 1 ERROR subtract -3x condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8x = 6x+10 strategic 1 ERROR clt 8x = 6x+10 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:51:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8x = 6x+10 strategic 2 ERROR clt 8x = 6x+10 strategic condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:52:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8x = 6x+10 strategic 3 ERROR divide 16 condition 3 cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:52:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+5x = 3x+5 strategic 3 ERROR answer-check 12.35 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:52:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+5x = 3x+5 strategic 4 ERROR answer-check 1.325 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I 9SHYrfx session1 2007-04-24 10:53:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+5x = 3x+5 strategic 5 OK answer-check 5 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:43:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 BUG add -555 To remove -555 from the right side, you can add a positive to it. Erase your last step and add 555 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:44:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 BUG add -555 To remove -555 from the right side, you can add a positive to it. Erase your last step and add 555 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:44:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -5168 = -1144y-1110 strategic 1 BUG add -5168 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:44:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:44:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:45:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:46:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y+(-3381) = -3839 strategic 1 ERROR add 3839 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:46:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y+(-3381) = -3839 strategic 2 ERROR subtract 3839 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:46:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y+(-3381) = -3839 strategic 3 OK add 3381 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:46:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y = -458 strategic 1 BUG divide 1599 In this equation, y is multiplied by -1599. Dividing by 1599 leaves -y, so you still need to remove the negative sign. It is better to divide by -1599, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:46:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y+(-3381) = -3839 strategic 4 ERROR answer-check -458/1599 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1599y+(-3381) = -3839 strategic 5 OK answer-check -458/-1599 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 28.43 = -12.92y+(-21.27) strategic 1 OK add 21.27 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 49.7 = -12.92y strategic 1 OK divide -12.92 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 28.43 = -12.92y+(-21.27) strategic 2 OK answer-check -3.8467 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 1 OK add 65 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 50 = -13y strategic 1 BUG divide 13 In this equation, y is multiplied by -13. Dividing by 13 leaves -y, so you still need to remove the negative sign. It is better to divide by -13, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:47:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 2 ERROR answer-check 50/13 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:48:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 3 BUG subtract 65 Since -65 is negative, you should add to remove it from the right side. Erase your last step and add 65 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:49:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 4 OK add 65 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:49:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 50 = -13y strategic 2 OK divide -13 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:49:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 5 ERROR answer-check -50/-13 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:49:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 50 = -13y strategic 3 BUG divide 13 In this equation, y is multiplied by -13. Dividing by 13 leaves -y, so you still need to remove the negative sign. It is better to divide by -13, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -15 = -13y+(-65) strategic 6 OK answer-check -50/13 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:50:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 1 ERROR subtract -13.45 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:50:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 2 ERROR add 13.45 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:51:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 3 OK add 13.14 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:51:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -1.21 = -13.45y strategic 1 BUG divide 13.45 In this equation, y is multiplied by -13.45. Dividing by 13.45 leaves -y, so you still need to remove the negative sign. It is better to divide by -13.45, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 4 ERROR answer-check -0.0900 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 5 ERROR answer-check -0.09 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -14.35 = -13.14+(-13.45y) strategic 6 OK answer-check 0.0900 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 1 ERROR subtract 5.6 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 2 BUG add -52.01 To remove -52.01 from the right side, you can add a positive to it. Erase your last step and add 52.01 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 3 BUG subtract 52.01 Since -52.01 is negative, you should add to remove it from the right side. Erase your last step and add 52.01 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 4 OK add 52.01 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:52:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 50.92 = -5.6y strategic 1 BUG divide 5.6 In this equation, y is multiplied by -5.6. Dividing by 5.6 leaves -y, so you still need to remove the negative sign. It is better to divide by -5.6, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 5 ERROR answer-check 9.0929 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -1.09 = -52.01+(-5.6y) strategic 6 OK answer-check -9.0929 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -175 = -5635y+6106 strategic 1 BUG add 6106 Since 6106 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 6106 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -175 = -5635y+6106 strategic 2 BUG add 6106 Since 6106 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 6106 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -175 = -5635y+6106 strategic 3 OK subtract 6106 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -6281 = -5635y strategic 1 BUG divide 5635 In this equation, y is multiplied by -5635. Dividing by 5635 leaves -y, so you still need to remove the negative sign. It is better to divide by -5635, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -175 = -5635y+6106 strategic 4 OK answer-check 6281/5635 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = -89+(-87x) strategic 1 BUG subtract 89 Since -89 is negative, you should add to remove it from the right side. Erase your last step and add 89 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = -89+(-87x) strategic 2 OK add 89 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 42 = -87x strategic 1 BUG divide 87 In this equation, x is multiplied by -87. Dividing by 87 leaves -x, so you still need to remove the negative sign. It is better to divide by -87, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = -89+(-87x) strategic 3 ERROR answer-check -14/-29 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = -89+(-87x) strategic 4 OK answer-check -14/29 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -11.55 = -14.03+8.03y strategic 1 BUG subtract 14.03 Since -14.03 is negative, you should add to remove it from the right side. Erase your last step and add 14.03 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -11.55 = -14.03+8.03y strategic 2 OK add 14.03 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 2.48 = 8.03y strategic 1 OK divide 8.03 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:54:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -11.55 = -14.03+8.03y strategic 3 OK answer-check 0.3088 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:55:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -62x+86 = -75 strategic 1 OK subtract 86 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -62x = -161 strategic 1 BUG divide 62 In this equation, x is multiplied by -62. Dividing by 62 leaves -x, so you still need to remove the negative sign. It is better to divide by -62, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:55:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -62x+86 = -75 strategic 2 OK answer-check 161/62 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579 = -3333x+(-29) strategic 1 OK add 29 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:56:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579+29 = -3333x+(-29)+29 left 1 OK left -2566.6 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6 = -3333x+(-29)+29 right 1 OK right -3333x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:56:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6 = -3333x strategic 1 BUG divide 3333 In this equation, x is multiplied by -3333. Dividing by 3333 leaves -x, so you still need to remove the negative sign. It is better to divide by -3333, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:56:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6/3333 = -3333x/3333 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:57:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6/3333 = x left 1 OK left -3567.37 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:57:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579 = -3333x+(-29) strategic 2 ERROR answer-check -3567.37 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:57:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579 = -3333x+(-29) strategic 3 ERROR answer-check 3567.37 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6 = -3333x strategic 2 OK divide -3333 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:58:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6/-3333 = -3333x/-3333 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2566.6/-3333 = x left 1 OK left -3568.14 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 09:59:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579 = -3333x+(-29) strategic 4 ERROR answer-check -3568.14 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:00:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3579 = -3333x+(-29) strategic 5 OK answer-check 1.0651 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:00:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 1 BUG add 45.23 Since 45.23 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 45.23 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:00:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35+45.23 = -18.26y+45.23+45.23 left 1 OK left 109.58 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:00:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58 = -18.26y+45.23+45.23 right 1 OK right 18.26y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:00:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58 = 18.26y strategic 1 OK divide 18.26 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58/18.26 = 18.26y/18.26 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58/18.26 = y left 1 OK left 6.0010 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 2 ERROR answer-check 6.0011 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58 = 18.26y strategic 2 OK divide 18.26 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58/18.26 = 18.26y/18.26 right 2 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:01:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 109.58/18.26 = y left 2 OK left 6 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:02:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 3 ERROR answer-check -6.0011 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:10:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 4 OK subtract 45.23 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:10:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35-45.23 = -18.26y+45.23-45.23 left 1 OK left 20.12 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:11:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.12 = -18.26y+45.23-45.23 right 1 OK right -18.26y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:11:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.12 = -18.26y strategic 1 BUG divide 18.26 In this equation, y is multiplied by -18.26. Dividing by 18.26 leaves -y, so you still need to remove the negative sign. It is better to divide by -18.26, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:11:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.12/18.26 = -18.26y/18.26 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:11:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.12/18.26 = y left 1 OK left 1.101 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:11:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 5 ERROR answer-check 1.1019 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:12:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 64.35 = -18.26y+45.23 strategic 6 OK answer-check -1.0471 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:12:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63 = 4.67y+(-11.58) strategic 1 BUG subtract 11.58 Since -11.58 is negative, you should add to remove it from the right side. Erase your last step and add 11.58 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session0 2007-04-19 10:12:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63-11.58 = 4.67y+(-11.58)-11.58 left 1 OK left -1.95 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:43:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.95 = 4.67y+(-11.58)-11.58 right 1 OK right 4.67y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:43:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.95 = 4.67y strategic 1 OK divide 4.67 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:43:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.95/4.67 = 4.67y/4.67 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:45:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.95/4.67 = y left 1 OK left -2.39 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:45:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63 = 4.67y+(-11.58) strategic 1 ERROR answer-check -2.39 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:46:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.95 = 4.67y strategic 2 ERROR divide y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:46:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63 = 4.67y+(-11.58) strategic 2 OK add 11.58 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:46:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63+11.58 = 4.67y+(-11.58)+11.58 right 1 OK right 4.67 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63+11.58 = 4.67 left 1 OK left 21.21 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63 = 4.67y+(-11.58) strategic 3 OK add 11.58 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63+11.58 = 4.67y+(-11.58)+11.58 right 2 OK right 4.67y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63+11.58 = 4.67y left 1 OK left 21.21 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.21 = 4.67y strategic 1 OK divide 4.67 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.21/4.67 = 4.67y/4.67 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:47:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.21/4.67 = y left 1 OK left 4.54 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 9.63 = 4.67y+(-11.58) strategic 4 OK answer-check 4.5418 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+16y = 52 strategic 1 OK add 12 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+16y+12 = 52+12 right 1 OK right 64 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+16y+12 = 64 left 1 OK left 16y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y = 64 strategic 1 OK divide 16 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y/16 = 64/16 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 64/16 right 1 OK right 4 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+16y = 52 strategic 2 OK answer-check 4 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:48:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x+9987 = 5354 strategic 1 OK subtract 9987 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:49:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x+9987-9987 = 5354-9987 left 1 OK left -9680x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:49:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x = 5354-9987 right 1 OK right -4633 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:49:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x = -4633 strategic 1 OK divide -9680 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:49:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x/-9680 = -4633/-9680 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:50:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -4633/-9680 right 1 OK right .478 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9680x+9987 = 5354 strategic 2 OK answer-check .4786 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 1 OK add 7.6 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17+7.6 = 0.14x+(-7.6)+7.6 right 1 OK right .14x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17+7.6 = 0.14x left 1 OK left 20.77 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 20.77 = 0.14x strategic 1 OK divide .14 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 20.77/0.14 = 0.14x/0.14 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 20.77/0.14 = x left 1 OK left 148.35 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 2 ERROR answer-check 148.35 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 3 BUG add -7.6 To remove -7.6 from the right side, you can add a positive to it. Erase your last step and add 7.6 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17+(-7.6) = 0.14x+(-7.6)+(-7.6) right 1 OK right .14x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17+(-7.6) = 0.14x left 1 OK left 5.57 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.57 = 0.14x strategic 1 OK divide .14 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.57/0.14 = 0.14x/0.14 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 5.57/0.14 = x left 1 OK left 39.78 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 4 ERROR answer-check 39.78 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:53:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 5 ERROR answer-check 39.7857 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:53:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 13.17 = 0.14x+(-7.6) strategic 6 OK answer-check 148.3571 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.44 = -4.44x+2.72 strategic 1 OK subtract 2.72 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.44-2.72 = -4.44x+2.72-2.72 right 1 OK right -4.44x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.44-2.72 = -4.44x left 1 OK left 6.72 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 6.72 = -4.44x strategic 1 OK divide -4.44 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 6.72/-4.44 = -4.44x/-4.44 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 6.72/-4.44 = x left 1 OK left -1.5135 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.44 = -4.44x+2.72 strategic 2 OK answer-check -1.5135 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810 = -8801x+1083 strategic 1 OK subtract 1083 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:54:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810-1083 = -8801x+1083-1083 right 1 OK right -8801 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810 = -8801x+1083 strategic 2 OK subtract 1083 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:55:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810-1083 = -8801x+1083-1083 right 2 OK right -8801x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810-1083 = -8801x left 1 OK left -10893 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:55:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -10893 = -8801x strategic 1 OK divide -8801 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -10893/-8801 = -8801x/-8801 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:56:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -10893/-8801 = x left 1 OK left 1.2377 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:56:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -9810 = -8801x+1083 strategic 3 OK answer-check 1.2377 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:56:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -552+(-935/y) = 731 strategic 1 OK add 552 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -935/y = 1283 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:57:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -935 = 1283y strategic 1 OK divide 1283 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:57:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -552+(-935/y) = 731 strategic 2 OK answer-check -935/1283 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:57:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -539 = 712/y+148 strategic 1 ERROR add 539 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:58:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -539 = 712/y+148 strategic 2 ERROR add 539 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session1 2007-04-24 09:58:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 0 = 712/y+687 strategic 1 ERROR multiply yy condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:16:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -539 = 712/y+148 strategic 3 OK subtract 148 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:16:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -687 = 712/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:16:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -687y = 712 strategic 1 OK divide -687 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:16:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A y = -712/687 strategic 1 BUG rf y = -712/687 strategic You already solved the equation. y is -712/687. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:17:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A y = -712/687 strategic 2 BUG distribute y = -712/687 strategic You already solved the equation. y is -712/687. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:17:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -539 = 712/y+148 strategic 4 OK answer-check -1.0363 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:17:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 65+31/x = 73 strategic 1 OK subtract 65 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:17:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 31/x = 8 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 31 = 8x strategic 1 OK divide 8 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:18:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 65+31/x = 73 strategic 2 OK answer-check 3.875 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:18:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 762/y+(-329) = -339 strategic 1 BUG add -329 To remove -329 from the left side, you can add a positive to it. Erase your last step and add 329 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:18:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 762/y+(-329) = -339 strategic 2 OK subtract -329 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:18:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 762/y = -10 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:18:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 762 = -10y strategic 1 OK divide -10 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 762/y+(-329) = -339 strategic 3 OK answer-check -76.2 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:19:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 672+453/y = 811 strategic 1 OK subtract 672 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:19:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 672+453/y-672 = 811-672 left 1 OK left 453/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:19:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 811-672 right 1 OK right 139 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:19:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 139 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139y right 1 OK right 1.39/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:20:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 139 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:20:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139y right 2 OK right 139/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:20:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139/y left 1 OK left 453/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:22:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 139 strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:22:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139y left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:22:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 139 strategic 4 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:22:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139y left 2 OK left 453/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:23:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y = 139 strategic 5 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:27:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/y*y = 139y left 3 OK left 453 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:28:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453 = 139y right 1 OK right 139y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:28:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453 = 139y strategic 1 OK divide 139 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:28:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/139 = 139y/139 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:28:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 453/139 = y left 1 OK left 3.2589 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:28:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 672+453/y = 811 strategic 2 OK answer-check 3.2590 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:34:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34+(-43/y) = 95 strategic 1 OK add 34 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:34:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34+(-43/y)+34 = 95+34 right 1 OK right 129 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:34:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34+(-43/y)+34 = 129 left 1 OK left -43/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:35:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -43/y = 129 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:35:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -43/y*y = 129y left 1 OK left -43 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:35:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -43 = 129y right 1 OK right 129y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:35:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -43 = 129y strategic 1 OK divide 129 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:36:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -43/129 = 129y/129 left 1 OK left -0.3333333 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:36:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -0.33333333 = 129y/129 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:36:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34+(-43/y) = 95 strategic 2 OK answer-check -0.3333 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:36:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 1 BUG add -86 To remove -86 from the left side, you can add a positive to it. Erase your last step and add 86 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:36:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+(-86) = -98+(-86) right 1 OK right -184 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+(-86) = -184 left 1 OK left -35/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y = -184 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y*y = -184y left 1 OK left -35 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35 = -184y right 1 OK right -184y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35 = -184y strategic 1 OK divide -184 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:37:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/-184 = -184y/-184 left 1 OK left 0.1902 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:38:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.19021739 = -184y/-184 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 2 ERROR answer-check 0.1902 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:38:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 3 ERROR answer-check -0.1902 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:38:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 4 OK add 86 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:38:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+86 = -98+86 right 1 OK right -184 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+86 = -184 left 1 OK left -35/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y = -184 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y*y = -184y right 1 OK right -184y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y*y = -184y left 2 OK left -35 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35 = -184y strategic 2 OK divide -184 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/-184 = -184y/-184 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:39:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/-184 = y left 1 OK left 0.1902 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:40:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 5 OK add 86 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+86 = -98+86 right 2 OK right 12 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 6 OK add 86 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+86 = -98+86 right 3 OK right -12 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y)+86 = -12 left 1 OK left -35/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y = -12 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/y*y = -12y left 1 OK left -35 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35 = -12y right 1 OK right -12y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35 = -12y strategic 1 OK divide -12 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:41:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/-12 = -12y/-12 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -35/-12 = y left 1 OK left 2.9166 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -86+(-35/y) = -98 strategic 7 OK answer-check 2.9166 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 10+(-972/y) = 894 strategic 1 OK subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 10+(-972/y)-10 = 894-10 right 1 OK right 884 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 10+(-972/y)-10 = 884 left 1 OK left -972/y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972/y = 884 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972/y*y = 884y left 1 OK left -972 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:42:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972 = 884y right 1 OK right 884y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972 = 884y strategic 1 OK divide 884 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972/884 = 884y/884 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -972/884 = y left 1 OK left -1.099 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 10+(-972/y) = 894 strategic 2 OK answer-check -1.099 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -444+381/x = -915 strategic 1 OK add 444 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:43:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -444+381/x+444 = -915+444 left 1 OK left 381/x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/x = -915+444 right 1 OK right -471 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/x = -471 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/x*x = -471x right 1 OK right -471x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/x*x = -471x left 1 OK left 381 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381 = -471x strategic 1 OK divide -471 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/-471 = -471x/-471 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 381/-471 = x left 1 OK left -0.808 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -444+381/x = -915 strategic 2 OK answer-check -0.8089 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:45:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 1x+(-7) = 3+3x strategic 1 OK add 7 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:45:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 x = 10+3x strategic 1 OK subtract 3x condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:45:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -2x = 10 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:45:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 1x+(-7) = 3+3x strategic 2 OK answer-check -5 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:48:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+9y = -5y+(-1) strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:49:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y = -5y-10 strategic 1 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:49:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 14y = -10 strategic 1 OK divide 14 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:49:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+9y = -5y+(-1) strategic 2 OK answer-check -5/7 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:49:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+(-8) = -6y+1 strategic 1 OK add 8 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:49:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y = -6y+9 strategic 1 OK add 6y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:50:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+(-8) = -6y+1 strategic 2 ERROR answer-check 9 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:50:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+(-8) = -6y+1 strategic 3 OK answer-check -9 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:50:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+9y = 5+(-1y) strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:52:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y = 3-y strategic 1 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y = 3-y strategic 2 OK add y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10y = 3 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2+9y = 5+(-1y) strategic 2 OK answer-check 3/10 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+5y = 8+1y strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 12+y strategic 1 OK subtract y condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4y = 12 strategic 1 OK divide 4 condition 3 cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:53:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+5y = 8+1y strategic 2 OK answer-check 3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I A1MG2DB session2 2007-04-24 10:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+(-7y) = -5+3y strategic 1 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I A6478k2 session0 2007-04-17 13:53:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 3.572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 13:54:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 13:57:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 52+(-63y) = -66 strategic 1 OK answer-check 118/63 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 14:00:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 69.51 = 67.78+86.54x strategic 1 OK answer-check 0.02 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 14:06:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.48 = -1.13y+0.29 strategic 1 ERROR answer-check -1.0530 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 14:10:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.48 = -1.13y+0.29 strategic 2 ERROR answer-check 1.05309 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 14:18:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.48 = -1.13y+0.29 strategic 3 OK answer-check 1.56637 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session0 2007-04-17 14:24:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 24 = 34y+(-38) strategic 1 OK answer-check 1.8235 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:03:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9867 = -133y+(-7274) strategic 1 ERROR answer-check 128 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:03:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9867 = -133y+(-7274) strategic 2 ERROR answer-check 128879 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:05:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9867 = -133y+(-7274) strategic 3 ERROR answer-check 128.879 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:05:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9867 = -133y+(-7274) strategic 4 ERROR answer-check -128879 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:06:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9867 = -133y+(-7274) strategic 5 OK answer-check -128.8797 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:09:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 9.71 = 6.76y+(-3.32) strategic 1 OK answer-check 1.9275 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:16:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 692 = 7903+(-720x) strategic 1 OK answer-check 10.0152 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:22:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3647 = -3701y+3723 strategic 1 ERROR answer-check -002053 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I A6478k2 session1 2007-04-24 14:22:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3647 = -3701y+3723 strategic 2 ERROR answer-check -0.02053 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I AAAlvYa session0 2007-04-24 09:45:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR clt -4613 = -1144y-555 strategic condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:46:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR clt -4613 = -1144y-555 strategic condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:46:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR rds -4613 = -1144y-555 strategic condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:47:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:47:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 6.21y+4.78 = 8.65 strategic 1 OK answer-check 0.6232 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:48:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 4120 = 4884+3637x strategic 1 OK answer-check -764/3637 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:48:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.77x+(-9.31) = 9.34 strategic 1 ERROR answer-check -4.6144 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session0 2007-04-24 09:49:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.77x+(-9.31) = 9.34 strategic 2 ERROR answer-check 9.34 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:39:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.77x+(-9.31) = 9.34 strategic 1 OK add 9.31 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:40:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.77x = 18.65 strategic 1 OK divide 3.77 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:40:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.77x+(-9.31) = 9.34 strategic 2 OK answer-check 4.9469 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:46:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -33y+53 = 63 strategic 1 OK subtract 53 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:46:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -33y = 10 strategic 1 OK divide -33 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:46:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -33y+53 = 63 strategic 2 OK answer-check -10/33 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:46:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 61.57 = 13.56y+(-51.73) strategic 1 OK add 51.73 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:46:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 113.3 = 13.56y strategic 1 OK divide 13.56 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:47:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 61.57 = 13.56y+(-51.73) strategic 2 OK answer-check 8.3555 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:47:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -4513 = 1241y+6057 strategic 1 OK subtract 6057 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:47:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -10570 = 1241y strategic 1 OK divide 1241 condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:47:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -4513 = 1241y+6057 strategic 2 OK answer-check -10570/1241 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.48 = -1.95+8.35x strategic 1 ERROR clt -1.48 = -1.95+8.35x strategic condition 3 cwctc 247w34xrp1--3--Alg I AAAlvYa session1 2007-04-24 10:52:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.48 = -1.95+8.35x strategic 2 ERROR subtract 8.35 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:38:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:38:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:38:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:39:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 58.65 = 28.95y+(-81.41) strategic 1 OK subtract -81.41 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:39:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 140.06 = 28.95y strategic 1 OK divide 28.95 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:39:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 58.65 = 28.95y+(-81.41) strategic 2 OK answer-check 4.8380 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:39:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8521+5161x = 5812 strategic 1 OK add 8521 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:40:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 5161x = 14333 strategic 1 OK divide 5161 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:40:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8521+5161x = 5812 strategic 2 OK answer-check 14333/5161 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:40:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -2.74x+(-2.06) = -1.36 strategic 1 OK subtract -2.06 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:40:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -2.74x = 0.7 strategic 1 OK divide -2.74 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:41:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -2.74x+(-2.06) = -1.36 strategic 2 OK answer-check -0.2555 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:41:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5166 = 8793+6305y strategic 1 OK subtract 8793 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:41:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -13959 = 6305y strategic 1 OK divide 6305 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5166 = 8793+6305y strategic 2 OK answer-check -13959/6305 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 99 = 27y+10 strategic 1 OK subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 89 = 27y strategic 1 OK divide 27 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 99 = 27y+10 strategic 2 OK answer-check 89/27 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x+6091 = 6702 strategic 1 OK subtract 6091 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:42:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x+6091-6091 = 6702-6091 left 1 OK left -2248x condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:44:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x = 6702-6091 right 1 OK right 611 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:45:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x = 611 strategic 1 OK divide -2248 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:45:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x/-2248 = 611/-2248 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:45:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = 611/-2248 right 1 OK right -0.27179 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:46:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2248x+6091 = 6702 strategic 2 OK answer-check -0.2718 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:46:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -12.87 = 12.84y+(-14.99) strategic 1 OK subtract -14.99 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:46:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -12.87-(-14.99) = 12.84y+(-14.99)-(-14.99) left 1 OK left 2.12 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:46:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 2.12 = 12.84y+(-14.99)-(-14.99) right 1 OK right 12.84y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:46:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 2.12 = 12.84y strategic 1 OK divide 12.84 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:47:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 2.12/12.84 = 12.84y/12.84 left 1 OK left 0.16510 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:47:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.16510903 = 12.84y/12.84 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:47:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -12.87 = 12.84y+(-14.99) strategic 2 OK answer-check 0.1651 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y+(-35) = -18 strategic 1 OK subtract -35 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y+(-35)-(-35) = -18-(-35) left 1 OK left -2y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y = -18-(-35) right 1 OK right 17 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y = 17 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y/-2 = 17/-2 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 17/-2 right 1 OK right -8.5 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -2y+(-35) = -18 strategic 2 OK answer-check -8.5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:50:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -976/x+(-868) = 460 strategic 1 OK add 868 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:50:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -976/x = 1328 strategic 1 BUG multiply -976 To remove -976/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -976/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -976/x = 1328 strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -976 = 1328x strategic 1 OK divide 1328 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -976/x+(-868) = 460 strategic 2 OK answer-check -61/83 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -546/y+(-557) = -148 strategic 1 OK add 557 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -546/y = 409 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:51:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -546 = 409y strategic 1 OK divide 409 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -546/y+(-557) = -148 strategic 2 OK answer-check -546/409 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:52:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 8 = 3+69/y strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = 69/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5y = 69 strategic 1 OK divide 5 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 8 = 3+69/y strategic 2 OK answer-check 69/5 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 279+(-231/y) = -49 strategic 1 OK subtract 279 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -231/y = -328 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -231 = -328y strategic 1 OK divide -328 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 279+(-231/y) = -49 strategic 2 OK answer-check 231/328 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y+49 = -358 strategic 1 OK subtract 49 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y+49-49 = -358-49 left 1 OK left -264/y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y = -358-49 right 1 OK right -408 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y = -408 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:54:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y*y = -408y left 1 OK left -246 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:55:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -246 = -408y right 1 OK right -408y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:55:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -246 = -408y strategic 1 OK divide -408 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -246/-408 = -408y/-408 left 1 OK left 0.6029 condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:55:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 0.60294118 = -408y/-408 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Ahip2F0 session0 2007-04-24 10:55:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -264/y+49 = -358 strategic 2 ERROR answer-check 0.6029 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I AxgyWmC session31 2007-04-25 13:21:13.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:21:18.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:21:29.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE You can add 555 to both sides of the equation to eliminate the constant value of -555 (-555 + 555 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:21:41.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR clt -4613 = -1144y-555 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:04.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:20.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:22.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 3 HINT_LEVEL_CHANGE -1144y is -1144 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:25.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1144. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:34.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:22:45.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:23:05.0 HINT HINT ES_05 ES_05-1 EG42 87.61+74.33x = 21.84 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:23:06.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE 87.61 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 87.61 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:23:12.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE You can subtract 87.61 from both sides of the equation to eliminate the constant value of 87.61 (87.61 - 87.61 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:23:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42 87.61+74.33x = 21.84 strategic 2 OK subtract 87.61 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:24:28.0 HINT HINT ES_05 ES_05-1 EG42 74.33x = -65.77 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:24:32.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 3 HINT_LEVEL_CHANGE 74.33x is 74.33 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:24:49.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 74.33. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:24:59.0 CYCLE CYCLE ES_05 ES_05-1 EG42 74.33x = -65.77 strategic 2 OK divide 74.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:25:55.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1599x+(-4513) = -2430 strategic 1 ERROR subtract -1599 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:26:01.0 HINT HINT ES_05 ES_05-1 EG43A -1599x+(-4513) = -2430 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:26:31.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:26:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1599x+(-4513) = -2430 strategic 3 OK rds -1599x+(-4513) = -2430 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:26:44.0 HINT HINT ES_05 ES_05-1 EG43A -1599x-4513 = -2430 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:26:45.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE -4513 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4513 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:27:03.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 3 HINT_LEVEL_CHANGE You can add 4513 to both sides of the equation to eliminate the constant value of -4513 (-4513 + 4513 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:27:21.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1599x-4513 = -2430 strategic 2 BUG add -4513 To remove -4513 from the left side, you can add a positive to it. Erase your last step and add 4513 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:27:46.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1599x-4513 = -2430 strategic 3 OK add 4513 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:29:27.0 HINT HINT ES_05 ES_05-1 EG43A -1599x = 2083 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:29:28.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 4 HINT_LEVEL_CHANGE -1599x is -1599 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:29:32.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -1599. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:29:42.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1599x = 2083 strategic 2 OK divide -1599 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:04.0 HINT HINT ES_05 ES_05-1 EG43 2 = -65+56x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:05.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE -65 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -65 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:09.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE You can add 65 to both sides of the equation to eliminate the constant value of -65 (-65 + 65 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43 2 = -65+56x strategic 2 OK add 65 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:20.0 HINT HINT ES_05 ES_05-1 EG43 67 = 56x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:21.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE 56x is 56 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:30:27.0 CYCLE CYCLE ES_05 ES_05-1 EG43 67 = 56x strategic 2 OK divide 56 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:38.0 HINT HINT ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:40.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:44.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 2 OK rds -13.15+(-6.65y) = 1.33 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:49.0 HINT HINT ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:51.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 2 HINT_LEVEL_CHANGE -13.15 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -13.15 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:32:55.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 3 HINT_LEVEL_CHANGE You can add 13.15 to both sides of the equation to eliminate the constant value of -13.15 (-13.15 + 13.15 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:33:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 2 ERROR clt -13.15-6.65y = 1.33 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:33:24.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 3 ERROR add 13.5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:35:17.0 HINT HINT ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:35:18.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 4 HINT_LEVEL_CHANGE -13.15 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -13.15 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:35:26.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 5 HINT_LEVEL_CHANGE You can add 13.15 to both sides of the equation to eliminate the constant value of -13.15 (-13.15 + 13.15 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:44:29.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 3 ERROR add 13.5 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session31 2007-04-25 13:44:35.0 HINT HINT ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:05:44.0 HINT HINT ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 5 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:05:46.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 6 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:16:34.0 HINT HINT ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 6 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:16:36.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 7 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:17:32.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15+(-6.65y) = 1.33 strategic 7 OK rds -13.15+(-6.65y) = 1.33 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:17:36.0 HINT HINT ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:18:09.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 8 HINT_LEVEL_CHANGE -13.15 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -13.15 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:18:15.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 9 HINT_LEVEL_CHANGE You can add 13.15 to both sides of the equation to eliminate the constant value of -13.15 (-13.15 + 13.15 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:18:28.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.15-6.65y = 1.33 strategic 6 ERROR add 13.5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:18:47.0 HINT HINT ES_05 ES_05-1 EG42C 0.35-6.65y = 14.83 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:18:55.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 10 HINT_LEVEL_CHANGE 0.35 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 0.35 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:19:00.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 11 HINT_LEVEL_CHANGE You can subtract 0.35 from both sides of the equation to eliminate the constant value of 0.35 (0.35 - 0.35 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:19:29.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 0.35-6.65y = 14.83 strategic 2 OK subtract 0.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:19:32.0 HINT HINT ES_05 ES_05-1 EG42C -6.65y = 14.48 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:19:34.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 12 HINT_LEVEL_CHANGE -6.65y is -6.65 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:20:04.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 13 HINT_LEVEL_CHANGE Divide both sides by -6.65. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:20:19.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -6.65y = 14.48 strategic 2 OK divide -6.65 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:21:08.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:21:11.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE 11.2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 11.2 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:21:14.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 2 HINT_LEVEL_CHANGE You can subtract 11.2 from both sides of the equation to eliminate the constant value of 11.2 (11.2 - 11.2 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:23:46.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:23:47.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:23:48.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:05.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:07.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:08.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 7 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:09.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 8 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:10.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 9 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:26.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 10 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:28.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 11 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:24:31.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 12 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:25:20.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 3 HINT_LEVEL_CHANGE 11.2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 11.2 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:25:44.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 4 HINT_LEVEL_CHANGE You can subtract 11.2 from both sides of the equation to eliminate the constant value of 11.2 (11.2 - 11.2 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:26:14.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 13 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:26:16.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 5 HINT_LEVEL_CHANGE 11.2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 11.2 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:26:20.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 6 HINT_LEVEL_CHANGE You can subtract 11.2 from both sides of the equation to eliminate the constant value of 11.2 (11.2 - 11.2 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:27:17.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -2.59x+11.2 = 14.72 strategic 14 OK subtract 11.2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:27:22.0 HINT HINT ES_05 ES_05-1 EG42B -2.59x = 3.52 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:27:23.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 7 HINT_LEVEL_CHANGE -2.59x is -2.59 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:27:27.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 8 HINT_LEVEL_CHANGE Divide both sides by -2.59. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session32 2007-04-25 14:27:37.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -2.59x = 3.52 strategic 2 OK divide -2.59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:54.0 HINT HINT ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:55.0 HINT HINT ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:56.0 HINT HINT ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:56.0 HINT HINT ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 4 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:56.0 HINT HINT ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 5 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:19:59.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:06.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -82+(-63x) = -42 strategic 6 OK rds -82+(-63x) = -42 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:09.0 HINT HINT ES_05 ES_05-1 EG43 -82-63x = -42 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:10.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE -82 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -82 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:13.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE You can add 82 to both sides of the equation to eliminate the constant value of -82 (-82 + 82 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:25.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -82-63x = -42 strategic 2 OK add 82 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:28.0 HINT HINT ES_05 ES_05-1 EG43 -63x = 40 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:29.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 4 HINT_LEVEL_CHANGE -63x is -63 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:33.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -63. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:45.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -63x = 40 strategic 2 OK divide -63 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:56.0 HINT HINT ES_05 ES_05-1 EG43 -13+(-31y) = 17 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:20:57.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:03.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -13+(-31y) = 17 strategic 2 OK rds -13+(-31y) = 17 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:06.0 HINT HINT ES_05 ES_05-1 EG43 -13-31y = 17 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:07.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE -13 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -13 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:10.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE You can add 13 to both sides of the equation to eliminate the constant value of -13 (-13 + 13 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:20.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -13-31y = 17 strategic 2 OK add 13 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:23.0 HINT HINT ES_05 ES_05-1 EG43 -31y = 30 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:24.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 4 HINT_LEVEL_CHANGE -31y is -31 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:28.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -31. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:21:52.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -31y = 30 strategic 2 OK divide -31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:34.0 HINT HINT ES_05 ES_05-1 EG42A -10.85 = 8.85+(-11.24y) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:36.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:41.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -10.85 = 8.85+(-11.24y) strategic 2 ERROR distribute -10.85 = 8.85+(-11.24y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:47.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -10.85 = 8.85+(-11.24y) strategic 3 OK rds -10.85 = 8.85+(-11.24y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:49.0 HINT HINT ES_05 ES_05-1 EG42A -10.85 = 8.85-11.24y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:22:50.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 2 HINT_LEVEL_CHANGE 8.85 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8.85 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:23:08.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 3 HINT_LEVEL_CHANGE You can subtract 8.85 from both sides of the equation to eliminate the constant value of 8.85 (8.85 - 8.85 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I AxgyWmC session34 2007-05-04 14:23:08.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 4 HINT_LEVEL_CHANGE 8.85 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8.85 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:37:54.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:38:29.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:38:53.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:40:30.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 2243y+(-4404) = 3282 strategic 1 OK add 4404 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:40:52.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 2243y = 7686 strategic 1 OK divide 2243 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:44:24.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -1.17x+(-0.89) = -2.15 strategic 1 OK subtract -0.89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:44:41.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -1.17x = -1.26 strategic 1 OK divide -1.17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:46:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.08 = -15y+(-8.53) strategic 1 OK add 8.53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:57:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -2.08+8.53 = -15y+(-8.53)+8.53 left 1 OK left 6.45 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:57:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.45 = -15y+(-8.53)+8.53 right 1 BUG right 15y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:57:33.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.45 = -15y+(-8.53)+8.53 right 2 OK right -15y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:57:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.45 = -15y strategic 1 OK divide -15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:58:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.45/-15 = -15y/-15 left 1 OK left -0.43 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 13:58:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -0.43 = -15y/-15 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:00:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -68+(-58y) = 36 strategic 1 OK add 68 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:00:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -68+(-58y)+68 = 36+68 left 1 OK left -58y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:00:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -58y = 36+68 right 1 OK right 36+68 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:13:04.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -58y = 36+68 strategic 1 OK clt 36+68 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:13:23.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK 104 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:13:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -58y = 104 strategic 1 OK divide -58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:13:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -58y/-58 = 104/-58 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session29 2007-04-20 14:20:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 104/-58 right 1 OK right -1.793 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:25:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x+(-2436) = 7567 strategic 1 ERROR clt -6491x+(-2436) = 7567 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:26:04.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x+(-2436) = 7567 strategic 2 OK add 2436 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:27:15.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x+(-2436)+2436 = 7567+2436 left 1 OK left -6491x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:27:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x = 7567+2436 right 1 OK right 10,003 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:31:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x = 10003 strategic 1 ERROR divide x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:31:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x/x = 10003/x left 1 OK left -6491 condition 1 cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:33:43.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x = 10003 strategic 2 OK divide -6491 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:33:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -6491x/-6491 = 10003/-6491 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:34:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = 10003/-6491 right 1 ERROR right -1541056848 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session30 2007-05-09 13:35:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = 10003/-6491 right 2 OK right -1.541056 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session31 2007-05-09 13:56:50.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 274/x+(-933) = -388 strategic 1 OK add 933 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I BU25p0d session31 2007-05-09 13:58:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 274/x = 545 strategic 1 BUG multiply 274 To remove 274/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 274/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I C76m01z session0 2007-04-26 08:39:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:43:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 41.49+37.38y = -27.38 strategic 1 OK answer-check -1.8424 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:47:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A 1997 = -9657y+(-3407) strategic 1 OK answer-check -0.5595 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:49:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 52y+(-54) = 75 strategic 1 ERROR answer-check 1.5454 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:49:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 52y+(-54) = 75 strategic 2 ERROR answer-check 1.545454 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:52:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 52y+(-54) = 75 strategic 3 ERROR answer-check 1.545454545454545 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:52:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 52y+(-54) = 75 strategic 4 ERROR answer-check 2.408 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:52:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 52y+(-54) = 75 strategic 5 OK answer-check 2.4808 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:55:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -14.14x+14.68 = -5.7 strategic 1 ERROR answer-check 2.828 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 08:57:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -14.14x+14.68 = -5.7 strategic 2 ERROR answer-check 2.8289 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 09:04:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -14.14x+14.68 = -5.7 strategic 3 ERROR answer-check -36.42 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 09:04:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -14.14x+14.68 = -5.7 strategic 4 OK answer-check 1.4413 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 09:07:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3964+2007y = -7394 strategic 1 ERROR answer-check .5851 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 09:10:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3964+2007y = -7394 strategic 2 ERROR answer-check .5851311 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session0 2007-04-26 09:15:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3964+2007y = -7394 strategic 3 OK answer-check -1.709 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session1 2007-04-26 09:35:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -14.91 = 4.54+(-68.89x) strategic 1 ERROR answer-check -0.2823 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session1 2007-04-26 09:35:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -14.91 = 4.54+(-68.89x) strategic 2 ERROR answer-check -0.2823341 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session1 2007-04-26 09:36:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -14.91 = 4.54+(-68.89x) strategic 3 ERROR answer-check -0.2838 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session1 2007-04-26 09:36:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -14.91 = 4.54+(-68.89x) strategic 4 OK answer-check .2823 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:33:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -0.47 = -2.44+2.6y strategic 1 OK answer-check .75769 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:35:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 648 = 4885+7872x strategic 1 ERROR answer-check -4236.2423 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:37:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 648 = 4885+7872x strategic 2 OK answer-check -0.53814 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:39:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.98 = -10.04+4.94y strategic 1 ERROR answer-check -3.4453 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:39:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.98 = -10.04+4.94y strategic 2 ERROR answer-check -3.445344 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:41:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.98 = -10.04+4.94y strategic 3 OK answer-check .6194 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:44:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 348 = 5536y+(-2994) strategic 1 OK answer-check .6036 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:47:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -14.65 = -3.2+(-11.18y) strategic 1 ERROR answer-check -0.1172 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:47:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -14.65 = -3.2+(-11.18y) strategic 2 ERROR answer-check .11720035 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:51:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -14.65 = -3.2+(-11.18y) strategic 3 OK answer-check 1.0241 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:53:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -52 = 11+(-10y) strategic 1 OK answer-check 6.3 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 08:56:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 512+2928x = -9378 strategic 1 OK answer-check -3.3777 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:02:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.57 = -8.73y+1.75 strategic 1 ERROR answer-check -0.6628 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:03:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.57 = -8.73y+1.75 strategic 2 ERROR answer-check 0.66287 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:03:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.57 = -8.73y+1.75 strategic 3 ERROR answer-check -0.66287 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:03:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.57 = -8.73y+1.75 strategic 4 OK answer-check -0.6667 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:16:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -6571+1846x = 486 strategic 1 OK answer-check 3.8228 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:18:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 9.37x+12.21 = 9.2 strategic 1 OK answer-check -0.32123 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:19:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 20y+89 = -52 strategic 1 OK answer-check -7.05 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:21:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 77 = -10/x+(-55) strategic 1 OK answer-check -0.0757575 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:24:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -74 = 32+44/x strategic 1 ERROR answer-check -1.0476 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:24:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -74 = 32+44/x strategic 2 ERROR answer-check 1.0476 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:26:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -74 = 32+44/x strategic 3 ERROR answer-check -0.95454 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:27:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -74 = 32+44/x strategic 4 OK answer-check -0.4150 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:30:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 769 = 936+(-353/x) strategic 1 OK answer-check 2.1137 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:31:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 96/x+(-68) = -8 strategic 1 OK answer-check 1.6 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:36:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 926 = 908/y+342 strategic 1 ERROR answer-check 1.6569 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C76m01z session2 2007-05-03 09:36:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 926 = 908/y+342 strategic 2 ERROR answer-check -1.6569 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I C8siiRn session0 2007-04-16 13:25:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:25:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:26:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:26:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 3 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:26:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 4 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:27:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 5 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:29:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.547202 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:29:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 14 = 46y+(-77) strategic 1 OK subtract -77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:29:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91 = 46y strategic 1 OK divide 46 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:30:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 14 = 46y+(-77) strategic 2 ERROR answer-check 1.948 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:30:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 14 = 46y+(-77) strategic 3 OK answer-check 1.978 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:30:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 2.71 = -13.61y+(-9.81) strategic 1 OK subtract -9.81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:31:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 12.52 = -13.61y strategic 1 OK divide -13.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:31:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 2.71 = -13.61y+(-9.81) strategic 2 OK answer-check -0.9199 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:34:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.04+(-7.09x) = 6.22 strategic 1 ERROR subtract -7 -7.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:35:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 12.05-7.09x = 20.31 strategic 1 ERROR add 7.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:35:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 19.14-7.09x = 27.4 strategic 1 ERROR add 274 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:36:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.04+(-7.09x) = 6.22 strategic 2 ERROR subtract -7.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session0 2007-04-16 13:39:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 5.05-7.09x = 13.31 strategic 1 BUG add 5.05 Since 5.05 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5.05 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:53:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 10.1-7.09x = 18.36 strategic 1 BUG add 10.1 Since 10.1 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 10.1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:54:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.04+(-7.09x) = 6.22 strategic 1 OK subtract -2.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:54:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.09x = 8.26 strategic 1 OK divide -7.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:54:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -7.09x = 8.26 strategic 2 OK divide -7.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:54:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A x = -1.16502116 strategic 1 BUG multiply -1 You already solved the equation. x is -1.165. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -x = 1.16502116 strategic 1 OK multiply -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:55:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.04+(-7.09x) = 6.22 strategic 2 OK answer-check -1.1650 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:55:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8688+(-3108y) = 1678 strategic 1 OK subtract -8688 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:56:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -3108y = 10366 strategic 1 OK divide -3108 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:56:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A y = -5183/1554 strategic 1 BUG rf y = -5183/1554 strategic You already solved the equation. y is -5183/1554. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:56:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A y = -5183/1554 strategic 2 BUG rds y = -5183/1554 strategic You already solved the equation. y is -5183/1554. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8688+(-3108y) = 1678 strategic 2 ERROR answer-check 3.33 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:57:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8688+(-3108y) = 1678 strategic 3 ERROR answer-check 3.335 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:57:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8688+(-3108y) = 1678 strategic 4 ERROR answer-check 0.29 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:57:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8688+(-3108y) = 1678 strategic 5 OK answer-check -3.3353 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:58:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -68+(-17x) = 6 strategic 1 OK subtract -68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:58:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -17x = 74 strategic 1 OK divide -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:58:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -68+(-17x) = 6 strategic 2 OK answer-check -4.352 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -3.32x+(-3.33) = -0.14 strategic 1 ERROR subtract -3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -3.32x+(-3.33) = -0.14 strategic 2 OK subtract -3.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:59:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -3.32x = 3.19 strategic 1 OK divide -3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 12:59:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -3.32x+(-3.33) = -0.14 strategic 3 OK answer-check -0.9608 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:00:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 1 OK subtract -14.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:00:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96)-(-14.96) = 2.69-(-14.96) left 1 OK left 8.41y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y = 2.69-(-14.96) right 1 OK right 17.65 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:01:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y = 17.65 strategic 1 OK divide 8.41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:01:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y/8.41 = 17.65/8.41 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:02:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C y = 17.65/8.41 right 1 OK right 0.1189 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:02:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 2 ERROR answer-check 0.1189 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:02:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 3 ERROR answer-check .1189 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:03:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 4 ERROR answer-check -0.1189 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:04:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 5 ERROR answer-check 20 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:04:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 8.41y+(-14.96) = 2.69 strategic 6 OK answer-check 2.0987 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:04:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8851+2047y = 6455 strategic 1 OK subtract 8851 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:04:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8851+2047y-8851 = 6455-8851 left 1 OK left 2047y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:05:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2047y = 6455-8851 right 1 OK right -2396 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:05:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2047y = -2396 strategic 1 OK divide 2047 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:05:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2047y/2047 = -2396/2047 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:05:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -2396/2047 right 1 OK right -1.1704 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8851+2047y = 6455 strategic 2 OK answer-check -1.1705 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 1 OK subtract -90.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:06:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y)-(-90.13) = 85.83-(-90.13) left 1 OK left (-17.12y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:07:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -17.12y = 85.83-(-90.13) right 1 OK right -17596 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:07:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -17.12y = -17596 strategic 1 OK divide -17.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:07:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -17.12y/-17.12 = -17596/-17.12 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:08:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = -17596/-17.12 right 1 OK right 1027.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:08:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 2 ERROR answer-check 1027.8037 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:08:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 3 ERROR answer-check 1027.8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:09:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 4 ERROR answer-check 2000.0000 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:10:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 5 ERROR answer-check -1027.8037 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:10:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -90.13+(-17.12y) = 85.83 strategic 6 OK answer-check -10.278 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:10:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12) = -51 strategic 1 OK subtract -12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:10:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12)-(-12) = -51-(-12) left 1 OK left 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:11:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x = -51-(-12) right 1 OK right 39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x = 39 strategic 1 OK divide 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:11:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x/5 = 39/5 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:11:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 39/5 right 1 OK right 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:11:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12) = -51 strategic 2 ERROR answer-check 7 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:12:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12) = -51 strategic 3 ERROR answer-check 7.8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:12:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12) = -51 strategic 4 ERROR answer-check 8.0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:12:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 5x+(-12) = -51 strategic 5 OK answer-check -7.8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:12:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x+5491 = -3372 strategic 1 OK subtract 5491 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:13:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x+5491-5491 = -3372-5491 left 1 OK left 2370x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:13:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x = -3372-5491 right 1 OK right -8863 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:13:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x = -8863 strategic 1 OK divide 2370 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x/2370 = -8863/2370 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -8863/2370 right 1 OK right -3.7396 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2370x+5491 = -3372 strategic 2 OK answer-check -3.7396 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:15:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 1.61+(-13.93x) = 10.45 strategic 1 OK subtract 1.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:15:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 1.61+(-13.93x)-1.61 = 10.45-1.61 left 1 OK left (-13.93x) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:15:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.93x = 10.45-1.61 right 1 OK right 8.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:15:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.93x = 8.84 strategic 1 BUG divide 13.93 In this equation, x is multiplied by -13.93. Dividing by 13.93 leaves -x, so you still need to remove the negative sign. It is better to divide by -13.93, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:15:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.93x/13.93 = 8.84/13.93 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:16:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 8.84/13.93 right 1 OK right 0.6346 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:16:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 1.61+(-13.93x) = 10.45 strategic 2 OK answer-check -0.6346 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:17:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3 = 13.28+5.18x strategic 1 OK subtract 13.28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:17:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3-13.28 = 13.28+5.18x-13.28 right 1 OK right 5.18x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:17:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3-13.28 = 5.18x left 1 OK left -8.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:17:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.98 = 5.18x strategic 1 OK divide 5.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.98/5.18 = 5.18x/5.18 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:18:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -8.98/5.18 = x left 1 OK left -1.7162 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:18:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3 = 13.28+5.18x strategic 2 ERROR answer-check -1.7162 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:19:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3 = 13.28+5.18x strategic 3 ERROR answer-check -17.16 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3 = 13.28+5.18x strategic 4 ERROR answer-check 17.16 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:19:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.3 = 13.28+5.18x strategic 5 OK answer-check -1.7336 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:21:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-86y) = -89 strategic 1 OK subtract -12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:21:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-86y)-(-12) = -89-(-12) left 1 OK left (-86y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:22:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -86y = -89-(-12) right 1 OK right 77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -86y = 77 strategic 1 OK divide -86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:22:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -86y/-86 = 77/-86 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:24:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 77/-86 right 1 OK right -0.8953 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:24:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-86y) = -89 strategic 2 ERROR answer-check -0.8953 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:25:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-86y) = -89 strategic 3 OK answer-check 0.8953 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:26:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92 = 13.47y+(-10.73) strategic 1 OK subtract -10.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:26:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92-(-10.73) = 13.47y+(-10.73)-(-10.73) right 1 OK right 13.47y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:27:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92-(-10.73) = 13.47y left 1 OK left -11.81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:27:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.81 = 13.47y strategic 1 OK divide 13.47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:28:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.81/13.47 = 13.47y/13.47 left 1 OK left -0.1343 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:31:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -0.1343 = 13.47y/13.47 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:31:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92 = 13.47y+(-10.73) strategic 1 ERROR answer-check -0.1343 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:32:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92 = 13.47y+(-10.73) strategic 2 ERROR answer-check -13.43 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:32:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92 = 13.47y+(-10.73) strategic 3 ERROR answer-check -013.43 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:32:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -8.92 = 13.47y+(-10.73) strategic 4 OK answer-check 0.1344 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7676+(-3359y) = -9742 strategic 1 ERROR subtract -7675 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:33:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7676+(-3359y) = -9742 strategic 2 OK subtract -7676 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:33:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7676+(-3359y)-(-7676) = -9742-(-7676) left 1 OK left (-3359y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:34:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3359y = -9742-(-7676) right 1 OK right 2066 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:34:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3359y = 2066 strategic 1 OK divide -3359 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:34:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3359y/-3359 = 2066/-3359 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:35:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = 2066/-3359 right 1 OK right -0.6150 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:35:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7676+(-3359y) = -9742 strategic 3 ERROR answer-check -0.6150 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:35:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7676+(-3359y) = -9742 strategic 4 OK answer-check 0.6150 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:35:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79 = -81+(-81y) strategic 1 OK subtract -81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:36:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79-(-81) = -81+(-81y)-(-81) right 1 OK right (-81y) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:36:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79-(-81) = -81y left 1 OK left 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:36:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 2 = -81y strategic 1 OK divide -81 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:36:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 2/-81 = -81y/-81 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:36:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 2/-81 = y left 1 OK left -0.0246 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79 = -81+(-81y) strategic 2 ERROR answer-check 0.0247 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:37:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -79 = -81+(-81y) strategic 3 OK answer-check -0.0247 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.76 = -10.8+(-0.36y) strategic 1 OK subtract -10.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I C8siiRn session1 2007-04-20 13:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.76-(-10.8) = -10.8+(-0.36y)-(-10.8) left 1 OK left -1.3917 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:54:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 5.38 = -5.76+(-1.98x) strategic 1 OK add 5.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 11.14 = -1.98x strategic 1 OK divide -1.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:54:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 5.38 = -5.76+(-1.98x) strategic 2 OK answer-check -5.6263 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:55:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -9846x+(-8981) = -8716 strategic 1 OK add +8981 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:55:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -9846x = 265 strategic 1 OK divide -9846 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -9846x+(-8981) = -8716 strategic 2 OK answer-check -265/9846 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.3+(-2.24y) = -12.93 strategic 1 ERROR subtract 8.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:56:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -13.59-2.24y = -21.22 strategic 1 ERROR divide -16.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:59:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -13.59-2.24y = -21.22 strategic 2 OK add 13.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:59:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -2.24y = -7.63 strategic 1 OK divide -2.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:59:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.3+(-2.24y) = -12.93 strategic 2 OK answer-check 3.4063 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 12:59:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 53 = 76y+(-17) strategic 1 OK subtract -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:00:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 70 = 76y strategic 1 BUG divide 70 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:00:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 70 = 76y strategic 2 OK divide 76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:00:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 53 = 76y+(-17) strategic 2 ERROR answer-check 38/35 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 53 = 76y+(-17) strategic 3 OK answer-check 35/38 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:01:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -7.31 = 1.19y+(-11.8) strategic 1 OK subtract -11.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 4.49 = 1.19y strategic 1 BUG divide 4.49 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -7.31 = 1.19y+(-11.8) strategic 2 OK subtract -11.8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 4.49 = 1.19y strategic 2 ERROR divide 1.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 4.49 = 1.19y strategic 3 OK divide 1.19 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -7.31 = 1.19y+(-11.8) strategic 3 OK answer-check 3.7731 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 3435 = 7054y+(-8243) strategic 1 OK add 8243 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:02:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 11678 = 7054y strategic 1 BUG divide 11678 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:03:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 11678 = 7054y strategic 2 OK divide 7054 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:03:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 3435 = 7054y+(-8243) strategic 2 OK answer-check 5839/3527 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 1 ERROR subtract 12.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x-12.45 = 3.85-12.45 left 1 OK left -6.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24 = 3.85-12.45 right 1 OK right 385 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 2 ERROR subtract 12.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x-12.45 = 3.85-12.45 left 2 OK left -6.24x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:04:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24x = 3.85-12.45 right 1 OK right 3.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24x = 3.85 strategic 1 BUG divide 6.24 In this equation, x is multiplied by -6.24. Dividing by 6.24 leaves -x, so you still need to remove the negative sign. It is better to divide by -6.24, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24x/6.24 = 3.85/6.24 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:06:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 3.85/6.24 right 1 OK right 0.616 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:07:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 3 ERROR answer-check 0.6170 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 4 ERROR answer-check 2.41 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:08:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24x = 3.85 strategic 2 BUG divide 6.24 In this equation, x is multiplied by -6.24. Dividing by 6.24 leaves -x, so you still need to remove the negative sign. It is better to divide by -6.24, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:09:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 5 OK add 6.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:09:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x+6.24 = 3.85+6.24 left 1 OK left 12.45x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:10:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.45x = 3.85+6.24 right 1 OK right 10.90 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:10:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.45x = 10.9 strategic 1 OK divide 12.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:10:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.45x/12.45 = 10.9/12.45 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:11:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 10.9/12.45 right 1 OK right 0.8755 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:11:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 6 ERROR answer-check 0.8755 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:11:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.24+12.45x = 3.85 strategic 7 OK answer-check 0.8104 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:12:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 1 OK subtract 9598 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:13:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 2 ERROR add 2521 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:15:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 3 ERROR add -2521 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:15:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598+(-2521) = -2057+(-2521) left 1 OK left 9598y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:18:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 4 OK subtract 9598 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598-9598 = -2057-9598 left 1 OK left -2521y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y = -2057-9598 right 1 OK right -11655 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:21:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y = -11655 strategic 1 BUG divide 2521 In this equation, y is multiplied by -2521. Dividing by 2521 leaves -y, so you still need to remove the negative sign. It is better to divide by -2521, since that would leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:26:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y/2521 = -11655/2521 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:26:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -11655/2521 right 1 OK right 4.6231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:26:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 5 ERROR answer-check 4.6321 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:26:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2521y+9598 = -2057 strategic 6 OK answer-check 4.6231 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 57 = -30+73x strategic 1 OK add 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:27:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 57+30 = -30+73x+30 left 1 OK left 87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:27:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 87 = -30+73x+30 right 1 OK right 73x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:27:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 87 = 73x strategic 1 OK divide 73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:27:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 87/73 = 73x/73 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:28:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 73x/73 right 1 OK right 1.1917 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:28:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 57 = -30+73x strategic 2 OK answer-check 1.1917 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:29:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22) = 99.48 strategic 1 OK add 16.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:29:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22)+16.22 = 99.48+16.22 left 1 OK left -52.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:29:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y = 99.48+16.22 right 1 OK right 15.7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:30:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22) = 99.48 strategic 2 OK add 16.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22)+16.22 = 99.48+16.22 left 2 OK left -52.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:31:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y = 99.48+16.22 right 2 OK right 115.7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y = 115.7 strategic 1 OK divide -52.86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:31:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y/-52.86 = 115.7/-52.86 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 115.7/-52.86 right 1 OK right 2.188 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:32:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22) = 99.48 strategic 3 ERROR answer-check 2.188 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:32:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22) = 99.48 strategic 4 ERROR answer-check 2.1888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:32:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -52.86y+(-16.22) = 99.48 strategic 5 OK answer-check -2.1888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:33:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -5.91+(-9.92x) = 2.42 strategic 1 OK add 5.91 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -5.91+(-9.92x)+5.91 = 2.42+5.91 left 1 OK left -9.92x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:33:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.92x = 2.42+5.91 right 1 OK right 8.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:34:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.92x = 8.33 strategic 1 BUG divide 9.92 In this equation, x is multiplied by -9.92. Dividing by 9.92 leaves -x, so you still need to remove the negative sign. It is better to divide by -9.92, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:34:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.92x/9.92 = 8.33/9.92 right 1 OK right 0.8397 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:34:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.92x/9.92 = 0.83971774 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:34:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -5.91+(-9.92x) = 2.42 strategic 2 ERROR answer-check 0.8397 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:34:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -5.91+(-9.92x) = 2.42 strategic 3 OK answer-check -0.8397 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:35:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1069 = 959x+4604 strategic 1 OK subtract 4604 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:35:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1069-4604 = 959x+4604-4604 right 1 OK right 959x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:36:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1069-4604 = 959x left 1 OK left -3535 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:36:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3535 = 959x strategic 1 OK divide 959 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:36:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3535/959 = 959x/959 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3535/959 = x left 1 OK left 3.6861 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:37:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1069 = 959x+4604 strategic 2 ERROR answer-check 3.6861 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1069 = 959x+4604 strategic 3 OK answer-check -3.6861 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:37:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 1 OK subtract 33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:37:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70-33 = 33+7y-33 right 1 OK right 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70-33 = 7y left 1 OK left 37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 37 = 7y strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 37/7 = 7y/7 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 37/7 = y left 1 OK left 5.2827 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 2 ERROR answer-check -5.2827 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session0 2007-04-20 13:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 3 ERROR answer-check 5.2827 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:55:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 1 OK subtract 33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:55:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70-33 = 33+7y-33 left 1 OK left 103 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 103 = 33+7y-33 right 1 OK right 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:55:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 103 = 7y strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:55:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 103/7 = 7y/7 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 103/7 = y left 1 OK left 14.7142 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 2 ERROR answer-check 14.7143 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:56:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 33+7y strategic 3 OK answer-check -14.7143 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 12:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x = 1.14 strategic 1 ERROR subtract 10.93x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:00:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x = 1.14 strategic 2 ERROR mt -3.04+10.93x = 1.14 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:00:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x = 1.14 strategic 3 ERROR rds -3.04+10.93x = 1.14 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x = 1.14 strategic 4 OK add 3.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:01:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x+3.04 = 1.14+3.04 left 1 OK left 10.93x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.93x = 1.14+3.04 right 1 OK right 4.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:01:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.93x = 4.18 strategic 1 OK divide 10.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:02:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.93x/10.93 = 4.18/10.93 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:02:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 4.18/10.93 right 1 OK right 0.3824 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:02:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -3.04+10.93x = 1.14 strategic 5 OK answer-check 0.3824 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:02:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.66+75.86y = 91.26 strategic 1 OK subtract 69.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:03:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.66+75.86y-69.66 = 91.26-69.66 left 1 OK left 75.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:03:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 75.86y = 91.26-69.66 right 1 OK right 21.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:03:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 75.86y = 21.6 strategic 1 OK divide 75.86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:03:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 75.86y/75.86 = 21.6/75.86 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:04:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 21.6/75.86 right 1 OK right 0.2847 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:04:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.66+75.86y = 91.26 strategic 2 OK answer-check 0.2847 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:04:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 75 = 69x+(-23) strategic 1 OK add 23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 75+23 = 69x+(-23)+23 right 1 OK right 69x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 75+23 = 69x left 1 OK left 98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 98 = 69x strategic 1 OK divide 69 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 98/69 = 69x/69 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 98/69 = x left 1 OK left 1.420 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:05:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 75 = 69x+(-23) strategic 2 OK answer-check 1.4203 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:06:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 4+(-98/x) = -52 strategic 1 OK subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:07:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -98/x = -56 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:07:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -98 = -56x strategic 1 BUG divide 56 In this equation, x is multiplied by -56. Dividing by 56 leaves -x, so you still need to remove the negative sign. It is better to divide by -56, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:07:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 4+(-98/x) = -52 strategic 2 OK answer-check 7/4 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:08:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 69 = 28+(-70/x) strategic 1 OK subtract 28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:09:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 41 = -70/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:09:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 41x = -70 strategic 1 OK divide 41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:09:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 69 = 28+(-70/x) strategic 2 ERROR answer-check 70/41 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:09:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 69 = 28+(-70/x) strategic 3 OK answer-check -70/41 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:10:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 821+221/x = -407 strategic 1 OK subtract 821 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:10:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 221/x = -1228 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:10:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 221 = -1228x strategic 1 BUG divide 1228 In this equation, x is multiplied by -1228. Dividing by 1228 leaves -x, so you still need to remove the negative sign. It is better to divide by -1228, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 821+221/x = -407 strategic 2 ERROR answer-check 221/1228 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:10:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 821+221/x = -407 strategic 3 OK answer-check -221/1228 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:17:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = -58/x+14 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:17:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 0 = -58/x+9 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:17:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = -58/x+14 strategic 2 ERROR subtract 58/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5-58/x = -116/x+14 strategic 1 ERROR multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = -58/x+14 strategic 3 OK subtract 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9 = -58/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9x = -58 strategic 1 BUG divide 9 In this equation, x is multiplied by -9. Dividing by 9 leaves -x, so you still need to remove the negative sign. It is better to divide by -9, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = -58/x+14 strategic 4 ERROR answer-check -58/9 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:18:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 5 = -58/x+14 strategic 5 OK answer-check 58/9 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -377 = -77/x+669 strategic 1 OK subtract 669 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:19:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1046 = -77/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:19:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1046x = -77 strategic 1 BUG divide 1046 In this equation, x is multiplied by -1046. Dividing by 1046 leaves -x, so you still need to remove the negative sign. It is better to divide by -1046, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -377 = -77/x+669 strategic 2 OK answer-check 77/1046 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:20:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 1 BUG subtract 79 Since -79 is negative, you should add to remove it from the left side. Erase your last step and add 79 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:20:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 2 ERROR subtract 76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:20:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 3 ERROR subtract 44/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 4 BUG subtract 79 Since -79 is negative, you should add to remove it from the left side. Erase your last step and add 79 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y-158 = -155 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 5 OK add 79 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y = 3 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44 = 3y strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 6 ERROR answer-check 44/3 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:21:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -44/y+(-79) = -76 strategic 7 OK answer-check -44/3 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:22:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 83 = -44/x+24 strategic 1 OK subtract 24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:22:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 59 = -44/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:22:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 59x = -44 strategic 1 OK divide 59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:22:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 83 = -44/x+24 strategic 2 OK answer-check -44/59 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:23:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 923/x+652 = 535 strategic 1 OK subtract 652 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:23:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 923/x = -117 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:23:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 923 = -117x strategic 1 BUG divide 117 In this equation, x is multiplied by -117. Dividing by 117 leaves -x, so you still need to remove the negative sign. It is better to divide by -117, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:23:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 923/x+652 = 535 strategic 2 OK answer-check -71/9 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:23:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76 = -44/y+(-90) strategic 1 BUG subtract 90 Since -90 is negative, you should add to remove it from the right side. Erase your last step and add 90 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:24:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76 = -44/y+(-90) strategic 2 OK add 90 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:24:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76+90 = -44/y+(-90)+90 right 1 OK right -44/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:24:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76+90 = -44/y left 1 OK left 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:24:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = -44/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y = -44/y*y left 1 OK left 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = -44/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y = -44/y*y left 2 OK left 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y = -44/y*y right 1 OK right 44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y = 44 strategic 1 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:25:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y/14 = 44/14 right 1 OK right 3.1428 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:26:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14y/14 = 3.14285714 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:26:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76 = -44/y+(-90) strategic 3 ERROR answer-check 3.1428 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:26:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -76 = -44/y+(-90) strategic 4 OK answer-check -3.1428 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:26:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y+125 = 102 strategic 1 OK subtract 125 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y+125-125 = 102-125 left 1 OK left 206/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y = 102-125 right 1 OK right -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y = -23 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y*y = -23y left 1 OK left 206 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206 = -23y right 1 OK right -23y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206 = -23y strategic 1 BUG divide 23 In this equation, y is multiplied by -23. Dividing by 23 leaves -y, so you still need to remove the negative sign. It is better to divide by -23, since that would leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:27:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/23 = -23y/23 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/23 = y left 1 OK left 8.9565 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:28:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y+125 = 102 strategic 2 ERROR answer-check 8.9565 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:28:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 206/y+125 = 102 strategic 3 OK answer-check -8.9565 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:28:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 1 OK subtract 377 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542-377 = 523/y+377-377 left 1 OK left 165 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165 = 523/y+377-377 right 1 OK right 523/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165 = 523/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165y = 523/y*y left 1 OK left 165y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165y = 523/y*y right 1 OK right 523 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165y = 523 strategic 1 OK divide 165 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 165y/165 = 523/165 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 523/165 right 1 OK right 3.1696 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:29:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 2 ERROR answer-check 3.1696 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:30:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 3 ERROR answer-check -3.1696 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:30:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 4 ERROR answer-check 3.1697 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:30:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 5 ERROR answer-check 3.1696 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:30:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -542 = 523/y+377 strategic 6 OK answer-check -523/919 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:31:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 139 = 924/x+608 strategic 1 OK subtract 608 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:31:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 139-608 = 924/x+608-608 left 1 OK left -469 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:31:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469 = 924/x+608-608 right 1 OK right 924/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469 = 924/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469x = 924/x*x left 1 OK left -469 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469 = 924/x*x right 1 OK right 924 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469 = 924 strategic 1 BUG divide 469 You already solved the equation. -469 can never be equal to 924, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469/469 = 924/469 right 1 OK right 1.9701 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -469/469 = 1.97014925 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:32:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 139 = 924/x+608 strategic 2 ERROR answer-check 1.9701 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:33:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 139 = 924/x+608 strategic 3 OK answer-check -1.9701 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:33:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 39 = -83/x+66 strategic 1 OK subtract 66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:33:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 39-66 = -83/x+66-66 left 1 OK left -27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:33:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27 = -83/x+66-66 right 1 OK right 83/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27 = 83/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27x = 83/x*x left 1 OK left -27x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27x = 83/x*x right 1 OK right 83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27x = 83 strategic 1 BUG divide 27 In this equation, x is multiplied by -27. Dividing by 27 leaves -x, so you still need to remove the negative sign. It is better to divide by -27, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27x/27 = 83/27 right 1 OK right 3.0740 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:34:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -27x/27 = 3.07407407 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:35:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 39 = -83/x+66 strategic 2 OK answer-check 3.0740 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:35:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 94 = 991/x+957 strategic 1 OK subtract 957 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 94-957 = 991/x+957-957 left 1 OK left 863 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863 = 991/x+957-957 right 1 OK right 991/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863 = 991/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863x = 991/x*x left 1 OK left 863x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863x = 991/x*x right 1 OK right 991 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863x = 991 strategic 1 OK divide 863 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:36:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 863x/863 = 991/863 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:37:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 991/863 right 1 OK right 1.1483 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 94 = 991/x+957 strategic 2 ERROR answer-check 1.1483 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:37:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 94 = 991/x+957 strategic 3 OK answer-check -1.1483 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:37:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 123 = -210/y+(-684) strategic 1 OK add 684 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 123+684 = -210/y+(-684)+684 right 1 OK right 210/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 123+684 = 210/y left 1 OK left 807 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 807 = 210/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 807y = 210/y*y left 1 OK left 807y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 807y = 210/y*y right 1 OK right 210 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 807y = 210 strategic 1 OK divide 807 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 807y/807 = 210/807 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:39:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 210/807 right 1 OK right 0.2602 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I CBGaI7G session1 2007-04-23 13:39:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 123 = -210/y+(-684) strategic 2 ERROR answer-check 0.2602 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I D49Uk8t session0 2007-04-17 12:01:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:01:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:01:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:02:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -6061+8962x = 6538 strategic 1 OK add 6061 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:02:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 8962x = 12599 strategic 1 OK divide 8962 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:02:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -0.41 = 9.23x+5.43 strategic 1 BUG subtract -5.43 To remove 5.43 from the right side, you can subtract a positive from it. Erase your last step and subtract 5.43 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:03:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -0.41 = 9.23x+5.43 strategic 2 OK subtract 5.43 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:03:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -5.84 = 9.23x strategic 1 OK divide 9.23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:03:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8646+(-4074x) = -6340 strategic 1 ERROR subtract 46 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:03:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8646+(-4074x) = -6340 strategic 2 ERROR subtract -46 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:03:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8646+(-4074x) = -6340 strategic 3 ERROR subtract -4074 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:04:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8646+(-4074x) = -6340 strategic 4 OK subtract -8646 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:04:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4074x = 2306 strategic 1 OK divide -4074 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:04:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -4.01+1.47x = 9.11 strategic 1 BUG add -4.01 To remove -4.01 from the left side, you can add a positive to it. Erase your last step and add 4.01 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:07:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -4.01+1.47x = 9.11 strategic 2 BUG add -4.01 To remove -4.01 from the left side, you can add a positive to it. Erase your last step and add 4.01 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:07:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -4.01+1.47x = 9.11 strategic 3 OK add 4.01 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:07:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 1.47x = 13.12 strategic 1 OK divide 1.47 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:07:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -7.67 = 8.34x+11.98 strategic 1 OK subtract 11.98 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:07:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -19.65 = 8.34x strategic 1 OK divide 8.34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:08:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -54 = -61y+(-69) strategic 1 OK add 69 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:08:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 15 = -61y strategic 1 OK divide -61 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:08:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x+(-2.28) = 8.67 strategic 1 OK add 2.28 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:09:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x+(-2.28)+2.28 = 8.67+2.28 left 1 ERROR left 10.57 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:10:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x+(-2.28)+2.28 = 8.67+2.28 left 2 BUG left 12.85 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:10:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x+(-2.28)+2.28 = 8.67+2.28 left 3 OK left 12.85x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:10:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x = 8.67+2.28 right 1 OK right 10.95 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:10:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x = 10.95 strategic 1 OK divide 12.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:10:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 12.85x/12.85 = 10.95/12.85 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:11:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C x = 10.95/12.85 right 1 OK right 0.8521 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:11:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413 = -8268+825x strategic 1 BUG subtract 8268 Since -8268 is negative, you should add to remove it from the right side. Erase your last step and add 8268 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:11:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413 = -8268+825x strategic 2 OK subtract -8268 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:12:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413-(-8268) = -8268+825x-(-8268) left 1 ERROR left -69558684 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:13:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413-(-8268) = -8268+825x-(-8268) left 2 ERROR left 16411 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:13:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413-(-8268) = -8268+825x-(-8268) left 3 OK left 16681 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:14:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681 = -8268+825x-(-8268) right 1 ERROR right 17506 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:14:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681 = -8268+825x-(-8268) right 2 ERROR right 8268 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:16:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413 = -8268+825x strategic 3 OK add 8268 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:16:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 8413+8268 = -8268+825x+8268 left 1 OK left 16681 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:17:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681 = -8268+825x+8268 right 1 BUG right 825 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:17:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681 = -8268+825x+8268 right 2 OK right 825x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:17:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681 = 825x strategic 1 OK divide 825 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:17:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681/825 = 825x/825 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:17:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681/825 = x left 1 ERROR left 20.21 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:18:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 16681/825 = x left 2 OK left 20.21939 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:18:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 47.27+(-42.01y) = -21.9 strategic 1 ERROR add 41.27 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:18:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 47.27+(-42.01y) = -21.9 strategic 2 OK subtract 47.27 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:19:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 47.27+(-42.01y)-47.27 = -21.9-47.27 left 1 BUG left -42.01 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:19:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 47.27+(-42.01y)-47.27 = -21.9-47.27 left 2 ERROR left -42.01x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:20:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 47.27+(-42.01y)-47.27 = -21.9-47.27 left 3 OK left -42.01y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:20:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -42.01y = -21.9-47.27 right 1 OK right -69.17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:20:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -42.01y = -69.17 strategic 1 OK divide -42.01 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:20:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -42.01y/-42.01 = -69.17/-42.01 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:21:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = -69.17/-42.01 right 1 ERROR right 164.65127 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:22:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = -69.17/-42.01 right 2 BUG right -1.64651 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:22:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = -69.17/-42.01 right 3 OK right 1.6465 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:23:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y+(-94) = -31 strategic 1 OK add 94 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:23:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y+(-94)+94 = -31+94 left 1 OK left -80y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:23:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y = -31+94 right 1 ERROR right 64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:24:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y = -31+94 right 2 OK right 63 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:24:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y = 63 strategic 1 ERROR divide y condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:24:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y = 63 strategic 2 OK divide -80 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:24:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -80y/-80 = 63/-80 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:24:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = 63/-80 right 1 OK right -0.7875 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:25:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8388 = 5912y+(-613) strategic 1 ERROR subtract -8368 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:25:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8388 = 5912y+(-613) strategic 2 BUG add -8388 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:26:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8388 = 5912y+(-613) strategic 3 OK subtract -613 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:26:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8388-(-613) = 5912y+(-613)-(-613) left 1 OK left -7775 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775 = 5912y+(-613)-(-613) right 1 OK right 5912y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775 = 5912y strategic 1 ERROR divide 5612 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775 = 5912y strategic 2 OK divide 5912 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775/5912 = 5912y/5912 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775/5912 = y left 1 BUG left 1.3151 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:27:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -7775/5912 = y left 2 OK left -1.3151 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 0.3 = -7.8+(-12.73x) strategic 1 OK subtract -7.8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:28:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 0.3-(-7.8) = -7.8+(-12.73x)-(-7.8) left 1 OK left 8.1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:29:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.1 = -7.8+(-12.73x)-(-7.8) right 1 BUG right 12.73x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:29:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.1 = -7.8+(-12.73x)-(-7.8) right 2 OK right -12.73x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:29:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.1 = -12.73x strategic 1 OK divide -12.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:29:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.1/-12.73 = -12.73x/-12.73 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:30:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.1/-12.73 = x left 1 OK left -0.6362 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:30:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -738/y+(-952) = 111 strategic 1 OK add 952 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -738/y = 1063 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:31:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -738 = 1063y strategic 1 OK divide 1063 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 60+(-47/x) = -40 strategic 1 OK subtract 60 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -47/x = -100 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -47 = -100x strategic 1 OK divide -100 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 303 = 973/y+250 strategic 1 OK subtract 250 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 53 = 973/y strategic 1 ERROR multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:32:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 53 = 973/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 53y = 973 strategic 1 OK divide 53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:33:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 793/x+98 = -752 strategic 1 BUG add 98 Since 98 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 98 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:33:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 793/x+98 = -752 strategic 2 OK add -98 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:33:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 793/x = -850 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:33:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 793 = -850x strategic 1 OK divide -850 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:34:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 152 = -56/x+(-890) strategic 1 OK subtract -890 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 1042 = -56/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:34:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 1042x = -56 strategic 1 OK divide 1042 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:34:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60) = -3 strategic 1 OK subtract -60 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60)-(-60) = -3-(-60) right 1 OK right 57 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:36:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60)-(-60) = 57 left 1 ERROR left 34x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:36:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60)-(-60) = 57 left 2 ERROR left -34x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:36:50.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60)-(-60) = 57 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:36:54.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in 34/x+(-60)-(-60) on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x+(-60)-(-60) = 57 left 3 OK left 34/x+-60--60 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:37:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x-60+60 = 57 strategic 1 BUG multiply 60 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x-60+60 = 57 strategic 2 OK clt 34/x-60+60 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x-60+60 = 57 strategic 3 BUG multiply -60 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x-60+60 = 57 strategic 4 OK clt 34/x-60+60 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 constant terms2R1 strategic 1 OK +60 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 1/x1R1 strategic 1 OK 34/x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 constant terms1R1 strategic 1 OK -60 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:38:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 1/xR2 strategic 1 OK 34/x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK 34/x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x = 57 strategic 1 ERROR divide 34 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x = 57 strategic 2 BUG multiply 57 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x = 57 strategic 3 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x*x = 57x right 1 OK right 57x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:40:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/x*x = 57x left 1 OK left 34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:40:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34 = 57x strategic 1 OK divide 57 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:40:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/57 = 57x/57 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:40:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/57 = x left 1 ERROR left 0.5924 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:41:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 34/57 = x left 2 OK left 0.5964 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:41:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -147 = -230+663/y strategic 1 BUG add -230 To remove -230 from the right side, you can add a positive to it. Erase your last step and add 230 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:41:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -147 = -230+663/y strategic 2 OK subtract -230 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -147-(-230) = -230+663/y-(-230) left 1 OK left 83 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = -230+663/y-(-230) right 1 OK right -230+663/y--230 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = -230+663/y+230 strategic 1 OK clt -230+663/y+230 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1/y1R1 strategic 1 OK +663/y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant terms2R1 strategic 1 OK +230 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant terms1R1 strategic 1 OK -230 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:42:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1/yR2 strategic 1 ERROR 663 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1/yR2 strategic 2 OK 663/y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 663/y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = 663/y strategic 1 BUG multiply 83 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = 663/y strategic 2 ERROR multiply 663/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = 663/y strategic 3 BUG multiply 663 To remove 663/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 663/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83 = 663/y strategic 4 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83y = 663/y*y left 1 OK left 83y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:43:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83y = 663/y*y right 1 OK right 663 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:44:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83y = 663 strategic 1 OK divide 83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:44:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 83y/83 = 663/83 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:44:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 663/83 right 1 OK right 7.987 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:44:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 30 = 463+675/y strategic 1 OK subtract 463 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:44:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 30-463 = 463+675/y-463 left 1 OK left -433 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433 = 463+675/y-463 right 1 OK right 463+675/y-463 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433 = 463+675/y-463 strategic 1 OK clt 463+675/y-463 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1/y1R1 strategic 1 OK +675/y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant terms2R1 strategic 1 OK -463 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant terms1R1 strategic 1 OK 463 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1/yR2 strategic 1 OK 675/y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 675/y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433 = 675/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433y = 675/y*y left 1 OK left -433y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433y = 675/y*y right 1 OK right 675 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:45:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433y = 675 strategic 1 OK divide -433 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:46:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -433y/-433 = 675/-433 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:46:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 675/-433 right 1 BUG right 1.5588 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session0 2007-04-17 12:46:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 675/-433 right 2 OK right -1.5588 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:02:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -1y+0 = 3y+3 strategic 1 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:02:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -y = 3y+3 strategic 1 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:02:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = 3 strategic 1 ERROR clt -4y = 3 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:02:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = 3 strategic 2 BUG divide -4y Dividing anything by itself will leave 1. If you divide -4y by -4, y will be left. Erase your last step and then divide by -4. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:03:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = 3 strategic 3 ERROR clt -4y = 3 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:03:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = 3 strategic 4 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:04:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y+(-4) = 9y+5 strategic 1 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:04:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y-9 = 9y strategic 1 BUG subtract 9 Since -9 is negative, you should add to remove it from the both side. Erase your last step and add 9 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:05:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y-9 = 9y strategic 2 ERROR subtract -9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:06:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y-9 = 9y strategic 3 OK subtract -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:06:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9 = 12y strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:06:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3+(-6y) = 7+(-10y) strategic 1 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:06:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 1 ERROR subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:07:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 2 OK subtract -10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:07:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 3 ERROR subtract -10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 4 OK subtract -10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:07:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+4y = 0 strategic 1 ERROR clt -10+4y = 0 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:08:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+4y = 0 strategic 2 ERROR divide -10+4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 5 ERROR subtract 6 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 6 ERROR subtract -10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:08:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 7 OK subtract -10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:10:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+4y = 0 strategic 3 ERROR divide -6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:10:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+4y = 0 strategic 4 ERROR multiply -6y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:10:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+4y = 0 strategic 5 ERROR clt -10+4y = 0 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:11:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3+(-6y) = 7+(-10y) strategic 2 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:13:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10-6y = -10y strategic 8 OK subtract -10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:14:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3+(-6y) = 7+(-10y) strategic 3 OK rds -3+(-6y) = 7+(-10y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:15:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3-6y = 7-10y strategic 1 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:15:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 10-10y strategic 1 OK add 10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:15:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4y = 10 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:16:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x+(-2) = -7x+(-2) strategic 1 ERROR clt 9x+(-2) = -7x+(-2) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:16:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x+(-2) = -7x+(-2) strategic 2 OK rds 9x+(-2) = -7x+(-2) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:16:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x-2 = -7x-2 strategic 1 OK add 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:17:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -7x strategic 1 ERROR add 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:17:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -7x strategic 2 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:17:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -7x strategic 3 ERROR add -7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:18:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -7x strategic 4 ERROR add 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:19:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -7x strategic 5 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:19:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 16x = 0 strategic 1 OK divide 16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:19:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+3 = -7+9x strategic 1 ERROR rds -3x+3 = -7+9x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:19:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+3 = -7+9x strategic 2 OK subtract 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:20:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -10+9x strategic 1 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:20:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -12x = -10 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:20:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-9) = 2y+7 strategic 1 OK rds -2y+(-9) = 2y+7 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:20:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-9 = 2y+7 strategic 1 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:20:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-16 = 2y strategic 1 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:21:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-16 = 2y strategic 2 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:21:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-9) = 2y+7 strategic 2 OK rds -2y+(-9) = 2y+7 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:22:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-9 = 2y+7 strategic 2 ERROR add 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:22:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-9) = 2y+7 strategic 3 OK rds -2y+(-9) = 2y+7 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:22:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-9 = 2y+7 strategic 3 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:22:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-9) = 2y+7 strategic 4 OK rds -2y+(-9) = 2y+7 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:23:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y-9 = 2y+7 strategic 4 OK add 9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:23:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = 2y+16 strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:23:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = 2y+16 strategic 2 OK add -2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y = 16 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x+(-3) = -8x+3 strategic 1 OK rds -5x+(-3) = -8x+3 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x-3 = -8x+3 strategic 1 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -8x+6 strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -8x+6 strategic 2 ERROR add -5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:24:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -8x+6 strategic 3 ERROR add -8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:25:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -8x+6 strategic 4 ERROR add 6 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -8x+6 strategic 5 OK add 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:25:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = 6 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:26:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y+4 = -9y+5 strategic 1 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:26:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = -9y+1 strategic 1 ERROR subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:26:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = -9y+1 strategic 2 OK subtract -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:26:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14y = 1 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:26:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+(-2) = -5x+(-3) strategic 1 OK rds 4x+(-2) = -5x+(-3) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x-2 = -5x-3 strategic 1 OK add 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = -5x-1 strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:27:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = -1 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:27:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+8x = 9+(-7x) strategic 1 OK rds -2+8x = 9+(-7x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+8x = 9-7x strategic 1 ERROR add 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+8x = 9-7x strategic 2 OK add 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8x = 11-7x strategic 1 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 15x = 11 strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+4x = 8x+4 strategic 1 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+4x = 8x strategic 1 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:28:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5 = 4x strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+(-3x) = 2x+(-7) strategic 1 ERROR distribute 7+(-3x) = 2x+(-7) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+(-3x) = 2x+(-7) strategic 2 OK rds 7+(-3x) = 2x+(-7) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7-3x = 2x-7 strategic 1 ERROR add 3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7-3x = 2x-7 strategic 2 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 2x-14 strategic 1 ERROR add 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 2x-14 strategic 2 ERROR subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 2x-14 strategic 3 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:29:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 2x-14 strategic 4 ERROR subtract -2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+(-3x) = 2x+(-7) strategic 3 OK rds 7+(-3x) = 2x+(-7) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7-3x = 2x-7 strategic 3 OK add 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14-3x = 2x strategic 1 OK add 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14 = 5x strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9y+0 = 10+(-5y) strategic 1 OK rds -9y+0 = 10+(-5y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9y+0 = 10-5y strategic 1 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:30:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9y+0 = 10-5y strategic 2 BUG subtract -9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9y+0 = 10-5y strategic 3 OK clt -9y+0 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9y = 10-5y strategic 1 OK add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y = 10 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+(-6y) = 5+1y strategic 1 OK rds -2+(-6y) = 5+1y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 1 ERROR clt -2-6y = 5+1y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 2 BUG add 6 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:31:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 3 OK mt 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+y strategic 1 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:32:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 4 OK mt 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:32:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+y strategic 2 ERROR add -6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+y strategic 3 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2 = 5+7y strategic 1 ERROR add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:33:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+(-6y) = 5+1y strategic 2 OK rds -2+(-6y) = 5+1y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:33:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 5 OK mt 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:35:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+(-6y) = 5+1y strategic 3 OK rds -2+(-6y) = 5+1y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:35:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 6 OK mt 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:36:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2-6y = 5+1y strategic 7 OK add 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:36:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 7+y strategic 1 OK subtract y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:36:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = 7 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:37:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -4y+4 strategic 1 BUG add 6 Since 6 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:37:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -4y+4 strategic 2 OK subtract 6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:37:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6-6 = -4y+4-6 left 1 OK left -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -4y+4-6 right 1 OK right -4y-2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:39:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -4y-2 strategic 1 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:39:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -4y-2 strategic 2 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:39:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -4y-2 strategic 3 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:39:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+4y = -4y-2+4y left 1 OK left 2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:40:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -4y-2+4y right 1 OK right -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:40:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -2 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:40:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y/2 = -2/2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:40:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -2/2 right 1 OK right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:42:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+1x = -3+(-9x) strategic 1 OK rds -7+1x = -3+(-9x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:42:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+1x = -3-9x strategic 1 OK add 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:42:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+1x+7 = -3-9x+7 left 1 OK left 1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:43:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = -3-9x+7 right 1 ERROR right 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = -3-9x+7 right 2 ERROR right 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:44:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = -3-9x+7 right 3 OK right 4-9x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session1 2007-04-19 12:44:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 4-9x strategic 1 OK unnec-elems 1x=4-9x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:00:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 1 ERROR divide x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:01:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 2 ERROR clt x = 4-9x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:07:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 1 ERROR rds x = 4-9x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:07:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 2 ERROR rf x = 4-9x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:13:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 3 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:13:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4-9x strategic 4 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:13:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+9x = 4-9x+9x left 1 BUG left x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:13:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+9x = 4-9x+9x left 2 ERROR left 9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:13:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+9x = 4-9x+9x left 3 OK left 10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:14:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 4-9x+9x right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:14:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 4 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:14:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x/10 = 4/10 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:14:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4/10 right 1 OK right 0.4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:14:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 0.4 strategic 1 BUG divide x You already solved the equation. x is 0.4. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:15:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-9x) = 7x+(-6) strategic 1 OK rds 3+(-9x) = 7x+(-6) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:15:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-9x = 7x-6 strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:15:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-9x = 7x-6 strategic 2 ERROR add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:15:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-9x = 7x-6 strategic 3 OK subtract 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:16:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3-9x-3 = 7x-6-3 left 1 OK left -9x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:16:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-6-3 right 1 ERROR right -2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-6-3 right 2 BUG right 7x-3 7x-3 is equal to 7x-6 plus 3. You need to calculate 7x-6 minus 3. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-6-3 right 3 OK right 7x-6-3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-6-3 strategic 1 OK clt 7x-6-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK 7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:17:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR -3 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 ERROR 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 ERROR -3 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 ERROR 3 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 5 INITIAL_HINT 3 Simplify the expression [-6]+[-3]. HINT 1 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 6 OK -9 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:18:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 7x+-9 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:19:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-9 strategic 1 ERROR add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:19:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-9 strategic 2 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:19:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x+9x = 7x-9+9x left 1 ERROR left 9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:19:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x+9x = 7x-9+9x left 2 BUG left -18x -18x is equal to -9x minus 9x. You need to calculate -9x plus 9x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-6-3 strategic 2 OK clt 7x-6-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK 7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 OK 7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 7 OK -9 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 7x+-9 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:20:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-9 strategic 3 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:21:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-9 strategic 4 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:21:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-9 strategic 5 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:21:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = 7x-9-7x left 1 OK left -16x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:22:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x = 7x-9-7x right 1 OK right -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:22:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x = -9 strategic 1 OK divide -16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:22:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x/-16 = -9/-16 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:22:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -9/-16 right 1 OK right 0.5625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:22:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x = 5+(-3x) strategic 1 OK rds 10+9x = 5+(-3x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:23:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x = 5-3x strategic 1 ERROR subtract 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x = 5-3x strategic 2 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:23:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x-9x = 5-3x-9x left 1 ERROR left 10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:23:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x-9x = 5-3x-9x left 2 ERROR left -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:23:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+9x-9x = 5-3x-9x left 3 OK left 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10 = 5-3x-9x right 1 OK right 5-3x-9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10 = 5-3x-9x strategic 1 OK clt 5-3x-9x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG  3x Be sure to select both the term and the negative sign in front of it. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 OK -9x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK -12x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:24:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:25:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -12x+5 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:25:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10 = -12x+5 strategic 1 ERROR subtract -12 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:25:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10 = -12x+5 strategic 2 OK subtract -12x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:26:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10 = -12x+5 strategic 3 OK add 12x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:26:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = -12x+5+12x left 1 ERROR left 22 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = -12x+5+12x left 2 ERROR left 22x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:26:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = -12x+5+12x left 3 OK left 10+12x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:26:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = -12x+5+12x right 1 OK right 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = 5 strategic 1 ERROR subtract 12x condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = 5 strategic 2 BUG add 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:28:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = 5 strategic 3 BUG add 10 Since 10 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 10 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x = 5 strategic 4 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x-10 = 5-10 right 1 BUG right 5 You need to calculate 5 minus 10, not 10 minus 5. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x-10 = 5-10 right 2 OK right -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10+12x-10 = -5 left 1 OK left 12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x = -5 strategic 1 BUG divide 12x Dividing anything by itself will leave 1. If you divide 12x by 12, x will be left. Erase your last step and then divide by 12. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:29:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x = -5 strategic 2 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:30:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x/12 = -5/12 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -5/12 right 1 BUG right 0.416666 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -5/12 right 2 BUG right 0.4167 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:30:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -5/12 right 3 OK right -0.4167 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:30:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x = 10x+(-1) strategic 1 OK rds -1+9x = 10x+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:31:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x = 10x-1 strategic 1 ERROR add 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x = 10x-1 strategic 2 ERROR add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x = 10x-1 strategic 3 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:31:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x-9x = 10x-1-9x left 1 ERROR left -1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:31:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9x-9x = 10x-1-9x left 2 OK left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:32:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 10x-1-9x right 1 OK right 1x-1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:32:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 1x-1 strategic 1 OK unnec-elems -1=1x-1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:32:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = x-1 strategic 1 ERROR clt -1 = x-1 strategic condition 2 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = x-1 strategic 2 OK add 1 condition 2 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+1 = x-1+1 left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = x-1+1 right 1 ERROR right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = x-1+1 right 2 OK right 1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 1x strategic 1 OK unnec-elems 0=1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:33:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+(-10) = 4+(-2y) strategic 1 OK rds 2y+(-10) = 4+(-2y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:34:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-10 = 4-2y strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:34:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-10+2y = 4-2y+2y left 1 ERROR left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-10+2y = 4-2y+2y left 2 ERROR left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:34:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-10+2y = 4-2y+2y left 3 ERROR left -6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:35:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-10+2y = 4-2y+2y left 4 OK left 4y-10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4-2y+2y right 1 ERROR right 6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4-2y+2y right 2 ERROR right 4+2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4-2y+2y right 3 OK right 4-2y+2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4-2y+2y strategic 1 OK clt 4-2y+2y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:36:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 ERROR y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:37:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:37:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 0+4 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 0+4 strategic 1 OK unnec-elems 4y-10=0+4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4 strategic 1 BUG add 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4 strategic 2 ERROR add 4y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4 strategic 3 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10+10 = 4+10 left 1 OK left 4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4+10 right 1 ERROR right 40 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4+10 right 2 OK right 4+10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4+10 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:38:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = (4+10)/4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:39:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (4+10)/4 right 1 ERROR right 10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:40:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4 strategic 4 BUG subtract 10 Since -10 is negative, you should add to remove it from the left side. Erase your last step and add 10 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:40:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10 = 4 strategic 5 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:40:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-10+10 = 4+10 left 2 OK left 4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:40:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4+10 right 3 OK right 4+10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:40:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4+10 strategic 2 OK clt 4+10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR 40 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 14 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 14 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = 14/4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 14/4 right 1 OK right 3.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-1x) = -7x+10 strategic 1 OK rds -8+(-1x) = -7x+10 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:41:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-1x = -7x+10 strategic 1 BUG add 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:42:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-1x = -7x+10 strategic 2 OK add 1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:42:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-1x+x = -7x+10+x left 1 OK left -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:43:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8 = -7x+10+x right 1 ERROR right -7+10+x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:43:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8 = -7x+10+x right 2 ERROR right -7+10+1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I D49Uk8t session2 2007-04-24 12:43:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8 = -7x+10+x right 3 ERROR right 4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I DWi4Ume session0 2007-04-17 13:52:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 3.572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 13:52:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 13:54:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 50y+(-7) = 40 strategic 1 OK answer-check 47/50 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 13:56:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A 7.79y+(-1.67) = 13.11 strategic 1 OK answer-check 1.8973 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:00:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7620y+2045 = 5320 strategic 1 ERROR answer-check 4.3092 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:02:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7620y+2045 = 5320 strategic 2 OK answer-check 0.4298 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:04:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -7.95 = 3.54+12.98x strategic 1 ERROR answer-check 0.8852 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:06:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -7.95 = 3.54+12.98x strategic 2 OK answer-check -0.8852 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:07:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -84y+10 = 2 strategic 1 OK answer-check 0.0952 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:14:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.21 = -10.1y+10.18 strategic 1 ERROR answer-check -0.3901 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:16:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.21 = -10.1y+10.18 strategic 2 OK answer-check -0.3991 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:21:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -29 = 84x+51 strategic 1 ERROR answer-check 0.9524 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:21:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -29 = 84x+51 strategic 2 OK answer-check -0.9524 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:23:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 58.36 = -49.48y+16.4 strategic 1 ERROR answer-check -0.8426 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:25:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 58.36 = -49.48y+16.4 strategic 2 OK answer-check -0.8480 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:26:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 10 = 75+97x strategic 1 ERROR answer-check -1.3829 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:26:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 10 = 75+97x strategic 2 ERROR answer-check -1.3830 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:27:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 10 = 75+97x strategic 3 OK answer-check -0.670 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:29:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -5.8 = -6.37x+14.44 strategic 1 OK answer-check 3.1774 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:30:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 97x+93 = 26 strategic 1 OK answer-check -0.6907 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session0 2007-04-17 14:31:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.98+12x = 5.99 strategic 1 ERROR answer-check 1.665 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 13:49:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -13.98+12x = 5.99 strategic 1 OK answer-check 1.6642 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 13:53:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -11.04y+(-13.15) = 9.42 strategic 1 OK answer-check -2.0444 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 13:55:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 94 = -13y+(-14) strategic 1 OK answer-check -8.3077 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 13:57:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -54 = -15y+42 strategic 1 OK answer-check 6.4 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:00:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 1.96 = -12.6+2.07x strategic 1 OK answer-check 7.0338 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:03:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 3258 = 4034+2940x strategic 1 ERROR answer-check -0.2672 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:04:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 3258 = 4034+2940x strategic 2 OK answer-check -0.2639 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:07:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -14.46y+(-71.4) = 25.97 strategic 1 OK answer-check -6.7337 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:09:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A 5.91+6.95y = -3.74 strategic 1 OK answer-check -1.3885 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:11:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 89 = 40/y+23 strategic 1 OK answer-check 20/33 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:13:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 147 = 716+821/y strategic 1 ERROR answer-check 1.4429 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:15:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 147 = 716+821/y strategic 2 OK answer-check -1.4429 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:17:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70/x+39 = -1 strategic 1 ERROR answer-check -1.75 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:20:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -70/x+39 = -1 strategic 2 OK answer-check 1.75 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:23:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -86 = -80/y+40 strategic 1 ERROR answer-check 0.8889 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:24:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -86 = -80/y+40 strategic 2 ERROR answer-check -0.8889 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:28:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -86 = -80/y+40 strategic 3 OK answer-check 0.6349 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:30:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 69/y+86 = 65 strategic 1 OK answer-check -3.2857 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:32:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -540 = -447/y+(-450) strategic 1 ERROR answer-check -4.966 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session1 2007-04-24 14:32:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -540 = -447/y+(-450) strategic 2 ERROR answer-check -4.9667 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:44:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -540 = -447/y+(-450) strategic 1 ERROR answer-check 0.2013 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:45:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -540 = -447/y+(-450) strategic 2 OK answer-check 4.9667 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:47:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 35+(-73/x) = 46 strategic 1 ERROR answer-check 0.9012 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:47:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 35+(-73/x) = 46 strategic 2 ERROR answer-check 56521 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:47:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 35+(-73/x) = 46 strategic 3 ERROR answer-check 2657 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:48:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 35+(-73/x) = 46 strategic 4 OK answer-check -6.6364 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:50:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -406 = -86+157/x strategic 1 OK answer-check -0.4906 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:51:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 15+41/x = 61 strategic 1 OK answer-check 0.8913 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:53:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 788 = 162+(-698/y) strategic 1 OK answer-check -1.1150 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:54:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -11/x+69 = 60 strategic 1 OK answer-check 1.2222 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:56:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -414 = 709+(-272/y) strategic 1 ERROR answer-check -0.2422 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:56:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -414 = 709+(-272/y) strategic 2 ERROR answer-check 21545 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:56:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -414 = 709+(-272/y) strategic 3 ERROR answer-check 26456 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:57:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -414 = 709+(-272/y) strategic 4 OK answer-check 0.2422 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 13:59:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -59 = 9+(-6/x) strategic 1 OK answer-check 0.0882 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:00:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 929 = 640/y+(-618) strategic 1 OK answer-check 0.4137 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:06:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 6+7y = -4+(-4y) strategic 1 OK answer-check -0.9091 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:08:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+2y = -7y+(-5) strategic 1 OK answer-check 0.1111 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:10:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 7+5x = -1+(-9x) strategic 1 OK answer-check -0.5714 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:13:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 5x+7 = 0+7x strategic 1 OK answer-check 3.5 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:15:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -4+(-7x) = 9+(-4x) strategic 1 OK answer-check -4.3333 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:17:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -6x+(-5) = -3x+9 strategic 1 OK answer-check -4.6667 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:18:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -1y+5 = 9y+6 strategic 1 OK answer-check -0.1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:20:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7a EG61 -8.31x+1.67 = 2.53+(-4.97x) strategic 1 OK answer-check -0.2575 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:23:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 9.05+(-4.02y) = -7.57+2.3y strategic 1 OK answer-check 2.6297 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:25:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -0.9+9.41y = -2.49+9.67y strategic 1 ERROR answer-check 0.1154 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:26:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -0.9+9.41y = -2.49+9.67y strategic 2 OK answer-check 6.1154 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:29:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 9.62+2.29y = 9.9+(-2.19y) strategic 1 OK answer-check 0.0625 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I DWi4Ume session2 2007-04-26 14:32:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 9.99+0.68y = -9.9y+(-2.77) strategic 1 ERROR answer-check -5.7652 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I E2c6E5k session0 2007-04-27 08:25:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 BUG add -4613 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:25:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:25:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:25:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 60.79 = 9.64+83.51y strategic 1 OK subtract 9.64 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:25:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 51.15 = 83.51y strategic 1 OK divide 83.51 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:25:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 4593x+4875 = -8532 strategic 1 OK subtract 4875 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:26:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 4593x = -13407 strategic 1 OK divide 4593 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:26:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3348+415y = 8352 strategic 1 OK subtract 3348 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 415y = 5004 strategic 1 OK divide 415 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:27:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -9.98+(-65.58x) = 50.3 strategic 1 OK subtract -9.98 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -65.58x = 60.28 strategic 1 OK divide -65.58 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:27:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -2.42+3.28y = 12.68 strategic 1 OK subtract -2.42 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:27:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 3.28y = 15.1 strategic 1 OK divide 3.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:27:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81+(-74.9x) strategic 1 OK subtract 39.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:02.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81+(-74.9x) strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:03.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81+(-74.9x) strategic 3 OK rds 12.86 = 39.81+(-74.9x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 1 BUG add 39.81 Since 39.81 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 39.81 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 2 BUG add 12.86 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 3 BUG add 39.81 Since 39.81 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 39.81 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:52.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:53.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 2 HINT_LEVEL_CHANGE 39.81 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 39.81 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:28:56.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 3 HINT_LEVEL_CHANGE You can subtract 39.81 from both sides of the equation to eliminate the constant value of 39.81 (39.81 - 39.81 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:29:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 5 BUG add 12.86 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 6 OK subtract 39.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:29:44.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 7 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:29:45.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 4 HINT_LEVEL_CHANGE 39.81 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 39.81 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:29:48.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 5 HINT_LEVEL_CHANGE You can subtract 39.81 from both sides of the equation to eliminate the constant value of 39.81 (39.81 - 39.81 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:30:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86 = 39.81-74.9x strategic 8 OK subtract 39.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:30:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 12.86-39.81 = 39.81-74.9x-39.81 left 1 OK left -26.95 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:31:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -26.95 = 39.81-74.9x-39.81 right 1 OK right -74.9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:31:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -26.95 = -74.9x strategic 1 OK divide -74.9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -74.9x/-74.9 = -26.95/-74.9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:32:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -26.95/-74.9 right 1 ERROR right 2.777 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -26.95/-74.9 right 2 OK right 0.35981 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54+(-41y) = -61 strategic 1 OK subtract -54 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54+(-41y)-(-54) = -61-(-54) left 1 ERROR left 13y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:46.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 -54+(-41y)-(-54) = -61-(-54) strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:47.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 1 HINT_LEVEL_CHANGE Type in -54+(-41y)-(-54) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:33:59.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 -54+(-41y) = -61 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:00.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54+(-41y) = -61 strategic 3 OK rds -54+(-41y) = -61 strategic condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54-41y = -61 strategic 1 BUG add -54 To remove -54 from the left side, you can add a positive to it. Erase your last step and add 54 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:18.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 -54-41y = -61 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:19.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 3 HINT_LEVEL_CHANGE -54 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -54 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:23.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 4 HINT_LEVEL_CHANGE You can add 54 to both sides of the equation to eliminate the constant value of -54 (-54 + 54 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54-41y = -61 strategic 3 OK add 54 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54-41y+54 = -61+54 left 1 BUG left 41y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:34:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -54-41y+54 = -61+54 left 2 OK left -41y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 right 1 ERROR right 115 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 right 2 BUG right -115 -115 is equal to -61 minus 54. You need to calculate -61 plus 54. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 right 3 OK right -61+54 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 strategic 1 BUG subtract 54 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:46.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:47.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -61+54 strategic 3 OK clt -61+54 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:36:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 1 ERROR -115 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:36:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 2 OK -7 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:36:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y = -7 strategic 1 OK divide -41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -41y/-41 = -7/-41 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:37:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = -7/-41 right 1 OK right 0.170 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:37:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78 = 4.5x+13.4 strategic 1 OK subtract 13.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x+13.4-13.4 right 1 OK right 4.5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x left 1 OK left -0.78-13.4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x strategic 1 BUG add 13.4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x strategic 2 ERROR rds -0.78-13.4 = 4.5x strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x strategic 3 BUG add -0.78 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:50.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:52.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:38:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -0.78-13.4 = 4.5x strategic 5 OK clt -0.78-13.4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:39:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C FinalAnswer strategic 1 ERROR -12.62 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:40:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C FinalAnswer strategic 2 ERROR 12.62 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:43:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C FinalAnswer strategic 3 OK -14.18 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:43:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -14.18 = 4.5x strategic 1 OK divide 4.5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:43:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 4.5x/4.5 = -14.18/4.5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:44:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C x = -14.18/4.5 right 1 OK right -3.1511 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:44:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520 = 37y+(-1670) strategic 1 BUG subtract 9520 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520 = 37y+(-1670) strategic 2 OK subtract -1670 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:44:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520-(-1670) = 37y+(-1670)-(-1670) right 1 OK right 37y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:44:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520-(-1670) = 37y left 1 BUG left 9520 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:45:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520-(-1670) = 37y left 2 OK left 9520-(-1670) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:45:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9520+1670 = 37y strategic 1 OK clt 9520+1670 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:45:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A FinalAnswer strategic 1 OK 11190 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:45:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 11190 = 37y strategic 1 OK divide 37 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:45:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 37y/37 = 11190/37 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:46:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = 11190/37 right 1 ERROR right 0.0333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:46:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = 11190/37 right 2 OK right 302.432 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:47:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -10/y+(-6) = 89 strategic 1 BUG subtract 89 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:47:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -10/y+(-6) = 89 strategic 2 OK subtract -6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:47:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -10/y = 95 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:47:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -10 = 95y strategic 1 OK divide 95 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -219 = 465/y+664 strategic 1 OK subtract 664 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -883 = 465/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -883y = 465 strategic 1 OK divide -883 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -51/y+13 = 16 strategic 1 OK subtract 13 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -51/y = 3 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:48:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -51 = 3y strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:49:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -313+(-882/x) = -129 strategic 1 OK subtract -313 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:49:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -882/x = 184 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:49:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -882 = 184x strategic 1 OK divide 184 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:50:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 756 = -515+(-804/y) strategic 1 OK subtract -515 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:50:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 756-(-515) = -515+(-804/y)-(-515) left 1 OK left 756-(-515) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:50:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 756+515 = -515+(-804/y)-(-515) right 1 OK right (-804/y) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:51:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 756+515 = -804/y strategic 1 OK clt 756+515 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:51:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 1271 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:52:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1271 = -804/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:52:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1271y = -804/y*y left 1 OK left 1271y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:52:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1271y = -804/y*y right 1 OK right -804 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:52:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1271y = -804 strategic 1 OK divide 1271 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:52:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 1271y/1271 = -804/1271 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:53:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -804/1271 right 1 ERROR right 1.5808 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:53:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -804/1271 right 2 BUG right -1.5808 You need to calculate -804 divided by 1271, not 1271 divided by -804. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:53:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -804/1271 right 3 ERROR right 317.75 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:54:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -804/1271 right 4 OK right -0.632 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:54:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19 = -34/y+66 strategic 1 OK subtract 66 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:55:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19-66 = -34/y+66-66 left 1 OK left -19-66 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:55:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19-66 = -34/y+66-66 right 1 OK right -34/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:55:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19-66 = -34/y strategic 1 OK clt -19-66 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:55:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK -85 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85 = -34/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85y = -34/y*y left 1 OK left -85y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85y = -34/y*y right 1 OK right -34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85y = -34 strategic 1 OK divide -85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -85y/-85 = -34/-85 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:56:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -34/-85 right 1 ERROR right 51 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:57:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -34/-85 right 2 ERROR right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:57:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -34/-85 right 3 OK right 0.4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:58:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -24 = 3+(-16/y) strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:58:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -24-3 = 3+(-16/y)-3 left 1 OK left -24-3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:58:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -24-3 = 3+(-16/y)-3 right 1 ERROR right -16 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:58:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -24-3 = 3+(-16/y)-3 right 2 OK right -16/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:58:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -24-3 = -16/y strategic 1 OK clt -24-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:59:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 ERROR -21 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:59:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 2 ERROR 21 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 08:59:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 3 OK -27 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:00:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -27 = -16/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:00:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -27y = -16/y*y left 1 OK left -27y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:00:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -27y = -16/y*y right 1 OK right -16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:00:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -27y = -16 strategic 1 OK divide -27 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:00:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -27y/-27 = -16/-27 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = -16/-27 right 1 OK right 0.592 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 5+(-4x) = 7+3x strategic 1 OK subtract 5 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4x = 2+3x strategic 1 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4x = 2+3x strategic 2 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4x = 2+3x strategic 3 OK subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:01:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7x = 2 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9+(-4x) = -2+(-1x) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = -11-x strategic 1 ERROR add 11 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = -11-x strategic 2 OK add x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -11 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+9x = 1x+8 strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = x+1 strategic 1 ERROR subtract 1 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = x+1 strategic 2 ERROR add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = x+1 strategic 3 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8x = 1 strategic 1 BUG divide 8x Dividing anything by itself will leave 1. If you divide 8x by 8, x will be left. Erase your last step and then divide by 8. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8x = 1 strategic 2 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7+3x = -9+6x strategic 1 OK subtract -7 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:03:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = -2+6x strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:04:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = -2 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:04:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+(-1y) = -1+7y strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:04:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = -8+7y strategic 1 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:04:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y = -8 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y+1 = 3y+(-5) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:05:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = 3y-6 strategic 1 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:06:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+3y = 4+(-6y) strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:06:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+3y-(-2) = 4+(-6y)-(-2) left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:06:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4+(-6y)-(-2) right 1 OK right 4+(-6y)-(-2) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:07:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4-6y+2 strategic 1 BUG subtract 6y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:07:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4-6y+2 strategic 2 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:08:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4-6y+2 strategic 3 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:08:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4-6y+2-3y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:08:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4-6y+2-3y left 2 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:08:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 4-6y+2-3y right 1 OK right 4-6y+2-3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:09:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 4-6y+2-3y strategic 1 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:09:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 4-6y+2-3y strategic 2 OK clt 4-6y+2-3y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:09:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:09:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:09:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG  6y  6y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  6y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK 4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK -6y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 BUG +2 +2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 OK -3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 ERROR 3y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 ERROR -3y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:10:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR 8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:11:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 4-6y+2-3y strategic 3 OK clt 4-6y+2-3y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:11:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:11:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 5 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 OK 4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 6 OK -6y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 OK +2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 3 OK -3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 ERROR -9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK -9y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:12:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -9y+6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -9y+6 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-6 = -9y+6-6 left 1 OK left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6 = -9y+6-6 right 1 OK right -9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6 = -9y strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:13:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y/-9 = -6/-9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:14:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -6/-9 right 1 OK right 0.666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:14:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = 0.66666667 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:14:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:16:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+(-5) = 4y+0 strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:16:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+(-5)-0 = 4y+0-0 right 1 OK right 4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:16:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+(-5)-0 = 4y left 1 OK left -5y+(-5)-0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:16:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-0 = 4y strategic 1 OK unnec-elems -5y-5-0=4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:17:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5 = 4y strategic 1 ERROR add 5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:17:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5 = 4y strategic 2 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:18:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 4y-4y right 1 ERROR right y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:18:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 4y-4y right 2 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:18:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 0 left 1 OK left -5y-5-4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:19:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5 = 4y strategic 3 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:19:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 4y-4y right 3 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:19:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 0 left 2 ERROR left -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:20:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-5-4y = 0 left 3 OK left -9y-5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:20:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = 0 strategic 1 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:20:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5+5 = 0+5 left 1 OK left -9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:20:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y = 0+5 right 1 OK right 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:20:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y = 5 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:21:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y/-9 = 5/-9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:21:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 5/-9 right 1 BUG right -1.8 You need to calculate 5 divided by -9, not -9 divided by 5. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:22:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 5/-9 right 2 ERROR right 1.8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:22:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 5/-9 right 3 OK right -0.5555 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:23:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+4y = 4y+(-7) strategic 1 BUG add -10 To remove -10 from the left side, you can add a positive to it. Erase your last step and add 10 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:24:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+4y = 4y+(-7) strategic 2 OK subtract -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:24:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+4y-(-10) = 4y+(-7)-(-10) left 1 OK left 4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:24:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+(-7)-(-10) right 1 BUG right 4y+(-7)-10 4y+[-7]-10 is equal to 4y+[-7] plus -10. You need to calculate 4y+[-7] minus -10. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:24:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+(-7)-(-10) right 2 BUG right 4y+(-7)-(10) 4y+[-7]-(10) is equal to 4y+[-7] plus -10. You need to calculate 4y+[-7] minus -10. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:25:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+(-7)-(-10) right 3 OK right 4y+3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:25:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+3 strategic 1 ERROR subtract 3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:25:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+3 strategic 2 ERROR add 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:25:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+3 strategic 3 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:25:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-4y = 4y+3-4y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:26:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y-4y = 4y+3-4y left 2 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:26:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 4y+3-4y right 1 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:28:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-3x) = 2x+(-3) strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:28:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-3x)-(-2) = 2x+(-3)-(-2) left 1 ERROR left -2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:28:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-3x)-(-2) = 2x+(-3)-(-2) left 2 BUG left -2+-3x You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:29:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-3x)-(-2) = 2x+(-3)-(-2) left 3 BUG left -2+(-3x) You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+(-3x)-(-2) = 2x+(-3)-(-2) left 4 OK left -3x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x+(-3)-(-2) right 1 OK right 2x+(-3)-(-2) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:31:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-3+2 strategic 1 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:31:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-3+2 strategic 2 BUG add -3 To remove -3 from the right side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-3+2 strategic 3 OK clt 2x-3+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK 2x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 BUG 2x 2x
Perhaps you should fill in all the x terms above. BUG condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 2x+-1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:32:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-1 strategic 1 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:33:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x-2x = 2x-1-2x left 1 BUG left 1x 1x is equal to 3x minus 2x. You need to calculate -3x minus 2x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-1 strategic 2 ERROR add 1 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-1 strategic 3 BUG add -1 To remove -1 from the right side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:34:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 2x-1 strategic 4 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x-2x = 2x-1-2x left 2 OK left -5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 2x-1-2x right 1 BUG right 1 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 2x-1-2x right 2 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = -1 strategic 1 BUG divide -5x Dividing anything by itself will leave 1. If you divide -5x by -5, x will be left. Erase your last step and then divide by -5. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = -1 strategic 2 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:35:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x/-5 = -1/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session0 2007-04-27 09:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/-5 right 1 OK right 0.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:26:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+7x = 1+8x strategic 1 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:26:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+7x+3 = 1+8x+3 left 1 OK left 7x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:27:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 1+8x+3 right 1 ERROR right 1+11x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:27:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 1+8x+3 right 2 ERROR right 4+4x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:27:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 1+8x+3 right 3 OK right 4+8x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:27:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 4+8x strategic 1 ERROR clt 7x = 4+8x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 4+8x strategic 2 BUG divide 7 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7x = 4+8x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:10.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 8x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 4+8x strategic 4 ERROR subtract 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 4+8x strategic 5 OK subtract 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x-8x = 4+8x-8x left 1 BUG left 7x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x-8x = 4+8x-8x left 2 BUG left 1x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x-8x = 4+8x-8x left 3 OK left -1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 4+8x-8x right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 4 strategic 1 OK divide -1 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x/-1 = 4/-1 left 1 OK left x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:28:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4/-1 right 1 BUG right 4 You are dividing a positive by a negative. The result should be negative. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:29:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 4/-1 right 2 OK right -4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y+2 = -5+(-4y) strategic 1 BUG subtract 1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:29:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y+2 = -5+(-4y) strategic 2 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y+2-2 = -5+(-4y)-2 left 1 OK left 1y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:30:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 1 ERROR right -3(-4y) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 2 BUG right -3-4y -3-4y is equal to -5+[-4y] plus 2. You need to calculate -5+[-4y] minus 2. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:30:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 3 ERROR right -5+-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:31:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 4 BUG right -3-4y -3-4y is equal to -5+[-4y] plus 2. You need to calculate -5+[-4y] minus 2. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:31:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 5 ERROR right 9y-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:31:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 6 ERROR right -9y-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:31:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:31:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -5+(-4y)-2 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 7 ERROR right -5+(4y)-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+(-4y)-2 right 8 OK right -5+(-4y)-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5-4y-2 strategic 1 OK unnec-elems 1y=-5-4y-2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5-4y-2 strategic 1 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5-4y-2 strategic 2 OK clt -5-4y-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -5 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 BUG -4y -4y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK -4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:33:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -5-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:33:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR -4+-5-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:33:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR -4+-7 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:33:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in -5+(-4y)-2 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5-4y-2 strategic 3 OK clt -5-4y-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -5 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 BUG  4y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK -4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK -4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK -5-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:34:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -4y+-7 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 4y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 2 ERROR add -4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 3 ERROR add -44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 4 ERROR add -4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:35:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add 4y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4y-7 strategic 6 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y+4y = -4y-7+4y left 1 BUG left y You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y+4y = -4y-7+4y left 2 ERROR left 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y+4y = -4y-7+4y left 3 ERROR left 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y+4y = -4y-7+4y left 4 BUG left 7 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y+4y = -4y-7+4y left 5 ERROR left -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-7+4y = y+4y left 1 OK left -7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:36:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y right 1 BUG right -7 Just add -4y-7 to 4y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y right 2 ERROR right -11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y right 3 ERROR right 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y right 4 ERROR right 11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:25.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in y+4y on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y right 5 OK right y+4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = y+4y strategic 3 OK clt y+4y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:37:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 ERROR 4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 ERROR 4y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 7 INITIAL_HINT y In the group above, y and 4y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 9 HINT_LEVEL_CHANGE The coefficients in [y]+[4y] are 1 and 4. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Combining the like terms y and 4y results in 5y HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 8 OK 5y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = 5y strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:38:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y/5 = -7/5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:39:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -7/5 right 1 OK right -1.4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:39:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -1.4 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:40:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-5y) = -7y+7 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:40:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-5y)-3 = -7y+7-3 left 1 OK left -5y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:41:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+7-3 right 1 ERROR right -7y-3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:41:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+7-3 right 2 ERROR right y-3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+7-3 right 3 ERROR right -4y-3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+7-3 right 4 OK right -7y+4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+4 strategic 1 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+4 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -7y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -7y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -7y+4 strategic 3 OK subtract -5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:42:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -7y+4-(-5y) left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:43:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -7y+4-(-5y) right 1 OK right -2y+4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:44:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -2y+4 left 1 BUG left -10y -10y is equal to -5y plus -5y. You need to calculate -5y minus -5y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:44:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -2y+4 left 2 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -2y+4 left 3 BUG left 10y 10y is equal to 5y minus -5y. You need to calculate -5y minus -5y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:44:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -2y+4 left 4 ERROR left 100 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:45:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y-(-5y) = -2y+4 left 5 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:45:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = -2y+4 strategic 1 OK subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:45:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4 = -2y+4-4 left 1 ERROR left -4y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:46:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4 = -2y+4-4 left 2 ERROR left y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:46:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4 = -2y+4-4 left 3 OK left 0y-4 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:46:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4 = -2y+4-4 right 1 OK right -2y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:46:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4 = -2y strategic 1 OK subtract 0y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4-0y = -2y-0y left 1 BUG left 4 4 is equal to -0y+4 minus 0y. You need to calculate 0y-4 minus 0y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y-4-0y = -2y-0y left 2 OK left -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4 = -2y-0y right 1 OK right -2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4 = -2y strategic 1 BUG divide -2y Dividing anything by itself will leave 1. If you divide -2y by -2, y will be left. Erase your last step and then divide by -2. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4 = -2y strategic 2 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y/-2 = -4/-2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4/-2 right 1 BUG right -2 The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:47:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4/-2 right 2 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:49:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+9 = 1+(-4y) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:50:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+9-9 = 1+(-4y)-9 left 1 OK left 2y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:51:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 1+(-4y)-9 right 1 OK right -4y-8 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:51:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -4y-8 strategic 1 ERROR add 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+9 = 1+(-4y) strategic 2 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+9-9 = 1+(-4y)-9 left 2 OK left 2y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 1+(-4y)-9 right 2 OK right -4y-8 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -4y-8 strategic 2 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+4y = -4y-8+4y left 1 OK left 6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y = -4y-8+4y right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y = -8 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:52:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6y/6 = -8/6 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:53:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -8/6 right 1 OK right -1.333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:54:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0+1y = -5+9y strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:54:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0+1y-0 = -5+9y-0 left 1 OK left 1y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:54:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+9y-0 right 1 OK right -5+9y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:54:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = -5+9y strategic 1 OK unnec-elems 1y=-5+9y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:54:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5+9y strategic 1 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y-9y = -5+9y-9y left 1 BUG left 8y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y-9y = -5+9y-9y left 2 OK left -8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -5+9y-9y right 1 OK right -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -5 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y/-8 = -5/-8 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:55:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5/-8 right 1 OK right 0.625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:57:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-10) = 3y+0 strategic 1 OK subtract -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:57:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-10)-(-10) = 3y+0-(-10) left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:57:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+0-(-10) right 1 BUG right -3y-10 The result should be positive. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:57:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+0-(-10) right 2 BUG right 3y-10 3y-10 is equal to 3y+0 plus -10. You need to calculate 3y+0 minus -10. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:58:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+0-(-10) right 3 OK right 3y+10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:58:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 1 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:59:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 2 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:59:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 08:59:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 2 ERROR left 1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 3 ERROR left 9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 3y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 4 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 4 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 5 ERROR left -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:00:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 3y+10-3y left 6 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 3y+10-3y right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract 3y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 6 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 10 left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 10 left 2 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:05:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:06:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-10) = 3y+0 strategic 2 OK subtract -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:06:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 right 1 OK right 3y +10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:07:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 7 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:07:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-10 = 3y left 1 ERROR left -7y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:08:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 8 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 9 ERROR subtract -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 10 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 3y+10 strategic 11 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 10 left 3 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 right 2 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:39.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 2 OK mt 0y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:09:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 0y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 4 OK mt 0y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 2 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 0y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 5 OK mt 0y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 3 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 3 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:10:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:11:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 0y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 10 strategic 6 OK mt 0y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:11:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 4 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:11:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 4 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:12:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:12:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 OK 0 condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:12:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x+(-9) = -10+5x strategic 1 OK subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:12:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x left 1 OK left 9x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x right 1 ERROR right -10+14x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x right 2 BUG right -10+5x You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x right 3 ERROR right -10+-4x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -10+5x-(-9) on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:13:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x right 4 ERROR right -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:14:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -1+5x right 5 OK right -10+5x-(-9) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:14:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = -10+5x-(-9) strategic 1 OK subtract 5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:14:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 left 1 BUG left 4 You forgot the x. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:14:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 left 2 OK left 4x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:15:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 1 ERROR right -10-4x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:19:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 2 ERROR right 5x+-19 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:19:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 3 ERROR right 5x+(-19) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:19:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 4 ERROR right 5x-(-1) condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:20:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 5 ERROR right -10+-9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:20:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:20:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in -10+5x-(-9)-5x on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:21:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 right 6 OK right -10+5x-(-9)-5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = -10+5x-(-9)-5x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -10+5x-(-9)-5x strategic 2 OK rds 4x = -10+5x-(-9)-5x strategic condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = -10+5x+9-5x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:23:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -10+5x+9-5x strategic 2 OK clt -10+5x+9-5x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK +5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 BUG +9 +9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK +9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 2 OK -5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 ERROR 10x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 3 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 4 ERROR 1x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:24:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 5 INITIAL_HINT 1x In the group above, 5x and -5x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:25:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 6 OK 0y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:25:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:25:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 0y+-1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:25:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0y-1 strategic 1 BUG add 1 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0y-1 strategic 2 BUG add 1 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:27:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0y-1 strategic 3 BUG add 4x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -10+5x+9-5x strategic 3 OK clt -10+5x+9-5x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 3 BUG -10 -10
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -10, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -10 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 4 OK +5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 3 OK -5x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 7 OK 0x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 BUG -10 -10
Perhaps you should fill in all the constant terms above. BUG condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:29:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 OK +9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 OK -10+9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:29:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 0x+-10+9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0x-10+9 strategic 1 BUG subtract 9 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = 0x-10+9 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0x-10+9 strategic 3 OK mt 0x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 5 OK x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 8 OK x condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 0*x condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0x-10+9 strategic 4 OK mt 0x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:30:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 6 OK x condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 2 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 9 OK x condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 0 condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0-10+9 strategic 1 OK unnec-elems 4x=0-10+9 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 strategic 2 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE 4x is 4 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:31.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Divide both sides by 4. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = -1 strategic 4 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/4 right 1 ERROR right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:31:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/4 right 2 BUG right -1 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:32:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/4 right 3 OK right -0.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:34:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-6) = 2+(-5y) strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the both side. Erase your last step and add 6 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:37:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-6) = 2+(-5y) strategic 2 OK subtract -6 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:37:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 8-5y left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:38:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 8-5y right 1 ERROR right 2+5y-6 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:38:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y = 8-5y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:38:10.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 2+(-5y)-(-6) on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I E2c6E5k session1 2007-05-04 09:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 8-5y right 2 OK right 2+(-5y)-(-6) condition 2 cwctc 247s1e7g2s--2--Alg I Ew6aoQF session0 2007-04-17 13:53:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 13:55:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 5.39 = 3.29y+(-0.74) strategic 1 ERROR answer-check 18632 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 13:55:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 5.39 = 3.29y+(-0.74) strategic 2 OK answer-check 1.8632 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 13:57:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 73 = -3+14y strategic 1 OK answer-check 38/7 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:01:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -88y+(-82) = -74 strategic 1 OK answer-check -0.090 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:05:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -9.34y+(-8.33) = -7.06 strategic 1 ERROR answer-check 1.6477 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:09:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -9.34y+(-8.33) = -7.06 strategic 2 OK answer-check -0.1359 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:16:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7814 = 8937+(-3207y) strategic 1 OK answer-check 0.3501 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:19:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -2.06 = -6.65+9.87y strategic 1 ERROR answer-check -0.4650 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:22:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -2.06 = -6.65+9.87y strategic 2 OK answer-check 0.4650 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:25:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8904y+(-91) = -2875 strategic 1 ERROR answer-check 0.3331 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session0 2007-04-17 14:25:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8904y+(-91) = -2875 strategic 2 ERROR answer-check -0.3331 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 13:54:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8904y+(-91) = -2875 strategic 1 ERROR answer-check -0.3126 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 13:54:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8904y+(-91) = -2875 strategic 2 ERROR answer-check -0.3127 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 13:55:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8904y+(-91) = -2875 strategic 3 OK answer-check 0.3127 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:00:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -62.89y+77.42 = 22.89 strategic 1 ERROR answer-check 35.1659 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:00:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -62.89y+77.42 = 22.89 strategic 2 ERROR answer-check 35.1658 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:00:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -62.89y+77.42 = 22.89 strategic 3 ERROR answer-check -35.1658 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:00:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -62.89y+77.42 = 22.89 strategic 4 OK answer-check 0.8671 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:04:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -12.53 = 0.61+(-10.66x) strategic 1 OK answer-check 1.2326 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session1 2007-04-24 14:07:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4160+1573y = -4518 strategic 1 ERROR answer-check 5.5168 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session2 2007-04-24 14:25:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4160+1573y = -4518 strategic 2 OK answer-check -5.5168 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 13:53:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -48.4 = -12.75+48.85x strategic 1 OK answer-check -0.7297 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 13:57:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 7y+(-28) = 9 strategic 1 OK answer-check 5.2857 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:04:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 2422 = -7519+6303y strategic 1 OK answer-check 1.5771 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:09:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -14.26 = 7.48+(-11.15x) strategic 1 ERROR answer-check 0.608 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:09:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -14.26 = 7.48+(-11.15x) strategic 2 ERROR answer-check 0.6080 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:12:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -14.26 = 7.48+(-11.15x) strategic 3 OK answer-check 1.9497 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:21:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -9.88 = 12.45x+1.77 strategic 1 OK answer-check -0.9357 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:23:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -56 = -56x+64 strategic 1 ERROR answer-check -2.1428 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:25:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -56 = -56x+64 strategic 2 ERROR answer-check 0.1428 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Ew6aoQF session3 2007-04-26 14:29:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -56 = -56x+64 strategic 3 OK answer-check 2.1428 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I F713eQN session0 2007-04-26 08:33:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:34:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C -4.19 = -8.37y+13.39 strategic 1 OK answer-check 2.1004 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:35:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 36 = 53+17y strategic 1 OK answer-check -1 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:44:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7273 = 9706x+1678 strategic 1 ERROR answer-check 16.21 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:47:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7273 = 9706x+1678 strategic 2 ERROR answer-check 576 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:47:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 7273 = 9706x+1678 strategic 3 OK answer-check .576 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:50:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 19.29+80.1y = 64.66 strategic 1 ERROR answer-check .800 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:50:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 19.29+80.1y = 64.66 strategic 2 ERROR answer-check -.800 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:50:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 19.29+80.1y = 64.66 strategic 3 ERROR answer-check -.80 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:50:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 19.29+80.1y = 64.66 strategic 4 OK answer-check 0.5664 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:57:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 32 = -47x+37 strategic 1 ERROR answer-check 9.4 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:58:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 32 = -47x+37 strategic 2 ERROR answer-check 0.94 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:58:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 32 = -47x+37 strategic 3 ERROR answer-check -.106 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 08:59:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 32 = -47x+37 strategic 4 OK answer-check 0.1064 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:07:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.76 = 9.94x+11.91 strategic 1 ERROR answer-check 0.99 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:07:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.76 = 9.94x+11.91 strategic 2 ERROR answer-check 0.099 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:07:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.76 = 9.94x+11.91 strategic 3 ERROR answer-check 99 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:07:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.76 = 9.94x+11.91 strategic 4 OK answer-check -0.7193 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:16:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -11.18+(-7.52x) = 2.16 strategic 1 ERROR answer-check -865 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:16:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -11.18+(-7.52x) = 2.16 strategic 2 ERROR answer-check -.865 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:16:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -11.18+(-7.52x) = 2.16 strategic 3 ERROR answer-check -.0865 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:16:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -11.18+(-7.52x) = 2.16 strategic 4 OK answer-check -1.7739 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:20:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4565+(-6782x) = 8604 strategic 1 ERROR answer-check .40 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:20:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4565+(-6782x) = 8604 strategic 2 ERROR answer-check .0444 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:20:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4565+(-6782x) = 8604 strategic 3 ERROR answer-check .0004 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:20:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 4565+(-6782x) = 8604 strategic 4 OK answer-check -0.5955 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:23:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 0.76x+10.51 = 14.15 strategic 1 ERROR answer-check 4.78 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:23:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 0.76x+10.51 = 14.15 strategic 2 OK answer-check 4.789 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:26:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 2779 = -6313y+1786 strategic 1 ERROR answer-check -15.72 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:29:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 2779 = -6313y+1786 strategic 2 ERROR answer-check -.635 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:29:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 2779 = -6313y+1786 strategic 3 ERROR answer-check -.0635 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:29:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 2779 = -6313y+1786 strategic 4 OK answer-check -0.1573 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:33:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -72.83x+(-42.7) = -69.7 strategic 1 ERROR answer-check 2.69 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:33:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -72.83x+(-42.7) = -69.7 strategic 2 ERROR answer-check 2.697 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:33:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -72.83x+(-42.7) = -69.7 strategic 3 ERROR answer-check 2.6974 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:34:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -72.83x+(-42.7) = -69.7 strategic 4 OK answer-check 0.3707 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I F713eQN session0 2007-04-26 09:36:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1014y+8983 = -1923 strategic 1 ERROR answer-check -.10 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I GM3I0Nu session110 2007-04-23 09:37:32.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:01.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:19.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:30.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 10.26y+2 = -4.15 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:38.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 10.26y = -6.15 strategic 1 OK divide 10.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:50.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -3625 = 1795x+(-1420) strategic 1 OK rds -3625 = 1795x+(-1420) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:38:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -3625 = 1795x-1420 strategic 1 OK add 1420 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:06.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -2205 = 1795x strategic 1 OK divide 1795 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 10.99 = 11.42+0.8y strategic 1 ERROR subtract 0.8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:29.0 HINT HINT ES_05 ES_05-1 EG42A 10.99 = 11.42+0.8y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:31.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 1 HINT_LEVEL_CHANGE 11.42 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 11.42 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 10.99 = 11.42+0.8y strategic 3 OK subtract 11.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -0.43 = 0.8y strategic 1 OK divide 0.8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:39:59.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -28+(-17x) = -58 strategic 1 OK rds -28+(-17x) = -58 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:40:07.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -28-17x = -58 strategic 1 BUG add -28 To remove -28 from the left side, you can add a positive to it. Erase your last step and add 28 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:40:24.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -28-17x = -58 strategic 2 OK add 28 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:40:30.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -17x = -30 strategic 1 OK divide -17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:40:39.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -4710 = -6995x+(-9999) strategic 1 OK rds -4710 = -6995x+(-9999) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:40:48.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -4710 = -6995x-9999 strategic 1 OK add 9999 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:01.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5289 = -6995x strategic 1 OK divide -6995 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:16.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -3.69 = -1.6+2.24x strategic 1 OK subtract -1.6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:27.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -2.09 = 2.24x strategic 1 OK divide 2.24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -51 = 89y+(-7) strategic 1 OK rds -51 = 89y+(-7) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:49.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -51 = 89y-7 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:41:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -51+7 = 89y-7+7 left 1 OK left -51+7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:42:11.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -51+7 = 89y-7+7 right 1 OK right 89y-7+7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:42:19.0 HINT HINT ES_05 ES_05-2 EG43 -51+7 = 89y-7+7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:42:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -51+7 = 89y-7+7 strategic 2 OK clt -51+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:42:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK -44 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:42:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44 = 89y-7+7 strategic 1 OK clt 89y-7+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y1R1 strategic 1 OK 89y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43 constant terms1R1 strategic 1 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:11.0 CYCLE CYCLE ES_05 ES_05-2 EG43 constant terms2R1 strategic 1 OK +7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:20.0 CYCLE CYCLE ES_05 ES_05-2 EG43 yR2 strategic 1 OK 89y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 2 OK 89y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:43:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44 = 89y strategic 1 OK divide 89 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44/89 = 89y/89 left 1 OK left -44/89 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44/89 = 89y/89 right 1 OK right 89y/89 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44/89 = 89y/89 strategic 1 OK rf 89y/89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 3 OK y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82 = -7.63+14.29y strategic 1 ERROR subtract 14.29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:44:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82 = -7.63+14.29y strategic 2 OK subtract -7.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:45:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82 = -7.63+14.29y strategic 3 OK subtract -7.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:45:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82-(-7.63) = -7.63+14.29y-(-7.63) left 1 OK left 6.82-(-7.63) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:45:53.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82+7.63 = -7.63+14.29y-(-7.63) right 1 ERROR right -7.63+14.29(-7.63) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:46:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82+7.63 = -7.63+14.29y-(-7.63) right 2 OK right -7.63+14.29y-(-7.63) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:46:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.82+7.63 = -7.63+14.29y+7.63 strategic 1 OK clt 6.82+7.63 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 1 OK 14.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45 = -7.63+14.29y+7.63 strategic 1 OK clt -7.63+14.29y+7.63 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant terms1R1 strategic 1 OK -7.63 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:18.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y1R1 strategic 1 OK +14.29y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant terms2R1 strategic 1 OK +7.63 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42A yR2 strategic 1 ERROR 1429y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42A yR2 strategic 2 OK 14.29y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 2 OK 14.29y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:47:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45 = 14.29y strategic 1 OK divide 14.29 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:48:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45/14.29 = 14.29y/14.29 left 1 OK left 14.45/14.29 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:48:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45/14.29 = 14.29y/14.29 right 1 ERROR right 14.45y/14.29 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:48:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45/14.29 = 14.29y/14.29 right 2 ERROR right 14.29y/14.45 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:49:30.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45/14.29 = 14.29y/14.29 right 3 OK right 14.29y/14.29 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:49:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 14.45/14.29 = 14.29y/14.29 strategic 1 OK rf 14.45/14.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:50:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 3 ERROR 28.74 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:50:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 4 ERROR y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:50:22.0 HINT HINT ES_05 ES_05-2 EG42A FinalAnswer strategic 5 INITIAL_HINT y In the above expression you have 14.45/14.29. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:50:25.0 HINT HINT ES_05 ES_05-2 EG42A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide 14.29 into 14.45. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:52:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 6 OK 1.0111 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:52:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 1.0111 = 14.29y/14.29 strategic 1 OK rf 14.29y/14.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:52:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 7 OK y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:56:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 10.12 = 13.93+6.04y strategic 1 OK subtract 13.93 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:57:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 10.12-13.93 = 13.93+6.04y-13.93 left 1 OK left 10.12-13.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:57:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 10.12-13.93 = 13.93+6.04y-13.93 right 1 ERROR right 13.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:57:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 10.12-13.93 = 13.93+6.04y-13.93 right 2 OK right 13.93+6.04y-13.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 09:57:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 10.12-13.93 = 13.93+6.04y-13.93 strategic 1 OK clt 10.12-13.93 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 OK -3.81 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:09.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -3.81 = 13.93+6.04y-13.93 strategic 1 OK clt 13.93+6.04y-13.93 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms1R1 strategic 1 OK 13.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y1R1 strategic 1 OK +6.04y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:27.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms2R1 strategic 1 OK -13.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:30.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42B yR2 strategic 1 OK 6.04y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 2 OK 6.04y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:02:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -3.81 = 6.04y strategic 1 OK divide 6.04 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:03:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -3.81/6.04 = 6.04y/6.04 left 1 OK left -3.81/6.04 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:03:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -3.81/6.04 = 6.04y/6.04 right 1 OK right 6.04y/6.04 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:03:32.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -3.81/6.04 = 6.04y/6.04 strategic 1 OK rf -3.81/6.04 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:04:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 3 ERROR -9.85 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:04:32.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 4 ERROR -9.84 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:04:37.0 HINT HINT ES_05 ES_05-2 EG42B FinalAnswer strategic 5 INITIAL_HINT -9.84 In the above expression you have -3.81/6.04. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:05:40.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 6 OK -0.6307 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:05:40.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -0.6307 = 6.04y/6.04 strategic 1 OK rf 6.04y/6.04 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:05:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 7 OK y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:05:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 1 ERROR rds 277 = 992/x+977 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:05.0 HINT HINT ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:07.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE 977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 977 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 3 ERROR subtract 992 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:20.0 HINT HINT ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:22.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE 977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 977 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:31.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 5 ERROR subtract 997 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:41.0 HINT HINT ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:46.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 3 HINT_LEVEL_CHANGE 977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 977 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:06:50.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 4 HINT_LEVEL_CHANGE You can subtract 977 from both sides of the equation to eliminate the constant value of 977 (977 - 977 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 7 ERROR subtract 997 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:08.0 HINT HINT ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 8 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:15.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 5 HINT_LEVEL_CHANGE 977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 977 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:19.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 6 HINT_LEVEL_CHANGE You can subtract 977 from both sides of the equation to eliminate the constant value of 977 (977 - 977 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:40.0 HINT HINT ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 9 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:41.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 7 HINT_LEVEL_CHANGE 977 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 977 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:45.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 8 HINT_LEVEL_CHANGE You can subtract 977 from both sides of the equation to eliminate the constant value of 977 (977 - 977 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:07:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 277 = 992/x+977 strategic 10 OK subtract 977 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:05.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700 = 992/x strategic 1 ERROR divide 992/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700 = 992/x strategic 2 ERROR divide 992/1 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:21.0 HINT HINT ES_05 ES_05-3 EG59A -700 = 992/x strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:22.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 9 HINT_LEVEL_CHANGE 992/x is 992 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700 = 992/x strategic 4 ERROR multiply 992/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700 = 992/x strategic 5 BUG multiply 992/1 To remove 992/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 992/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:49.0 HINT HINT ES_05 ES_05-3 EG59A -700 = 992/x strategic 6 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:50.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 10 HINT_LEVEL_CHANGE 992/x is 992 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:54.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 11 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:08:59.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700 = 992/x strategic 7 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:09:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -700x = 992 strategic 1 OK divide -700 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:23:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -12 = 55/y+14 strategic 1 OK subtract 14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -26 = 55/y strategic 1 ERROR divide 55/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:17.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -26 = 55/y strategic 2 ERROR divide 55 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:20.0 HINT HINT ES_05 ES_05-3 EG59 -26 = 55/y strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:21.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE 55/y is 55 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -26 = 55/y strategic 4 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:37.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -26y = 55 strategic 1 OK divide -26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:24:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 326 = -413/y+926 strategic 1 OK subtract 926 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:04.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -600 = -413/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -600y = -413 strategic 1 OK divide -600 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:29.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -51 = -2/y+15 strategic 1 OK subtract 15 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -66 = -2/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:49.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -66y = -2 strategic 1 OK divide -66 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:25:59.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -54 = -12/x+(-34) strategic 1 OK rds -54 = -12/x+(-34) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:26:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -54 = -12/x-34 strategic 1 OK add 34 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:26:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -20 = -12/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session110 2007-04-23 10:26:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -20x = -12 strategic 1 OK divide -20 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:43:58.0 HINT HINT ES_05 ES_05-4 EG59A 992 = -293/x+632 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:43:59.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 1 HINT_LEVEL_CHANGE 632 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 632 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:44:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992 = -293/x+632 strategic 2 OK subtract 632 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:44:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x+632-632 left 1 ERROR left 922-632 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992 = -293/x+632 strategic 3 OK subtract 632 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x+632-632 left 2 OK left 992-632 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x+632-632 right 1 OK right -293/x+632-632 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x+632-632 strategic 1 OK clt 992-632 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK 992-632 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x+632-632 strategic 2 OK clt -293/x+632-632 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:45:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 1 OK -293/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +632 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -632 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/xR2 strategic 1 OK -293/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -293/x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:33.0 HINT HINT ES_05 ES_05-4 EG59A 992-632 = -293/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:46:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x strategic 2 OK clt 992-632 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:47:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 3 OK 360 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:47:32.0 HINT HINT ES_05 ES_05-4 EG59A 360 = -293/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:47:34.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 2 HINT_LEVEL_CHANGE -293/x is -293 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:47:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360 = -293/x strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:47:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x left 1 OK left 360x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x right 1 OK right -293/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:02.0 HINT HINT ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 2 ERROR rds 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 3 ERROR rf 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 4 OK mt -293/x*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 5 ERROR clt 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 6 ERROR distribute 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 7 OK mt -293/x*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:38.0 HINT HINT ES_05 ES_05-4 EG59A pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:41.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 3 HINT_LEVEL_CHANGE What is -293 times x? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 2 ERROR -292 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:48:54.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 4 HINT_LEVEL_CHANGE Type -293x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 3 OK -293x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:09.0 HINT HINT ES_05 ES_05-4 EG59A pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:11.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 5 HINT_LEVEL_CHANGE What is x times 1? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 2 OK 1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 4 ERROR -293x/1x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:30.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 6 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 5 ERROR x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:36.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 6 INITIAL_HINT x Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:37.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 7 HINT_LEVEL_CHANGE Type -293x/x. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 7 ERROR -293x/x] condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 8 OK -293x/x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:56.0 HINT HINT ES_05 ES_05-4 EG59A 360x = -293x/x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:49:57.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 8 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293x/x strategic 2 OK rf -293x/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 9 BUG x x
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-N-x strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-D-x strategic 1 OK 1/[x] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-N-constant factors strategic 1 OK -293 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:18.0 HINT HINT ES_05 ES_05-4 EG59A row2constant factors strategic 1 INITIAL_HINT Because there are no constant factors in the denominator of -293x/x, you must double-click in order to enter a 1. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 1 BUG 1 1
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-constant factors strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:36.0 HINT HINT ES_05 ES_05-4 EG59A row3-N-constant factors strategic 2 INITIAL_HINT 1 Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:40.0 HINT HINT ES_05 ES_05-4 EG59A row2x strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:41.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 9 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, x, then that is the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2x strategic 2 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-x strategic 1 ERROR x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:51.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 10 HINT_LEVEL_CHANGE Enter x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:54.0 HINT HINT ES_05 ES_05-4 EG59A row3-N-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:55.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 11 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:56.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 12 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, x, by x, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:50:59.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 13 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-x strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 3 BUG x x
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:12.0 HINT HINT ES_05 ES_05-4 EG59A row3-D-x strategic 2 INITIAL_HINT x The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:13.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 14 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:14.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 15 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, x, by x, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:17.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 16 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-x strategic 3 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 4 BUG 1 1
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:23.0 HINT HINT ES_05 ES_05-4 EG59A row3-N-constant factors strategic 5 INITIAL_HINT 1 Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 6 OK -293 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:37.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 10 INITIAL_HINT x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:40.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 11 INITIAL_HINT x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:51:45.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 12 INITIAL_HINT x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 13 BUG -295/2x -295/2x
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:14.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 14 INITIAL_HINT -295/2x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:32.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 15 INITIAL_HINT -295/2x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:37.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 16 INITIAL_HINT -295/2x Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:46.0 HINT HINT ES_05 ES_05-4 EG59A 992-632 = -293/x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:47.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 17 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 992-632 = -293/x strategic 4 OK clt 992-632 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:52:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 17 OK 360 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360 = -293/x strategic 3 ERROR rf 360 = -293/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:04.0 HINT HINT ES_05 ES_05-4 EG59A 360 = -293/x strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:05.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 18 HINT_LEVEL_CHANGE -293/x is -293 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360 = -293/x strategic 5 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x left 2 OK left 360x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x right 2 OK right -293/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 8 ERROR rf 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:35.0 HINT HINT ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 9 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 10 ERROR rf 360x = -293/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293/x*x strategic 11 OK mt -293/x*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 4 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:53:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-den-node strategic 3 OK 1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A pm-r-num-node strategic 5 OK -293x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 18 OK -293x/x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293x/x strategic 3 OK rf -293x/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-N-constant factors strategic 2 ERROR 1/[x] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-D-x strategic 2 OK 1/[x] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-N-x strategic 2 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-D-constant factors strategic 1 ERROR -293 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row1-N-constant factors strategic 3 OK -293 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2x strategic 3 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2x strategic 4 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-x strategic 3 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-x strategic 4 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-D-constant factors strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row2constant factors strategic 3 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:54:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A row3-N-constant factors strategic 7 OK -293 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:55:02.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 19 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:55:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 20 OK -293x/x condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:55:17.0 HINT HINT ES_05 ES_05-4 EG59A 360x = -293x/x strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:55:18.0 HINT HINT ES_05 ES_05-4 EG59A null strategic 19 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:55:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293x/x strategic 5 BUG divide 360 Simplify the fraction -293x/x. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:56:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293x/x strategic 6 OK rf -293x/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:56:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 21 OK -293 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:56:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x = -293 strategic 1 OK divide 360 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x/360 = -293/360 left 1 OK left 360x/360 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x/360 = -293/360 right 1 OK right -293/360 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 360x/360 = -293/360 strategic 1 OK rf 360x/360 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 22 BUG 360 360
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 23 OK x condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57+(-14/x) = 67 strategic 1 OK rds 57+(-14/x) = 67 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:51.0 HINT HINT ES_05 ES_05-4 EG59 57-14/x = 67 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:57:52.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE 57 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 57 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:58:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57-14/x = 67 strategic 2 BUG add 57 Since 57 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 57 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:58:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57-14/x = 67 strategic 3 OK subtract 57 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:58:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57-14/x-57 = 67-57 left 1 OK left 57-14/x-57 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session111 2007-04-24 10:58:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57-14/x-57 = 67-57 right 1 OK right 67-57 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:44:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 57-14/x-57 = 67-57 strategic 1 OK clt 57-14/x-57 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:44:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/x1R1 strategic 1 OK -14/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:44:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK 57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:44:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK -57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:45:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:45:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/xR2 strategic 1 OK -14/X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:45:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -14/X condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:45:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/X = 67-57 strategic 1 OK clt 67-57 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:45:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 ERROR 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 3 OK 10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/X = 10 strategic 1 OK multiply X condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/X*x = 10x left 1 OK left -14/X*X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/X*x = 10x right 1 OK right 10X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/X*x = 10x strategic 1 OK mt -14/X*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:46:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-den-node strategic 1 OK 1X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-num-node strategic 1 OK -14X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 4 OK -14X/X condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14X/X = 10x strategic 1 OK rf -14X/X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 5 BUG X X
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-X strategic 1 BUG X X
Perhaps you should fill in the numerator of the X factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2X strategic 1 OK X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-X strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-X strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:47:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 1 OK -14 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-constant factors strategic 1 OK -14 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-constant factors strategic 1 ERROR 1/[X] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-X strategic 1 OK 1/[X] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-X strategic 1 OK X condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:32.0 HINT HINT ES_05 ES_05-4 EG59 row1-D-constant factors strategic 2 INITIAL_HINT 1/[X] This entry box represent the constant factor of the denominator. Find the constant factor in the denominator of the expression -14X/X. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:34.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Because there are no constant factors in the denominator of -14X/X, you must double-click to enter a 1 here. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:48.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE This entry box represent the constant factor of the denominator. Find the constant factor in the denominator of the expression -14X/X. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:50.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 6 INITIAL_HINT X Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:48:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 7 OK -14 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14 = 10x strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/10 = 10x/10 left 1 OK left -14/10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/10 = 10x/10 right 1 OK right 10X/10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -14/10 = 10x/10 strategic 1 OK rf -14/10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 2 ERROR 14 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 3 ERROR 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 4 ERROR -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:51.0 HINT HINT ES_05 ES_05-4 EG59 row2constant factors strategic 5 INITIAL_HINT -7 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:54.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 3 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -14 and denominator 10? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:57.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 4 HINT_LEVEL_CHANGE 2 will go into both -14 and 10 and is the most appropriate common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:49:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 6 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 2 ERROR 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:06.0 HINT HINT ES_05 ES_05-4 EG59 row3-N-constant factors strategic 3 INITIAL_HINT 4 The common factor between the numerator and denominator of [-14]/[10] is 2. This set of entry boxes represent the simplified form of [-14]/[10]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:07.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 5 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:09.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 6 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -14, by 2, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:13.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 7 HINT_LEVEL_CHANGE Type -7. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 4 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 2 ERROR -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:21.0 HINT HINT ES_05 ES_05-4 EG59 row3-D-constant factors strategic 3 INITIAL_HINT -7 The common factor between the numerator and denominator of [-14]/[10] is 2. This set of entry boxes represent the simplified form of [-14]/[10]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:22.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 8 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:24.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 9 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 10, by 2, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:26.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 10 HINT_LEVEL_CHANGE Type 5. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 4 ERROR 5' condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 5 OK 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:36.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 8 INITIAL_HINT In the above expression you have -14/10. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:40.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 11 HINT_LEVEL_CHANGE To simplify, divide 10 into -14. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:41.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 12 HINT_LEVEL_CHANGE Type -7/5. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 9 OK -7/5 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -7/5 = 10x/10 strategic 1 OK rf 10x/10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session112 2007-04-24 15:50:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 10 OK X condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:38:21.0 HINT HINT ES_05 ES_05-4 EG59 -19 = 100/y+29 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:38:22.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE 29 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 29 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:38:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -19 = 100/y+29 strategic 2 OK subtract 29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:38:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -19-29 = 100/y+29-29 left 1 OK left -19-29 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:40:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -19-29 = 100/y+29-29 right 1 OK right 100/y+29-29 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:40:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -19-29 = 100/y+29-29 strategic 1 OK clt -19-29 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 ERROR -10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 ERROR 10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:43.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 4 INITIAL_HINT y Simplify the expression [-19]+[-29]. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:45.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:48.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Adding [-19]+[-29] yields -48. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 5 ERROR 48 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 6 OK -48 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:41:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48 = 100/y+29-29 strategic 1 OK clt 100/y+29-29 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/y1R1 strategic 1 OK 100/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK +29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK -29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/yR2 strategic 1 OK 100/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 7 OK 100/y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:31.0 HINT HINT ES_05 ES_05-4 EG59 -48 = 100/y strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:32.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 3 HINT_LEVEL_CHANGE 100/y is 100 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48 = 100/y strategic 2 BUG multiply 100 To remove 100/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 100/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48 = 100/y+29-29 strategic 2 OK clt 100/y+29-29 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:42:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 8 OK 100/y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48 = 100/y strategic 3 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100/y*y left 1 OK left -48y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100/y*y right 1 OK right 100/y*y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:20.0 HINT HINT ES_05 ES_05-4 EG59 -48y = 100/y*y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100/y*y strategic 2 OK mt 100/y*y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:26.0 HINT HINT ES_05 ES_05-4 EG59 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:28.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 4 HINT_LEVEL_CHANGE What is 100 times y? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:32.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Type 100y. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-num-node strategic 2 OK 100y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-den-node strategic 1 OK 1y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 9 ERROR 100y/1y condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 10 OK 100y/y condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:57.0 HINT HINT ES_05 ES_05-4 EG59 -48y = 100y/y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:43:58.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100y/y strategic 2 OK rf 100y/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 11 BUG y y
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-y strategic 1 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-y strategic 1 OK 1/[y] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-constant factors strategic 1 OK 100 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2y strategic 1 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2y strategic 2 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-y strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-y strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 1 BUG 100/y 100/y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 2 BUG 100y 100y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:44:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 3 BUG 100-y' 100-y'
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 4 BUG 100*y 100*y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:05.0 HINT HINT ES_05 ES_05-4 EG59 row3-N-constant factors strategic 5 INITIAL_HINT 100*y Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 6 OK 100 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:12.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 12 INITIAL_HINT y Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 13 OK 100y/y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100y/y strategic 3 OK rf 100y/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-y strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 7 OK 100 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-y strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2y strategic 3 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-constant factors strategic 1 ERROR 100 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-constant factors strategic 2 OK 100 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-constant factors strategic 2 ERROR 1/[y] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:45:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-y strategic 2 OK 1/[y] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-y strategic 2 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:18.0 HINT HINT ES_05 ES_05-4 EG59 row1-D-constant factors strategic 3 INITIAL_HINT 1/[y] This entry box represent the constant factor of the denominator. Find the constant factor in the denominator of the expression 100y/y. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:23.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 7 HINT_LEVEL_CHANGE Because there are no constant factors in the denominator of 100y/y, you must double-click to enter a 1 here. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:35.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 14 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 15 OK 100 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y = 100 strategic 1 OK divide -48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:46:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y/-48 = 100/-48 left 1 OK left -48y/-48 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y/-48 = 100/-48 right 1 OK right 100/-48 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -48y/-48 = 100/-48 strategic 1 OK rf -48y/-48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 16 OK y condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 100/-48 strategic 1 OK rf 100/-48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 3 ERROR 450 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 4 ERROR 50 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 5 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:23.0 HINT HINT ES_05 ES_05-4 EG59 row2constant factors strategic 6 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 8 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [100]/[-48]. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 3 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [100]/[-48]. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:30.0 HINT HINT ES_05 ES_05-4 EG59 row2constant factors strategic 7 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:31.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 8 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 100 and denominator -48? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:35.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 9 HINT_LEVEL_CHANGE -4 will go into both 100 and -48 and is the most appropriate common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 8 BUG 4 4
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 9 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:43.0 HINT HINT ES_05 ES_05-4 EG59 row3-N-constant factors strategic 9 INITIAL_HINT 1 The common factor between the numerator and denominator of [100]/[-48] is -4. This set of entry boxes represent the simplified form of [100]/[-48]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:45.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 10 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:46.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 11 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 100, by -4, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:49.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 12 HINT_LEVEL_CHANGE Type -25. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 10 OK -25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:54.0 HINT HINT ES_05 ES_05-4 EG59 row3-D-constant factors strategic 4 INITIAL_HINT 1 The common factor between the numerator and denominator of [100]/[-48] is -4. This set of entry boxes represent the simplified form of [100]/[-48]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:54.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 13 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:58.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 14 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -48, by -4, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:47:59.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 15 HINT_LEVEL_CHANGE Type 12. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 5 OK 12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:06.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 17 INITIAL_HINT In the above expression you have 100/-48. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:08.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 16 HINT_LEVEL_CHANGE To simplify, divide -48 into 100. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 18 ERROR -0.48 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:27.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 17 HINT_LEVEL_CHANGE Type -25/12. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 19 OK -25/12 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6+(-10x) = 2x+7 strategic 1 OK rds 6+(-10x) = 2x+7 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:52.0 HINT HINT ES_05 ES_05-5 EG60 6-10x = 2x+7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:48:53.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -10x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6-10x = 2x+7 strategic 2 ERROR add 10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:04.0 HINT HINT ES_05 ES_05-5 EG60 6-10x = 2x+7 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:07.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move -10x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:11.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 10x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6-10x = 2x+7 strategic 4 ERROR subtract 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6-10x = 2x+7 strategic 5 OK add 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:33.0 HINT HINT ES_05 ES_05-5 EG60 6 = 12x+7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE 7 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 12x+7 strategic 2 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = 12x strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+8y = -7y+(-4) strategic 1 OK rds 9+8y = -7y+(-4) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:49:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+8y = -7y-4 strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -7y-13 strategic 1 ERROR add 13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -7y-13 strategic 2 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:15.0 HINT HINT ES_05 ES_05-5 EG60 8y = -7y-13 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:16.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -7y-13 strategic 4 ERROR add -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:26.0 HINT HINT ES_05 ES_05-5 EG60 8y = -7y-13 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:30.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 7y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -7y-13 strategic 6 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y = -13 strategic 1 ERROR add 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:50:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y = -13 strategic 2 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:51:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+(-7) = 7y+4 strategic 1 OK rds 6y+(-7) = 7y+4 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-7 = 7y+4 strategic 1 OK subtract 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-11 = 7y strategic 1 ERROR add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-11 = 7y strategic 2 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-11 = 0 strategic 1 ERROR divide -11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-11 = 0 strategic 2 ERROR divide -y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:40.0 HINT HINT ES_05 ES_05-5 EG60 -y-11 = 0 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:41.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -11 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -11 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-11 = 0 strategic 4 OK add 11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:52:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y = 11 strategic 1 BUG divide -y Dividing anything by itself will leave 1. If you divide -y by -1, y will be left. Erase your last step and then divide by -1. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:02.0 HINT HINT ES_05 ES_05-5 EG60 -y = 11 strategic 2 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:03.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y = 11 strategic 3 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+1 = -2y+(-8) strategic 1 OK rds 8y+1 = -2y+(-8) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+1 = -2y-8 strategic 1 OK add 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+9 = -2y strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:53:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+9 = -2y strategic 2 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:57:43.0 HINT HINT ES_05 ES_05-5 EG60 9 = -10y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:57:45.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -10y is -10 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:57:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -10y strategic 2 BUG divide -10y Dividing anything by itself will leave 1. If you divide -10y by -10, y will be left. Erase your last step and then divide by -10. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:57:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -10y strategic 3 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:58:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y+6 = -10+(-6y) strategic 1 OK rds 5y+6 = -10+(-6y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:58:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y+6 = -10-6y strategic 1 BUG add 6 Since 6 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:58:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y+6 = -10-6y strategic 2 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:58:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y = -16-6y strategic 1 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11y = -16 strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+(-5) = -1y+1 strategic 1 OK rds 6y+(-5) = -1y+1 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-5 = -1y+1 strategic 1 OK subtract 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-6 = -y strategic 1 ERROR add 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-6 = -y strategic 2 ERROR add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 09:59:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+(-5) = -1y+1 strategic 2 OK rds 6y+(-5) = -1y+1 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y-5 = -1y+1 strategic 2 OK add 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = -y+6 strategic 1 ERROR subtract 6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = -y+6 strategic 2 OK subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -7y+6 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -(-7y+6)/7 strategic 1 ERROR rf 0 = -(-7y+6)/7 strategic condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:42.0 HINT HINT ES_05 ES_05-5 EG60 0 = -(-7y+6)/7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:00:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -(-7y+6)/7 strategic 3 ERROR divide 7 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:01:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -(-7y+6)/7 strategic 4 OK multiply 7 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:01:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -(-7y+6) strategic 1 ERROR rds 0 = -(-7y+6) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:02.0 HINT HINT ES_05 ES_05-5 EG60 0 = -(-7y+6) strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -(-7y+6) strategic 3 OK distribute -(-7y+6) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 7y-6 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:22.0 HINT HINT ES_05 ES_05-5 EG60 0 = (7y-6)/7 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:25.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Distribute on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = (7y-6)/7 strategic 2 OK distribute (7y-6)/7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:34.0 HINT HINT ES_05 ES_05-5 EG60 0 = y-6/7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:35.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE -6/7 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6/7 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:38.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE You can add 6/7 to both sides of the equation to eliminate the constant value of -6/7 (-6/7 + 6/7 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = y-6/7 strategic 2 OK add 6/7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:02:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y+(-10) = -8y+8 strategic 1 OK rds 5y+(-10) = -8y+8 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y-10 = -8y+8 strategic 1 OK subtract 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y-18 = -8y strategic 1 ERROR add 18 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:27.0 HINT HINT ES_05 ES_05-5 EG60 5y-18 = -8y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:29.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y-18 = -8y strategic 3 ERROR add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5y-18 = -8y strategic 4 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:03:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -18 = -13y strategic 1 OK divide -13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:04:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+6x = 9+1x strategic 1 BUG subtract 1 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:05:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+6x = 9+1x strategic 2 OK subtract 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:05:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+5x = 9 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:05:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x = 6 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x+(-10) = 6x+10 strategic 1 OK rds -1x+(-10) = 6x+10 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x-10 = 6x+10 strategic 1 OK subtract 10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x-20 = 6x strategic 1 ERROR add 20 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x-20 = 6x strategic 2 ERROR add 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:49.0 HINT HINT ES_05 ES_05-5 EG60 -x-20 = 6x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:06:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x-20 = 6x strategic 4 OK add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:07:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -20 = 7x strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:07:26.0 HINT HINT ES_05 ES_05-5 EG60 -20/7 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:07:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+(-8y) = -7y+(-9) strategic 1 OK rds -4+(-8y) = -7y+(-9) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:07:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4-8y = -7y-9 strategic 1 OK add 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:07:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5-8y = -7y strategic 1 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:08:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9+(-7x) = 7+(-7x) strategic 1 OK rds -9+(-7x) = 7+(-7x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:08:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9-7x = 7-7x strategic 1 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:08:30.0 HINT HINT ES_05 ES_05-5 EG60 -9-7x = 7-7x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:08:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:08:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9-7x = 7-7x strategic 3 OK add 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y+10 = 3+(-5y) strategic 1 OK rds -7y+10 = 3+(-5y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y+10 = 3-5y strategic 1 OK subtract 10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y = -7-5y strategic 1 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -7 strategic 1 BUG multiply -2 To remove the coefficient of -2y, you need to divide. Erase your last step and then divide both sides by -2. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -7 strategic 2 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+5 = 10+(-2y) strategic 1 OK rds -2y+5 = 10+(-2y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+5 = 10-2y strategic 1 OK subtract 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:09:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = 5-2y strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+9 = 4x+6 strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+9-6 = 4x+6-6 left 1 OK left 5x+9-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+9-6 = 4x+6-6 right 1 OK right 4x+6-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+9-6 = 4x+6-6 strategic 1 OK clt 5x+9-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:10:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 5x/3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 5x*3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:30.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 3 INITIAL_HINT 5x*3 Above, you have [5x]+[3]. Enter 5x+3 as your result. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 5x+3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+3 = 4x+6-6 strategic 1 OK clt 4x+6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:57.0 HINT HINT ES_05 ES_05-6 EG60 5x+3 = 4x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:11:58.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:03.0 HINT HINT ES_05 ES_05-6 EG60 5x+3 = 4x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+3 = 4x strategic 3 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+3-5x = 4x-5x left 1 OK left 5x+3-5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+3-5x = 4x-5x right 1 OK right 4x-5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:43.0 HINT HINT ES_05 ES_05-6 EG60 5x+3-5x = 4x-5x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+3-5x = 4x-5x strategic 2 OK clt 5x+3-5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:12:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 BUG  5x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK 0x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 4x-5x strategic 1 OK clt 4x-5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK -1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:13:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -x strategic 1 BUG divide -x Dividing anything by itself will leave 1. If you divide -x by -1, x will be left. Erase your last step and then divide by -1. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:01.0 HINT HINT ES_05 ES_05-6 EG60 3 = -x strategic 2 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -x strategic 3 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3/-1 = -x/-1 left 1 BUG left 3/1 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3/-1 = -x/-1 left 2 OK left 3/-1 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3/-1 = -x/-1 right 1 OK right -x/-1 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3/-1 = -x/-1 strategic 1 OK rf 3/-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 ERROR x condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:39.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 10 INITIAL_HINT x In the above expression you have 3/-1. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:41.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -1 into 3. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK -3 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -x/-1 strategic 1 OK rf -x/-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:14:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 12 ERROR 0 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:08.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 13 INITIAL_HINT 0 In the above expression you have -x/-1. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE To simplify, divide -1 into -x. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 14 OK x condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:21.0 HINT HINT ES_05 ES_05-6 EG60 -3 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:27.0 HINT HINT ES_05 ES_05-6 EG60 -3 = x strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:15:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+0 = -7y+2 strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+0-2 = -7y+2-2 left 1 OK left 9y+0-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+0-2 = -7y+2-2 right 1 OK right -7y+2-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y+0-2 = -7y+2-2 strategic 1 OK unnec-elems 9y+0-2=-7y+2-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:37.0 HINT HINT ES_05 ES_05-6 EG60 9y-2 = -7y+2-2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:38.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2 = -7y+2-2 strategic 2 OK clt -7y+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:21:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:22:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -7y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:13.0 HINT HINT ES_05 ES_05-6 EG60 9y-2 = -7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:14.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 9y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2 = -7y strategic 2 ERROR add 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2 = -7y strategic 3 OK subtract 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2-9y = -7y-9y left 1 OK left 9y-2-9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2-9y = -7y-9y right 1 ERROR right -7y-y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:23:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2-9y = -7y-9y right 2 OK right -7y-9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9y-2-9y = -7y-9y strategic 1 OK clt 9y-2-9y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK 9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 0y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = -7y-9y strategic 1 OK clt -7y-9y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -16 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:50.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 3 INITIAL_HINT -16 In the group above, -7y and -9y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [-7y]+[-9y] are -7 and -9. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:24:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms -7y and -9y results in -16y HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -16y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = -16y strategic 1 OK divide -16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-16 = -16y/-16 left 1 OK left -2/-16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-16 = -16y/-16 right 1 OK right -16y/-16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/-16 = -16y/-16 strategic 1 OK rf -2/-16 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:25:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:26:00.0 HINT HINT ES_05 ES_05-6 EG60 row2constant factors strategic 2 INITIAL_HINT 2 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:26:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -2 and denominator -16? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:26:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE -2 will go into both -2 and -16 and is the most appropriate common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GM3I0Nu session113 2007-04-27 10:26:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 3 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 GmSR249 session0 2007-04-19 09:42:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:42:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide 4058 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:43:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -1 = -572y/2029 strategic 1 ERROR rf -1 = -572y/2029 strategic condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:44:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 ERROR divide 4058 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:45:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:45:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 3 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:45:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR rf -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:45:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check -2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 2 OK multiply -1 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:51:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -5.14 = 11.83x+9.9 strategic 1 OK subtract 9.9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:51:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -15.04 = 11.83x strategic 1 ERROR divide 15.04 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:51:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -15.04 = 11.83x strategic 2 OK divide 11.83 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -5.14 = 11.83x+9.9 strategic 2 ERROR answer-check -1.213 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:52:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -1.27134404 = x strategic 1 BUG divide -1 You already solved the equation. x is -1.2713. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -5.14 = 11.83x+9.9 strategic 3 OK answer-check -1.2713 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:53:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8049y+8094 = 3687 strategic 1 OK subtract 8094 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8049y = -4407 strategic 1 OK divide -8049 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:53:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8049y+8094 = 3687 strategic 2 OK answer-check 1469/2683 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:54:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7837+(-4375y) = -2251 strategic 1 OK subtract 7837 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -4375y = -10088 strategic 1 OK divide -4375 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:55:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7837+(-4375y) = -2251 strategic 2 OK answer-check 10088/4375 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:55:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.98 = -4.36x+(-9.31) strategic 1 BUG subtract 9.31 Since -9.31 is negative, you should add to remove it from the right side. Erase your last step and add 9.31 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.98 = -4.36x+(-9.31) strategic 2 OK subtract -9.31 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:56:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 22.29 = -4.36x strategic 1 OK divide -4.36 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:56:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.98 = -4.36x+(-9.31) strategic 3 OK answer-check -5.1124 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:56:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 7.85+(-6.38x) = -3.34 strategic 1 OK subtract 7.85 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:56:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -6.38x = -11.19 strategic 1 OK divide -6.38 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:57:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 7.85+(-6.38x) = -3.34 strategic 2 OK answer-check 1.7539 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:57:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.99 = 6.98+11.35x strategic 1 OK subtract 6.98 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:59:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.99-6.98 = 6.98+11.35x-6.98 left 1 OK left 4.01 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:59:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 4.01 = 6.98+11.35x-6.98 right 1 OK right 11.35x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:59:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 4.01 = 11.35x strategic 1 OK divide 11.35 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 09:59:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 4.01/11.35 = 11.35x/11.35 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:01:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 4.01/11.35 = x left 1 OK left .35 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:01:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 10.99 = 6.98+11.35x strategic 2 OK answer-check .3533 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29 = -50+(-54y) strategic 1 OK subtract -50 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29-(-50) = -50+(-54y)-(-50) right 1 OK right -54y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29-(-50) = -54y left 1 OK left .21 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:02:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.21 = -54y strategic 1 OK divide -54 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:02:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.21/-54 = -54y/-54 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:02:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.21/-54 = y left 1 OK left -3.8 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:02:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29 = -50+(-54y) strategic 2 ERROR answer-check -3.8 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:03:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29 = -50+(-54y) strategic 3 OK add 50 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:03:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29+50 = -50+(-54y)+50 left 1 OK left 79 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:03:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 79 = -50+(-54y)+50 right 1 OK right -54y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:03:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 79 = -54y strategic 1 OK divide -54 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:03:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 79/-54 = -54y/-54 left 1 OK left -1.46 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:04:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -1.46296296 = -54y/-54 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:04:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29 = -50+(-54y) strategic 4 OK answer-check -1.4630 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:04:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 1 OK subtract 6961 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:04:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 2 OK subtract 6961 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:05:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961-6961 = -1066-6961 left 1 OK left 5421y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:05:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y = -1066-6961 right 1 OK right -5895 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:05:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y = -5895 strategic 1 OK divide 5421 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:05:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y/5421 = -5895/5421 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:06:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -5895/5421 right 1 OK right 1.087 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:06:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 3 ERROR answer-check 1.087 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:06:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y = -5895 strategic 2 OK divide 5421 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:06:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y/5421 = -5895/5421 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:09:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -5895/5421 right 2 OK right -1.087 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:09:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 4 ERROR answer-check -1.0874 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:09:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 5 ERROR answer-check 1.0874 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:15:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 6 OK subtract 6961 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:15:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961-6961 = -1066-6961 left 2 OK left 5421y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:15:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y = -1066-6961 right 2 OK right -8027 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:16:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y = -8027 strategic 1 OK divide 5421 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:16:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y/5421 = -8027/5421 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:22:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -8027/5421 right 1 OK right 1.4807 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:23:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 7 ERROR answer-check 1.4807 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:23:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5421y+6961 = -1066 strategic 8 OK answer-check -1.4807 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:23:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x+3.33 = 6.38 strategic 1 OK subtract 3.33 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:24:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x+3.33-3.33 = 6.38-3.33 left 1 OK left -13.84x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:24:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x = 6.38-3.33 right 1 OK right 3.05 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:24:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x = 3.05 strategic 1 OK divide -13.84 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:24:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x/-13.84 = 3.05/-13.84 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:25:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 3.05/-13.84 right 1 OK right -4.53 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:25:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x+3.33 = 6.38 strategic 2 ERROR answer-check -13.84 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:25:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x = 3.05 strategic 2 OK divide -13.84 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:25:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x/-13.84 = 3.05/-13.84 left 2 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:28:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 3.05/-13.84 right 2 OK right -0.22 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:28:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.84x+3.33 = 6.38 strategic 3 OK answer-check -.2204 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:29:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -49+(-54x) = 86 strategic 1 OK add 49 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:29:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -49+(-54x) = 86 strategic 2 OK add 49 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:29:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -49+(-54x)+49 = 86+49 left 1 OK left -54x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:29:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54x = 86+49 right 1 OK right 135 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:29:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54x = 135 strategic 1 OK divide -54 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:30:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -54x/-54 = 135/-54 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:30:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 135/-54 right 1 OK right -2.5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:31:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -49+(-54x) = 86 strategic 1 OK answer-check -2.5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.44 = 95.1+(-19.2y) strategic 1 OK subtract 95.1 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:31:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.44-95.1 = 95.1+(-19.2y)-95.1 right 1 OK right -19.2y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:32:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.44-95.1 = -19.2y left 1 OK left -85.66 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:32:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -85.66 = -19.2y strategic 1 OK divide -19.2 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:32:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -85.66/-19.2 = -19.2y/-19.2 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:33:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -85.66/-19.2 = y left 1 OK left 4.46 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:33:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 9.44 = 95.1+(-19.2y) strategic 2 OK answer-check 4.4615 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -12.71x+12.98 strategic 1 OK subtract 12.98 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:33:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59-12.98 = -12.71x+12.98-12.98 left 1 OK left 1.9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:33:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -12.71x+12.98 strategic 2 OK subtract 12.98 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:34:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59-12.98 = -12.71x+12.98-12.98 right 1 OK right 12.71x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:34:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59-12.98 = 12.71x left 1 OK left -9.39 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:34:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39 = 12.71x strategic 1 OK divide 12.71 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:34:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39/12.71 = 12.71x/12.71 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:35:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39/12.71 = x left 1 OK left -0.738 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:35:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -12.71x+12.98 strategic 3 ERROR answer-check -0.7388 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:35:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39 = 12.71x strategic 2 OK divide 12.71 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:35:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39/12.71 = 12.71x/12.71 right 2 OK right x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:36:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39/12.71 = x left 2 OK left -.7387 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:37:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -12.71x+12.98 strategic 4 OK subtract 12.98 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:37:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59-12.98 = -12.71x+12.98-12.98 left 2 OK left -9.39 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:37:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39 = -12.71x+12.98-12.98 right 1 OK right -12.71x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39 = -12.71x strategic 1 OK divide -12.71 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:38:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -9.39/-12.71 = -12.71x/-12.71 left 1 OK left .7388 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:38:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.73878836 = -12.71x/-12.71 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:38:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.59 = -12.71x+12.98 strategic 5 OK answer-check 0.7388 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:39:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x+25 = -63 strategic 1 OK subtract 25 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:39:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x+25-25 = -63-25 left 1 OK left 26x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:39:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x = -63-25 right 1 OK right -88 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:39:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x = -88 strategic 1 OK divide 26 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:39:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x/26 = -88/26 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:40:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = -88/26 right 1 OK right -3.38 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:40:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 26x+25 = -63 strategic 2 OK answer-check -3.38 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:40:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 1 OK add 14.31 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:40:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+14.31 = -10.58y+(-14.31)+14.31 right 1 OK right -10.58y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:41:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+14.31 = -10.58y left 1 OK left 13.94 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:41:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94 = -10.58y strategic 1 OK divide -10.58 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:41:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94/-10.58 = -10.58y/-10.58 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:41:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94/-10.58 = y left 1 OK left -1.31 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:41:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 2 ERROR answer-check -1.31 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:42:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 3 BUG add -14.31 To remove -14.31 from the right side, you can add a positive to it. Erase your last step and add 14.31 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:42:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+(-14.31) = -10.58y+(-14.31)+(-14.31) right 1 OK right -10.58y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:42:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+(-14.31) = -10.58y left 1 OK left -14.68 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:42:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.68 = -10.58y strategic 1 OK divide -10.58 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:43:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.68/-10.58 = -10.58y/-10.58 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:43:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.68/-10.58 = y left 1 OK left -1.38 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:43:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 4 ERROR answer-check -1.38 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:46:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 5 OK add 14.31 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:46:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+14.31 = -10.58y+(-14.31)+14.31 right 2 OK right -10.58y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:46:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37+14.31 = -10.58y left 2 OK left 13.94 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:46:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94 = -10.58y strategic 2 OK divide -10.58 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:47:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94/-10.58 = -10.58y/-10.58 right 2 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:47:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.94/-10.58 = y left 2 OK left -1.3175 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -0.37 = -10.58y+(-14.31) strategic 6 OK answer-check -1.3176 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:48:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 9328 = 5315x+2595 strategic 1 ERROR subtract 2535 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:48:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 9328-2535 = 5315x+2595-2535 right 1 OK right 5315x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:48:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 9328-2535 = 5315x left 1 OK left 6793 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:48:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6793 = 5315x strategic 1 OK divide 5315 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:48:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6793/5315 = 5315x/5315 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:49:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6793/5315 = x left 1 OK left 1.27 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:49:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 9328 = 5315x+2595 strategic 2 OK answer-check 1.27 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:50:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.65+(-12.01y) = -9.62 strategic 1 OK add 2.65 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.65+(-12.01y)+2.65 = -9.62+2.65 left 1 OK left -12.01y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:50:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -12.01y = -9.62+2.65 right 1 OK right -6.97 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:50:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -12.01y = -6.97 strategic 1 OK divide -12.01 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:50:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -12.01y/-12.01 = -6.97/-12.01 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:51:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C y = -6.97/-12.01 right 1 OK right 0.58 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:51:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.65+(-12.01y) = -9.62 strategic 2 OK answer-check 0.5803 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:51:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 59 = -85/x+30 strategic 1 OK subtract 30 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:51:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 29 = -85/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 29x = -85 strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 59 = -85/x+30 strategic 2 OK answer-check -85/29 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -51 = 13/x+(-84) strategic 1 ERROR subtract -3 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -48 = 13/x-81 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -48x = (13/x-81)*x strategic 1 ERROR divide -35 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session0 2007-04-19 10:52:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 48x/35 = -(13/x-81)*x/35 strategic 1 ERROR rf 48x/35 = -(13/x-81)*x/35 strategic condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:45:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -51 = 13/x+(-84) strategic 1 OK add 84 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:46:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 33 = 13/x strategic 1 BUG multiply 13 To remove 13/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 13/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:48:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -51 = 13/x+(-84) strategic 2 OK add 84 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:48:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 33 = 13/x strategic 2 BUG multiply 13 To remove 13/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 13/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:48:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 33 = 13/x strategic 3 BUG multiply 33 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:51:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 33 = 13/x strategic 4 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 33x = 13 strategic 1 OK divide 33 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -51 = 13/x+(-84) strategic 3 OK answer-check 13/33 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 984/y+(-362) = 336 strategic 1 OK add 362 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:55:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 984/y = 698 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 984 = 698y strategic 1 OK divide 698 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:55:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 984/y+(-362) = 336 strategic 2 OK answer-check 492/349 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:56:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 933/x+(-767) = -932 strategic 1 OK add 767 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:56:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 933/x = -165 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:56:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 933 = -165x strategic 1 OK divide -165 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:56:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 933/x+(-767) = -932 strategic 2 OK answer-check -311/55 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:57:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y+18 = 60 strategic 1 OK subtract 18 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:57:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y+18-18 = 60-18 left 1 OK left 30/y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:57:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y = 60-18 right 1 OK right 42 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:57:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y = 42 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y*y = 42y left 1 OK left 30y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y = 42 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y*y = 42y left 2 OK left 30 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30 = 42y right 1 OK right 42y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30 = 42y strategic 1 OK divide 42 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/42 = 42y/42 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/42 = y left 1 OK left .71 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:58:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 30/y+18 = 60 strategic 2 OK answer-check .71 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:59:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 333 = -542/y+(-544) strategic 1 OK add 544 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 09:59:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 333+544 = -542/y+(-544)+544 left 1 OK left 877 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:00:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877 = -542/y+(-544)+544 right 1 OK right -542/y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877 = -542/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877y = -542/y*y left 1 OK left 877y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877y = -542/y*y right 1 OK right -542 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877y = -542 strategic 1 OK divide 877 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 877y/877 = -542/877 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -542/877 right 1 OK right -.618 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:03:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 333 = -542/y+(-544) strategic 2 OK answer-check -0.6180 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:03:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -124+(-884/y) = 293 strategic 1 OK add 124 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:03:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -124+(-884/y)+124 = 293+124 left 1 OK left -884/y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:04:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/y = 293+124 right 1 OK right 417 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:04:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/y = 417 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/y*y = 417y right 1 OK right 417y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/y*y = 417y left 1 OK left -884 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884 = 417y strategic 1 OK divide 417 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/417 = 417y/417 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -884/417 = y left 1 OK left -2.11 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:05:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -124+(-884/y) = 293 strategic 2 ERROR answer-check -2.11 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:10:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -124+(-884/y) = 293 strategic 3 OK answer-check -2.1199 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 217 = 510/x+(-852) strategic 1 OK add 852 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 217+852 = 510/x+(-852)+852 left 1 OK left 1069 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069 = 510/x+(-852)+852 right 1 OK right 510/x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069 = 510/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069x = 510/x*x left 1 OK left 1069x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:11:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069x = 510/x*x right 1 OK right 510 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:12:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069x = 510 strategic 1 OK divide 1069 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:12:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1069x/1069 = 510/1069 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 510/1069 right 1 OK right .477 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 217 = 510/x+(-852) strategic 2 OK answer-check 0.4771 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y+(-6) = -85 strategic 1 OK add 6 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y+(-6)+6 = -85+6 left 1 OK left 68/y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y = -85+6 right 1 OK right -79 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y = -79 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:13:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y*y = -79y left 1 OK left 68 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:14:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68 = -79y right 1 OK right -79y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:14:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68 = -79y strategic 1 OK divide -79 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:14:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/-79 = -79y/-79 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:14:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/-79 = y left 1 OK left -0.860 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:14:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 68/y+(-6) = -85 strategic 2 OK answer-check -0.8608 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:15:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2x+(-7) = -9x+3 strategic 1 OK add 7 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2x = -9x+10 strategic 1 OK add 9x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 11x = 10 strategic 1 OK divide 11 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2x+(-7) = -9x+3 strategic 2 OK answer-check 10/11 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+(-9y) = -9y+(-5) strategic 1 OK add 8 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y = -9y+3 strategic 1 ERROR add -9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:16:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y = -9y+3 strategic 2 ERROR add -9y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:17:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y = -9y+3 strategic 3 OK add 9y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:18:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-6y) = 7+9y strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:18:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6y = 16+9y strategic 1 OK add 6y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:18:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6y = 16+9y strategic 2 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:19:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -15y = 16 strategic 1 OK divide -15 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:19:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-6y) = 7+9y strategic 2 OK answer-check -16/15 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:22:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+9 = -8y+(-9) strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:22:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+18 = -8y strategic 1 ERROR subtract 18 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:22:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+18 = -8y strategic 2 ERROR add -7y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:25:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+9 = -8y+(-9) strategic 2 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:25:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+18 = -8y strategic 3 OK add 7y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 18 = -y strategic 1 OK multiply -1 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7y+9 = -8y+(-9) strategic 3 OK answer-check -18 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+(-2x) = -4x+0 strategic 1 OK add 5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2x = -4x+5 strategic 1 OK add 2x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2x = -4x+5 strategic 2 OK add 4x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:26:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = 5 strategic 1 OK divide 2 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:27:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5+(-2x) = -4x+0 strategic 2 OK answer-check 5/2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:27:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y = 8+(-3y) strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:27:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y = 8+(-3y) strategic 2 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:27:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y+9 = 8+(-3y)+9 left 1 OK left 4y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y = 8+(-3y)+9 right 1 OK right 17+-3y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y = 17+(-3y) strategic 1 OK add -3y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y+(-3y) = 17+(-3y)+(-3y) left 1 OK left -7y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7y = 17+(-3y)+(-3y) right 1 OK right 17 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7y = 17 strategic 1 OK divide -7 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:28:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7y/-7 = 17/-7 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:29:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 17/-7 right 1 OK right -2.4285 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:29:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y = 8+(-3y) strategic 3 ERROR answer-check -2.4286 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y = 8+(-3y) strategic 4 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y+3y = 8+(-3y)+3y left 1 OK left -9+7y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+7y = 8+(-3y)+3y right 1 OK right 8 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+7y = 8 strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+7y+9 = 8+9 left 1 OK left 7y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 8+9 right 1 OK right 17 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 17 strategic 1 OK divide 7 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y/7 = 17/7 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 17/7 right 1 OK right 2.4285 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:34:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9+4y = 8+(-3y) strategic 5 OK answer-check 2.4286 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:36:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1x) = -9+4x strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:36:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1x)+4 = -9+4x+4 left 1 OK left -1x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = -9+4x+4 right 1 OK right 4x+-5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 4x+(-5) strategic 1 OK add 1x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 4x+(-5) strategic 2 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x-4x = 4x+(-5)-4x left 1 OK left -5x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = 4x+(-5)-4x right 1 OK right -5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = -5 strategic 1 BUG divide 5 In this equation, x is multiplied by -5. Dividing by 5 leaves -x, so you still need to remove the negative sign. It is better to divide by -5, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = -5 strategic 2 OK divide -5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:37:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x/-5 = -5/-5 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:38:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -5/-5 right 1 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1x) = -9+4x strategic 2 OK answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:39:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 0+6y strategic 1 OK subtract 0 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:39:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3-0 = 0+6y-0 left 1 OK left -5y+3 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:39:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 0+6y-0 right 1 OK right 6y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:39:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 6y strategic 1 ERROR add -5 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 6y strategic 2 OK add -5y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3+(-5y) = 6y+(-5y) left 1 OK left 3 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 6y+(-5y) right 1 OK right 1y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 1y strategic 1 OK unnec-elems 3=1y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 0+6y strategic 2 OK add 0 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3+(-0) = 0+6y+(-0) left 1 OK left -5y+3 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 0+6y+(-0) right 1 OK right 6y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 6y strategic 3 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3+5y = 6y+5y left 1 OK left 3 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:40:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 6y+5y right 1 OK right 11y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3 = 11y strategic 1 OK divide 11 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3/11 = 11y/11 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3/11 = y left 1 OK left .2727 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+3 = 0+6y strategic 3 OK answer-check .2727 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+2x = 3+(-6x) strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:41:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+2x-2 = 3+(-6x)-2 left 1 OK left 2x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2x = 3+(-6x)-2 right 1 OK right 1+-6x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2x = 1+(-6x) strategic 1 ERROR add -6x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2x+(-6x) = 1+(-6x)+(-6x) left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 1+(-6x)+(-6x) right 1 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 1 strategic 1 OK divide 8 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x/8 = 1/8 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 1/8 right 1 OK right .125 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:42:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+2x = 3+(-6x) strategic 2 OK answer-check 0.125 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:47:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 8.86+(-6.1x) = -3.34x+(-4.12) strategic 1 OK add 4.12 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:47:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 12.98-6.1x = -3.34x strategic 1 OK add 6.1x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:47:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 12.98 = 2.76x strategic 1 OK divide 2.76 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:48:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 8.86+(-6.1x) = -3.34x+(-4.12) strategic 2 OK answer-check 4.7029 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.22+7.27y = 1.23y+(-0.25) strategic 1 OK add 1.22 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:50:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.27y = 1.23y+0.97 strategic 1 OK subtract 1.23y condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:50:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.04y = 0.97 strategic 1 OK divide 6.04 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:50:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.22+7.27y = 1.23y+(-0.25) strategic 2 OK answer-check .1606 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:51:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 0.32+7.37x = 0.45x+(-4.84) strategic 1 OK add 4.84 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:51:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 5.16+7.37x = 0.45x strategic 1 OK subtract .45x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 5.16+7.37x = 0.45x strategic 2 OK subtract 7.37x condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:51:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 5.16 = -6.92x strategic 1 OK divide -6.92 condition 3 cwctc 247w34xrp1--3--Alg I GmSR249 session1 2007-04-24 10:52:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 0.32+7.37x = 0.45x+(-4.84) strategic 2 OK answer-check -0.7457 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:56:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:56:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:57:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:58:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.58x+(-9.87) = -1.21 strategic 1 OK add 9.87 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:58:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.58x = 8.66 strategic 1 OK divide -10.58 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.58x+(-9.87) = -1.21 strategic 2 OK answer-check -0.8185 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1482+1245x = -4321 strategic 1 OK add 1482 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:00:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1245x = -2839 strategic 1 OK divide 1245 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:00:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -1482+1245x = -4321 strategic 2 OK answer-check -2839/1245 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:00:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -13.94 = -10.68x+(-6.84) strategic 1 ERROR subtract -8.85 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.09 = -10.68x+2.01 strategic 1 ERROR divide 33.47 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:01:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -13.94 = -10.68x+(-6.84) strategic 2 ERROR answer-check 0.9854 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:01:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.15207649 = 0.0298775(-10.68x+2.01) strategic 1 OK distribute 0.0298775(-10.68x+2.01) condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.15207649 = -0.3190917x+0.06005377 strategic 1 ERROR clt -0.15207649 = -0.3190917x+0.06005377 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:03:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.15207649 = -0.3190917x+0.06005377 strategic 2 OK subtract 0.0601 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:03:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -0.21213026 = -0.3190917x strategic 1 BUG divide -0.2121 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:04:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 1.00014267 = 1.50443989x strategic 1 OK divide 1.5044 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:04:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -13.94 = -10.68x+(-6.84) strategic 3 OK answer-check 0.6648 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:06:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6323y+540 = 4754 strategic 1 ERROR add 16 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:06:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6323y+556 = 4770 strategic 1 OK subtract 556 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:06:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6323y = 4214 strategic 1 OK divide 6323 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:07:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6323y+540 = 4754 strategic 2 OK answer-check 4214/6323 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:07:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = 92y+27 strategic 1 OK subtract 27 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:07:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -74 = 92y strategic 1 OK divide 92 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -47 = 92y+27 strategic 2 OK answer-check -37/46 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 1 ERROR distribute 0.43 = -3.75+(-1.12x) strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 2 OK subtract -3.75 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 4.18 = -1.12x strategic 1 BUG divide 1.12 In this equation, x is multiplied by -1.12. Dividing by 1.12 leaves -x, so you still need to remove the negative sign. It is better to divide by -1.12, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 3 ERROR answer-check 3.7321 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:09:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 3.73214286 = -x strategic 1 BUG divide 1 In this equation, x is multiplied by -1. Dividing by 1 leaves -x, so you still need to remove the negative sign. It is better to divide by -1, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:10:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 4 ERROR answer-check 0 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:10:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 5 ERROR add 30.48 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:10:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 30.91 = 26.73-1.12x strategic 1 BUG add 26.73 Since 26.73 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 26.73 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:13:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 57.64 = 53.46-1.12x strategic 1 ERROR divide 9.39 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:16:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 6 OK add 3.75 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 4.18 = -1.12x strategic 2 OK divide -1.12 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 0.43 = -3.75+(-1.12x) strategic 7 OK answer-check -3.7321 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:20:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 1 ERROR add -13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:21:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 2 ERROR add 13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:21:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 21.99-13.05y = 12.57 strategic 1 ERROR add 13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:21:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 3 ERROR subtract 13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:22:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 4 ERROR subtract 13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:22:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 5 ERROR subtract -13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:23:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 6 OK subtract 8.94 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -13.05y = -9.42 strategic 1 OK divide -13.05 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 8.94+(-13.05y) = -0.48 strategic 7 OK answer-check 0.7218 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 10+(-46x) = -12 strategic 1 OK subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -46x = -22 strategic 1 BUG divide 46 In this equation, x is multiplied by -46. Dividing by 46 leaves -x, so you still need to remove the negative sign. It is better to divide by -46, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -46x = -22 strategic 2 OK divide -46 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 10+(-46x) = -12 strategic 2 OK answer-check 11/23 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:24:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 1 ERROR subtract 4995 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:26:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349-4995 = 4995y+(-7856)-4995 left 1 OK left -1646 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:26:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 2 OK add 7856 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349+7856 = 4995y+(-7856)+7856 left 1 OK left -4507 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:27:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4507 = 4995y+(-7856)+7856 right 1 OK right 4995y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:27:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4507 = 4995y strategic 1 OK divide 4995 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4507/4995 = 4995y/4995 left 1 OK left 0.920230 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:28:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 0.92023 = 4995y/4995 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:28:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 3 ERROR answer-check 0.9202 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:29:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 4 BUG subtract 7856 Since -7856 is negative, you should add to remove it from the right side. Erase your last step and add 7856 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:29:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349-7856 = 4995y+(-7856)-7856 left 1 OK left -4507 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:29:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4507 = 4995y+(-7856)-7856 right 1 OK right 4995y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:29:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4507 = 4995y strategic 2 OK divide 4995 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:31:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 5 OK add 7856 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349+7856 = 4995y+(-7856)+7856 left 2 OK left 11205 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:31:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11205 = 4995y+(-7856)+7856 right 1 OK right 4995y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:34:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11205 = 4995y strategic 1 OK divide 4995 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:34:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 11205/4995 = 4995y/4995 left 1 OK left 2.243243243 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:35:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2.24324324 = 4995y/4995 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:36:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3349 = 4995y+(-7856) strategic 6 OK answer-check 2.2432 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:36:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -10.1+(-11.88y) = 8.29 strategic 1 OK subtract -10.1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:37:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -10.1+(-11.88y)-(-10.1) = 8.29-(-10.1) left 1 OK left -1.78 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:37:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -10.1+(-11.88y) = 8.29 strategic 2 OK subtract -10.1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:37:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -10.1+(-11.88y)-(-10.1) = 8.29-(-10.1) left 2 OK left -11.88y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.88y = 8.29-(-10.1) right 1 OK right 18.39 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:38:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.88y = 18.39 strategic 1 OK divide -11.88 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:38:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.88y/-11.88 = 18.39/-11.88 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:39:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = 18.39/-11.88 right 1 OK right -1.54797 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:39:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -10.1+(-11.88y) = 8.29 strategic 3 OK answer-check -1.5480 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:39:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -43+(-8y) = 22 strategic 1 OK subtract -43 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:39:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -43+(-8y)-(-43) = 22-(-43) left 1 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:39:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -8y = 22-(-43) right 1 OK right 65 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:40:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -8y = 65 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:40:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -8y/-8 = 65/-8 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:40:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 65/-8 right 1 OK right -8.125 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:40:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -43+(-8y) = 22 strategic 2 OK answer-check -8.125 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:41:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x+10.57 = -5.5 strategic 1 OK subtract 10.57 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:41:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x+10.57-10.57 = -5.5-10.57 left 1 OK left 9.68x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:41:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x = -5.5-10.57 right 1 OK right -16.07 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x = -16.07 strategic 1 OK divide 9.68 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:41:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x/9.68 = -16.07/9.68 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:42:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -16.07/9.68 right 1 OK right -1.6601239 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:43:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 9.68x+10.57 = -5.5 strategic 2 OK answer-check -1.6601 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:43:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -602 = 612+432/x strategic 1 OK subtract 612 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:43:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -1214 = 432/x strategic 1 BUG multiply 432 To remove 432/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 432/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:44:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -602 = 612+432/x strategic 2 OK subtract 612 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:44:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -1214 = 432/x strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:44:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -1214x = 432 strategic 1 OK divide -1214 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:44:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -602 = 612+432/x strategic 3 OK answer-check -216/607 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:47:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 953 = -300/y+(-522) strategic 1 OK add 522 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:47:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1475 = -300/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:47:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1475y = -300 strategic 1 BUG divide -300 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:47:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 953 = -300/y+(-522) strategic 2 BUG subtract 522 Since -522 is negative, you should add to remove it from the right side. Erase your last step and add 522 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 431 = -300/y-1044 strategic 1 OK add 1044 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1475 = -300/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 1475y = -300 strategic 2 OK divide 1475 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 953 = -300/y+(-522) strategic 3 OK answer-check -12/59 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 60 = 6/x+69 strategic 1 OK subtract 69 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:48:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9 = 6/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9x = 6 strategic 1 OK divide -9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:49:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 60 = 6/x+69 strategic 2 OK answer-check -2/3 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:49:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 100/y+(-70) = -41 strategic 1 BUG subtract 70 Since -70 is negative, you should add to remove it from the left side. Erase your last step and add 70 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:49:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 100/y-140 = -111 strategic 1 OK add 140 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 100/y = 29 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:50:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 100 = 29y strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 100/y+(-70) = -41 strategic 2 OK answer-check 100/29 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:50:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 1 OK subtract 981 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y)-981 = -297-981 left 1 OK left -294/y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:54:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y = -297-981 right 1 OK right -1278 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y = -1278 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y*y = -1278y left 1 OK left -294 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session0 2007-04-19 10:56:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294 = -1278y right 1 OK right -1278y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:46:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294 = -1278y strategic 1 OK divide -1278 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:46:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/-1278 = -1278y/-1278 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:46:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/-1278 = y left 1 OK left -0.230046 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:46:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 1 ERROR answer-check -0.2300y condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:46:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 2 OK subtract 981 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:47:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y)-981 = -297-981 left 1 OK left -294y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:47:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294y = -297-981 right 1 OK right -1278 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:47:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294y = -1278 strategic 1 OK divide -294 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:47:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294y/-294 = -1278/-294 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:48:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -1278/-294 right 1 OK right 4.3469 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:48:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 3 ERROR answer-check 4.3469 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:48:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 4 ERROR distribute 981+(-294/y) = -297 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 5 OK subtract 981 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y)-981 = -297-981 left 2 OK left -294/y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y = -297-981 right 1 OK right -1278 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y = -1278 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/y*y = -1278y left 1 OK left -294 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:49:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294 = -1278y right 1 OK right -1278y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294 = -1278y strategic 2 OK divide -1278 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:50:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/-1278 = -1278y/-1278 right 2 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:50:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -294/-1278 = y left 2 OK left 0.2300 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:50:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 981+(-294/y) = -297 strategic 6 OK answer-check 0.23004 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:50:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/x+59 = -74 strategic 1 OK subtract 59 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:51:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/x+59-59 = -74-59 left 1 OK left -34/y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:51:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/y = -74-59 right 1 OK right -133 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:52:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/y = -133 strategic 1 BUG multiply y You already solved the equation. -34/y can never be equal to -133, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:52:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/y*y = -133y left 1 OK left -34 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:52:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34 = -133y right 1 OK right -133y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34 = -133y strategic 1 BUG divide -133 You already solved the equation. -34 can never be equal to -133y, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/-133 = -133y/-133 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/-133 = y left 1 OK left 0.255639 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -34/x+59 = -74 strategic 2 OK answer-check 0.2556390 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+84/y = -52 strategic 1 OK subtract -79 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+84/y-(-79) = -52-(-79) left 1 OK left 84/y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:53:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84/y = -52-(-79) right 1 OK right 27 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84/y = 27 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84/y*y = 27y left 1 OK left 84 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84 = 27y right 1 OK right 27y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84 = 27y strategic 1 OK divide 27 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 84/27 = 27y/27 left 1 OK left 3.11111111 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 3.11111111 = 27y/27 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+84/y = -52 strategic 2 OK answer-check 3.1111111111 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:54:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 1 OK add 852 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623+852 = 963/x+(-852)+852 left 1 OK left 229 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:55:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 229 = 963/x+(-852)+852 right 1 OK right 963/x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 229 = 963/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 229x = 963/x*x left 1 OK left 299x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:56:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 299x = 963/x*x right 1 OK right 963 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:57:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 299x = 963 strategic 1 OK divide 299 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:57:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 299x/299 = 963/299 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:57:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 963/299 right 1 OK right 3.220735 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:57:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 2 ERROR answer-check 3.2207 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:57:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 3 ERROR answer-check 3.220735 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:58:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 4 OK subtract -852 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:58:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623-(-852) = 963/x+(-852)-(-852) right 1 OK right 963/x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:59:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623-(-852) = 963/x left 1 OK left -1.3675 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:59:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675 = 963/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 09:59:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x = 963/x*x right 1 OK right 963 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:00:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675 = 963/x strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:00:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x = 963/x*x left 1 OK left -1.3675 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:00:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675 = 963/x*x right 1 OK right 963 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:00:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675 = 963/x strategic 3 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x = 963/x*x left 2 OK left -1.3675x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x = 963/x*x right 2 OK right 963 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x = 963 strategic 1 BUG multiply -1.3675 To remove the coefficient of -1.3675x, you need to divide. Erase your last step and then divide both sides by -1.3675. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.3675x*(-1.3675) = 963*(-1.3675) left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 963*(-1.3675) right 1 OK right -704.20475 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 5 ERROR answer-check -704.2048 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:02:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -623 = 963/x+(-852) strategic 6 OK answer-check 963/229 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:02:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -70+56/x = -31 strategic 1 OK subtract -70 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:02:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -70+56/x-(-70) = -31-(-70) left 1 OK left 56/x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:03:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56/x = -31-(-70) right 1 OK right 39 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:03:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56/x = 39 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:03:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56/x*x = 39x left 1 OK left 56 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:03:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56 = 39x right 1 OK right 39x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:04:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56 = 39x strategic 1 OK divide 39 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:04:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56/39 = 39x/39 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:04:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 56/39 = x left 1 OK left 1.43589 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:04:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -70+56/x = -31 strategic 2 OK answer-check 1.4359 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 99+67/x = -46 strategic 1 OK subtract 99 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 99+67/x-99 = -46-99 left 1 OK left 67/x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67/x = -46-99 right 1 OK right -145 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67/x = -145 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67/x*x = -145x left 1 OK left 67 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:05:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67 = -145x right 1 OK right -145x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:06:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67 = -145x strategic 1 OK divide -145 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:06:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67/-145 = -145x/-145 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:06:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 67/-145 = x left 1 OK left -0.462068 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:07:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 99+67/x = -46 strategic 2 OK answer-check -0.462068965 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:07:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 1 ERROR distribute -9+8y = 2y+1 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:07:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 2 ERROR clt -9+8y = 2y+1 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:08:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 3 ERROR distribute -9+8y = 2y+1 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:08:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 4 ERROR clt -9+8y = 2y+1 strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:08:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 5 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 8y = 2y+10 strategic 1 OK subtract 2y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:09:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 6y = 10 strategic 1 OK divide 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:09:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9+8y = 2y+1 strategic 6 OK answer-check 5/3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:09:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:09:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 1 ERROR add 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:10:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x+8 = -5x strategic 1 ERROR subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:11:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 2 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:11:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 2 ERROR subtract -5 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:12:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 3 ERROR add -7 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:13:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 4 ERROR subtract -7 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:13:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 5 ERROR distribute 6+(-7x) = -5x+(-2) strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:14:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 6 BUG add 6 Since 6 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 7 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:15:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 3 ERROR add 5 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:15:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 4 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2x = -8 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:17:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-7x) = -5x+(-2) strategic 8 OK answer-check 4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:17:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+(-5y) = 9y+2 strategic 1 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:17:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y = 9y-6 strategic 1 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:18:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -14y = -6 strategic 1 OK divide -14 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:18:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+(-5y) = 9y+2 strategic 2 OK answer-check 3/7 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:18:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3+2x = -3+(-6x) strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:18:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3+2x = -3+(-6x) strategic 2 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 1 ERROR subtract 6y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 2 BUG divide -6 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 3 ERROR subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 4 ERROR add 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 5 ERROR add -6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:19:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 6 ERROR clt 2x = -6x strategic condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:20:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3+2x = -3+(-6x) strategic 3 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:20:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -6x strategic 7 OK add 6x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8x = 0 strategic 1 OK divide 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:21:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3+2x = -3+(-6x) strategic 4 OK answer-check 0 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:22:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1) = -7x+9 strategic 1 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:22:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1)+1 = -7x+9+1 left 1 OK left -9x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:22:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x = -7x+9+1 right 1 OK right -7x+8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:22:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x = -7x+8 strategic 1 ERROR subtract -7 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x-(-7) = -7x+8-(-7) left 1 OK left -2x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -7x+8-(-7) right 1 OK right 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 8 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = 8/-2 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 8/-2 right 1 OK right -4 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:23:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1) = -7x+9 strategic 2 ERROR answer-check -4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1) = -7x+9 strategic 3 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1)+1 = -7x+9+1 left 2 OK left -9x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x = -7x+9+1 right 2 OK right -7x+10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x = -7x+10 strategic 1 OK add 7x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+7x = -7x+10+7x left 1 OK left -2x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -7x+10+7x right 1 OK right 10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 10 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = 10/-2 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 10/-2 right 1 OK right -5 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:24:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+(-1) = -7x+9 strategic 4 OK answer-check -5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:25:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4) = -5y+2 strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:25:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4)+4 = -5y+2+4 left 1 OK left 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:25:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+2+4 right 1 OK right -5y+6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+6 strategic 1 OK subtract 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:26:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y-5y = -5y+6-5y left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:26:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -5y+6-5y right 1 OK right 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:26:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4) = -5y+2 strategic 2 ERROR answer-check 6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:28:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4) = -5y+2 strategic 3 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:28:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4)+4 = -5y+2+4 left 2 OK left 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:29:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+2+4 right 2 OK right -5y+6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:29:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+6 strategic 2 ERROR subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:29:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y-6 = -5y+6-6 left 1 OK left 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:29:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4) = -5y+2 strategic 4 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:29:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4)+4 = -5y+2+4 left 3 OK left 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:30:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+2+4 right 3 OK right -5y+6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:30:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -5y+6 strategic 3 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+5y = -5y+6+5y left 1 OK left 10y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -5y+6+5y right 1 OK right 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = 6 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y/10 = 6/10 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6/10 right 1 OK right .6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y+(-4) = -5y+2 strategic 5 OK answer-check .6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+7y = -7y+(-9) strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+7y-2 = -7y+(-9)-2 left 1 OK left 7y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = -7y+(-9)-2 right 1 OK right -7y+-11 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = -7y+(-11) strategic 1 OK add 7y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+7y = -7y+(-11)+7y right 1 OK right -11 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+7y = -11 left 1 OK left 14 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = -7y+(-11) strategic 2 OK add 7y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+7y = -7y+(-11)+7y left 1 OK left 14y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7y+(-11)+7y right 1 OK right -11 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -11 strategic 1 OK divide 14 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:32:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y/14 = -11/14 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:33:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -11/14 right 1 OK right -0.785714 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:33:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2+7y = -7y+(-9) strategic 2 OK answer-check -0.7857 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:33:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+0 = -9+9y strategic 1 OK add 0 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:34:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+0+(-0) = -9+9y+(-0) left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:34:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = -9+9y+(-0) right 1 OK right 9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:34:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+0 = -9+9y strategic 2 OK subtract 0 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:35:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+0-0 = -9+9y-0 left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:37:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = -9+9y-0 right 1 OK right -9+9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:37:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = -9+9y strategic 1 OK add 9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:37:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+9y = -9+9y+9y left 1 OK left 0y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:37:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0y = -9+9y+9y right 1 OK right -9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:39:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y+10 = -6+(-2y) strategic 1 OK subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:39:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = -16-2y left 1 OK left 3y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:39:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = -16-2y right 1 OK right -16+-2y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:41:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = -16-2y strategic 1 OK add 2y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -16 left 1 OK left 5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -16 right 1 OK right -16 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5y = -16 strategic 1 OK divide 5 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -16/5 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -16/5 right 1 OK right -3.2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y+10 = -6+(-2y) strategic 2 OK answer-check -3.2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9 = -1+(-1x) strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:42:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -10-x left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:44:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -10-x right 1 OK right -10+-1x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:45:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -10-x strategic 1 ERROR divide x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:45:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8 = (-10-x)/x left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:45:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = (-10-x)/x right 1 OK right -10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:45:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -10 strategic 1 OK divide 8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:45:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -5/4 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:46:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -5/4 right 1 OK right -1.25 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:46:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9 = -1+(-1x) strategic 2 ERROR answer-check -1.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:46:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -10-x strategic 2 OK add 1x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:46:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -10 left 1 OK left 9x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:46:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -10 right 1 OK right -10 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -10 strategic 1 OK divide 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -10/9 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -10/9 right 1 OK right -1.111111 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+9 = -1+(-1x) strategic 3 OK answer-check -1.11111111 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+1y = 6y+7 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:47:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 left 1 OK left 1y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:48:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 right 1 OK right 6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:48:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 strategic 1 OK unnec-elems 1y=6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:48:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+1y = 6y+7 strategic 2 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:48:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 left 2 OK left 1y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:48:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 right 2 OK right 6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:49:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 strategic 2 OK unnec-elems 1y=6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:49:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 strategic 1 OK subtract 6y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:49:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = 1 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:49:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1 right 1 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:49:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+1y = 6y+7 strategic 3 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+1y = 6y+7 strategic 4 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:50:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 left 3 OK left 1y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:50:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 right 3 OK right 6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:50:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 6y+1 strategic 3 OK unnec-elems 1y=6y+1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 strategic 2 OK subtract 6y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = 1 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1 right 2 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1 strategic 1 BUG divide 1 You already solved the equation. y is 1. BUG condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1 right 3 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:52:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 6y+1 strategic 3 OK subtract 6y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:52:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = 1 left 3 OK left -5y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:52:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = 1 right 1 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:52:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = 1 strategic 1 OK divide -5 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:52:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -1/5 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -1/5 right 1 OK right -.2 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:53:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6+1y = 6y+7 strategic 5 OK answer-check -0.2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y+9 = -9y+(-10) strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 left 1 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 right 1 OK right -9y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y+9 = -9y+(-10) strategic 2 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 left 2 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 right 2 OK right -9y+-19 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:54:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 strategic 1 ERROR add 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y+9 = -9y-10 left 1 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-10 right 1 OK right 19 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = 19 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -19/8 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -19/8 right 1 OK right -2.375 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y+9 = -9y+(-10) strategic 3 ERROR answer-check -2.375 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y+9 = -9y+(-10) strategic 4 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I H9R2j01 session1 2007-04-24 10:56:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -9y-19 left 3 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I HsN9sHn session0 2007-04-27 08:27:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:28:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 34 = 51y+7 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:28:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 27 = 51y strategic 1 OK divide 51 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -21.91x+(-44.14) = 28 strategic 1 OK add 44.14 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:29:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 -21.91x = 72.14 strategic 1 OK divide -21.91 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:30:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 8.64+4.17y = 4.47 strategic 1 BUG add 8.64 Since 8.64 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 8.64 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 8.64+4.17y = 4.47 strategic 2 OK subtract 8.64 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:30:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 4.17y = -4.17 strategic 1 OK divide 4.17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:30:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -5y+97 = -27 strategic 1 OK subtract 97 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:30:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -5y = -124 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 7146y+(-4483) = 7424 strategic 1 OK add 4483 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:31:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 7146y = 11907 strategic 1 OK divide 7146 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 13.51 = 7.89+(-10.19x) strategic 1 OK subtract 7.89 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:31:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 5.62 = -10.19x strategic 1 OK divide -10.19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:32:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y+(-98.93) = -55.29 strategic 1 OK add 98.93 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:32:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y+(-98.93)+98.93 = -55.29+98.93 left 1 ERROR left -8.87y+98.93 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:32:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y+(-98.93)+98.93 = -55.29+98.93 left 2 OK left -8.87y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y = -55.29+98.93 right 1 OK right 43.64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:33:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y = 43.64 strategic 1 OK divide -8.87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:33:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -8.87y/-8.87 = 43.64/-8.87 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = 43.64/-8.87 right 1 ERROR right -4.91 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = 43.64/-8.87 right 2 ERROR right 203 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:35:57.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 y = 43.64/-8.87 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:36:00.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 1 HINT_LEVEL_CHANGE Type in 43.64/-8.87 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:36:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = 43.64/-8.87 right 3 OK right 43.64/-8.87 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:36:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = 43.64/-8.87 strategic 2 OK rf 43.64/-8.87 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 FinalAnswer strategic 1 ERROR 203 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:36:57.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 FinalAnswer strategic 2 INITIAL_HINT 203 In the above expression you have 43.64/-8.87. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:00.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -8.87 into 43.64. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:04.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 null strategic 3 HINT_LEVEL_CHANGE Type -4.9199549. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 FinalAnswer strategic 3 OK -4.9200 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 75 = 14y+(-71) strategic 1 OK add 71 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 75+71 = 14y+(-71)+71 left 1 OK left 146 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146 = 14y+(-71)+71 right 1 OK right 14y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:37:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146 = 14y strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146/14 = 14y/14 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146/14 = y left 1 OK left 146/14 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146/14 = y strategic 1 OK rf 146/14 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 1 ERROR 14 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 2 OK 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:46.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -8.87 into 43.64. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 146/14 = y strategic 2 OK rf 146/14 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:38:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 3 OK 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row3-N-constant factors strategic 1 OK 73 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row3-D-constant factors strategic 1 OK 7 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:09.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 146/14. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:11.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide 14 into 146. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:15.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 3 HINT_LEVEL_CHANGE Type 73/7. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 2 OK 73/7 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:39:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7158 = 2396+(-4159y) strategic 1 OK subtract 2396 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7158-2396 = 2396+(-4159y)-2396 right 1 OK right -4159y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7158-2396 = -4159y left 1 OK left 4762 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4762 = -4159y strategic 1 OK divide -4159 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4762/-4159 = -4159y/-4159 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4762/-4159 = y left 1 OK left 4762/-4159 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:40:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4762/-4159 = y strategic 1 OK rf 4762/-4159 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:03.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43A FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 4762/-4159. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:05.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -4159 into 4762. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:09.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43A null strategic 2 HINT_LEVEL_CHANGE Type -4762/4159. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A FinalAnswer strategic 2 OK -4762/4159 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 0.01+(-13.22x) = -12.33 strategic 1 OK subtract 0.01 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 0.01+(-13.22x)-0.01 = -12.33-0.01 left 1 OK left -13.22x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:42:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -13.22x = -12.33-0.01 right 1 OK right -12.34 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:42:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -13.22x = -12.34 strategic 1 OK divide -13.22 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:42:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -13.22x/-13.22 = -12.34/-13.22 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:42:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -12.34/-13.22 right 1 OK right -12.34/-13.22 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -12.34/-13.22 strategic 1 OK rf -12.34/-13.22 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:06.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42A FinalAnswer strategic 1 INITIAL_HINT In the above expression you have -12.34/-13.22. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:08.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -13.22 into -12.34. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:11.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42A null strategic 2 HINT_LEVEL_CHANGE Type 0.93343419. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A FinalAnswer strategic 2 OK 0.9334 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 479 = -501+742/y strategic 1 OK add 501 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:43:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 980 = 742/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 980y = 742 strategic 1 OK divide 980 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -88 = -70+(-4/y) strategic 1 OK add 70 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -18 = -4/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -18y = -4 strategic 1 OK divide -18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 65 = 286+(-522/y) strategic 1 OK subtract 286 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -221 = -522/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:44:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -221y = -522 strategic 1 OK divide -221 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:45:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 562/y+810 = 194 strategic 1 OK subtract 810 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:45:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 562/y = -616 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:45:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 562 = -616y strategic 1 BUG divide 562 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:45:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 562 = -616y strategic 2 OK divide -616 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:45:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -590 = -127/y+(-769) strategic 1 OK add 769 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -590+769 = -127/y+(-769)+769 left 1 OK left 179 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179 = -127/y+(-769)+769 right 1 OK right -127/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179 = -127/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179y = -127/y*y left 1 OK left 179y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179y = -127/y*y right 1 OK right -127 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179y = -127 strategic 1 OK divide 179 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 179y/179 = -127/179 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:46:58.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A y = -127/179 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:47:00.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in -127/179 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:47:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -127/179 right 1 OK right -127/179 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:47:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -50 = 46/x+64 strategic 1 OK subtract 64 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:47:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -50-64 = 46/x+64-64 left 1 OK left -114 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114 = 46/x+64-64 right 1 OK right 46/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114 = 46/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114x = 46/x*x left 1 OK left -114x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114x = 46/x*x right 1 OK right 46 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114x = 46 strategic 1 OK divide -114 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -114x/-114 = 46/-114 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = 46/-114 right 1 OK right 46/-114 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = 46/-114 strategic 1 OK rf 46/-114 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:48:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 2 ERROR 6 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:02.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 3 INITIAL_HINT 6 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:06.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 46 and denominator -114? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:11.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 2 HINT_LEVEL_CHANGE -2 will go into both 46 and -114 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 4 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [46]/[-114] is -2. This set of entry boxes represent the simplified form of [46]/[-114]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:36.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:39.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 46, by -2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:43.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Type -23. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 2 OK -23 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:51.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [46]/[-114] is -2. This set of entry boxes represent the simplified form of [46]/[-114]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:53.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 6 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 7 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -114, by -2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:49:59.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 8 HINT_LEVEL_CHANGE Type 57. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 2 OK 57 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK -23/57 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -86 = 299/x+(-751) strategic 1 OK add 751 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -86+751 = 299/x+(-751)+751 left 1 OK left 665 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665 = 299/x+(-751)+751 right 1 OK right 299/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:50:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665 = 299/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x = 299/x*x left 1 ERROR left 655x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x = 299/x*x left 2 ERROR left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x = 299/x*x left 3 OK left 665x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x = 299/x*x right 1 OK right 299 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x = 299 strategic 1 OK divide 665 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 665x/665 = 299/665 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 299/665 right 1 OK right 299/665 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 299/665 strategic 1 BUG rf x = 299/665 strategic You already solved the equation. x is 299/665. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:51:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x+(-11) = -45 strategic 1 OK add 11 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x+(-11)+11 = -45+11 left 1 OK left 30/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x = -45+11 right 1 OK right -34 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x = -34 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x left 1 BUG left 30/x You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x left 2 ERROR left 30x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x right 1 OK right -34x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x left 3 BUG left 30/x You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:54.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:52:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in 30/x*x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x left 4 OK left 30/x*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/x*x = -34x strategic 2 OK mt 30/x*x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-num-node strategic 1 OK 30x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-den-node strategic 1 OK 1x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 ERROR 30x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 2 ERROR 30xx condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:36.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 3 INITIAL_HINT 30xx Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:37.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Type 30x/x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 4 OK 30x/x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:52.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 30x/x = -34x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:53.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:53:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30x/x = -34x strategic 2 OK rf 30x/x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-constant factors strategic 1 OK 30 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-x strategic 1 OK 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 ERROR 30 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 2 ERROR 5 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 3 ERROR 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:18.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 4 INITIAL_HINT 2 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:24.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 4 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 30 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:28.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 5 HINT_LEVEL_CHANGE 1 will go into both 30 and 1 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 5 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 2 OK 30 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 1 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 ERROR 30 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:54:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 5 ERROR 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 6 OK 30/1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:08.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 30/1 = -34x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:09.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/1 = -34x strategic 2 OK rf 30/1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 7 OK 30 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30 = -34x strategic 1 OK divide -34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/-34 = -34x/-34 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/-34 = x left 1 OK left 30/-34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 30/-34 = x strategic 1 OK rf 30/-34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 6 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 7 ERROR 5 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 8 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:55:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 9 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:00.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 7 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 30 and denominator -34? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:03.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 8 HINT_LEVEL_CHANGE -2 will go into both 30 and -34 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 10 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 3 BUG 15 15
Check the sign of your answer. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 4 OK -15 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:25.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [30]/[-34] is -2. This set of entry boxes represent the simplified form of [30]/[-34]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:26.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 9 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:29.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 10 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -34, by -2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 11 HINT_LEVEL_CHANGE Type 17. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 4 OK 17 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:56:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 8 OK -15/17 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -57+50/y = -72 strategic 1 OK add 57 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -57+50/y+57 = -72+57 left 1 OK left 50/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/y = -72+57 right 1 OK right -15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/y = -15 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/y*y = -15y left 1 OK left 50 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50 = -15y right 1 OK right -15y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50 = -15y strategic 1 OK divide -15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:57:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/-15 = -15y/-15 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/-15 = y left 1 OK left 50/-15 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 50/-15 = y strategic 1 OK rf 50/-15 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 BUG 5 5
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 2 OK -5 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 BUG 10 10
Check the sign of your answer. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 2 OK -10 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 OK 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 08:58:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK -10/3 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 383 = 851+353/y strategic 1 OK subtract 851 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 383-851 = 851+353/y-851 right 1 OK right 353/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 383-851 = 353/y left 1 OK left -468 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468 = 353/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468y = 353/y*y left 1 BUG left -468 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468y = 353/y*y left 2 OK left -468y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468y = 353/y*y right 1 OK right 353 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468y = 353 strategic 1 OK divide -468 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:00:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -468y/-468 = 353/-468 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 353/-468 right 1 OK right 353/-468 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 353/-468 strategic 1 OK rf 353/-468 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:11.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 353/-468. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:13.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -468 into 353. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:16.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Type -353/468. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 2 OK -353/468 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y+403 = -544 strategic 1 OK subtract 403 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:01:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y+403-403 = -544-403 left 1 OK left -133/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y = -544-403 right 1 OK right -947 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y = -947 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y*y = -947y left 1 BUG left 133 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/y*y = -947y left 2 OK left -133 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133 = -947y right 1 OK right -947y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133 = -947y strategic 1 OK divide -947 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:02:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/-947 = -947y/-947 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:03:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/-947 = y left 1 OK left -133/-947 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:03:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -133/-947 = y strategic 1 OK rf -133/-947 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:03:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK .1404 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -367 = 705+(-248/y) strategic 1 OK subtract 705 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -367-705 = 705+(-248/y)-705 right 1 OK right -248/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -367-705 = -248/y left 1 OK left -1072 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072 = -248/y strategic 1 BUG divide 248 In this equation, y is multiplied by -248. Dividing by 248 leaves -y, so you still need to remove the negative sign. It is better to divide by -248, since that would leave y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072 = -248/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072y = -248/y*y left 1 OK left -1072y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:04:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072y = -248/y*y right 1 OK right -248 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072y = -248 strategic 1 OK divide -1072 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1072y/-1072 = -248/-1072 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -248/-1072 right 1 OK right -248/-1072 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -248/-1072 strategic 1 BUG rds y = -248/-1072 strategic Simplify the fraction -248/-1072. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -248/-1072 strategic 2 OK rf -248/-1072 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 ERROR 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 2 ERROR -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 3 ERROR 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 4 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:36.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -248 and denominator -1072? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:40.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE -8 will go into both -248 and -1072 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:05:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 5 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:04.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-248]/[-1072] is -8. This set of entry boxes represent the simplified form of [-248]/[-1072]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:06.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:09.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -248, by -8, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:12.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 5 HINT_LEVEL_CHANGE Type 31. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 OK 31 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:17.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-248]/[-1072] is -8. This set of entry boxes represent the simplified form of [-248]/[-1072]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:18.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 6 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:20.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 7 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -1072, by -8, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:21.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 8 HINT_LEVEL_CHANGE Type 134. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 2 OK 134 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:06:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 31/134 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 832 = 428+270/y strategic 1 OK subtract 428 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 832-428 = 428+270/y-428 right 1 OK right 270/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 832-428 = 270/y left 1 OK left 404 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404 = 270/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404y = 270/y*y left 1 BUG left 404 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404y = 270/y*y left 2 OK left 404y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404y = 270/y*y right 1 OK right 270 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404y = 270 strategic 1 OK divide 404 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 404y/404 = 270/404 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 270/404 right 1 OK right 270/404 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:07:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 270/404 strategic 1 OK rf 270/404 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 OK 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 ERROR 0704 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:21.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 INITIAL_HINT 0704 The common factor between the numerator and denominator of [270]/[404] is 2. This set of entry boxes represent the simplified form of [270]/[404]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:22.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:26.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 270, by 2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:30.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE Type 135. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 3 OK 135 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:37.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [270]/[404] is 2. This set of entry boxes represent the simplified form of [270]/[404]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:38.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:39.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 404, by 2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:39.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 6 HINT_LEVEL_CHANGE Type 202. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 2 OK 202 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:08:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 135/202 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:10:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -291 = 245+(-482/y) strategic 1 OK subtract 245 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:10:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -291-245 = 245+(-482/y)-245 right 1 OK right -482/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:10:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -291-245 = -482/y left 1 BUG left 46 46 is equal to 291 minus 245. You need to calculate -291 minus 245. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:10:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -291-245 = -482/y left 2 OK left -536 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:11:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -536 = -482/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -536y = -482/y*y left 1 OK left -536y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:11:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -536y = -482/y*y right 1 OK right -482 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -536y = -482 strategic 1 OK divide -536 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -536y/-536 = -482/-536 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -482/-536 right 1 ERROR right 899 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:40.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A y = -482/-536 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:44.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in -482/-536 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -482/-536 right 2 OK right -482/-536 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -482/-536 strategic 2 OK rf -482/-536 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:12:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 2 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:25.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-482]/[-536] is -2. This set of entry boxes represent the simplified form of [-482]/[-536]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:27.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -482, by -2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:37.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE Type 241. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 OK 241 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:42.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-482]/[-536] is -2. This set of entry boxes represent the simplified form of [-482]/[-536]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:44.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 5 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:45.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 6 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -536, by -2, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:46.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 7 HINT_LEVEL_CHANGE Type 268. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 2 OK 268 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:13:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK 241/268 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:14:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/y+759 = -4 strategic 1 OK subtract 759 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:14:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/y+759-759 = -4-759 left 1 OK left 126/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:15:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/y = -4-759 right 1 OK right -763 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:15:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/y = -763 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/y*y = -763y left 1 OK left 126 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126 = -763y right 1 OK right -763y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126 = -763y strategic 1 OK divide -763 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/-763 = -763y/-763 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:53.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A 126/-763 = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:16:56.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in 126/-763 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/-763 = y left 1 OK left 126/-763 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 126/-763 = y strategic 2 OK rf 126/-763 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 1 ERROR -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 2 ERROR 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 3 ERROR 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:18.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 4 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:21.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 126 and denominator -763? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:29.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE -7 will go into both 126 and -763 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2constant factors strategic 5 OK -7 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:41.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [126]/[-763] is -7. This set of entry boxes represent the simplified form of [126]/[-763]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:43.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:46.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 126, by -7, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:50.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 6 HINT_LEVEL_CHANGE Type -18. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-N-constant factors strategic 2 OK -18 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:56.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [126]/[-763] is -7. This set of entry boxes represent the simplified form of [126]/[-763]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:57.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 7 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:58.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -763, by -7, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:17:59.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 9 HINT_LEVEL_CHANGE Type 109. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:18:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row3-D-constant factors strategic 2 OK 109 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:18:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK -18/109 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:18:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 8y+3 = -2y+2 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:18:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 8y = -2y-1 strategic 1 ERROR subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:18:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 8y = -2y-1 strategic 2 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:19:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10y = -1 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:19:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+6y = 3y+(-3) strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:19:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 3y-10 strategic 1 ERROR add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:19:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 3y-10 strategic 2 ERROR add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = 3y-10 strategic 3 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3y = -10 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y+(-9) = -7y+5 strategic 1 OK add 9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = -7y+14 strategic 1 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 13y = 14 strategic 1 OK divide 13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1x+3 = 3+(-7x) strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -x = -7x strategic 1 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:20:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x = 0 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:21:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9+2x = 2x+0 strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:21:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x = 2x-9 strategic 1 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:21:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -9 strategic 1 BUG divide -9 You already solved the equation. 0 can never be equal to -9, so there is no solution to this equation. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:22:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+(-8) = 9x+4 strategic 1 OK add 8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:22:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+(-8)+8 = 9x+4+8 left 1 OK left 1x+-8+8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:23:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-8+8 = 9x+4+8 right 1 OK right 9x+4+8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:23:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-8+8 = 9x+4+8 strategic 1 OK unnec-elems 1x-8+8=9x+4+8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:23:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-8+8 = 9x+4+8 strategic 1 BUG subtract 9x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:23:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-8+8 = 9x+4+8 strategic 2 OK clt x-8+8 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR x=0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 INITIAL_HINT x=0 Above, you have [x]+[0]. Enter x as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 9x+4+8 strategic 1 OK clt 9x+4+8 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK 9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK +8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:24:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 OK 9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 OK 12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 9x+12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 9x+12 strategic 1 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x left 1 BUG left x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x left 2 ERROR left 9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x left 3 OK left x-9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x right 1 BUG right 9x+12 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x right 2 OK right 9x+12-9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x strategic 1 BUG divide 9x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-9x = 9x+12-9x strategic 2 OK clt x-9x condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 ERROR 9x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 7 INITIAL_HINT 9x In the group above, x and -9x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [x]+[-9x] are 1 and -9. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms x and -9x results in -8x HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 8 OK -8x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 9x+12-9x strategic 1 OK clt 9x+12-9x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:26:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 3 OK 9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK +12 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 OK -9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 3 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 4 ERROR xx condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 5 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 OK 12 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 9 OK 0+12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 0+12 strategic 1 OK unnec-elems -8x=0+12 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 12 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:27:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x/-8 = 12/-8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:28:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-8 right 1 ERROR right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-8 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 12/-8 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-8 right 2 OK right 12/-8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-8 strategic 2 OK rf 12/-8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 1 BUG 4 4
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 2 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-N-constant factors strategic 1 OK -3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-D-constant factors strategic 1 OK 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 10 OK -3/2 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:29:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -3/2 strategic 1 BUG rf x = -3/2 strategic You already solved the equation. x is -3/2. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:30:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = -3/2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:30:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y = 7y+(-4) strategic 1 OK subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4 = 7y+(-4)-4 left 1 OK left 4+4y-4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:31:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4 = 7y+(-4)-4 right 1 OK right 7y+-4-4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:31:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4 = 7y-4-4 strategic 1 OK subtract 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:31:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y left 1 ERROR left 8y-3y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:31:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y left 2 ERROR left 8y-4-7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y left 3 OK left 4+4y-4-7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y right 1 ERROR right 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y right 2 ERROR right y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y right 3 ERROR right 0 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y right 4 OK right 7y-4-4-7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y strategic 2 ERROR mt 4+4y-4-7y = 7y-4-4-7y strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+4y-4-7y = 7y-4-4-7y strategic 3 OK clt 4+4y-4-7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK +4y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:32:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG -7y -7y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG -7y -7y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 OK -7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 INITIAL_HINT In the group above, 4y and -7y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [+4y]+[-7y] are 4 and -7. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms 4y and -7y results in -3y HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK -3y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:39.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [4]+[-4]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Adding [4]+[-4] yields 0. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -3y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = 7y-4-4-7y strategic 1 OK clt 7y-4-4-7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 3 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 4 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 5 OK -7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 ERROR 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 ERROR 7y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 5 INITIAL_HINT 7y In the group above, 7y and -7y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE The coefficients in [7y]+[-7y] are 7 and -7. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Combining the like terms 7y and -7y results in 0 HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 6 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 ERROR 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 5 ERROR 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 6 INITIAL_HINT 0 Simplify the expression [-4]+[-4]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 8 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Adding [-4]+[-4] yields -8. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 7 OK -8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 0+-8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = 0-8 strategic 1 OK unnec-elems -3y=0-8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:34:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -8 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:35:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y/-3 = -8/-3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:35:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -8/-3 right 1 OK right -8/-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -8/-3 strategic 1 OK rf -8/-3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -8/-3 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -8/-3 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:19.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 11 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -8/-3 strategic 3 OK rf -8/-3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 8/3 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:31.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = 8/3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session0 2007-04-27 09:36:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 12 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:26:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-9x) = 7x+(-1) strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:26:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+(-9x)-3 = 7x+(-1)-3 left 1 OK left -9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x+(-1)-3 right 1 BUG right 7x+-1 You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x+(-1)-3 right 2 OK right 7x+-1-3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-1-3 strategic 1 BUG subtract 1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-1-3 strategic 2 OK clt 7x-1-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK 7x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:27:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 7x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR 7x=-4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 7x+-4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-4 strategic 1 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-4 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:19.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 7x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 7x-4 strategic 3 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = 7x-4-7x left 1 OK left -9x-7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = 7x-4-7x right 1 BUG right 4 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:29:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = 7x-4-7x right 2 OK right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = -4 strategic 1 OK clt -9x-7x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 ERROR -9x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = -4 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = -4 strategic 3 OK clt -9x-7x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK -9x-7x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = -4 strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:30:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-7x = -4 strategic 5 OK clt -9x-7x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 OK -16x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x = -4 strategic 1 BUG divide -4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x = -4 strategic 2 OK divide -16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16x/-16 = -4/-16 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/-16 right 1 BUG right 4 You need to calculate -4 divided by -16, not -16 divided by -4. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/-16 right 2 BUG right -4 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/-16 right 3 OK right -4/-16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:31:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/-16 strategic 1 OK rf -4/-16 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 1 BUG 4 4
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 2 OK -4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-N-constant factors strategic 1 BUG -1 -1
Check the sign of your answer. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-N-constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-D-constant factors strategic 1 OK 4 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 OK 1/4 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-8) = -5+2y strategic 1 OK add 8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y+(-8)+8 = -5+2y+8 left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -5+2y+8 right 1 BUG right -5+2y You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -5+2y+8 right 2 OK right -5+2y+8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -5+2y+8 strategic 1 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = -5+2y+8 strategic 2 OK clt -5+2y+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK +2y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -5 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:33:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 2y+3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 2y+3 strategic 1 ERROR subtract 3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 2y+3 strategic 2 ERROR add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:37.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y = 2y+3 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 2y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 2y+3 strategic 4 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:34:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-2y = 2y+3-2y left 1 BUG left 3y You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-2y = 2y+3-2y left 2 OK left 3y-2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-2y = 2y+3-2y right 1 OK right 2y+3-2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y-2y = 2y+3-2y strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-2y = 2y+3-2y strategic 2 OK clt 3y-2y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 1y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 2y+3-2y strategic 1 OK clt 2y+3-2y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK -2y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:35:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 ERROR 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 0+3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 0+3 strategic 1 OK unnec-elems y=0+3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+9 = 1+7y strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y+9-9 = 1+7y-9 left 1 OK left 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:36:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 1+7y-9 right 1 BUG right 1+7y You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:37:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 1+7y-9 right 2 OK right 1+7y-9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:37:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7y = 1+7y-9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:37:59.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 1+7y-9 strategic 2 OK clt 1+7y-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK +7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR 8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 1-9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 7y+1-9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y+1-9 strategic 1 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y+1-9 strategic 2 OK clt 7y+1-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:38:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 ERROR 7 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 ERROR 8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 OK 1-9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR 7y+8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 7y+1-9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y+1-9 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:37.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y+1-9 strategic 4 OK clt 7y+1-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK +1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 5 INITIAL_HINT In the group above, you have [7y]. Type [7y] here. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:39:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 6 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 5 INITIAL_HINT Simplify the expression [+1]+[-9]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Adding [+1]+[-9] yields -8. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 6 OK -8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 7y+-8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y-8 strategic 1 ERROR subtract 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y-8 strategic 2 ERROR add 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y-8 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:52.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:40:56.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Subtract 7y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = 7y-8 strategic 4 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y-7y = 7y-8-7y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y-7y = 7y-8-7y left 2 BUG left 7y You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y-7y = 7y-8-7y left 3 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 7y-8-7y right 1 OK right 7y-8-7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0 = 7y-8-7y strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 7y-8-7y strategic 2 OK clt 7y-8-7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK 7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK -7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 7 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 7 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:41:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 OK -8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:42:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -8 strategic 1 BUG divide -8 You already solved the equation. 0 can never be equal to -8, so there is no solution to this equation. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:42:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+9x = 6+8x strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:42:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+9x-9 = 6+8x-9 left 1 OK left 9x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:42:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 6+8x-9 right 1 BUG right 6+8x You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:42:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 6+8x-9 right 2 OK right 6+8x-9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:37.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 9x = 6+8x-9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:38.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 6+8x-9 strategic 2 OK clt 6+8x-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK +8x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 8x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:43:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK -3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 8x+-3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 8x-3 strategic 1 OK subtract 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x-8x = 8x-3-8x left 1 OK left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 8x-3-8x right 1 BUG right 3 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 8x-3-8x right 2 OK right -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:44:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+1 = 9y+(-3) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:45:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+1-1 = 9y+(-3)-1 left 1 OK left -9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:45:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y = 9y+(-3)-1 right 1 OK right 9y+-3-1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:45:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y = 9y-3-1 strategic 1 OK subtract 9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y left 1 BUG left 0 0 is equal to -9y plus 9y. You need to calculate -9y minus 9y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y left 2 ERROR left y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y left 3 BUG left -9y You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y left 4 BUG left 0 0 is equal to -9y plus 9y. You need to calculate -9y minus 9y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y left 5 OK left -9y-9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y right 1 ERROR right 3-1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y right 2 OK right 9y-3-1-9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y strategic 1 OK clt -9y-9y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:46:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -9y-9y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = 9y-3-1-9y strategic 2 OK clt 9y-3-1-9y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK 9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 BUG  9y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 OK -9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR -2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 ERROR 2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 INITIAL_HINT 2 Simplify the expression [-3]+[-1]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Adding [-3]+[-1] yields -4. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 OK -4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK -4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:52.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = -4 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:54.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:47:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = -4 strategic 2 OK clt -9y-9y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 ERROR 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 7 OK -9y-9y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9y = -4 strategic 3 OK clt -9y-9y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 8 ERROR 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:38.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 9 INITIAL_HINT 0 In the group above, -9y and -9y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE The coefficients in [-9y]+[-9y] are -9 and -9. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Combining the like terms -9y and -9y results in -18y HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 10 OK -18y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -18y = -4 strategic 1 OK divide -18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:48:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -18y/-18 = -4/-18 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:49:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -4/-18 right 1 OK right .22 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-8y) = -1+(-9y) strategic 1 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-8y)+3 = -1+(-9y)+3 left 1 OK left -8y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -1+(-9y)+3 right 1 OK right -1+-9y+3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -1-9y+3 strategic 1 OK clt -1-9y+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG  9y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK -9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -1 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR -4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:50:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 ERROR -2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 ERROR 4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 4 INITIAL_HINT 4 Simplify the expression [-1]+[+3]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Adding [-1]+[+3] yields 2. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 5 OK 2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -9y+2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -9y+2 strategic 1 OK subtract -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-(-9y) = -9y+2-(-9y) left 1 OK left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9y+2-(-9y) right 1 OK right -9y+2--9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9y+2+9y strategic 1 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -9y+2+9y strategic 2 OK clt -9y+2+9y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:51:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK -9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +9y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 6 OK 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+2 = 5+(-3y) strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:52:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+2-2 = 5+(-3y)-2 left 1 OK left -10y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 5+(-3y)-2 right 1 OK right 5+-3y-2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 5-3y-2 strategic 1 OK clt 5-3y-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG  3y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK -3y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 5 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -3y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -3y+3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:53:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -3y+3 strategic 1 OK subtract -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y-(-3y) = -3y+3-(-3y) left 1 OK left -7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = -3y+3-(-3y) right 1 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 3 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y/-7 = 3/-7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 3/-7 right 1 BUG right .4285 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:54:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 3/-7 right 2 OK right -.4285 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:55:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -2.9x+9 = -7.52+3.68x strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:55:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -2.9x = -16.52+3.68x strategic 1 OK subtract 3.68x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:55:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.58x = -16.52 strategic 1 ERROR clt -6.58x = -16.52 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.58x = -16.52 strategic 2 ERROR clt -6.58x = -16.52 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:12.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 -6.58x = -16.52 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:22.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 null strategic 1 HINT_LEVEL_CHANGE -6.58x is -6.58 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:27.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -6.58. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.58x = -16.52 strategic 4 OK divide -6.58 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:56:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.91+1.45x = 4.52+(-0.26x) strategic 1 OK subtract -8.91 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:57:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 1 ERROR subtract 0.26x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:57:41.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:57:43.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -0.26x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:57:47.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract -0.26x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:57:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 3 ERROR subtract -0.26 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 4 ERROR clt 1.45x = 13.43-0.26x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:34.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:36.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move -0.26x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:39.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Subtract -0.26x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 6 ERROR subtract -0.26 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:50.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 7 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:51.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE Move -0.26x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:58:55.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 6 HINT_LEVEL_CHANGE Subtract -0.26x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:59:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.45x = 13.43-0.26x strategic 8 OK subtract -0.26x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:59:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.71x = 13.43 strategic 1 OK divide 1.71 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:59:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.32y+6.68 = 6.77y+(-5.73) strategic 1 OK subtract 6.68 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:59:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.32y = 6.77y-12.41 strategic 1 OK subtract 6.77y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 08:59:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.45y = -12.41 strategic 1 OK divide -0.45 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:00:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.34y+3.79 = -8.53+(-3.14y) strategic 1 OK add 8.53 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.34y+12.32 = -3.14y strategic 1 ERROR subtract 3.14y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:00:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.34y+12.32 = -3.14y strategic 2 OK add 3.14y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.48y+12.32 = 0 strategic 1 ERROR clt 6.48y+12.32 = 0 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 6.48y+12.32 = 0 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:16.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE 12.32 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 12.32 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:20.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE You can subtract 12.32 from both sides of the equation to eliminate the constant value of 12.32 (12.32 - 12.32 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.48y+12.32 = 0 strategic 3 OK subtract 12.32 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:01:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.48y = -12.32 strategic 1 OK divide 6.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:02:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.87+(-6.72x) = 8.7+(-4.59x) strategic 1 BUG subtract 3.87 Since -3.87 is negative, you should add to remove it from the both side. Erase your last step and add 3.87 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:02:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.87+(-6.72x) = 8.7+(-4.59x) strategic 2 OK add 3.87 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:02:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.72x = 12.57-4.59x strategic 1 ERROR subtract 4.59x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:02:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.72x = 12.57-4.59x strategic 2 OK add 4.59x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.13x = 12.57 strategic 1 OK divide -2.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.32+(-6.59y) = -6.07y+4.63 strategic 1 OK add 8.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.59y = -6.07y+12.95 strategic 1 ERROR subtract 6.07y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.59y = -6.07y+12.95 strategic 2 OK add 6.07y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.52y = 12.95 strategic 1 OK divide -0.52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:03:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.32+(-4.33x) = 9.97+(-8.36x) strategic 1 OK subtract 7.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:04:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.33x = 2.65-8.36x strategic 1 ERROR subtract 8.36x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:04:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.33x = 2.65-8.36x strategic 2 OK add 8.36x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:04:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.03x = 2.65 strategic 1 OK divide 4.03 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:04:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.44+(-0.79y) = -8.6+(-3.98y) strategic 1 OK add 4.44 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:05:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.79y = -4.16-3.98y strategic 1 OK add 3.98y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:05:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.19y = -4.16 strategic 1 OK divide 3.19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:05:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.56y+(-2.49) = 8.31+(-9.61y) strategic 1 OK add 2.49 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:05:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.56y = 10.8-9.61y strategic 1 OK add 9.61y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:05:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.05y = 10.8 strategic 1 OK divide 7.05 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:06:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.85+1.51x = -3.51+(-4.14x) strategic 1 OK subtract 3.85 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:06:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.51x = -7.36-4.14x strategic 1 OK add 4.14x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:06:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.65x = -7.36 strategic 1 OK divide 5.65 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.93+(-2.63y) = -4.98y+0.46 strategic 1 OK add 4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.93+(-2.63y)+4.93 = -4.98y+0.46+4.93 left 1 BUG left -4.93+-2.63y You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.93+(-2.63y)+4.93 = -4.98y+0.46+4.93 left 2 OK left -4.93+-2.63y+4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.93-2.63y+4.93 = -4.98y+0.46+4.93 right 1 OK right -4.98y+0.46+4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.93-2.63y+4.93 = -4.98y+0.46+4.93 strategic 1 OK clt -4.93-2.63y+4.93 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 BUG  2.63y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:07:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 2 OK -2.63y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 OK -2.63y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -2.63y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.63y = -4.98y+0.46+4.93 strategic 1 OK clt -4.98y+0.46+4.93 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 3 OK -4.98y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 OK +0.46 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 2 OK +4.93 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK -4.98y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:08:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 OK 5.39 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:09:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK -4.98y+5.39 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:09:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.63y = -4.98y+5.39 strategic 1 OK add 4.98y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:09:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.63y+4.98y = -4.98y+5.39+4.98y left 1 OK left 2.35y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:09:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.35y = -4.98y+5.39+4.98y right 1 OK right 5.39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:10:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.35y = 5.39 strategic 1 OK divide 2.35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:10:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.35y/2.35 = 5.39/2.35 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:10:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 5.39/2.35 right 1 OK right 2.29 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:10:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y+(-5.37) = -0.47y+7.22 strategic 1 OK add 5.37 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:10:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y+(-5.37)+5.37 = -0.47y+7.22+5.37 left 1 OK left 9.23y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 right 1 ERROR right 0.47y+7.22+5.37 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 right 2 BUG right -0.47y+7.22 You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 right 3 ERROR right -047y+7.22+5.37 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:32.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:34.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -0.47y+7.22+5.37 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 right 4 OK right -0.47y+7.22+5.37 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:11:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y = -0.47y+7.22+5.37 strategic 2 OK add 0.47y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:12:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.23y+0.47y = -0.47y+7.22+5.37+0.47y left 1 OK left 9.7y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:12:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.7y = -0.47y+7.22+5.37+0.47y right 1 OK right 7.22+5.37 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:12:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.7y = 7.22+5.37 strategic 1 OK clt 7.22+5.37 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:12:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 12.59 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:12:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.7y = 12.59 strategic 1 OK divide 9.7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:13:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.7y/9.7 = 12.59/9.7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:13:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 12.59/9.7 right 1 OK right 1.297 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:13:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.34+(-1.18x) = 5.89x+2.06 strategic 1 OK add 1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:13:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.34+(-1.18x)+1.34 = 5.89x+2.06+1.34 left 1 OK left -1.18x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:13:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.18x = 5.89x+2.06+1.34 right 1 OK right 5.89x+2.06+1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:14:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.18x = 5.89x+2.06+1.34 strategic 1 OK subtract 5.89x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:14:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.18x-5.89x = 5.89x+2.06+1.34-5.89x left 1 OK left -7.07x condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:14:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.07x = 5.89x+2.06+1.34-5.89x right 1 OK right 2.06+1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:14:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.07x = 2.06+1.34 strategic 1 OK clt 2.06+1.34 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:15:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 3.4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:15:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.07x = 3.4 strategic 1 OK divide -7.07 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:15:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.07x/-7.07 = 3.4/-7.07 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:15:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 3.4/-7.07 right 1 OK right -.4809 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:16:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y+3.51 = 0.75y+(-8.46) strategic 1 OK subtract 3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y+3.51-3.51 = 0.75y+(-8.46)-3.51 left 1 OK left -8.36y+3.51-3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y+3.51-3.51 = 0.75y+(-8.46)-3.51 right 1 ERROR right 0.75y+-3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y+3.51-3.51 = 0.75y+(-8.46)-3.51 right 2 OK right 0.75y+-8.46-3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y+3.51-3.51 = 0.75y-8.46-3.51 strategic 1 OK clt -8.36y+3.51-3.51 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK -8.36y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK +3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 ERROR +8.36y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK -8.36y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -8.36y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y = 0.75y-8.46-3.51 strategic 1 OK clt 0.75y-8.46-3.51 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 2 OK 0.75y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 OK -8.46 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:17:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 2 OK -3.51 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:18:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 3 OK 0.75y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:18:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 OK -11.97 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:18:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 0.75y+-11.97 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:18:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y = 0.75y-11.97 strategic 1 OK subtract 0.75y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = 0.75y-11.97-0.75y left 1 ERROR left -9.11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:30.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = 0.75y-11.97-0.75y strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:32.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -8.36y-0.75y on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = 0.75y-11.97-0.75y left 2 OK left -8.36y-0.75y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = 0.75y-11.97-0.75y right 1 BUG right 11.97 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:19:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = 0.75y-11.97-0.75y right 2 OK right -11.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -8.36y-0.75y = -11.97 strategic 1 OK clt -8.36y-0.75y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 ERROR -9.11 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:38.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 INITIAL_HINT -9.11 In the group above, -8.36y and -0.75y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:40.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [-8.36y]+[-0.75y] are -8.36 and -0.75. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:43.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms -8.36y and -0.75y results in -9.11y HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 5 OK -9.11y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:20:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.11y = -11.97 strategic 1 OK divide -9.11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:21:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.11y/-9.11 = -11.97/-9.11 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:21:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -11.97/-9.11 right 1 OK right 1.31 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:22:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.34+(-9.57y) = -0.02y+(-7.98) strategic 1 ERROR add 9.57 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:22:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.34+(-9.57y) = -0.02y+(-7.98) strategic 2 OK add 1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:22:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.34+(-9.57y)+1.34 = -0.02y+(-7.98)+1.34 left 1 OK left -9.57y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:23:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.57y = -0.02y+(-7.98)+1.34 right 1 OK right -0.02y+-7.98+1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:23:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.57y = -0.02y-7.98+1.34 strategic 1 OK add 0.02y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:23:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.57y+0.02y = -0.02y-7.98+1.34+0.02y left 1 ERROR left -9.55 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:23:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.57y+0.02y = -0.02y-7.98+1.34+0.02y left 2 OK left -9.55y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:24:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y right 1 ERROR right 9.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:24:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y right 2 ERROR right 7.98+1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:25:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y right 3 ERROR right -0.02y*7.98+1.34+0 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:25:21.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:25:24.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -0.02y-7.98+1.34+0.02y on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y right 4 OK right -0.02y-7.98+1.34+0.02y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -0.02y-7.98+1.34+0.02y strategic 2 OK clt -0.02y-7.98+1.34+0.02y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK -0.02y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -7.98 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +1.34 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 1 OK +0.02y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:26:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -6.64 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -6.64 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y = -6.64 strategic 1 OK divide -9.55 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.55y/-9.55 = -6.64/-9.55 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -6.64/-9.55 right 1 ERROR right .6925 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:47.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 y = -6.64/-9.55 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:27:51.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Type in -6.64/-9.55 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:28:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -6.64/-9.55 right 2 OK right -6.64/-9.55 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:28:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -6.64/-9.55 strategic 2 OK rf -6.64/-9.55 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK .695 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.32+0.04y = 0.15y+(-5.31) strategic 1 OK subtract 3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:29:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.32+0.04y-3.32 = 0.15y+(-5.31)-3.32 left 1 OK left 3.32+0.04y-3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:29:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.32+0.04y-3.32 = 0.15y+(-5.31)-3.32 right 1 ERROR right 0 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:29:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.32+0.04y-3.32 = 0.15y+(-5.31)-3.32 right 2 OK right 0.15y+-5.31-3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.32+0.04y-3.32 = 0.15y-5.31-3.32 strategic 1 OK clt 3.32+0.04y-3.32 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK +0.04y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK 3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 OK 0.04y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 0.04y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.04y = 0.15y-5.31-3.32 strategic 1 OK clt 0.15y-5.31-3.32 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 2 OK 0.15y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 OK -5.31 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 2 OK -3.32 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:30:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK 0.15y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 ERROR 1.99 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 3 ERROR -1.99 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 4 ERROR 1.99 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:36.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 5 INITIAL_HINT 1.99 Simplify the expression [-5.31]+[-3.32]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:39.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:42.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Adding [-5.31]+[-3.32] yields -8.63. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 6 OK -8.63 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:31:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 0.15y+-8.63 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:32:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.04y = 0.15y-8.63 strategic 1 ERROR add 0.15y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.04y = 0.15y-8.63 strategic 2 OK subtract 0.15y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.04y-0.15y = 0.15y-8.63-0.15y left 1 ERROR left -0.11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.04y-0.15y = 0.15y-8.63-0.15y left 2 OK left -0.11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.11y = 0.15y-8.63-0.15y right 1 BUG right 8.63 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.11y = 0.15y-8.63-0.15y right 2 OK right -8.63 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.11y = -8.63 strategic 1 OK divide -0.11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.11y/-0.11 = -8.63/-0.11 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:34:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -8.63/-0.11 right 1 OK right 78.45 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:34:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y+1.23 = 6.91y+(-1.2) strategic 1 OK subtract 1.23 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:34:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y+1.23-1.23 = 6.91y+(-1.2)-1.23 left 1 OK left 4.76y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:34:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y = 6.91y+(-1.2)-1.23 right 1 OK right 6.91y+-1.2-1.23 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y = 6.91y-1.2-1.23 strategic 1 OK clt 6.91y-1.2-1.23 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK 6.91y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -1.2 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -1.23 condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 OK 6.91y condition 2 cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -2.43 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:35:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 6.91y+-2.43 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y = 6.91y-2.43 strategic 1 OK subtract 6.91y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y-6.91y = 6.91y-2.43-6.91y left 1 ERROR left -2.15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.76y-6.91y = 6.91y-2.43-6.91y left 2 OK left -2.15y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.15y = 6.91y-2.43-6.91y right 1 OK right -2.43 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.15y = -2.43 strategic 1 OK divide -2.15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:36:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.15y/-2.15 = -2.43/-2.15 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I HsN9sHn session1 2007-05-04 09:37:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -2.43/-2.15 right 1 OK right 1.13 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I J20m0Gt session0 2007-04-16 13:26:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:26:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:27:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:27:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91 = -2+(-24y) strategic 1 BUG add -2 To remove -2 from the right side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:27:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91 = -2+(-24y) strategic 2 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:27:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 93 = -24y strategic 1 OK divide -24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:28:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91 = -2+(-24y) strategic 3 OK answer-check -31/8 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:28:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -10.86 = 3.43+(-5.41y) strategic 1 BUG subtract -3.43 To remove 3.43 from the right side, you can subtract a positive from it. Erase your last step and subtract 3.43 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:28:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -10.86 = 3.43+(-5.41y) strategic 2 OK subtract 3.43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:29:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -14.29 = -5.41y strategic 1 OK divide -5.41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:29:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -10.86 = 3.43+(-5.41y) strategic 3 OK answer-check 2.6414 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:29:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x+3177 = 5303 strategic 1 OK subtract 3177 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:29:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x = 2126 strategic 1 OK divide -7098 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:29:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x+3177 = 5303 strategic 2 ERROR answer-check 1063/3549 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:30:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x+3177 = 5303 strategic 3 ERROR add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:30:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x+3177 = 5303 strategic 4 OK subtract 3177 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:30:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x = 2126 strategic 2 OK divide -7098 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:31:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -7098x+3177 = 5303 strategic 5 OK answer-check -1063/3549 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:31:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 13.72y+(-6.27) = -1.87 strategic 1 OK subtract -6.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:31:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 13.72y = 4.4 strategic 1 OK divide 13.72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:31:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 13.72y+(-6.27) = -1.87 strategic 2 OK answer-check 0.3207 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:31:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 18.22+(-59.74x) = 87.68 strategic 1 OK subtract 18.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -59.74x = 69.46 strategic 1 OK divide -59.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 18.22+(-59.74x) = 87.68 strategic 2 OK answer-check -1.1627 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -70 = 99x+85 strategic 1 OK subtract 85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -155 = 99x strategic 1 OK divide 99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -70 = 99x+85 strategic 2 OK answer-check -155/99 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:32:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9 = 30y+(-56) strategic 1 OK subtract -56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:33:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9-(-56) = 30y+(-56)-(-56) left 1 OK left -46 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y+(-56)-(-56) right 1 OK right 30y+(-56)-(-56) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y-56+56 strategic 1 OK clt 30y-56+56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y1R1 strategic 1 OK 30y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant terms1R1 strategic 1 OK -56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant terms2R1 strategic 1 OK +56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 yR2 strategic 1 OK 30y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 1 OK 30y+0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:34:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 2 OK 30y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:35:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 3 OK 30y+0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:35:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 4 ERROR 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:35:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 5 OK 30y+0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:35:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 6 ERROR 0 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:35:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 7 OK 30y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:36:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 FinalAnswer strategic 8 ERROR y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:36:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y-56+56 strategic 2 OK clt 30y-56+56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:36:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y strategic 1 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:36:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46/30 = 30y/30 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:37:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46/30 = y left 1 OK left -1.5333 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:37:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9 = 30y+(-56) strategic 2 ERROR answer-check -1.5333 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:37:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y-56+56 strategic 3 OK clt 30y-56+56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:37:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46 = 30y strategic 2 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:37:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -46/30 = 30y/30 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:38:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9 = 30y+(-56) strategic 3 OK add 56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:38:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9+56 = 30y+(-56)+56 left 1 OK left 47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:39:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47 = 30y+(-56)+56 right 1 OK right 30y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:39:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47 = 30y strategic 1 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session0 2007-04-16 13:39:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = 30y/30 right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:52:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = 4 left 1 OK left 1.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47 = 30y strategic 1 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = 30y/30 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:52:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = y left 1 OK left 1.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:52:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9 = 30y+(-56) strategic 1 ERROR answer-check 1.5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47 = 30y strategic 2 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = 30y/30 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = y left 2 OK left 1.56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47 = 30y strategic 3 OK divide 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = 30y/30 right 3 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 47/30 = y left 3 OK left 1.5666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -9 = 30y+(-56) strategic 2 OK answer-check 1.5667 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 1 ERROR clt -14.44 = -3.74x+(-11.62) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:54:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 2 ERROR distribute -14.44 = -3.74x+(-11.62) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:55:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 3 OK rds -14.44 = -3.74x+(-11.62) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 4 ERROR mt -14.44 = -3.74x+(-11.62) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:55:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 5 ERROR clt -14.44 = -3.74x+(-11.62) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 6 OK subtract -11.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:56:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44-(-11.62) = -3.74x+(-11.62)-(-11.62) left 1 OK left -2.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:57:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.82 = -3.74x+(-11.62)-(-11.62) right 1 OK right -3.74x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:57:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.82 = -3.74x strategic 1 OK divide -3.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:57:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.82/-3.74 = -3.74x/-3.74 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:57:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -2.82/-3.74 = x left 1 OK left 0.7540 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:57:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -14.44 = -3.74x+(-11.62) strategic 7 OK answer-check 0.7540 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:58:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x+9 = 2.5 strategic 1 OK subtract 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:58:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x+9-9 = 2.5-9 right 1 OK right -6.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:58:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x+9-9 = -6.5 left 1 OK left -11.53x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x = -6.5 strategic 1 OK divide -11.53 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x/-11.53 = -6.5/-11.53 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:59:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = -6.5/-11.53 right 1 OK right 0.5637 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:59:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -11.53x+9 = 2.5 strategic 2 OK answer-check 0.5637 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 12:59:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230 = -1799y+(-5468) strategic 1 OK subtract -5468 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:00:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230-(-5468) = -1799y+(-5468)-(-5468) right 1 OK right -1799y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:00:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230-(-5468) = -1799y left 1 OK left 10698 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:00:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 10698 = -1799y strategic 1 OK divide -1799 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:00:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 10698/-1799 = -1799y/-1799 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 10698/-1799 = y left 1 OK left -5.9466 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230 = -1799y+(-5468) strategic 2 ERROR answer-check -5.9466 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:02:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230 = -1799y+(-5468) strategic 3 OK subtract -5468 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230-(-5468) = -1799y+(-5468)-(-5468) right 2 OK right -1799y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:02:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230-(-5468) = -1799y left 2 OK left 238 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:02:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 238 = -1799y strategic 1 OK divide -1799 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:03:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 238/-1799 = -1799y/-1799 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:03:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 238/-1799 = y left 1 OK left -0.1322 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:03:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5230 = -1799y+(-5468) strategic 4 OK answer-check -0.1323 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:03:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x+(-3.14) = -65.56 strategic 1 OK subtract -3.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:03:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x+(-3.14)-(-3.14) = -65.56-(-3.14) left 1 OK left -13.65x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:04:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x = -65.56-(-3.14) right 1 OK right -62.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:04:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x = -62.42 strategic 1 OK divide -13.65 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:04:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x/-13.65 = -62.42/-13.65 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:05:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = -62.42/-13.65 right 1 OK right 4.5729 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:05:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -13.65x+(-3.14) = -65.56 strategic 2 OK answer-check 4.5729 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:05:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y+13 = 41 strategic 1 OK subtract 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:05:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y+13-13 = 41-13 left 1 OK left -76y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:06:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y = 41-13 right 1 OK right 28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:06:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y = 28 strategic 1 OK divide -76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:06:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y/-76 = 28/-76 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 28/-76 right 1 OK right -0.3684 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:06:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -76y+13 = 41 strategic 2 OK answer-check -0.3684 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:07:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -30 = -57/x+(-9) strategic 1 OK add 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:07:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -21 = -57/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:07:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -21x = -57 strategic 1 OK divide -21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:08:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -30 = -57/x+(-9) strategic 2 OK answer-check 19/7 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:08:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -36 = 663+810/x strategic 1 ERROR subtract 37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -36 = 663+810/x strategic 2 OK subtract 663 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:09:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -699 = 810/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:09:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -699x = 810 strategic 1 OK divide -699 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:09:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -36 = 663+810/x strategic 3 OK answer-check -270/233 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:10:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 95+68/y = -90 strategic 1 OK subtract 95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:10:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 68/y = -185 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:10:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 68 = -185y strategic 1 OK divide -185 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:10:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 95+68/y = -90 strategic 2 OK answer-check -68/185 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:11:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20/x+(-49) = 3 strategic 1 BUG subtract 49 Since -49 is negative, you should add to remove it from the left side. Erase your last step and add 49 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:11:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20/x-98 = -46 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:12:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20/x+(-49) = 3 strategic 2 OK subtract -49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:12:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20/x = 52 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:12:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20 = 52x strategic 1 OK divide 52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:12:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 20/x+(-49) = 3 strategic 3 OK answer-check 5/13 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:13:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53) = 68 strategic 1 OK subtract -53 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:13:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53)-(-53) = 68-(-53) left 1 OK left -39/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:13:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x = 68-(-53) right 1 OK right 121 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:13:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x = 121 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x = 121 strategic 2 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:14:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x*x = 121x right 1 OK right 121x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x*x = 121x left 1 OK left -39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39 = 121x strategic 1 BUG divide -39 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/-39 = 121x/-39 left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53) = 68 strategic 2 OK subtract -53 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53)-(-53) = 68-(-53) right 1 OK right 121 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:15:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53)-(-53) = 121 left 1 OK left -39/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:16:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x = 121 strategic 3 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:16:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x*x = 121x right 2 OK right 121x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:16:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x*x = 121x left 2 OK left -39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:19:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39 = 121x strategic 2 OK divide 121 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:19:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/121 = 121x/121 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:19:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/121 = x left 1 OK left -0.3223 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:20:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -39/x+(-53) = 68 strategic 3 OK answer-check -0.3223 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:20:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y+(-562) = -108 strategic 1 OK subtract -562 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:20:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y+(-562)-(-562) = -108-(-562) left 1 OK left -396/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:20:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y = -108-(-562) right 1 OK right 454 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y = 454 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y*y = 454y left 1 OK left -396 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396 = 454y right 1 OK right 454y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396 = 454y strategic 1 OK divide 454 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/454 = 454y/454 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/454 = y left 1 OK left -0.8722 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:21:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -396/y+(-562) = -108 strategic 2 OK answer-check -0.8722 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:22:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 1 OK subtract 327 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:22:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y)-327 = -131-327 left 1 OK left -495 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:22:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 2 OK subtract 327 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:22:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y)-327 = -131-327 left 2 OK left -495/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/y = -131-327 right 1 OK right -485 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/y = -485 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/y*y = -485y left 1 OK left -495 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495 = -485y right 1 OK right -485y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495 = -485y strategic 1 OK divide -485 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/-485 = -485y/-485 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/-485 = y left 1 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:23:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 3 ERROR answer-check 0 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:24:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 4 ERROR answer-check 1 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:24:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 5 OK subtract 327 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:24:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y)-327 = -131-327 right 1 OK right -458 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:24:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y)-327 = -458 left 1 OK left -495/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/y = -458 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/y*y = -458y left 1 OK left -495 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495 = -458y right 1 OK right -458y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495 = -458y strategic 1 OK divide -458 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/-458 = -458y/-458 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:25:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -495/-458 = y left 1 OK left 1.0807 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:26:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 327+(-495/y) = -131 strategic 6 OK answer-check 1.0808 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:26:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x+865 = -966 strategic 1 OK subtract 865 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:26:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x+865-865 = -966-865 left 1 OK left -406/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x = -966-865 right 1 OK right -1831 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x = -1831 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x*x = -1831x left 1 OK left -406 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406 = -1831x right 1 OK right -1831x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406 = -1831x strategic 1 OK divide -1831 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:27:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/-1831 = -1831x/-1831 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/-1831 = x left 1 OK left 0.2217 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -406/x+865 = -966 strategic 2 OK answer-check 0.2217 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x+9 = -42 strategic 1 OK subtract 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x+9-9 = -42-9 left 1 OK left 21/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x = -42-9 right 1 OK right -51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x = -51 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x*x = -51x right 1 OK right -51x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:28:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x*x = -51x left 1 OK left 21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:29:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21 = -51x strategic 1 OK divide -51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:29:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/-51 = -51x/-51 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/-51 = x left 1 OK left -0.4117 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:29:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 21/x+9 = -42 strategic 2 OK answer-check -0.4118 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:30:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+4 = -9y+2 strategic 1 OK subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:30:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y = -9y-2 strategic 1 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+4 = -9y+2 strategic 2 BUG add 4 Since 4 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:30:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+8 = -9y+6 strategic 1 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:31:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 y+8 = 6 strategic 1 ERROR clt y+8 = 6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:31:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+4 = -9y+2 strategic 3 OK subtract 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y = -9y-2 strategic 2 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:32:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 y = -2 strategic 1 BUG divide 1 You already solved the equation. y is -2. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:32:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -8y+4 = -9y+2 strategic 4 OK answer-check -2 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:33:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+2x = -6+(-9x) strategic 1 BUG add 9 Since 9 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 9 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:34:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 18+2x = 3-9x strategic 1 OK subtract -9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:34:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 18+11x = 3 strategic 1 ERROR clt 18+11x = 3 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:34:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 18+11x = 3 strategic 2 ERROR divide 29x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:35:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+2x = -6+(-9x) strategic 2 OK rds 9+2x = -6+(-9x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:36:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+2x = -6-9x strategic 1 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:36:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 15+2x = -9x strategic 1 OK subtract 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:36:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 15 = -11x strategic 1 OK divide -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9+2x = -6+(-9x) strategic 3 OK answer-check -15/11 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:37:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 1 ERROR rds -2+5y = 3y+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:37:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 2 OK subtract -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:37:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 3y+8 strategic 1 ERROR add 35x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session1 2007-04-23 13:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 3y+8 strategic 2 ERROR add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:18:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 1 OK subtract -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:18:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 3y+8 strategic 1 ERROR add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:18:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y = 6y+8 strategic 1 ERROR clt 8y = 6y+8 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:18:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y = 6y+8 strategic 2 ERROR clt 8y = 6y+8 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:18:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y = 6y+8 strategic 3 ERROR clt 8y = 6y+8 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:19:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 3y+8 strategic 2 ERROR clt 5y = 3y+8 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 2 ERROR clt -2+5y = 3y+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:19:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 3 ERROR distribute -2+5y = 3y+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:19:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 4 ERROR rds -2+5y = 3y+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:19:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 5 ERROR rf -2+5y = 3y+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:20:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 6 OK subtract -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:20:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 3y+8 strategic 3 ERROR add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:20:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y = 6y+8 strategic 4 ERROR subtract 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session2 2007-04-25 13:21:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y-8 = 6y strategic 1 ERROR clt 8y-8 = 6y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8y = 6y+8 strategic 1 ERROR add 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 14y = 12y+8 strategic 1 ERROR clt 14y = 12y+8 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 14y = 12y+8 strategic 2 OK subtract 12y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2y = 8 strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:54:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2+5y = 3y+6 strategic 1 OK answer-check 4 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-4x = 7x-2 strategic 1 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:55:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 1 BUG add 2 Since 2 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:55:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 2 BUG add 2 Since 2 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:55:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4-11x = 0 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 2 ERROR clt 1+(-4x) = 7x+(-3) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:56:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 3 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:57:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-4x = 7x-2 strategic 2 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:57:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 3 BUG add 2 Since 2 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:57:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 4 ERROR clt 2-11x = -2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:58:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 4 ERROR add -4x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-8x = 3x-3 strategic 1 OK subtract 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:58:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-11x = -3 strategic 1 ERROR clt 1-11x = -3 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:59:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-11x = -3 strategic 2 BUG add 1 Since 1 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 5 ERROR rds 2-11x = -2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:59:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 6 ERROR distribute 2-11x = -2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 12:59:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2-11x = -2 strategic 7 ERROR divide 11x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:01:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 5 OK rds 1+(-4x) = 7x+(-3) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-4x = 7x-3 strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 6 OK rds 1+(-4x) = 7x+(-3) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:01:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-4x = 7x-3 strategic 2 ERROR clt 1-4x = 7x-3 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:02:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-4x = 7x-3 strategic 3 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-4x = 7x-3 strategic 4 ERROR add 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:02:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-4x = 7x-3 strategic 5 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:02:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-11x = -3 strategic 3 BUG add 1 Since 1 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:03:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-11x = -3 strategic 4 ERROR subtract 11x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:10:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1-11x = -3 strategic 5 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:10:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -11x = -4 strategic 1 OK divide -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:10:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+(-4x) = 7x+(-3) strategic 7 OK answer-check 4/11 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:11:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y+(-7) strategic 1 OK rds 5+7y = -7y+(-7) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:11:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y-7 strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:11:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y-7 strategic 2 OK add 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:11:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y+7y = -7y-7+7y right 1 OK right -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:12:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y+7y = -7 left 1 OK left 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:13:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7 strategic 1 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:13:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y/14 = -7/14 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:13:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -7/14 right 1 OK right 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:13:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7 strategic 2 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y/14 = -7/14 left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:14:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -7/14 right 2 OK right -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:14:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y+(-7) strategic 2 ERROR answer-check -1/2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:14:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7 strategic 3 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:14:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y/14 = -7/14 left 3 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:15:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y-7 strategic 3 ERROR clt 5+7y = -7y-7 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:15:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y-7 strategic 4 OK add 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:15:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y+7y = -7y-7+7y right 2 OK right -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:15:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y+7y = -7 left 2 OK left 14y+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y+5 = -7 strategic 1 OK subtract 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y+5-5 = -7-5 left 1 OK left 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7-5 right 1 OK right -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y+5 = -7 strategic 2 OK subtract 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y+5-5 = -7-5 left 2 OK left 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -7-5 right 2 OK right -12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y = -12 strategic 1 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:16:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 14y/14 = -12/14 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:17:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -12/14 right 1 OK right -0.8752 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5+7y = -7y+(-7) strategic 3 OK answer-check -0.8571 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:18:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9 = -6x+6 strategic 1 ERROR rds 1x+9 = -6x+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:18:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9 = -6x+6 strategic 2 ERROR rds 1x+9 = -6x+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:18:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9 = -6x+6 strategic 3 ERROR clt 1x+9 = -6x+6 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:18:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9 = -6x+6 strategic 4 OK subtract 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:18:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9-9 = -6x+6-9 left 1 OK left 1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I J20m0Gt session3 2007-04-27 13:20:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+9 = -6x+6 strategic 5 BUG add -6x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I JJGL4Ig session30 2007-04-20 13:27:21.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 55 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:27:29.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:27:38.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:27:59.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:28:16.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 8.16 = 1.9+2.62x strategic 1 OK subtract 1.9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:28:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 6.26 = 2.62x strategic 1 OK divide 2.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:28:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43 87 = -92+57x strategic 1 OK add 92 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:28:36.0 CYCLE CYCLE ES_05 ES_05-1 EG43 179 = 57x strategic 1 OK divide 57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:28:53.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 4548+(-6850y) = -1219 strategic 1 OK subtract 4548 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:05.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -6850y = -5767 strategic 1 OK divide -6850 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x+10.11 = -13.41 strategic 1 OK subtract 10.11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:29.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x+10.11-10.11 = -13.41-10.11 left 1 ERROR left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x+10.11-10.11 = -13.41-10.11 left 2 OK left 11.7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x = -13.41-10.11 right 1 OK right -23.52 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x = -23.52 strategic 1 OK divide 11.7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:29:59.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 11.7x/11.7 = -23.52/11.7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42A x = -23.52/11.7 right 1 ERROR right -201 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42A x = -23.52/11.7 right 2 OK right -2.010 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43 52+(-46x) = 92 strategic 1 OK subtract 52 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:36.0 CYCLE CYCLE ES_05 ES_05-2 EG43 52+(-46x)-52 = 92-52 left 1 OK left -46x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:45.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -46x = 92-52 right 1 OK right 40 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -46x = 40 strategic 1 OK divide -46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:30:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -46x/-46 = 40/-46 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:31:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = 40/-46 right 1 OK right -0.8695 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:31:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7263 = 2402y+(-7205) strategic 1 ERROR subtract 2402 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:31:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7263 = 2402y+(-7205) strategic 2 OK add 7205 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:31:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7263+7205 = 2402y+(-7205)+7205 left 1 OK left -58 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -58 = 2402y+(-7205)+7205 right 1 OK right 2402y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -58 = 2402y strategic 1 OK divide 2402 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -58/2402 = 2402y/2402 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:21.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -58/2402 = y left 1 OK left -0.02414 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.87y+4.71 = 4.85 strategic 1 OK subtract 4.71 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:42.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.87y+4.71-4.71 = 4.85-4.71 left 1 OK left -7.87y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:32:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.87y = 4.85-4.71 right 1 OK right .14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.87y = 0.14 strategic 1 OK divide -7.87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.87y/-7.87 = 0.14/-7.87 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42C y = 0.14/-7.87 right 1 OK right -0.017789 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:39.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40/y+58 = 91 strategic 1 OK subtract 58 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40/y = 33 strategic 1 BUG multiply -40 To remove -40/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -40/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:33:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40/y = 33 strategic 2 ERROR multiply 40 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:34:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40/y = 33 strategic 3 ERROR multiply 40 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:35:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40/y = 33 strategic 4 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:35:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -40 = 33y strategic 1 OK divide 33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:35:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 992 = -819+(-753/x) strategic 1 OK add 819 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:35:37.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1811 = -753/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:35:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 1811x = -753 strategic 1 OK divide 1811 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:00.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 1 BUG subtract 415 Since -415 is negative, you should add to remove it from the right side. Erase your last step and add 415 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 2 BUG subtract 415 Since -415 is negative, you should add to remove it from the right side. Erase your last step and add 415 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 3 BUG add -415 To remove -415 from the right side, you can add a positive to it. Erase your last step and add 415 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 4 BUG subtract 415 Since -415 is negative, you should add to remove it from the right side. Erase your last step and add 415 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:46.0 HINT HINT ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 5 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:36:57.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y+(-415) strategic 6 OK rds -55 = 175/y+(-415) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -55 = 175/y-415 strategic 1 OK add 415 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 360 = 175/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 360y = 175 strategic 1 OK divide 360 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -74+83/x = 53 strategic 1 ERROR rds -74+83/x = 53 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:35.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -74+83/x = 53 strategic 2 OK add 74 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59 83/x = 127 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 83 = 127x strategic 1 OK divide 127 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:37:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x+(-69) = 41 strategic 1 OK rds 8/x+(-69) = 41 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x-69 = 41 strategic 1 OK add 69 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x-69+69 = 41+69 left 1 OK left 8/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x = 41+69 right 1 OK right 110 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x = 110 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/x*x = 110x left 1 OK left 8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8 = 110x right 1 OK right 110x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8 = 110x strategic 1 OK divide 110 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/110 = 110x/110 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 8/110 = x left 1 OK left 0.07272 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:38:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x+(-991) = 259 strategic 1 OK rds 193/x+(-991) = 259 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x-991 = 259 strategic 1 OK add 991 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x-991+991 = 259+991 left 1 OK left 193/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x = 259+991 right 1 OK right 1250 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x = 1250 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/x*x = 1250x left 1 OK left 193 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193 = 1250x right 1 OK right 1250x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193 = 1250x strategic 1 OK divide 1250 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/1250 = 1250x/1250 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:39:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 193/1250 = x left 1 OK left 0.1544 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -38 = -97/y+(-54) strategic 1 OK rds -38 = -97/y+(-54) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -38 = -97/y-54 strategic 1 OK add 54 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -38+54 = -97/y-54+54 right 1 OK right -97/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -38+54 = -97/y left 1 OK left 16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 16 = -97/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 16y = -97/y*y left 1 OK left 16y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 16y = -97/y*y right 1 OK right -97 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 16y = -97 strategic 1 OK divide 16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:40:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59 16y/16 = -97/16 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:41:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = -97/16 right 1 OK right -6.0625 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:41:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y+(-8) = -4+(-1y) strategic 1 OK rds -1y+(-8) = -4+(-1y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:41:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 1 BUG multiply -1y Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:41:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 2 BUG multiply -1 To remove the coefficient of -1y, you need to divide. Erase your last step and then divide both sides by -1. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:42:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 3 BUG divide -1y Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:42:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 4 BUG divide -1 To remove the coefficient of -1y, you need to divide by -1 or multiply by -1/1. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:42:43.0 HINT HINT ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 5 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:42:45.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-8 = -4-1y strategic 6 OK mt -1y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-8 = -4-1y strategic 1 OK mt 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:30.0 HINT HINT ES_05 ES_05-5 EG60 -y-8 = -4-y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:36.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:40.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:43:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-8 = -4-y strategic 2 OK add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:44:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1y+3 = -1+7y strategic 1 OK mt 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:44:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y+3 = -1+7y strategic 1 ERROR add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:44:40.0 HINT HINT ES_05 ES_05-5 EG60 y+3 = -1+7y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:44:44.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:44:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y+3 = -1+7y strategic 3 ERROR add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:02.0 HINT HINT ES_05 ES_05-5 EG60 y+3 = -1+7y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:03.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:06.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 7y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y+3 = -1+7y strategic 5 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y+3 = -1 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y = -4 strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:45:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6+8x = 5x+5 strategic 1 OK subtract 5 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -11+8x = 5x strategic 1 OK subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -11 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y+(-1) = 7y+(-8) strategic 1 OK rds -10y+(-1) = 7y+(-8) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y-1 = 7y-8 strategic 1 OK add 8 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y+7 = 7y strategic 1 OK add 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:46:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7 = 17y strategic 1 OK divide 17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:47:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3+8x = -10+(-3x) strategic 1 OK rds -3+8x = -10+(-3x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:47:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3+8x = -10-3x strategic 1 OK add 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:47:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7+8x = -3x strategic 1 OK subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:47:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7 = -11x strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:47:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+(-10y) = 6+7y strategic 1 OK rds 3+(-10y) = 6+7y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3-10y = 6+7y strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3-10y = 6+7y strategic 2 OK subtract 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3-10y-3 = 6+7y-3 left 1 OK left -10y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 6+7y-3 right 1 OK right 3+7y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 3+7y strategic 1 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-7y = 3+7y-7y left 1 OK left -17y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:48:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -17y = 3+7y-7y right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -17y = 3 strategic 1 OK divide -17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -17y/-17 = 3/-17 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 3/-17 right 1 OK right -0.1764 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:29.0 HINT HINT ES_05 ES_05-6 EG60 y = -0.17647059 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:31.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:49:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+(-5x) = -1+(-9x) strategic 1 OK rds 0+(-5x) = -1+(-9x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:50:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-5x = -1-9x strategic 1 OK add 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:50:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0-5x+1 = -1-9x+1 left 1 OK left 1-5x condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:50:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x = -1-9x+1 right 1 BUG right 9x You forgot the negative sign. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x = -1-9x+1 right 2 OK right -9x condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x = -9x strategic 1 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1-5x+5x = -9x+5x left 1 OK left 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -9x+5x right 1 OK right -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -4x strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-4 = -4x/-4 left 1 OK left -1/4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:51:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1/4 = -4x/-4 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+5x = -7x+2 strategic 1 OK subtract 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+5x-2 = -7x+2-2 left 1 OK left -5+5x condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+5x = -7x+2-2 right 1 OK right -7x condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+5x = -7x strategic 1 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+5x-5x = -7x-5x left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -7x-5x right 1 OK right -12x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -12x strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:52:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5/-12 = -12x/-12 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:53:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5/-12 = x left 1 BUG left 2.4 You need to calculate -5 divided by -12, not -12 divided by -5. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:53:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5/-12 = x left 2 OK left 0.4166 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:53:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5+6.13y = 4.9y+(-1.61) strategic 1 OK rds -5+6.13y = 4.9y+(-1.61) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:54:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5+6.13y = 4.9y-1.61 strategic 1 OK add 1.61 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:54:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.39+6.13y = 4.9y strategic 1 ERROR subtract 6.13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:54:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.39+6.13y = 4.9y strategic 2 OK subtract 6.13y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.39 = -1.23y strategic 1 OK divide -1.23 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.98+(-4.24x) = 3.98+(-8.56x) strategic 1 OK rds -9.98+(-4.24x) = 3.98+(-8.56x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.98-4.24x = 3.98-8.56x strategic 1 OK subtract 3.98 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -13.96-4.24x = -8.56x strategic 1 OK add 4.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -13.96 = -4.32x strategic 1 OK divide -4.32 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6x+(-5.39) = -3.62x+8.78 strategic 1 OK rds 6x+(-5.39) = -3.62x+8.78 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:55:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6x-5.39 = -3.62x+8.78 strategic 1 OK subtract 8.78 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:56:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6x-14.17 = -3.62x strategic 1 OK subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:56:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -14.17 = -9.62x strategic 1 OK divide -9.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:56:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.7y+8.46 = -6.45y+(-1.05) strategic 1 OK rds -9.7y+8.46 = -6.45y+(-1.05) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.7y+8.46 = -6.45y-1.05 strategic 1 OK add 1.05 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.7y+9.51 = -6.45y strategic 1 OK add 9.7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.51 = 3.25y strategic 1 OK divide 3.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.56+(-3.48y) = -1.46y+5.06 strategic 1 OK rds 7.56+(-3.48y) = -1.46y+5.06 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.56-3.48y = -1.46y+5.06 strategic 1 OK subtract 5.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:57:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.56-3.48y-5.06 = -1.46y+5.06-5.06 right 1 OK right -1.46y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.56-3.48y-5.06 = -1.46y left 1 OK left 2.5-3.48y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5-3.48y = -1.46y strategic 1 OK add 3.48y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5-3.48y+3.48y = -1.46y+3.48y left 1 OK left 2.5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5 = -1.46y+3.48y right 1 OK right 2.02y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5 = 2.02y strategic 1 OK divide 2.02 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:58:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5/2.02 = 2.02y/2.02 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:59:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.5/2.02 = y left 1 OK left 1.238 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:59:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.11y+1.35 = -5.63+7.63y strategic 1 OK add 5.63 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:59:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.11y+1.35+5.63 = -5.63+7.63y+5.63 right 1 OK right 7.63y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 13:59:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.11y+1.35+5.63 = 7.63y left 1 OK left -3.11y+6.98 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.11y+6.98 = 7.63y strategic 1 OK add 3.11y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.11y+6.98+3.11y = 7.63y+3.11y left 1 OK left 6.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.98 = 7.63y+3.11y right 1 ERROR right 10.74 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.98 = 7.63y+3.11y right 2 OK right 10.74y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.98 = 10.74y strategic 1 OK divide 10.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.98/10.74 = 10.74y/10.74 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:00:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.98/10.74 = y left 1 OK left 0.6499 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:01:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y+(-8.05) = -4.26+(-1.87y) strategic 1 OK rds -5.54y+(-8.05) = -4.26+(-1.87y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:01:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y-8.05 = -4.26-1.87y strategic 1 OK add 4.26 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:01:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y-8.05+4.26 = -4.26-1.87y+4.26 right 1 OK right -1.87y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:01:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y-8.05+4.26 = -1.87y left 1 OK left -5.54y-3.79 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:02:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y-3.79 = -1.87y strategic 1 OK add 5.54y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:02:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.54y-3.79+5.54y = -1.87y+5.54y left 1 OK left -3.79 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:02:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.79 = -1.87y+5.54y right 1 OK right 3.67y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:02:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.79 = 3.67y strategic 1 OK divide 3.67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:02:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.79/3.67 = 3.67y/3.67 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:03:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.79/3.67 = y left 1 OK left -1.03269 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:03:18.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -6750.13+91.47y = 7160.95+(-356.92y) strategic 1 OK rds -6750.13+91.47y = 7160.95+(-356.92y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:03:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -6750.13+91.47y = 7160.95-356.92y strategic 1 OK subtract 7160.95 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:03:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -13911.08+91.47y = -356.92y strategic 1 ERROR subtract 91.47 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:04:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -13911.08+91.47y = -356.92y strategic 2 OK subtract 91.47y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:04:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -13911.08 = -448.39y strategic 1 OK divide -448.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:04:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62 31+43.88y = 72.31y+73.13 strategic 1 OK subtract 73.13 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:04:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.13+43.88y = 72.31y strategic 1 OK subtract 43.88y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:05:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.13 = 28.43y strategic 1 OK divide 28.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:05:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -9807.78+(-610.5x) = 7878.25+15.1x strategic 1 OK rds -9807.78+(-610.5x) = 7878.25+15.1x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:05:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -9807.78-610.5x = 7878.25+15.1x strategic 1 OK subtract 7878.25 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:06:10.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -17686.03-610.5x = 15.1x strategic 1 OK add 610.5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:06:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -17686.03 = 625.6x strategic 1 OK divide 625.6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:06:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -56.93+(-33.6y) = -9.86y+(-2.52) strategic 1 OK rds -56.93+(-33.6y) = -9.86y+(-2.52) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:06:41.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -56.93-33.6y = -9.86y-2.52 strategic 1 OK add 2.52 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:07:33.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -54.41-33.6y = -9.86y strategic 1 OK add 33.6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:07:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -54.41 = 23.74y strategic 1 OK divide 23.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:07:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6715.78+803.44y = -7270.89+(-731.27y) strategic 1 OK rds -6715.78+803.44y = -7270.89+(-731.27y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:08:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6715.78+803.44y = -7270.89-731.27y strategic 1 OK add 7270.89 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:08:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6715.78+803.44y+7270.89 = -7270.89-731.27y+7270.89 right 1 BUG right -731.27 You forgot the y. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:08:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6715.78+803.44y+7270.89 = -7270.89-731.27y+7270.89 right 2 OK right -731.27y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:09:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -6715.78+803.44y+7270.89 = -731.27y left 1 OK left 555.11+803.44y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:09:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11+803.44y = -731.27y strategic 1 OK subtract 803.44y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:09:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11+803.44y-803.44y = -731.27y-803.44y left 1 OK left 555.11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:09:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11 = -731.27y-803.44y right 1 OK right -1534.71y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:10:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11 = -1534.71y strategic 1 BUG divide 1534.71 In this equation, y is multiplied by -1534.71. Dividing by 1534.71 leaves -y, so you still need to remove the negative sign. It is better to divide by -1534.71, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:10:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11 = -1534.71y strategic 2 OK divide -1534.71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:10:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11/-1534.71 = -1534.71y/-1534.71 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:10:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 555.11/-1534.71 = y left 1 OK left -0.3617 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:11:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+75.16 = 85.44x+3.02 strategic 1 OK subtract 3.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:11:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+75.16-3.02 = 85.44x+3.02-3.02 right 1 OK right 85.44x condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:11:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+75.16-3.02 = 85.44x left 1 OK left 21.7x+72.14 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:12:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+72.14 = 85.44x strategic 1 ERROR subtract 21.7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:12:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+72.14 = 85.44x strategic 2 OK subtract 21.7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:12:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.7x+72.14-21.7x = 85.44x-21.7x left 1 OK left 72.14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:13:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.14 = 85.44x-21.7x right 1 OK right 63.74x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:13:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.14 = 63.74x strategic 1 OK divide 63.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:13:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.14/63.74 = 63.74x/63.74 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:13:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.14/63.74 = x left 1 OK left 1.1317 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:13:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 77.55+(-53.36y) = -35+(-48.78y) strategic 1 OK rds 77.55+(-53.36y) = -35+(-48.78y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:14:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 77.55-53.36y = -35-48.78y strategic 1 OK add 35 condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:14:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 77.55-53.36y+35 = -35-48.78y+35 right 1 OK right -48.78y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:14:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 77.55-53.36y+35 = -48.78y left 1 OK left 112.55-53.36y condition 1 cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:14:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55-53.36y = -48.78y strategic 1 OK add 53.36y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:14:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55-53.36y+53.36y = -48.78y+53.36y left 1 OK left 112.55 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:15:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55 = -48.78y+53.36y right 1 OK right 4.58y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:15:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55 = 4.58y strategic 1 OK divide 4.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:15:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55/4.58 = 4.58y/4.58 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I JJGL4Ig session30 2007-04-20 14:15:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 112.55/4.58 = y left 1 OK left 24.574 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I M6dNcwg session0 2007-04-17 12:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:00:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A 5.32 = -13.91y+6.17 strategic 1 BUG subtract -6.17 To remove 6.17 from the right side, you can subtract a positive from it. Erase your last step and subtract 6.17 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:01:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A 5.32 = -13.91y+6.17 strategic 2 OK subtract 6.17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:01:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -0.85 = -13.91y strategic 1 OK divide -13.91 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:01:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 7469+(-7272y) = -6237 strategic 1 BUG subtract -7469 To remove 7469 from the left side, you can subtract a positive from it. Erase your last step and subtract 7469 from both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:01:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 7469+(-7272y) = -6237 strategic 2 OK subtract 7469 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:02:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -7272y = -13706 strategic 1 BUG divide -13706 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:02:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -7272y = -13706 strategic 2 OK divide -7272 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:02:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -10.26x+(-10.81) = -7.46 strategic 1 ERROR subtract -5.15 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:02:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -10.26x+(-10.81) = -7.46 strategic 2 OK subtract -10.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:02:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -10.26x = 3.35 strategic 1 OK divide -10.26 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:03:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 13 = -74+(-30x) strategic 1 OK add 74 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:03:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 87 = -30x strategic 1 OK divide -30 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:03:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -61.58 = 30.78+21.54y strategic 1 OK subtract 30.78 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:03:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -92.36 = 21.54y strategic 1 OK divide 21.54 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:04:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 0.82 = -13.07+(-14.64y) strategic 1 OK subtract -13.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:05:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 0.82 = -13.07+(-14.64y) strategic 2 ERROR add 1307 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:05:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 0.82 = -13.07+(-14.64y) strategic 3 OK add 13.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:05:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 0.82+13.07 = -13.07+(-14.64y)+13.07 left 1 ERROR left 15.53 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:07:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 0.82+13.07 = -13.07+(-14.64y)+13.07 left 2 OK left 13.89 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:07:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.89 = -13.07+(-14.64y)+13.07 right 1 OK right -14.64y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.89 = -14.64y strategic 1 OK divide -14.64 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:07:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -14.64y/-14.64 = 13.89/-14.64 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:07:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = 13.89/-14.64 right 1 OK right -0.9487 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 88 = 25x+30 strategic 1 OK subtract 30 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 88-30 = 25x+30-30 left 1 OK left 58 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 58 = 25x+30-30 right 1 OK right 25x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 58 = 25x strategic 1 OK divide 25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 25x/25 = 58/25 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:08:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 x = 58/25 right 1 OK right 2.32 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:09:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2538y+(-8983) = 2104 strategic 1 OK add 8983 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:09:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2538y+(-8983)+8983 = 2104+8983 left 1 OK left -2538y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:09:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2538y = 2104+8983 right 1 OK right 11087 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:09:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2538y = 11087 strategic 1 OK divide -2538 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:09:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2538y/-2538 = 11087/-2538 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:10:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = 11087/-2538 right 1 OK right -4.3684 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:10:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 96.63 = -11.6x+56.99 strategic 1 OK subtract 56.99 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:10:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 96.63-56.99 = -11.6x+56.99-56.99 right 1 OK right -11.6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:11:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 96.63-56.99 = -11.6x left 1 OK left 39.64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:11:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 39.64 = -11.6x strategic 1 OK divide -11.6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:11:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -11.6x/-11.6 = 39.64/-11.6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:11:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = 39.64/-11.6 right 1 OK right -3.4172 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:12:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 27 = 8/y+22 strategic 1 OK subtract 22 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:12:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 5 = 8/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:12:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 5y = 8 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:12:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -679/x+535 = -160 strategic 1 BUG subtract -160 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:13:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -679/x+535 = -160 strategic 2 OK subtract 535 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:13:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -679/x = -695 strategic 1 ERROR multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:13:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -679/x = -695 strategic 2 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:13:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -679 = -695x strategic 1 OK divide -695 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:14:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -14/y+(-36) = -73 strategic 1 OK subtract -36 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:14:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -14/y = -37 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:14:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -14 = -37y strategic 1 OK divide -37 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:15:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-621/x) = 106 strategic 1 ERROR add -621 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:15:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-621/x) = 106 strategic 2 ERROR add 621 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:15:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -342+(-621/x) = 106 strategic 3 OK subtract -342 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -621/x = 448 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:15:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -621 = 448x strategic 1 OK divide 448 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:16:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 374+541/y = -180 strategic 1 OK subtract 374 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:16:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 541/y = -554 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:16:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 541 = -554y strategic 1 OK divide -554 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:16:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59 = 34+61/y strategic 1 BUG subtract 59 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:17:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59 = 34+61/y strategic 2 OK subtract 34 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:17:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 59-34 = 34+61/y-34 left 1 OK left 25 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:17:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25 = 34+61/y-34 right 1 OK right 61/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:17:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25 = 61/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25y = 61/y*y left 1 OK left 25y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25y = 61/y*y right 1 OK right 61 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25y = 61 strategic 1 OK divide 25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 25y/25 = 61/25 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = 61/25 right 1 OK right 2.44 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 480 = -878/y+(-470) strategic 1 OK subtract -470 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:18:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 480-(-470) = -878/y+(-470)-(-470) right 1 OK right -878/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 480-(-470) = -878/y left 1 OK left 950 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950 = -878/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950y = -878/y*y left 1 OK left 950y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950y = -878/y*y right 1 BUG right 878 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950y = -878/y*y right 2 OK right -878 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950y = -878 strategic 1 OK divide 950 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:19:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 950y/950 = -878/950 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -878/950 right 1 OK right -0.9242 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 88 = 84/x+(-60) strategic 1 OK subtract -60 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 88-(-60) = 84/x+(-60)-(-60) left 1 OK left 148 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148 = 84/x+(-60)-(-60) right 1 OK right 84/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148 = 84/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148x = 84/x*x left 1 OK left 148x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148x = 84/x*x right 1 OK right 84 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148x = 84 strategic 1 OK divide 148 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:20:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 148x/148 = 84/148 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:21:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = 84/148 right 1 OK right 0.5676 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:21:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y+1 = -7+2y strategic 1 OK subtract 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:21:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = -8+2y strategic 1 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:21:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = -8+2y strategic 2 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:22:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = -8+2y strategic 3 ERROR subtract -4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:22:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = -8+2y strategic 4 ERROR subtract -8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:23:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4y = -8+2y strategic 5 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:23:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -6y = -8 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:23:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9x+1 = -1x+1 strategic 1 OK subtract 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:23:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9x = -x strategic 1 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:23:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 8x strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:24:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x+(-1) = 5+2x strategic 1 OK subtract -1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:24:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x = 6+2x strategic 1 OK subtract -2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:24:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 6+4x strategic 1 ERROR subtract 4x condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:24:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 6+4x strategic 2 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:25:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6 = 4x strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:25:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7y+10 = 5+(-8y) strategic 1 OK subtract 10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:25:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7y = -5-8y strategic 1 ERROR add 5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:25:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7y = -5-8y strategic 2 OK add 7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:26:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14y = -5-y strategic 1 ERROR multiply y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:26:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14y = -5-y strategic 2 OK add y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:26:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 15y = -5 strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+(-7y) = -9y+10 strategic 1 ERROR subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+(-7y) = -9y+10 strategic 2 OK subtract -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1 = -2y+10 strategic 1 OK subtract -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+2y = 10 strategic 1 BUG subtract 10 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1+2y = 10 strategic 2 OK subtract -1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2y = 11 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3+5y = 8y+(-2) strategic 1 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:28:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3 = 3y-2 strategic 1 ERROR add 3y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:28:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3 = 3y-2 strategic 2 ERROR add 3y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:28:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3 = 3y-2 strategic 3 ERROR subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:28:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3 = 3y-2 strategic 4 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:29:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1 = 3y strategic 1 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1 = 3y strategic 2 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4) = 7+(-7x) strategic 1 OK subtract -4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:29:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4)-(-4) = 7+(-7x)-(-4) left 1 OK left 2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:30:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 1 ERROR right -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:30:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 2 ERROR right -3+7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:30:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 3 ERROR right 7+-3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:30:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 4 ERROR right 7-3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:31:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 5 BUG right -3+7x -3+7x is equal to -7+7x minus -4. You need to calculate 7+[-7x] minus -4. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 6 ERROR right -11x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:33:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4) = 7+(-7x) strategic 2 OK subtract -4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:33:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4) = 7+(-7x) strategic 3 ERROR subtract -7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:34:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4) = 7+(-7x) strategic 4 OK subtract -4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4)-(-4) = 7+(-7x)-(-4) left 2 OK left 2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:34:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7+(-7x)-(-4) right 7 ERROR right -7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:35:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-4) = 7+(-7x) strategic 5 OK rds 2x+(-4) = 7+(-7x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:35:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4 = 7-7x strategic 1 ERROR add 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4 = 7-7x strategic 2 ERROR add 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x-4 = 7-7x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:19.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 7x to both sides. HINT 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4 = 7-7x strategic 4 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4+7x = 7-7x+7x left 1 ERROR left 2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:36:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4+7x = 7-7x+7x left 2 ERROR left 2x+7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:37:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4 = 7-7x strategic 5 OK add 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-4+4 = 7-7x+4 left 1 OK left 2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 7-7x+4 right 1 OK right 11-7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 11-7x strategic 1 ERROR subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 11-7x strategic 2 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+7x = 11-7x+7x left 1 OK left 9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 11-7x+7x right 1 OK right 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x = 11 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9x/9 = 11/9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:39:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/9 right 1 OK right 1.2222 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:39:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-7y) = 7y+8 strategic 1 ERROR subtract -7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-7y) = 7y+8 strategic 2 ERROR subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:40:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-7y) = 7y+8 strategic 3 OK subtract -8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:41:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-7y)-(-8) = 7y+8-(-8) left 1 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:42:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) right 1 ERROR right 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:42:30.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:42:31.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 7y+8-(-8) on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:42:37.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -8 on the right side HINT 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:42:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) right 2 ERROR right -8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:45:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) right 3 ERROR right 16y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:45:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) right 4 ERROR right 7y+16y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:45:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+8-(-8) right 5 OK right 7y+16 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:45:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 7y+16 strategic 1 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:45:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y-7y = 7y+16-7y left 1 BUG left 14y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:46:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y-7y = 7y+16-7y left 2 OK left -14y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:46:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y = 7y+16-7y right 1 OK right 16 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:46:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y = 16 strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:46:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y/-14 = 16/-14 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session0 2007-04-17 12:46:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 16/-14 right 1 OK right -1.1428 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:00:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y = -10y+5 strategic 1 ERROR subtract 53 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:00:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y = -10y+5 strategic 2 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:00:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y+5-5 left 1 ERROR left 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:00:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y+5-5 left 2 ERROR left 5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:00:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y+5-5 right 1 OK right -10y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:01:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y left 1 ERROR left 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:01:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y left 2 ERROR left 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:02:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y left 3 ERROR left -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:02:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3+3y-5 = -10y left 4 OK left -2+3y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+3y = -10y strategic 1 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+3y-3y = -10y-3y left 1 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = -10y-3y right 1 BUG right 13y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = -10y-3y right 2 OK right -13y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = -13y strategic 1 OK divide -13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:03:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -13y/-13 = -2/-13 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:04:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -2/-13 right 1 ERROR right 0.7690 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:04:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -2/-13 right 2 ERROR right 0.0769 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:05:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -2/-13 right 3 OK right 2/13 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:05:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+(-10) = 2+10x strategic 1 OK rds 1x+(-10) = 2+10x strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:05:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-10 = 2+10x strategic 1 BUG subtract 10 Since -10 is negative, you should add to remove it from the both side. Erase your last step and add 10 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:05:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-10 = 2+10x strategic 2 OK subtract -10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:05:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-10-(-10) = 2+10x-(-10) left 1 OK left 1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:06:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 1 ERROR right 12x+-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:06:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:06:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 2+10x-(-10) on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:07:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 2 ERROR right 22+-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:07:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 3 ERROR right 22x+-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 4 ERROR right 22x-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:08:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 5 ERROR right 8+10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:08:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 6 BUG right -8+10x -8+10x is equal to 2+10x plus -10. You need to calculate 2+10x minus -10. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:08:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 7 ERROR right 12+2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:08:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x-(-10) right 8 OK right 12+10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:08:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 12+10x strategic 1 OK unnec-elems 1x=12+10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-10 = 2+10x strategic 3 OK add 10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x-10+10 = 2+10x+10 left 1 OK left 1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 2+10x+10 right 1 OK right 12+10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x = 12+10x strategic 2 OK unnec-elems 1x=12+10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 1 ERROR subtract 0 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 2 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 3 OK subtract 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-10x = 12+10x-10x left 1 BUG left x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:09:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-10x = 12+10x-10x left 2 ERROR left 10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:10:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-10x = 12+10x-10x left 3 BUG left x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:10:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 4 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:10:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-x = 12+10x-x left 1 BUG left x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:10:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-x = 12+10x-x left 2 ERROR left -x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:10:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-x = 12+10x-x left 3 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:11:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 12+10x-x right 1 OK right 12+9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:11:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 12+9x strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:11:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 12+9x strategic 2 OK subtract 12 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:11:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 left 1 BUG left 12 12 is equal to 0 plus 12. You need to calculate 0 minus 12. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:11:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 left 2 BUG left 12 12 is equal to 0 plus 12. You need to calculate 0 minus 12. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 0-12 on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 left 3 OK left 0-12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 right 1 ERROR right 12+3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0-12 = 12+9x-12 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:12:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 12+9x-12 on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:13:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 5 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12+10x strategic 6 OK subtract 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-10x = 12+10x-10x left 4 OK left -9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 12+10x-10x right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = 12 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x/-9 = 12/-9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:14:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-9 right 1 OK right -1.333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:15:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1+(-4y) strategic 1 OK rds -10y+4 = 1+(-4y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:15:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1-4y strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:15:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1-4y strategic 2 BUG add 4 Since 4 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4 from both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:15:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1-4y strategic 3 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:15:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4-4 = 1-4y-4 left 1 OK left -10y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:16:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 right 1 ERROR right 1+0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:16:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:16:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 1-4y-4 on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:17:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 right 2 BUG right 1-4y You haven't performed any operations. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:18:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1+(-4y) strategic 2 OK rds -10y+4 = 1+(-4y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:18:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4 = 1-4y strategic 4 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:18:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4-4 = 1-4y-4 left 2 OK left -10y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:18:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 right 3 ERROR right 1y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:19:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 strategic 2 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:19:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 1-4y-4 on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:19:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 right 4 ERROR right 1-0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:19:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = 1-4y-4 right 5 OK right -4y-3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -4y-3 strategic 1 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+4y = -4y-3+4y left 1 OK left -6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -4y-3+4y right 1 BUG right 3 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -4y-3+4y right 2 OK right -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:20:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y/-6 = -3/-6 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -3/-6 right 1 OK right 3/6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 3/6 strategic 1 OK rf 3/6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 1 ERROR 6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row2constant factors strategic 2 OK 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-N-constant factors strategic 1 ERROR 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-N-constant factors strategic 2 OK 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 row3-D-constant factors strategic 1 OK 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:21:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 1/2 condition 2 simplify-fractions-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:22:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+(-6) = -2y+(-1) strategic 1 OK rds -9y+(-6) = -2y+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:22:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-6 = -2y-1 strategic 1 OK add 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:23:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-6+1 = -2y-1+1 left 1 ERROR left -14y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-6+1 = -2y-1+1 left 2 OK left -9y-5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y-1+1 right 1 OK right -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y strategic 1 ERROR add -2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y strategic 2 ERROR add 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y strategic 3 ERROR add 5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:24:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y strategic 4 ERROR add 9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5 = -2y strategic 5 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5+9y = -2y+9y left 1 BUG left 5 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-5+9y = -2y+9y left 2 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -2y+9y right 1 OK right 7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 7y strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y/7 = -5/7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:25:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5/7 right 1 OK right -0.7142 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:26:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+2x = 7+10x strategic 1 OK subtract 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:26:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+2x-10x = 7+10x-10x right 1 OK right 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+2x-10x = 7 left 1 ERROR left -6+7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:27:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -6+2x-10x = 7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:27:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -6+2x-10x on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:27:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+2x-10x = 7 left 2 ERROR left -6-10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:28:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+2x-10x = 7 left 3 OK left -6-8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6-8x = 7 strategic 1 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6-8x+6 = 7+6 left 1 BUG left 8x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6-8x+6 = 7+6 left 2 OK left -8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 7+6 right 1 OK right 13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x = 13 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x/-8 = 13/-8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:29:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 13/-8 right 1 OK right -1.625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:30:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x = -7x+(-4) strategic 1 OK rds 1+2x = -7x+(-4) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x = -7x-4 strategic 1 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:30:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x = -7x-4 strategic 2 OK add 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:30:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x+4 = -7x-4+4 left 1 ERROR left 8+1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x+4 = -7x-4+4 right 1 OK right -7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+2x+4 = -7x left 1 OK left 2x+5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:32:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+5 = -7x strategic 1 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+5-2x = -7x-2x left 1 OK left 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = -7x-2x right 1 BUG right 5x 5x is equal to 7x minus 2x. You need to calculate -7x minus 2x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = -7x-2x right 2 BUG right -5x -5x is equal to -7x plus 2x. You need to calculate -7x minus 2x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = -7x-2x right 3 OK right -9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = -9x strategic 1 BUG divide -9x Dividing anything by itself will leave 1. If you divide -9x by -9, x will be left. Erase your last step and then divide by -9. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = -9x strategic 2 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x/-9 = 5/-9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:33:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 5/-9 right 1 OK right -0.5555 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:34:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.74y+5.34 = -0.19+(-2.1y) strategic 1 OK subtract -0.19 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:34:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.74y+5.53 = -2.1y strategic 1 ERROR subtract -2.1 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:35:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.74y+5.53 = -2.1y strategic 2 ERROR subtract -0.74 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:35:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.74y+5.53 = -2.1y strategic 3 OK subtract -2.1y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.36y+5.53 = 0 strategic 1 OK subtract 5.53 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:35:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.36y = -5.53 strategic 1 OK divide 1.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:36:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56+(-9.87y) = -1.11y+(-8.61) strategic 1 ERROR subtract -9.87 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:36:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56+(-9.87y) = -1.11y+(-8.61) strategic 2 ERROR subtract -9.87 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:37:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56+(-9.87y) = -1.11y+(-8.61) strategic 3 ERROR add 9.87 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:37:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56+(-9.87y) = -1.11y+(-8.61) strategic 4 OK add 9.87y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:37:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 1 ERROR add 8.76y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:37:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56+(-9.87y) = -1.11y+(-8.61) strategic 5 OK add 9.87y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 2 ERROR add 8.76y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:38:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 3 ERROR add 5.56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:38:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 4 ERROR add 5.56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:38:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 5 ERROR add 5.56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 6 ERROR add 5.56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 7 BUG add -5.56 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:27.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -11.12 = 8.76y-14.17 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:28.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE -14.17 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -14.17 (make it zero)? HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:34.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -11.12 = 8.76y-14.17 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:34.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE -14.17 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -14.17 (make it zero)? HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:39:40.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE You can add 14.17 to both sides of the equation to eliminate the constant value of -14.17 (-14.17 + 14.17 = 0). HINT 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 8 BUG add -5.56 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:17.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 9 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:18.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE -8.61 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8.61 (make it zero)? HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:23.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE You can add 8.61 to both sides of the equation to eliminate the constant value of -8.61 (-8.61 + 8.61 = 0). HINT 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.56 = 8.76y-8.61 strategic 10 OK add 8.61 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:40:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.05 = 8.76y strategic 1 OK divide 8.76 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:41:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.86+9.31y = 3.53+9.46y strategic 1 ERROR subtract 9.31 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:41:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.86+9.31y = 3.53+9.46y strategic 2 OK subtract 3.53 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:41:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.39+9.31y = 9.46y strategic 1 OK subtract 9.31y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:41:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.39 = 0.15y strategic 1 OK divide 0.15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:41:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.75+(-7.43y) = 3.24y+(-5.83) strategic 1 OK rds -1.75+(-7.43y) = 3.24y+(-5.83) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:42:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.75-7.43y = 3.24y-5.83 strategic 1 ERROR add 7.43 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:42:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.75-7.43y = 3.24y-5.83 strategic 2 OK add 7.43y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:42:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.75 = 10.67y-5.83 strategic 1 OK add 5.83 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:43:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.08 = 10.67y strategic 1 OK divide 10.67 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:43:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x+(-7.29) = 6.75x+(-8.03) strategic 1 OK rds 4.07x+(-7.29) = 6.75x+(-8.03) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:43:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x-7.29 = 6.75x-8.03 strategic 1 ERROR add 6.75 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:43:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x-7.29 = 6.75x-8.03 strategic 2 ERROR add 6.75x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:43:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x-7.29 = 6.75x-8.03 strategic 3 OK add 8.03 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:44:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x+0.74 = 6.75x strategic 1 ERROR subtract 6.75 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:44:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x+0.74 = 6.75x strategic 2 ERROR subtract 4.07 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:44:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.07x+0.74 = 6.75x strategic 3 OK subtract 4.07x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:44:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.74 = 2.68x strategic 1 OK divide 2.68 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I M6dNcwg session1 2007-04-24 12:44:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7y+(-2.67) = 8.76y+(-6.87) strategic 1 OK rds 7y+(-2.67) = 8.76y+(-6.87) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I MYmjG5R session0 2007-04-26 08:34:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check -2.06126 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:35:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.547202797 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:35:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -72 = 26+(-37y) strategic 1 OK answer-check 2.648648649 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:36:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -14.6 = -1.95+(-5.66x) strategic 1 OK answer-check 2.235 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:36:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 64.45y+(-60.86) = 56.62 strategic 1 ERROR answer-check 2.3599 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:41:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 64.45y+(-60.86) = 56.62 strategic 2 OK answer-check 1.822808379 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:44:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 100x+89 = -52 strategic 1 ERROR answer-check 1.584269663 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:46:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 100x+89 = -52 strategic 2 ERROR answer-check 2.405405405 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:46:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 100x+89 = -52 strategic 3 ERROR answer-check 1.584269663 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:46:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 100x+89 = -52 strategic 4 OK answer-check -1.41 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:48:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.44 = -11.56x+(-7.07) strategic 1 ERROR answer-check -.660194175 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:51:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.44 = -11.56x+(-7.07) strategic 2 ERROR answer-check -2.325167038 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:53:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.44 = -11.56x+(-7.07) strategic 3 OK answer-check -1.514705882 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:55:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -400 = 9283y+3934 strategic 1 ERROR answer-check 2.141901246 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:56:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -400 = 9283y+3934 strategic 2 ERROR answer-check -4.5625 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:58:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -400 = 9283y+3934 strategic 3 ERROR answer-check 0.466874933 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 08:58:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -400 = 9283y+3934 strategic 4 OK answer-check -0.466874933 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:02:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 6.48x+(-7.31) = -10.07 strategic 1 ERROR answer-check -2.347826087 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:02:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 6.48x+(-7.31) = -10.07 strategic 2 ERROR answer-check 2.347826087 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:04:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 6.48x+(-7.31) = -10.07 strategic 3 ERROR answer-check 0.425925926 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:04:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 6.48x+(-7.31) = -10.07 strategic 4 ERROR answer-check 0.4259 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:04:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 6.48x+(-7.31) = -10.07 strategic 5 OK answer-check -0.4259 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:08:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -7873 = -3733+(-7112y) strategic 1 ERROR answer-check 1.631889764 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:08:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -7873 = -3733+(-7112y) strategic 2 ERROR answer-check -1.631889764 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:10:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -7873 = -3733+(-7112y) strategic 3 ERROR answer-check -0.61278649 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:10:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -7873 = -3733+(-7112y) strategic 4 OK answer-check 0.5821 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:15:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.42+11.18y = 2.54 strategic 1 ERROR answer-check -1.247767857 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:17:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.42+11.18y = 2.54 strategic 2 ERROR answer-check -57.19677996 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:17:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.42+11.18y = 2.54 strategic 3 ERROR answer-check 57.19677996 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:18:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -6.42+11.18y = 2.54 strategic 4 OK answer-check 0.8014 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:19:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3734y+1298 = -386 strategic 1 ERROR answer-check -2.217339667 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:20:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3734y+1298 = -386 strategic 2 OK answer-check -0.450990894 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:22:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -2.93+7.97x = -14.73 strategic 1 OK answer-check -1.48055202 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:23:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -47x+31 = 50 strategic 1 OK answer-check -0.404255319 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:24:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 83.29y+(-59.7) = -88.24 strategic 1 OK answer-check -0.342658182 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:25:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -3.39x+(-8.6) = 12.24 strategic 1 OK answer-check -6.147492625 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:26:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -9798 = -9385y+(-3750) strategic 1 OK answer-check 0.644432605 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:27:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -87 = 94+96y strategic 1 OK answer-check -1.885416667 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:28:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -949 = -243+252/y strategic 1 ERROR answer-check -4.73015873 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:30:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -949 = -243+252/y strategic 2 ERROR answer-check -2.801587302 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:34:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -949 = -243+252/y strategic 3 ERROR answer-check 2.801587302 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:35:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -949 = -243+252/y strategic 4 OK answer-check -0.35694051 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:36:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -990/y+331 = -269 strategic 1 ERROR answer-check -0.062626263 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:36:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -990/y+331 = -269 strategic 2 ERROR answer-check 0.6 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:37:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -990/y+331 = -269 strategic 3 ERROR answer-check 0.000612182 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I MYmjG5R session0 2007-04-26 09:37:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -990/y+331 = -269 strategic 4 OK answer-check 1.65 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I O5h1Oxc session0 2007-04-16 13:25:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:25:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:25:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check -2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:26:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check (-2029)/(572) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:26:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check (2029)/(572) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:26:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 2.93y+(-12.2) = 2.34 strategic 1 OK subtract -12.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:27:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 2.93y = 14.54 strategic 1 OK divide 2.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:27:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 2.93y+(-12.2) = 2.34 strategic 2 OK answer-check 4.9625 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:27:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -910 = 8840+(-4802x) strategic 1 ERROR subtract -4802 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:27:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 3892 = 13642-4802x strategic 1 BUG add 13642 Since 13642 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 13642 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:28:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 17534 = 27284-4802x strategic 1 BUG add 27284 Since 27284 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 27284 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:28:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 44818 = 54568-4802x strategic 1 ERROR clt 44818 = 54568-4802x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:29:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -910 = 8840+(-4802x) strategic 2 OK answer-check (4875)/(2401) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:29:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1151 = 1148+1578y strategic 1 ERROR answer-check (23)/(11) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:30:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1151 = 1148+1578y strategic 2 OK subtract 1148 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:30:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 3 = 1578y strategic 1 OK divide 1578 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:30:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 1151 = 1148+1578y strategic 3 OK answer-check (1)/(526) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:30:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -4.44x+4.64 = 11.04 strategic 1 OK subtract 4.64 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:31:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -4.44x = 6.4 strategic 1 OK divide -4.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:31:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -4.44x+4.64 = 11.04 strategic 2 OK answer-check -1.4414 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:31:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -24.71 = -39.45+66.49x strategic 1 OK subtract -39.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:31:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 14.74 = 66.49x strategic 1 OK divide 66.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:31:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -24.71 = -39.45+66.49x strategic 2 OK answer-check 0.2217 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:32:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -87x+(-51) = 59 strategic 1 OK subtract -51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:32:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -87x = 110 strategic 1 OK divide -87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -87x+(-51) = 59 strategic 2 ERROR answer-check (110)/(87) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:32:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -87x+(-51) = 59 strategic 3 OK answer-check -(110)/(87) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:32:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.17y+13.45 = 2.97 strategic 1 OK subtract 13.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:33:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.17y = -10.48 strategic 1 OK divide -5.17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:33:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -5.17y+13.45 = 2.97 strategic 2 OK answer-check 2.0271 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:33:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 2424+234x = 5547 strategic 1 OK subtract 2424 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:33:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 234x = 3123 strategic 1 OK divide 234 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:34:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 2424+234x = 5547 strategic 2 OK answer-check (347)/(26) condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:34:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 1 OK subtract -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:36:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-(-13.9) = -13.9+2.68y-(-13.9) left 1 OK left -6.26 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:36:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.26 = -13.9+2.68y-(-13.9) right 1 OK right 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:36:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 2 ERROR answer-check condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:37:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 3 OK subtract -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-(-13.9) = -13.9+2.68y-(-13.9) left 2 OK left 21.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54 = -13.9+2.68y-(-13.9) right 1 OK right -13.9+2.68y-(-13.9) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54 = -13.9+2.68y+13.9 strategic 1 OK clt -13.9+2.68y+13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:44.0 HINT HINT HW_CONDN3 HW_CONDN3-2 EG42B y1R1 strategic 1 INITIAL_HINT This group of entry boxes represent the y terms. Find a y term in the expression. HINT 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:45.0 HINT HINT HW_CONDN3 HW_CONDN3-2 EG42B null strategic 1 HINT_LEVEL_CHANGE For example, drag 2.68y here. HINT 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:38:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y1R1 strategic 2 OK +2.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:39:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B constant terms1R1 strategic 1 OK -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B constant terms2R1 strategic 1 OK +13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session0 2007-04-16 13:39:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B yR2 strategic 1 OK 2.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:52:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 1 OK subtract -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:56:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-(-13.9) = -13.9+2.68y-(-13.9) left 1 OK left 21.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54 = -13.9+2.68y-(-13.9) right 1 OK right 2.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:56:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54 = 2.86y strategic 1 OK divide 2.86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:56:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54/2.86 = 2.86y/2.86 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:57:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54/2.86 = y left 1 OK left 7.531 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:57:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 1 ERROR answer-check 7.5315 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:58:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 2 OK subtract -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:58:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-(-13.9) = -13.9+2.68y-(-13.9) left 2 OK left 7.64-(-13.9) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64+13.9 = -13.9+2.68y-(-13.9) right 1 OK right 2.86y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:58:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64+13.9 = 2.86y strategic 1 OK clt 7.64+13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:59:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 21.54 = 2.86y strategic 2 BUG divide 21.54 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 12:59:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 3 BUG subtract 13.9 Since -13.9 is negative, you should add to remove it from the right side. Erase your last step and add 13.9 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-13.9 = -13.9+2.68y-13.9 left 1 OK left 7.64-13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:00:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-13.9 = -13.9+2.68y-13.9 right 1 OK right 2.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:00:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64-13.9 = 2.68y strategic 1 OK clt 7.64-13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:00:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.26 = 2.68y strategic 1 OK divide 2.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:00:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.26/2.68 = 2.68y/2.68 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:01:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.26/2.68 = y left 1 OK left 2.335 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 4 ERROR answer-check 2.335 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:01:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 7.64 = -13.9+2.68y strategic 5 OK answer-check 8.0373 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:03:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016 = 3427y+(-9742) strategic 1 BUG add -9742 To remove -9742 from the right side, you can add a positive to it. Erase your last step and add 9742 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016+(-9742) = 3427y+(-9742)+(-9742) left 1 OK left -2016+(-9742) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:03:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016-9742 = 3427y+(-9742)+(-9742) right 1 OK right 3472y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016-9742 = 3472y strategic 1 OK clt -2016-9742 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:04:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A FinalAnswer strategic 1 OK -11758 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:05:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016 = 3427y+(-9742) strategic 2 OK add 9742 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:05:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016+9742 = 3427y+(-9742)+9742 right 1 OK right 3427y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:06:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016+9742 = 3427y left 1 OK left 7726 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7726 = 3427y strategic 1 OK divide 3427 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:06:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7726/3427 = 3427y/3427 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:07:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7726/3427 = y left 1 OK left 2.254 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:07:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2016 = 3427y+(-9742) strategic 3 OK answer-check 2.2544 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:08:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 1 OK subtract -5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:08:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)-(-5.62) = 11.96-(-5.62) left 1 OK left -13.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:08:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 11.96-(-5.62) right 1 OK right 11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 2 OK subtract -5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)-(-5.62) = 11.96-(-5.62) left 2 OK left 13.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.9x = 11.96-(-5.62) right 1 OK right 11.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.9x = 11.96 strategic 1 OK divide 13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.9x/13.9 = 11.96/13.9 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:09:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 11.96/13.9 right 1 OK right 0.860 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:10:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 3 ERROR answer-check 0.8604 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 4 BUG subtract 5.62 Since -5.62 is negative, you should add to remove it from the left side. Erase your last step and add 5.62 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:10:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)-5.62 = 11.96-5.62 right 1 OK right 6.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:10:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)-5.62 = 6.34 left 1 OK left -13.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:11:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 6.34 strategic 1 BUG divide 13.9 In this equation, x is multiplied by -13.9. Dividing by 13.9 leaves -x, so you still need to remove the negative sign. It is better to divide by -13.9, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:11:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x/13.9 = 6.34/13.9 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:11:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 6.34/13.9 right 1 OK right 0.456 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:11:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 5 ERROR answer-check 0.4561 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:12:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 6 BUG add -5.62 To remove -5.62 from the left side, you can add a positive to it. Erase your last step and add 5.62 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:12:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 7 OK add 5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:12:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)+5.62 = 11.96+5.62 left 1 OK left -13.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:12:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 11.96+5.62 right 1 OK right 17.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:13:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 17.58 strategic 1 OK divide -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:13:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x/-13.9 = 17.58/-13.9 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:13:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 17.58/-13.9 right 1 OK right 3.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:13:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 8 ERROR answer-check 3.68 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:13:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 9 ERROR answer-check 1.2647 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:14:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 10 OK add 5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:14:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x)+5.62 = 11.96+5.62 left 2 OK left -13.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:14:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 11.96+5.62 right 2 OK right 17.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:15:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x = 17.58 strategic 2 OK divide -13.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:15:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.9x/-13.9 = 17.58/-13.9 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:15:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 17.58/-13.9 right 2 OK right 3.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:16:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 11 ERROR answer-check -3.68 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:16:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.62+(-13.9x) = 11.96 strategic 12 OK answer-check -1.2647 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:17:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = 50y+(-47) strategic 1 OK add 47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:17:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60+47 = 50y+(-47)+47 left 1 OK left 107 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:17:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 107 = 50y+(-47)+47 right 1 OK right 50y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:17:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 107 = 50y strategic 1 OK divide 50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:17:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 107/50 = 50y/50 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:18:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 107/50 = y left 1 OK left 2.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:18:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 60 = 50y+(-47) strategic 2 OK answer-check 2.14 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:18:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -11.78 = -51.42+27.76y strategic 1 OK add 51.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -11.78+51.42 = -51.42+27.76y+51.42 left 1 OK left 39.64 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 39.64 = -51.42+27.76y+51.42 right 1 OK right 27.76y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 39.64 = 27.76y strategic 1 OK divide 27.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 39.64/27.76 = 27.76y/27.76 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 39.64/27.76 = y left 1 OK left 1.427 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:19:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -11.78 = -51.42+27.76y strategic 2 OK answer-check 1.4280 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:20:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -37 = -28/x+45 strategic 1 OK answer-check 0.341 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:21:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 314+(-307/y) = 750 strategic 1 OK subtract 314 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:21:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -307/y = 436 strategic 1 BUG multiply -307 To remove -307/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -307/y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:22:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 314+(-307/y) = 750 strategic 2 ERROR answer-check 89476 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:29:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 314+(-307/y) = 750 strategic 3 ERROR answer-check 354769 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:30:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 314+(-307/y) = 750 strategic 4 ERROR answer-check 1.248 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I O5h1Oxc session1 2007-04-20 13:30:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 314+(-307/y) = 750 strategic 5 OK answer-check -0.704 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I POOVv3Y session0 2007-04-17 13:56:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 3.5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 13:56:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check 3.5402 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 13:58:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:02:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C -10.24 = -0.14+5.79x strategic 1 OK answer-check -1.7443 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:05:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A 6180+4690x = 6635 strategic 1 OK answer-check 0.0970 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:09:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.69y+2.95 = -11.24 strategic 1 OK answer-check -5.2750 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:17:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -5511 = -2209+5623x strategic 1 OK answer-check -0.587 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:20:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -63x+50 = -63 strategic 1 OK answer-check 1.7936 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:24:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -75+(-3y) = 91 strategic 1 OK answer-check -55.3333 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:28:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -9.41 = 13.39x+(-10.58) strategic 1 ERROR answer-check 0.08140 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session0 2007-04-17 14:28:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -9.41 = 13.39x+(-10.58) strategic 2 ERROR answer-check 0.0814 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 13:55:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -9.41 = 13.39x+(-10.58) strategic 1 OK answer-check 0.0873 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 13:58:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 1 ERROR answer-check 0.727 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 13:58:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 2 ERROR answer-check 0.7278 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:00:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 3 ERROR answer-check -1.37 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:02:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 4 ERROR answer-check 0.500 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:02:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 5 ERROR answer-check 0.50068 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:03:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 6 ERROR answer-check 0.50096 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:03:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -3185 = -5184y+(-558) strategic 7 OK answer-check 0.5068 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:06:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 0.98x+(-8.56) = 7.42 strategic 1 ERROR answer-check -1.16 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:07:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 0.98x+(-8.56) = 7.42 strategic 2 ERROR answer-check -1.163 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:09:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 0.98x+(-8.56) = 7.42 strategic 3 ERROR answer-check 1.632 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:09:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 0.98x+(-8.56) = 7.42 strategic 4 ERROR answer-check 1.63061 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:10:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 0.98x+(-8.56) = 7.42 strategic 5 OK answer-check 16.3061 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:12:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -6.18y+(-79.1) = -53.14 strategic 1 OK answer-check -4.20064 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:15:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 8559 = 7772+(-877y) strategic 1 ERROR answer-check -18.6221 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:18:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 8559 = 7772+(-877y) strategic 2 ERROR answer-check 0.8973 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:20:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 8559 = 7772+(-877y) strategic 3 OK answer-check -0.8973 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:22:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A 6.49 = 4.97+(-11.18y) strategic 1 OK answer-check -0.1359 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:24:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -63 = 61x+47 strategic 1 OK answer-check -1.8032 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:28:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A 522 = -244/y+(-789) strategic 1 OK answer-check -0.1861 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:31:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 1 ERROR answer-check -8.3768 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:31:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 2 ERROR answer-check 8.376 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session1 2007-04-24 14:31:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 3 ERROR answer-check -8.376 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 13:48:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 1 ERROR answer-check -1.1223 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 13:49:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 2 ERROR answer-check -0.8910 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 13:50:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 3 ERROR answer-check 1 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 13:50:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 446+578/x = -515 strategic 4 OK answer-check -0.6014 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 13:59:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -39 = -16/y+52 strategic 1 ERROR answer-check -0.5735 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:04:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -39 = -16/y+52 strategic 2 ERROR answer-check -0.175 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:04:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -39 = -16/y+52 strategic 3 ERROR answer-check -0.1758 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:04:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -39 = -16/y+52 strategic 4 OK answer-check 0.178 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:07:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -298 = 79+439/x strategic 1 ERROR answer-check 1.1511 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:07:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -298 = 79+439/x strategic 2 ERROR answer-check -1.1511 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:07:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -298 = 79+439/x strategic 3 ERROR answer-check 1.151 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:13:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -298 = 79+439/x strategic 4 ERROR answer-check -0.858 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:14:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -298 = 79+439/x strategic 5 OK answer-check -1.1644 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:15:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -60 = -98+52/x strategic 1 ERROR answer-check -0.3291 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:16:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -60 = -98+52/x strategic 2 ERROR answer-check -3.0384 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:16:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -60 = -98+52/x strategic 3 ERROR answer-check -3.038 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:16:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -60 = -98+52/x strategic 4 OK answer-check 1.368 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:18:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 796/y+(-964) = 254 strategic 1 ERROR answer-check 1.530 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:18:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 796/y+(-964) = 254 strategic 2 OK answer-check 0.6535 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:20:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -68 = 36+24/x strategic 1 OK answer-check -0.230 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:21:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 51+89/y = 48 strategic 1 ERROR answer-check -28 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:22:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 51+89/y = 48 strategic 2 ERROR answer-check -0.0357 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:22:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 51+89/y = 48 strategic 3 ERROR answer-check 28 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:22:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 51+89/y = 48 strategic 4 OK answer-check -29.666 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:24:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 33/y+(-93) = 46 strategic 1 OK answer-check 0.2374 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:26:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 497/y+713 = -786 strategic 1 OK answer-check -0.3315 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:27:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 34 = -40+59/y strategic 1 OK answer-check 0.7972 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:30:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -254 = -326/y+968 strategic 1 OK answer-check 0.26677 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I POOVv3Y session2 2007-04-26 14:31:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 503 = -902/y+(-295) strategic 1 OK answer-check -1.1303 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 13:54:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 13:55:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 90.22 = 6.11+90.36x strategic 1 OK answer-check 0.9308 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 13:58:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A -6298y+4543 = 4928 strategic 1 OK answer-check -385/6298 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 13:59:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 89 = 18+50x strategic 1 OK answer-check 1.42 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:02:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -96.48 = 60.22+(-48.62x) strategic 1 OK answer-check 3.222 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:05:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -11.7+6.49x = -2.08 strategic 1 OK answer-check 1.4822 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:07:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 72y+(-99) = 82 strategic 1 OK answer-check 2.5138 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:08:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -8.06 = -39.46+89.04x strategic 1 ERROR answer-check 1.8747 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:09:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -8.06 = -39.46+89.04x strategic 2 ERROR answer-check 0.5333 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:15:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -8.06 = -39.46+89.04x strategic 3 OK answer-check 0.3526 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:17:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -4559+5197x = 9037 strategic 1 ERROR answer-check 2.1666 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:17:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -4559+5197x = 9037 strategic 2 OK answer-check 2.6166 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:19:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 2.85x+(-1.36) = -13.44 strategic 1 ERROR answer-check 5.1929 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:25:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 2.85x+(-1.36) = -13.44 strategic 2 OK answer-check -4.2385 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:26:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -8.99 = 10.08+10.48y strategic 1 OK answer-check -1.8196 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session0 2007-04-17 14:28:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -31 = 52x+(-19) strategic 1 OK answer-check -0.2307 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:46:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -5.67 = 9.73+(-9.98y) strategic 1 ERROR answer-check -1.5430 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:47:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -5.67 = 9.73+(-9.98y) strategic 2 ERROR answer-check -0.6480 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:50:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -5.67 = 9.73+(-9.98y) strategic 3 OK answer-check 1.5431 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:51:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -9+67y = 85 strategic 1 OK answer-check 1.4029 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:53:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 4.59 = 8.34+(-6.37y) strategic 1 ERROR answer-check -2.0298 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:55:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 4.59 = 8.34+(-6.37y) strategic 2 OK answer-check 0.5886 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 13:58:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 4718 = -2686y+2799 strategic 1 OK answer-check -0.7144 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 14:00:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A 14.85y+(-9.78) = -14.65 strategic 1 OK answer-check -0.3279 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 14:00:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A 540+(-49/y) = 136 strategic 1 OK answer-check 0.1212 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 14:01:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -975+(-325/y) = -597 strategic 1 ERROR answer-check 2.2380 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session1 2007-04-24 14:11:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -975+(-325/y) = -597 strategic 2 OK answer-check -0.8597 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:46:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -79/x+(-84) = 81 strategic 1 ERROR answer-check -2.0886 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:50:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -79/x+(-84) = 81 strategic 2 OK answer-check -0.4787 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:52:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 98 = -50+(-56/x) strategic 1 OK answer-check -0.3783 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:53:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 655 = -952/y+(-844) strategic 1 OK answer-check -0.6350 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:55:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -945/y+20 = 6 strategic 1 OK answer-check 67.5 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:57:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -615 = 860/x+(-299) strategic 1 OK answer-check -2.7215 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 13:58:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -69/y+15 = 55 strategic 1 OK answer-check -1.725 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:00:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -692 = -651/x+(-794) strategic 1 OK answer-check -6.3823 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:01:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 7x+(-5) = -2+(-7x) strategic 1 OK answer-check 0.2142 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:03:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1y+(-10) = -8y+0 strategic 1 OK answer-check 1.4285 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:05:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+5x = -9x+(-7) strategic 1 ERROR answer-check 0.9285 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:06:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6+5x = -9x+(-7) strategic 2 OK answer-check -0.0714 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:07:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+(-6) = -2y+9 strategic 1 ERROR answer-check 0 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:08:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -2y+(-6) = -2y+9 strategic 2 ERROR answer-check 15 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:14:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -10+3y = 3+2y strategic 1 OK answer-check 13 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:17:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 5y+8 = -10y+5 strategic 1 OK answer-check -0.2 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:18:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -9x+(-3) = 2x+9 strategic 1 OK answer-check -1.0909 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:29:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -4y+(-5) = -5+3y strategic 1 OK answer-check 0 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:30:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 3x+(-5) = -7x+(-1) strategic 1 OK answer-check 0.4 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I Q5DKsvE session2 2007-04-26 14:31:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2x+(-8) = 4x+(-9) strategic 1 OK answer-check 0.5 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I Qro3hJX session0 2007-04-27 08:24:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:25:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:25:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:25:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:25:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -6.8x+(-5.76) = -0.45 strategic 1 OK subtract -5.76 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -6.8x = 5.31 strategic 1 OK divide -6.8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -27+5y = 48 strategic 1 OK subtract -27 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 5y = 75 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 1.59+(-10.83x) = 14.95 strategic 1 OK subtract 1.59 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -10.83x = 13.36 strategic 1 OK divide -10.83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -86x+(-10) = -27 strategic 1 OK subtract -10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -86x = -17 strategic 1 OK divide -86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:26:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -374y+4317 = -2010 strategic 1 OK subtract 4317 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -374y = -6327 strategic 1 OK divide -374 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -48.58 = 13.39+84.48x strategic 1 OK subtract 13.39 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:27:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -48.58-13.39 = 13.39+84.48x-13.39 right 1 OK right 84.48x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:28:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -48.58-13.39 = 84.48x left 1 BUG left 35.19 35.19 is equal to 48.58 minus 13.39. You need to calculate -48.58 minus 13.39. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:28:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -48.58-13.39 = 84.48x left 2 OK left -61.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:28:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -61.97 = 84.48x strategic 1 OK divide 84.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:28:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -61.97/84.48 = 84.48x/84.48 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:29:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -61.97/84.48 = x left 1 OK left -0.7335 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 53 = -11+(-71x) strategic 1 OK subtract -11 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:29:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 53-(-11) = -11+(-71x)-(-11) right 1 OK right -71x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:29:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 53-(-11) = -71x left 1 OK left 64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:30:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 64 = -71x strategic 1 OK divide -71 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:30:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 64/-71 = -71x/-71 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 64/-71 = x left 1 OK left -0.901 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:30:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x+4.45 = 1.53 strategic 1 OK subtract 4.45 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:30:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x+4.45-4.45 = 1.53-4.45 left 1 OK left 11.02x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x = 1.53-4.45 right 1 ERROR right -2.29 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x = 1.53-4.45 right 2 OK right -2.92 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x = -2.92 strategic 1 OK divide 11.02 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 11.02x/11.02 = -2.92/11.02 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C x = -2.92/11.02 right 1 OK right -0.264 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:31:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -982 = 576+(-237/y) strategic 1 OK subtract 576 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -1558 = -237/y strategic 1 BUG multiply -1558 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:32:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -1558 = -237/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:32:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -1558y = -237 strategic 1 OK divide -1558 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -593+554/y = 96 strategic 1 OK subtract -593 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:32:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 554/y = 689 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 554 = 689y strategic 1 OK divide 689 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 88 = -80+(-92/y) strategic 1 OK subtract -80 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 168 = -92/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 168y = -92 strategic 1 OK divide 168 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -810 = -383/y+(-16) strategic 1 OK subtract -16 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -794 = -383/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -794y = -383 strategic 1 OK divide -794 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y+776 = -832 strategic 1 OK subtract 776 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:34:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y+776-776 = -832-776 left 1 OK left 105/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:34:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y = -832-776 right 1 BUG right 56 56 is equal to 832 minus 776. You need to calculate -832 minus 776. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:34:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y = -832-776 right 2 OK right -1608 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:34:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y = -1608 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:34:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/y*y = -1608y left 1 OK left 105 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:35:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105 = -1608y right 1 OK right -1608y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:35:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105 = -1608y strategic 1 OK divide -1608 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:35:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/-1608 = -1608y/-1608 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:35:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105/-1608 = y left 1 OK left -0.065 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -87 = 78+76/y strategic 1 OK subtract 78 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -87-78 = 78+76/y-78 right 1 OK right 76/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -87-78 = 76/y left 1 OK left -165 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -165 = 76/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -165y = 76/y*y right 1 OK right 76 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -165y = 76 left 1 OK left -165y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -165y = 76 strategic 1 OK divide -165 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:36:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -165y/-165 = 76/-165 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:37:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = 76/-165 right 1 OK right -0.460 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:37:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 7 = -49+65/x strategic 1 OK subtract -49 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:37:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 7-(-49) = -49+65/x-(-49) right 1 OK right 65/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 7-(-49) = 65/x left 1 OK left 56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 56 = 65/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 56x = 65/x*x right 1 OK right 65 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 56x = 65 left 1 OK left 56x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 56x = 65 strategic 1 OK divide 56 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 56x/56 = 65/56 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = 65/56 right 1 OK right 1.1607 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:38:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9+10x = 7+3x strategic 1 OK subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10x = 16+3x strategic 1 OK subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 7x = 16 strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y+6 = -7y+(-7) strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5y = -7y-13 strategic 1 OK subtract -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 12y = -13 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+3 = 5+1x strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 2+x strategic 1 OK subtract x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:39:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = 2 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+7x = 8+(-5x) strategic 1 OK subtract -6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7x = 14-5x strategic 1 OK subtract -5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 12x = 14 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+10 = 6+(-8x) strategic 1 OK subtract 10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+10-10 = 6+(-8x)-10 left 1 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:40:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 6+(-8x)-10 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:41:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 right 1 OK right 6+(-8x)-10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:41:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6-8x-10 strategic 1 BUG add 10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:41:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+10 = 6+(-8x) strategic 2 OK subtract 10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:41:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+10-10 = 6+(-8x)-10 left 2 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:43:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 right 2 ERROR right -8x-10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:43:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:43:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 6+(-8x)-10 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:43:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 right 3 BUG right -8x+16 -8x+16 is equal to 6+[-8x] plus 10. You need to calculate 6+[-8x] minus 10. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:44:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6+(-8x)-10 right 4 OK right 6+(-8x)-10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:44:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6-8x-10 strategic 2 OK divide 2 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:44:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x/2 = (6-8x-10)/2 left 1 OK left x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:45:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-8x-10)/2 right 1 ERROR right 6-8x-10/2 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:49:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 6-8x-10 strategic 3 OK subtract -8x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:49:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-(-8x) = 6-8x-10-(-8x) left 1 OK left 10x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 6-8x-10-(-8x) right 1 OK right 6-10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 6-10 strategic 1 OK clt 6-10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -4 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -4 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x/10 = -4/10 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:50:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/10 right 1 OK right -0.4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:51:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-8y) = -6y+0 strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:51:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-8y)-6 = -6y+0-6 left 1 OK left -8y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:51:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -6y+0-6 right 1 OK right -6y+-6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:52:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = -6y+(-6) strategic 1 OK subtract -6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:52:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-(-6y) = -6y+(-6)-(-6y) left 1 OK left -2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:52:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -6y+(-6)-(-6y) right 1 BUG right -6y+-6 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:52:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -6y+(-6)-(-6y) right 2 OK right -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:53:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -6 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:53:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y/-2 = -6/-2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:53:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -6/-2 right 1 ERROR right -4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:53:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -6/-2 right 2 OK right 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:54:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y+(-8) = 9y+2 strategic 1 OK subtract -8 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:54:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y+(-8)-(-8) = 9y+2-(-8) left 1 OK left -8y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:54:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 9y+2-(-8) right 1 BUG right 9y+2 You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 9y+2-(-8) right 2 OK right 9y+10 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 9y+10 strategic 1 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-9y = 9y+10-9y left 1 OK left -17y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -17y = 9y+10-9y right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -17y = 10 strategic 1 OK divide -17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -17y/-17 = 10/-17 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:55:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 10/-17 right 1 OK right -0.588 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:57:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+8y = 4y+(-3) strategic 1 OK subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:57:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+8y-(-9) = 4y+(-3)-(-9) left 1 OK left 8y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:57:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y = 4y+(-3)-(-9) right 1 ERROR right 6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:57:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y = 4y+(-3)-(-9) right 2 OK right 4y+6 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y = 4y+6 strategic 1 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8y-4y = 4y+6-4y left 1 OK left 4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 4y+6-4y right 1 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y = 6 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y/4 = 6/4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 6/4 right 1 OK right 1.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 6.53+2.34x = 7.87x+5.48 strategic 1 OK subtract 6.53 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:58:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 2.34x = 7.87x-1.05 strategic 1 BUG divide 2.34 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 2.34x = 7.87x-1.05 strategic 2 ERROR subtract 7.87 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 2.34x = 7.87x-1.05 strategic 3 OK subtract 7.87x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.53x = -1.05 strategic 1 OK divide -5.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.2x+(-2.14) = -7.47+(-5.64x) strategic 1 OK subtract -2.14 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.2x = -5.33-5.64x strategic 1 OK subtract -5.64x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.84x = -5.33 strategic 1 OK divide 8.84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 08:59:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.82x+(-0.85) = -0.61+5.06x strategic 1 OK subtract -0.85 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.82x = 0.24+5.06x strategic 1 OK subtract 5.06x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.88x = 0.24 strategic 1 OK divide -7.88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.7+(-8.42y) = -0.65y+9.9 strategic 1 OK subtract 6.7 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.42y = -0.65y+3.2 strategic 1 OK subtract -0.65y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.77y = 3.2 strategic 1 OK divide -7.77 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y+5.22 = -4.69y+3.37 strategic 1 OK subtract 5.22 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:00:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y+5.22-5.22 = -4.69y+3.37-5.22 left 1 OK left 8y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:01:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y = -4.69y+3.37-5.22 right 1 ERROR right -1.85 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:01:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y = -4.69y+3.37-5.22 right 2 OK right -4.69y+-1.85 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:01:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y = -4.69y+(-1.85) strategic 1 OK subtract -4.69y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:02:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8y-(-4.69y) = -4.69y+(-1.85)-(-4.69y) left 1 OK left 12.69y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:02:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.69y = -4.69y+(-1.85)-(-4.69y) right 1 OK right -1.85 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:02:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.69y = -1.85 strategic 1 OK divide 12.69 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:02:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.69y/12.69 = -1.85/12.69 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:02:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -1.85/12.69 right 1 OK right -0.145 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:03:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y+(-1.73) = 1.17+(-4.65y) strategic 1 OK subtract -1.73 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:03:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y+(-1.73)-(-1.73) = 1.17+(-4.65y)-(-1.73) left 1 OK left -0.69y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:06:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17+(-4.65y)-(-1.73) right 1 ERROR right -4.65y-(-0.56) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:08:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17+(-4.65y)-(-1.73) right 2 ERROR right 1.17+(4.65y)-(-1.73) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:08:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17+(-4.65y)-(-1.73) right 3 OK right 1.17+(-4.65y)-(-1.73) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:09:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 1 BUG subtract 1.73 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:10:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 2 BUG subtract 4.65y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:10:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 3 BUG add 1.17 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:10:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 4 BUG subtract 1.73 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:11:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 5 BUG add 1.1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:11:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 6 BUG add 1.17 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:11:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y = 1.17-4.65y+1.73 strategic 7 OK add 4.65y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:11:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y+4.65y = 1.17-4.65y+1.73+4.65y right 1 ERROR right 1.17-1.73 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:12:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y+4.65y = 1.17-4.65y+1.73+4.65y left 1 ERROR left 5.34y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:13:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.69y+4.65y = 1.17-4.65y+1.73+4.65y left 2 OK left 3.96y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:13:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 1.17-4.65y+1.73+4.65y right 1 ERROR right -0.56 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:14:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 1.17-4.65y+1.73+4.65y right 2 BUG right 2.9 Just add 1.17-4.65y+1.73 to 4.65y. You can simplify in the next step. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:15:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 1.17-4.65y+1.73+4.65y right 3 OK right 1.17-4.65y+1.73+4.65y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:15:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 1.17-4.65y+1.73+4.65y strategic 1 ERROR rds 3.96y = 1.17-4.65y+1.73+4.65y strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:15:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 1.17-4.65y+1.73+4.65y strategic 2 OK clt 1.17-4.65y+1.73+4.65y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:16:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK -4.65y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:16:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 1 BUG 1.17 1.17
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 1.17, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:16:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK 1.17 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:17:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y2R1 strategic 2 OK +4.65y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:17:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +1.73 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:17:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:18:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 2 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:18:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 0+2.9 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:18:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 0+2.9 strategic 1 OK unnec-elems 3.96y=0+2.9 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:20:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y = 2.9 strategic 1 OK divide 3.96 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:20:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.96y/3.96 = 2.9/3.96 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:20:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 2.9/3.96 right 1 OK right 0.732 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:21:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.37+(-9.98y) = -7.91+(-3.59y) strategic 1 OK subtract 6.37 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:21:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.37+(-9.98y)-6.37 = -7.91+(-3.59y)-6.37 left 1 ERROR left -9.88y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:21:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.37+(-9.98y)-6.37 = -7.91+(-3.59y)-6.37 left 2 OK left -9.98y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:22:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y = -7.91+(-3.59y)-6.37 right 1 ERROR right -3.59y-(-14.28) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:23:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y = -7.91+(-3.59y)-6.37 right 2 ERROR right -3.59y-(-1.54) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y = -7.91+(-3.59y)-6.37 right 3 OK right -3.59y +(-14.28) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y = -3.59y+(-14.28) strategic 1 ERROR subtract -3.59 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:27:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y = -3.59y+(-14.28) strategic 2 OK subtract -3.59y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:28:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y-(-3.59y) = -3.59y+(-14.28)-(-3.59y) left 1 BUG left 13.57y 13.57y is equal to 9.98y minus -3.59y. You need to calculate -9.98y minus -3.59y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.98y-(-3.59y) = -3.59y+(-14.28)-(-3.59y) left 2 OK left -6.39y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:29:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.39y = -3.59y+(-14.28)-(-3.59y) right 1 OK right -14.28 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.39y = -14.28 strategic 1 OK divide -6.39 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:29:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.39y/-6.39 = -14.28/-6.39 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:30:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -14.28/-6.39 right 1 OK right 2.234 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:30:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5.7+(-4.46y) = -6.52+(-6.98y) strategic 1 OK subtract 5.7 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:30:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5.7+(-4.46y)-5.7 = -6.52+(-6.98y)-5.7 left 1 OK left -4.46y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:31:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y = -6.52+(-6.98y)-5.7 right 1 OK right -6.98y+(-12.22) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y = -6.98y+(-12.22) strategic 1 ERROR subtract -6.98 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:35:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y = -6.98y+(-12.22) strategic 2 ERROR subtract -12.22 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:35:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y = -6.98y+(-12.22) strategic 3 OK subtract -6.98y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:36:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y-(-6.98y) = -6.98y+(-12.22)-(-6.98y) left 1 BUG left 11.44y 11.44y is equal to 4.46y minus -6.98y. You need to calculate -4.46y minus -6.98y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:36:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.46y-(-6.98y) = -6.98y+(-12.22)-(-6.98y) left 2 OK left 2.52y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:36:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.52y = -6.98y+(-12.22)-(-6.98y) right 1 OK right -12.22 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:36:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.52y = -12.22 strategic 1 OK divide 2.52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:37:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.52y/2.52 = -12.22/2.52 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:37:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -12.22/2.52 right 1 OK right -4.849 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:37:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y+(-5.04) = -7.59y+6.34 strategic 1 OK subtract -5.04 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y+(-5.04)-(-5.04) = -7.59y+6.34-(-5.04) left 1 OK left 7.2y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:38:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y = -7.59y+6.34-(-5.04) right 1 OK right -7.59y+11.38 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:38:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y = -7.59y+11.38 strategic 1 ERROR subtract -7.59 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:38:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y = -7.59y+11.38 strategic 2 OK subtract -7.59y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session0 2007-04-27 09:38:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y-(-7.59y) = -7.59y+11.38-(-7.59y) right 1 OK right 11.38 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 08:59:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y-(-7.59y) = 11.38 left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 08:59:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.2y-(-7.59y) = 11.38 left 2 OK left 14.79y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:00:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.79y = 11.38 strategic 1 OK divide 14.79 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:00:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.79y/14.79 = 11.38/14.79 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:00:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 11.38/14.79 right 1 OK right 0.769 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:00:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y) = 6.73y+3.19 strategic 1 ERROR subtract 3.69 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:01:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y) = 6.73y+3.19 strategic 2 OK subtract 3.19 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:01:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y)-3.19 = 6.73y+3.19-3.19 right 1 OK right 6.73y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:04:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y)-3.19 = 6.73y left 1 ERROR left -0.93y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:04:50.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y)-3.19 = 6.73y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:04:51.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in 3.49+(-4.42y)-3.19 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:05:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y)-3.19 = 6.73y left 2 ERROR left 3.49+(-4.43y)-3.19 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:05:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49+(-4.42y)-3.19 = 6.73y left 3 OK left 3.49+(-4.42y)-3.19 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:05:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49-4.42y-3.19 = 6.73y strategic 1 BUG multiply 6.73 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:05:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49-4.42y-3.19 = 6.73y strategic 2 BUG add 3.49 Since 3.49 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3.49 from both sides. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49-4.42y-3.19 = 6.73y strategic 3 BUG multiply 4.42y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.49-4.42y-3.19 = 6.73y strategic 4 OK clt 3.49-4.42y-3.19 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 BUG 3.49 3.49
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3.49, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 2 OK -4.42y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK 3.49 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:07:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -3.19 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:08:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 0.3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:08:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 OK -4.42y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -4.42y+0.3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.42y+0.3 = 6.73y strategic 1 ERROR subtract 0.3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.42y+0.3 = 6.73y strategic 2 ERROR multiply -4.42y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.42y+0.3 = 6.73y strategic 3 OK subtract -4.42y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.42y+0.3-(-4.42y) = 6.73y-(-4.42y) left 1 OK left 0.3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:09:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.3 = 6.73y-(-4.42y) right 1 ERROR right 49.71y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:10:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.3 = 6.73y-(-4.42y) right 2 OK right 11.15y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:10:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.3 = 11.15y strategic 1 OK divide 11.15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:10:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.3/11.15 = 11.15y/11.15 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:11:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.3/11.15 = y left 1 OK left 0.0269 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:12:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x+(-5.57) = -5.41x+0.89 strategic 1 OK subtract -5.57 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:12:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x+(-5.57)-(-5.57) = -5.41x+0.89-(-5.57) left 1 OK left -4.4x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:12:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x = -5.41x+0.89-(-5.57) right 1 ERROR right -4.52x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:13:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x = -5.41x+0.89-(-5.57) right 2 ERROR right -5.41x+4.68 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:13:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x = -5.41x+0.89-(-5.57) right 3 OK right -5.41x+6.46 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:13:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x = -5.41x+6.46 strategic 1 ERROR subtract -5.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:14:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x = -5.41x+6.46 strategic 2 OK subtract -5.41x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:14:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x-(-5.41x) = -5.41x+6.46-(-5.41x) left 1 BUG left -4.4x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:14:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x-(-5.41x) = -5.41x+6.46-(-5.41x) left 2 BUG left 9.81x 9.81x is equal to 4.4x minus -5.41x. You need to calculate -4.4x minus -5.41x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.4x-(-5.41x) = -5.41x+6.46-(-5.41x) left 3 OK left 1.01x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.01x = -5.41x+6.46-(-5.41x) right 1 OK right 6.46 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.01x = 6.46 strategic 1 OK divide 1.01 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.01x/1.01 = 6.46/1.01 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 6.46/1.01 right 1 ERROR right 6.39 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:15:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 6.46/1.01 right 2 OK right 6.396 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:16:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.58+6.67y = -7.93y+(-7.52) strategic 1 BUG subtract 9.58 Since -9.58 is negative, you should add to remove it from the both side. Erase your last step and add 9.58 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:16:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.58+6.67y = -7.93y+(-7.52) strategic 2 OK subtract -9.58 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:16:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.58+6.67y-(-9.58) = -7.93y+(-7.52)-(-9.58) left 1 OK left 6.67y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:17:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.67y = -7.93y+(-7.52)-(-9.58) right 1 OK right -7.93y+2.06 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:21:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.67y = -7.93y+2.06 strategic 1 OK subtract 6.67y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:21:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.67y-6.67y = -7.93y+2.06-6.67y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:21:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.67y-6.67y = -7.93y+2.06-6.67y left 2 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:25:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0y = -7.93y+2.06-6.67y right 1 ERROR right -5.87y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:26:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0y = -7.93y+2.06-6.67y right 2 OK right -14.6y+2.06 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:26:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0y = -14.6y+2.06 strategic 1 OK subtract -14.6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:27:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0y-(-14.6y) = -14.6y+2.06-(-14.6y) left 1 OK left 14.6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.6y = -14.6y+2.06-(-14.6y) right 1 OK right 2.06 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:27:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.6y = 2.06 strategic 1 OK divide 14.6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:27:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.6y/14.6 = 2.06/14.6 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:27:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 2.06/14.6 right 1 OK right 0.1410 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:28:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x) = -7.67+(-5.92x) strategic 1 OK subtract 8.77 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:28:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 1 ERROR left -4.22y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 2 ERROR left 4.55y condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:29:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 3 ERROR left -12.99x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 4 BUG left 8.77+-4.22x You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 5 ERROR left 4.55x-8.77 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:30:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 6 ERROR left 4.55x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 7 ERROR left 8.77+4.55x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:31:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-8.77 = -7.67+(-5.92x)-8.77 left 8 ERROR left 8.77+(-4.55x) condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:31:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x) = -7.67+(-5.92x) strategic 2 OK subtract -7.67 condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:31:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-(-7.67) = -7.67+(-5.92x)-(-7.67) left 1 ERROR left 4.55x condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:38:44.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 8.77+(-4.22x)-(-7.67) = -7.67+(-5.92x)-(-7.67) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I Qro3hJX session1 2007-05-04 09:38:46.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in 8.77+(-4.22x)-(-7.67) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I S2M2j2W session36 2007-04-20 13:32:13.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:35:28.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG multiply -1,144 To remove the coefficient of -1144y, you need to divide. Erase your last step and then divide both sides by -1144. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:37:08.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:37:10.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -1144y is -1144 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:37:14.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1144. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:37:22.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 3 BUG divide 1,144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:37:31.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 4 OK divide -1,144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:38:09.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1608 = -4810+5153x strategic 1 ERROR add 5,153 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:38:40.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1608 = -4810+5153x strategic 2 ERROR subtract 5,153 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:38:58.0 HINT HINT ES_05 ES_05-1 EG43A -1608 = -4810+5153x strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:38:59.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE -4810 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4810 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:39:03.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can add 4810 to both sides of the equation to eliminate the constant value of -4810 (-4810 + 4810 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:39:14.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1608 = -4810+5153x strategic 4 OK add 4,810 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:39:53.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 3202 = 5153x strategic 1 BUG divide 3,202 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:39:58.0 HINT HINT ES_05 ES_05-1 EG43A 3202 = 5153x strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:39:59.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 3 HINT_LEVEL_CHANGE 5153x is 5153 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:40:02.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 5153. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:40:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 3202 = 5153x strategic 3 OK divide 5,153 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:40:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08+(-29.12y) strategic 1 ERROR add -29.12 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:40:59.0 HINT HINT ES_05 ES_05-1 EG42 96.17 = -85.08+(-29.12y) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:00.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:04.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08+(-29.12y) strategic 3 OK rds 96.17 = -85.08+(-29.12y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:18.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 1 ERROR add -29.12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:21.0 HINT HINT ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:22.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE -85.08 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -85.08 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:28.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 3 HINT_LEVEL_CHANGE You can add 85.08 to both sides of the equation to eliminate the constant value of -85.08 (-85.08 + 85.08 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:41:39.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 3 BUG add -85.08 To remove -85.08 from the right side, you can add a positive to it. Erase your last step and add 85.08 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:42:08.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 4 BUG add -85.08 To remove -85.08 from the right side, you can add a positive to it. Erase your last step and add 85.08 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:42:51.0 HINT HINT ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:42:52.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 4 HINT_LEVEL_CHANGE -85.08 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -85.08 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:42:55.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 5 HINT_LEVEL_CHANGE You can add 85.08 to both sides of the equation to eliminate the constant value of -85.08 (-85.08 + 85.08 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:06.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.17 = -85.08-29.12y strategic 6 OK add 85.08 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:17.0 CYCLE CYCLE ES_05 ES_05-1 EG42 181.25 = -29.12y strategic 1 OK divide -29.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:33.0 HINT HINT ES_05 ES_05-1 EG43 53 = -2+13y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:34.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:37.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:44.0 CYCLE CYCLE ES_05 ES_05-1 EG43 53 = -2+13y strategic 2 BUG add -2 To remove -2 from the right side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:49.0 CYCLE CYCLE ES_05 ES_05-1 EG43 53 = -2+13y strategic 3 OK add 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:53.0 HINT HINT ES_05 ES_05-1 EG43 55 = 13y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:54.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE 13y is 13 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:43:59.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 13. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:03.0 CYCLE CYCLE ES_05 ES_05-1 EG43 55 = 13y strategic 2 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:19.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24+(-3.41x) = 0.58 strategic 1 OK rds 3.24+(-3.41x) = 0.58 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:27.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 1 ERROR add -3.41 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:38.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 2 BUG add .58 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:42.0 HINT HINT ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:43.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 1 HINT_LEVEL_CHANGE 3.24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3.24 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:46.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 2 HINT_LEVEL_CHANGE You can subtract 3.24 from both sides of the equation to eliminate the constant value of 3.24 (3.24 - 3.24 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:44:58.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 4 ERROR subtract 3.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:06.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 5 ERROR add -3.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:11.0 HINT HINT ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:12.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 3 HINT_LEVEL_CHANGE 3.24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3.24 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:20.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 7 BUG add 3.24 Since 3.24 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3.24 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:31.0 HINT HINT ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 8 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:32.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 4 HINT_LEVEL_CHANGE 3.24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3.24 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:35.0 HINT HINT ES_05 ES_05-1 EG42C null strategic 5 HINT_LEVEL_CHANGE You can subtract 3.24 from both sides of the equation to eliminate the constant value of 3.24 (3.24 - 3.24 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:45:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 3.24-3.41x = 0.58 strategic 9 OK subtract 3.24 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:04.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -3.41x = -2.66 strategic 1 BUG divide -2.66 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:12.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -3.41x = -2.66 strategic 2 OK divide -3.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9478y+3560 = 1032 strategic 1 BUG add 3,560 Since 3560 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3560 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:53.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9478y+3560 = 1032 strategic 2 ERROR add -9478 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:58.0 HINT HINT ES_05 ES_05-1 EG43A -9478y+3560 = 1032 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:46:59.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE 3560 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3560 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:03.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can subtract 3560 from both sides of the equation to eliminate the constant value of 3560 (3560 - 3560 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:15.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9478y+3560 = 1032 strategic 4 OK subtract 3560 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:24.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9478y = -2528 strategic 1 OK divide -9478 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:34.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 11.76 = -1.93+(-4.78y) strategic 1 OK rds 11.76 = -1.93+(-4.78y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:43.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 11.76 = -1.93-4.78y strategic 1 BUG add -1.93 To remove -1.93 from the right side, you can add a positive to it. Erase your last step and add 1.93 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:47:52.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 9.83 = -3.86-4.78y strategic 1 BUG add 9.83 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:48:32.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 11.76 = -1.93-4.78y strategic 2 BUG add 11.76 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:48:38.0 HINT HINT ES_05 ES_05-1 EG42A 11.76 = -1.93-4.78y strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:48:39.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 1 HINT_LEVEL_CHANGE -1.93 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1.93 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:48:42.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 2 HINT_LEVEL_CHANGE You can add 1.93 to both sides of the equation to eliminate the constant value of -1.93 (-1.93 + 1.93 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:48:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 11.76 = -1.93-4.78y strategic 4 OK add 1.93 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:49:16.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 13.69 = -4.78y strategic 1 OK divide -4.78 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:49:29.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9488x+(-4068) = -2455 strategic 1 OK rds -9488x+(-4068) = -2455 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:49:36.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9488x-4068 = -2455 strategic 1 OK add 4068 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:49:48.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9488x = 1613 strategic 1 BUG divide 1613 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:49:58.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -9488x = 1613 strategic 2 OK divide -9488 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:15.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 1 ERROR add 9.95 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:25.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 2 BUG add 7.14 Since 7.14 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 7.14 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:38.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 3 BUG add 13.48 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:46.0 HINT HINT ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:47.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE 7.14 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 7.14 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:50:51.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 2 HINT_LEVEL_CHANGE You can subtract 7.14 from both sides of the equation to eliminate the constant value of 7.14 (7.14 - 7.14 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:03.0 HINT HINT ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:04.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 3 HINT_LEVEL_CHANGE 7.14 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 7.14 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:07.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 4 HINT_LEVEL_CHANGE You can subtract 7.14 from both sides of the equation to eliminate the constant value of 7.14 (7.14 - 7.14 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:13.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.14+9.95y = 13.48 strategic 6 OK subtract 7.14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 9.95y = 6.34 strategic 1 OK divide 9.95 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:51:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.08 = -11.53y+(-11.91) strategic 1 ERROR add -11.53 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:01.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.08 = -11.53y+(-11.91) strategic 2 OK rds 0.08 = -11.53y+(-11.91) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:09.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.08 = -11.53y-11.91 strategic 1 BUG add -11.91 To remove -11.91 from the right side, you can add a positive to it. Erase your last step and add 11.91 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:18.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.08 = -11.53y-11.91 strategic 2 ERROR subtract -11.53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:22.0 HINT HINT ES_05 ES_05-1 EG42B 0.08 = -11.53y-11.91 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:22.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE -11.91 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -11.91 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:26.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 2 HINT_LEVEL_CHANGE You can add 11.91 to both sides of the equation to eliminate the constant value of -11.91 (-11.91 + 11.91 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:32.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 0.08 = -11.53y-11.91 strategic 4 OK add 11.91 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:41.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.99 = -11.53y strategic 1 BUG divide 11.99 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:52:49.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 11.99 = -11.53y strategic 2 OK divide -11.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:53:02.0 HINT HINT ES_05 ES_05-1 EG43A 3733+9523x = 7923 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:53:02.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE 3733 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3733 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:53:06.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can subtract 3733 from both sides of the equation to eliminate the constant value of 3733 (3733 - 3733 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:53:23.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 3733+9523x = 7923 strategic 2 OK subtract 3733 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:53:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9523x = 4190 strategic 1 OK divide 9523 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:05.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -14.18 = 89.93+23.2y strategic 1 ERROR add 88.93 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:19.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -14.18 = 89.93+23.2y strategic 2 BUG add -14.18 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:23.0 HINT HINT ES_05 ES_05-1 EG42 -14.18 = 89.93+23.2y strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:24.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE 89.93 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 89.93 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:27.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE You can subtract 89.93 from both sides of the equation to eliminate the constant value of 89.93 (89.93 - 89.93 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:33.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -14.18 = 89.93+23.2y strategic 4 OK subtract 89.93 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:39.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -104.11 = 23.2y strategic 1 OK divide 23.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:51.0 HINT HINT ES_05 ES_05-1 EG43 0+43x = -82 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:52.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:54:55.0 CYCLE CYCLE ES_05 ES_05-1 EG43 0+43x = -82 strategic 2 OK clt 0+43x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:01.0 HINT HINT ES_05 ES_05-1 EG43 43x = -82 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:02.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE 43x is 43 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43 43x = -82 strategic 2 ERROR multiply x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:13.0 HINT HINT ES_05 ES_05-1 EG43 43x = -82 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:14.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE 43x is 43 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:18.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 43. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:24.0 CYCLE CYCLE ES_05 ES_05-1 EG43 43x = -82 strategic 4 OK divide 43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:55:55.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 144x+(-5582) = -6058 strategic 1 OK rds 144x+(-5582) = -6058 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:07.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 144x-5582 = -6058 strategic 1 BUG add -5582 To remove -5582 from the left side, you can add a positive to it. Erase your last step and add 5582 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:11.0 HINT HINT ES_05 ES_05-1 EG43A 144x-5582 = -6058 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:11.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE -5582 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5582 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:15.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can add 5582 to both sides of the equation to eliminate the constant value of -5582 (-5582 + 5582 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:20.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 144x-5582 = -6058 strategic 3 OK add 5582 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:27.0 HINT HINT ES_05 ES_05-1 EG43A 144x = -476 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:27.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 3 HINT_LEVEL_CHANGE 144x is 144 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:31.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 144. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:35.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 144x = -476 strategic 2 OK divide 144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:56:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.13+(-10.94y) = 4.67 strategic 1 OK rds 6.13+(-10.94y) = 4.67 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:57:48.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.13-10.94y = 4.67 strategic 1 ERROR add 10.94 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:58:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.13-10.94y = 4.67 strategic 2 BUG subtract 4.67 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:58:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.13-10.94y = 4.67 strategic 3 OK subtract 6.13 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:58:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -10.94y = -1.46 strategic 1 OK divide -10.94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:58:56.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -9.9y+(-10.47) = 0.02 strategic 1 OK rds -9.9y+(-10.47) = 0.02 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:10.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -9.9y-10.47 = 0.02 strategic 1 ERROR subtract -9.9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:20.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -9.9y-10.47 = 0.02 strategic 2 BUG add -10.47 To remove -10.47 from the left side, you can add a positive to it. Erase your last step and add 10.47 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:42.0 HINT HINT ES_05 ES_05-1 EG42A -9.9y-10.47 = 0.02 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:43.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 1 HINT_LEVEL_CHANGE -10.47 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -10.47 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:46.0 HINT HINT ES_05 ES_05-1 EG42A null strategic 2 HINT_LEVEL_CHANGE You can add 10.47 to both sides of the equation to eliminate the constant value of -10.47 (-10.47 + 10.47 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 13:59:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -9.9y-10.47 = 0.02 strategic 4 OK add 10.47 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:00:00.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -9.9y = 10.49 strategic 1 OK divide -9.9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:00:06.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6700x+(-2739) = -9613 strategic 1 OK rds 6700x+(-2739) = -9613 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:00:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6700x-2739 = -9613 strategic 1 OK add 2739 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:00:45.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6700x = -6874 strategic 1 OK divide 6700 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:01.0 CYCLE CYCLE ES_05 ES_05-1 EG42 60+(-55.64x) = -38.18 strategic 1 OK rds 60+(-55.64x) = -38.18 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:28.0 CYCLE CYCLE ES_05 ES_05-1 EG42 60-55.64x = -38.18 strategic 1 ERROR subtract 55.64 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:34.0 HINT HINT ES_05 ES_05-1 EG42 60-55.64x = -38.18 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:35.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE 60 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 60 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:38.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE You can subtract 60 from both sides of the equation to eliminate the constant value of 60 (60 - 60 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42 60-55.64x = -38.18 strategic 3 OK subtract 60 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:01:48.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -55.64x = -98.18 strategic 1 OK divide -55.64 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:00.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -7959 = -6658x+5897 strategic 1 ERROR add 6658 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:05.0 HINT HINT ES_05 ES_05-1 EG43A -7959 = -6658x+5897 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:06.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE 5897 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5897 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:09.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE You can subtract 5897 from both sides of the equation to eliminate the constant value of 5897 (5897 - 5897 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -7959 = -6658x+5897 strategic 3 OK subtract 5897 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:26.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -13856 = -6658x strategic 1 BUG divide -13856 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:33.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -13856 = -6658x strategic 2 OK divide -6658 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:02:52.0 CYCLE CYCLE ES_05 ES_05-1 EG42 48.04+3.11x = 52.66 strategic 1 ERROR add 3.11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:05.0 CYCLE CYCLE ES_05 ES_05-1 EG42 48.04+3.11x = 52.66 strategic 2 BUG add 48.04 Since 48.04 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 48.04 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:09.0 HINT HINT ES_05 ES_05-1 EG42 48.04+3.11x = 52.66 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:10.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE 48.04 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 48.04 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:14.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE You can subtract 48.04 from both sides of the equation to eliminate the constant value of 48.04 (48.04 - 48.04 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:20.0 CYCLE CYCLE ES_05 ES_05-1 EG42 48.04+3.11x = 52.66 strategic 4 OK subtract 48.04 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:26.0 CYCLE CYCLE ES_05 ES_05-1 EG42 3.11x = 4.62 strategic 1 OK divide 3.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:43.0 CYCLE CYCLE ES_05 ES_05-1 EG43 76 = -33y+(-54) strategic 1 ERROR add -33 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:48.0 CYCLE CYCLE ES_05 ES_05-1 EG43 76 = -33y+(-54) strategic 2 ERROR subtract -33 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:54.0 HINT HINT ES_05 ES_05-1 EG43 76 = -33y+(-54) strategic 3 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:54.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:03:57.0 CYCLE CYCLE ES_05 ES_05-1 EG43 76 = -33y+(-54) strategic 4 OK rds 76 = -33y+(-54) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:04:38.0 CYCLE CYCLE ES_05 ES_05-1 EG43 76 = -33y-54 strategic 1 OK add 54 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:04:59.0 CYCLE CYCLE ES_05 ES_05-1 EG43 130 = -33y strategic 1 OK divide -33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:05:29.0 CYCLE CYCLE ES_05 ES_05-1 EG42 15.31 = -58.19+76.07y strategic 1 OK subtract -58.19 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:05:57.0 CYCLE CYCLE ES_05 ES_05-1 EG42 73.5 = 76.07y strategic 1 OK divide 76.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:06:14.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5287+(-8969y) = 6787 strategic 1 OK rds 5287+(-8969y) = 6787 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:07:01.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 5287-8969y = 6787 strategic 1 OK subtract 5287 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:07:31.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -8969y = 1500 strategic 1 OK divide -8969 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:08:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -5.29+(-68.71x) = -41.22 strategic 1 OK rds -5.29+(-68.71x) = -41.22 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:09:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -5.29-68.71x = -41.22 strategic 1 OK add 5.29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:10:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -5.29-68.71x+5.29 = -41.22+5.29 left 1 OK left -68.71x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:10:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -68.71x = -41.22+5.29 right 1 OK right -35.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:11:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -68.71x = -35.93 strategic 1 OK divide -68.71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:11:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -68.71x/-68.71 = -35.93/-68.71 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:12:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42 x = -35.93/-68.71 right 1 OK right .5229 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:12:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1562 = 1535x+(-2922) strategic 1 OK rds 1562 = 1535x+(-2922) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:14:32.0 HINT HINT ES_05 ES_05-2 EG43A 1562 = 1535x-2922 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:14:33.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 1 HINT_LEVEL_CHANGE -2922 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2922 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:14:36.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 2 HINT_LEVEL_CHANGE You can add 2922 to both sides of the equation to eliminate the constant value of -2922 (-2922 + 2922 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:14:45.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1562 = 1535x-2922 strategic 2 OK add 2922 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:14:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1562+2922 = 1535x-2922+2922 right 1 OK right 1535x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:15:11.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 1562+2922 = 1535x left 1 OK left 4484 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:15:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4484 = 1535x strategic 1 OK divide 1535 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:15:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4484/1535 = 1535x/1535 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 4484/1535 = x left 1 OK left 2.921 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:26.0 HINT HINT ES_05 ES_05-2 EG43 41 = -31y+29 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:26.0 HINT HINT ES_05 ES_05-2 EG43 null strategic 1 HINT_LEVEL_CHANGE 29 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 29 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:30.0 HINT HINT ES_05 ES_05-2 EG43 null strategic 2 HINT_LEVEL_CHANGE You can subtract 29 from both sides of the equation to eliminate the constant value of 29 (29 - 29 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:36.0 CYCLE CYCLE ES_05 ES_05-2 EG43 41 = -31y+29 strategic 2 OK subtract 29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43 41-29 = -31y+29-29 left 1 OK left 12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:16:52.0 CYCLE CYCLE ES_05 ES_05-2 EG43 12 = -31y+29-29 right 1 OK right -31y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:17:03.0 CYCLE CYCLE ES_05 ES_05-2 EG43 12 = -31y strategic 1 OK divide -31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:17:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43 12/-31 = -31y/-31 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:17:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43 12/-31 = y left 1 OK left -.3870 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:17:41.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -536 = -82/y+(-908) strategic 1 OK rds -536 = -82/y+(-908) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:18:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -536 = -82/y-908 strategic 1 OK add 908 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:19:08.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 372 = -82/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:19:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 372y = -82 strategic 1 OK divide 372 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:19:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -39 = -70+(-92/y) strategic 1 OK rds -39 = -70+(-92/y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:20:35.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -39 = -70-92/y strategic 1 BUG add -70 To remove -70 from the right side, you can add a positive to it. Erase your last step and add 70 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:22:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -39 = -70-92/y strategic 2 BUG add -70 To remove -70 from the right side, you can add a positive to it. Erase your last step and add 70 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:22:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -39 = -70+(-92/y) strategic 2 OK subtract -70 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:23:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59 31 = -92/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:23:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 31y = -92 strategic 1 OK divide 31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:23:49.0 CYCLE CYCLE ES_05 ES_05-3 EG59 28+(-48/y) = -29 strategic 1 OK subtract 28 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:23:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -48/y = -57 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session36 2007-04-20 14:24:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -48 = -57y strategic 1 OK divide -57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:20:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y+(-51) = 97 strategic 1 ERROR distribute 39/y+(-51) = 97 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:21:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y+(-51) = 97 strategic 2 OK rds 39/y+(-51) = 97 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:22:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y-51 = 97 strategic 1 OK add 51 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:24:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y-51+51 = 97+51 right 1 OK right 148 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:24:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y-51+51 = 148 left 1 OK left 39/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:24:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y = 148 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:26:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/y*y = 148y left 1 OK left 39 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:26:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39 = 148y right 1 ERROR right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:26:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39 = 148y right 2 OK right 148y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:27:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39 = 148y strategic 1 OK divide 148 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:27:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/148 = 148y/148 left 1 ERROR left .23 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:27:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 39/148 = 148y/148 left 2 OK left .263 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:27:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 0.26351351 = 148y/148 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:27:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 220 = -745+287/x strategic 1 OK add 745 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:28:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 220+745 = -745+287/x+745 left 1 OK left 965 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:28:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965 = -745+287/x+745 right 1 OK right 287/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:28:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965 = 287/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:28:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965x = 287/x*x left 1 OK left 965x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:28:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965x = 287/x*x right 1 OK right 287 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:29:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965x = 287 strategic 1 OK divide 965 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:29:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 965x/965 = 287/965 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:29:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 287/965 right 1 OK right .297 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:29:26.0 HINT HINT ES_05 ES_05-4 EG59A x = 0.29740933 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:29:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 468+999/y = 321 strategic 1 BUG subtract 321 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 468+999/y = 321 strategic 2 OK subtract 468 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 468+999/y-468 = 321-468 right 1 OK right -147 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 468+999/y-468 = -147 left 1 OK left 999/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 999/y = -147 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 999/y*y = -147y left 1 OK left 999 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:30:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 999 = -147y right 1 OK right -147y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:31:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 999 = -147y strategic 1 OK divide -147 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:31:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 999/-147 = -147y/-147 left 1 OK left -6.7959 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:31:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -6.79591837 = -147y/-147 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:31:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+(-6) = -7+(-6y) strategic 1 OK rds 9y+(-6) = -7+(-6y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:34:57.0 HINT HINT ES_05 ES_05-5 EG60 9y-6 = -7-6y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:34:59.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 6y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:35:02.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 6y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:35:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y-6 = -7-6y strategic 2 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:40:55.0 HINT HINT ES_05 ES_05-5 EG60 15y-6 = -7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:40:56.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE -6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:41:00.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:41:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y-6 = -7 strategic 2 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:41:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y = -1 strategic 1 ERROR multiply y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:41:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y = -1 strategic 2 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:42:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+8y = 6y+(-9) strategic 1 OK rds 5+8y = 6y+(-9) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:42:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+8y = 6y-9 strategic 1 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:42:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5 = -2y-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:43:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 14 = -2y strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:43:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4y+6 = -5+(-7y) strategic 1 OK rds 4y+6 = -5+(-7y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:43:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4y+6 = -5-7y strategic 1 OK add 5 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:44:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4y+11 = -7y strategic 1 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:44:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4y+11 = -7y strategic 2 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:44:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11y+11 = 0 strategic 1 ERROR subtract 11y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:44:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11y+11 = 0 strategic 2 OK subtract 11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:46:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 11y = -11 strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:46:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+4y = -9+8y strategic 1 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:47:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4y = -9 strategic 1 BUG divide -9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:48:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4y = -9 strategic 2 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:48:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+1x = 1+(-3x) strategic 1 OK rds -2+1x = 1+(-3x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:49:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+1x = 1-3x strategic 1 BUG subtract 3x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:49:20.0 HINT HINT ES_05 ES_05-5 EG60 -2+1x = 1-3x strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:49:21.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:49:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+1x = 1-3x strategic 3 OK mt 1x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+x = 1-3x strategic 1 OK subtract -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:34.0 HINT HINT ES_05 ES_05-5 EG60 x = 3-3x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:36.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 3x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:39.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 3x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 x = 3-3x strategic 2 OK add 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:50.0 HINT HINT ES_05 ES_05-5 EG60 4x = 3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:51.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE 4x is 4 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:50:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x = 3 strategic 2 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:51:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x = 3 strategic 3 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:51:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x = 3 strategic 4 BUG subtract 4 In 4x, x is multiplied by 4. How do you undo multiplication? BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4x = 3 strategic 5 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5+(-8x) strategic 1 OK rds 9+5x = 5+(-8x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 1 ERROR subtract 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 2 ERROR subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 3 BUG add 9 Since 9 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 9 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:52:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 4 ERROR add -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:32.0 HINT HINT ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:34.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:37.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 5x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+5x = 5-8x strategic 6 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:45.0 HINT HINT ES_05 ES_05-5 EG60 9 = 5-13x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:46.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE 5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:56:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = 5-13x strategic 2 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:57:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4 = -13x strategic 1 OK divide -13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:57:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+(-7y) = -2+(-1y) strategic 1 OK rds 0+(-7y) = -2+(-1y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 13:58:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-7y = -2-1y strategic 1 BUG subtract 1y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:01.0 HINT HINT ES_05 ES_05-5 EG60 0-7y = -2-1y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:02.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-7y = -2-1y strategic 3 OK clt 0-7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:19.0 HINT HINT ES_05 ES_05-5 EG60 -7y = -2-1y strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:19.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y = -2-1y strategic 2 ERROR rf -7y = -2-1y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y = -2-1y strategic 3 OK mt 1y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:32.0 HINT HINT ES_05 ES_05-5 EG60 -7y = -2-y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:33.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:37.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:00:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y = -2-y strategic 2 OK add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:03:36.0 HINT HINT ES_05 ES_05-5 EG60 -6y = -2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:03:38.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 5 HINT_LEVEL_CHANGE -6y is -6 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:03:41.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -6. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:03:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y = -2 strategic 2 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:04:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y+(-9) = -8y+1 strategic 1 OK rds -1y+(-9) = -8y+1 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:06:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1y-9 = -8y+1 strategic 1 OK subtract 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:09:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-10 = -8y strategic 1 ERROR add 10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:09:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-10 = -8y strategic 2 BUG add -10 To remove -10 from the left side, you can add a positive to it. Erase your last step and add 10 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:12:49.0 HINT HINT ES_05 ES_05-5 EG60 -y-10 = -8y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:12:50.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:12:53.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:12:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y-10 = -8y strategic 4 OK add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:13:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = -7y strategic 1 BUG divide -10 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:13:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = -7y strategic 2 BUG divide -7y Dividing anything by itself will leave 1. If you divide -7y by -7, y will be left. Erase your last step and then divide by -7. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:14:02.0 HINT HINT ES_05 ES_05-5 EG60 -10 = -7y strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:14:02.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE -7y is -7 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:14:06.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -7. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:14:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = -7y strategic 4 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:14:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+(-7y) = 7+(-6y) strategic 1 OK rds 5+(-7y) = 7+(-6y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:15:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5-7y = 7-6y strategic 1 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:16:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5-y = 7 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:16:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -y = 2 strategic 1 OK multiply -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:17:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10+(-9y) = 3y+(-5) strategic 1 OK add 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:20:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = 12y-5 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:20:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5 = 12y strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:20:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x+(-1) = -10x+9 strategic 1 OK rds -1x+(-1) = -10x+9 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:21:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x-1 = -10x+9 strategic 1 BUG add -1x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:21:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1x-1 = -10x+9 strategic 2 OK add 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:21:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = -9x+9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session37 2007-04-25 14:21:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10 = -9x strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:20:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7 = -3y+(-4) strategic 1 OK rds -4y+7 = -3y+(-4) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:21:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7 = -3y-4 strategic 1 OK add 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:21:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7+4y = -3y-4+4y left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:21:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 1 ERROR right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:21:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 2 ERROR right -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:22:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 3 ERROR right -5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:22:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 4 ERROR right 5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:23:05.0 HINT HINT ES_05 ES_05-6 EG60 7 = -3y-4+4y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:23:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -3y-4+4y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:23:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 5 ERROR right 37-4+4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:23:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 6 ERROR right 3y-4+4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:23:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 7 OK right -3y-4+4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:24:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7 = -3y-4 strategic 2 OK add 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:24:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7+4y = -3y-4+4y left 2 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:24:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 8 ERROR right -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:25:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 9 ERROR right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:29:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 10 ERROR right 1Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:29:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7 = -3y-4+4y right 11 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:30:36.0 HINT HINT ES_05 ES_05-6 EG60 7 = -3y-4+4y strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:30:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in -3y-4+4y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:32:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7 = -3y-4 strategic 3 ERROR subtract 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:32:51.0 HINT HINT ES_05 ES_05-6 EG60 -4y+7 = -3y-4 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:32:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:32:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 3y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7 = -3y-4 strategic 5 OK add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7+3y = -3y-4+3y left 1 ERROR left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7+3y = -3y-4+3y left 2 ERROR left 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+7+3y = -3y-4+3y left 3 ERROR left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-4+3y = -4y+7+3y left 1 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 1 ERROR right -4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:33:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 2 ERROR right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 3 ERROR right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 4 ERROR right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 5 ERROR right -7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 6 ERROR right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 7 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:42.0 HINT HINT ES_05 ES_05-6 EG60 -4 = -4y+7+3y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:34:43.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -4y+7+3y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:35:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 8 ERROR right 6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session38 2007-05-04 13:35:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 9 ERROR right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session39 2007-05-04 13:54:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 10 ERROR right 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session39 2007-05-04 13:54:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 11 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:16:47.0 HINT HINT ES_05 ES_05-6 EG60 -4 = -4y+7+3y strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:16:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Type in -4y+7+3y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:17:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y right 12 OK right -4y+7+3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:19:46.0 HINT HINT ES_05 ES_05-6 EG60 -4 = -4y+7+3y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:19:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:19:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -4y+7+3y strategic 4 OK clt -4y+7+3y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  4y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 BUG +7 +7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +7, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +3y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 BUG +7 +7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +7, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 5 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 7 BUG  4y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 8 BUG  4y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 9 OK -4y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -1y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 6y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:20:59.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 7 Above, you have [-1y]+[7]. Enter -y+7 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:21:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -y+7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:08.0 HINT HINT ES_05 ES_05-6 EG60 -4 = -y+7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE 7 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = -y+7 strategic 2 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-7 = -y+7-7 left 1 BUG left -1 You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-7 = -y+7-7 left 2 OK left -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11 = -y+7-7 right 1 OK right -y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:46.0 HINT HINT ES_05 ES_05-6 EG60 -11 = -y strategic 1 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:22:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11 = -y strategic 2 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:23:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11/-1 = -y/-1 right 1 OK right y condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:23:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11/-1 = y left 1 OK left 11 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:23:17.0 HINT HINT ES_05 ES_05-6 EG60 11 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session40 2007-05-04 14:23:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:02:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+2y = 2+6y strategic 1 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:02:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+2y-2y = 2+6y-2y left 1 OK left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:02:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 2+6y-2y right 1 ERROR right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 2+6y-2y right 2 ERROR right 6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 2+6y-2y right 3 ERROR right +4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 2+6y-2y right 4 OK right 2+4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2 = 2+4y strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2-2 = 2+4y-2 left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 2+4y-2 right 1 OK right 4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:03:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 4y strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0/4 = 4y/4 left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 4y/4 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y+(-7) = 2y+7 strategic 1 OK rds 1y+(-7) = 2y+7 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7 = 2y+7 strategic 1 OK subtract 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 left 1 ERROR left 7y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:04:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 left 2 BUG left 1y 1y is equal to 1y-7 plus 7. You need to calculate 1y-7 minus 7. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:11.0 HINT HINT ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 1y-7-7 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:16.0 HINT HINT ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:17.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 1y-7-7 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 left 3 OK left 1y-7-7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7-7 = 2y+7-7 right 1 OK right 2y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y-7-7 = 2y strategic 1 OK unnec-elems 1y-7-7=2y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:05:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-7-7 = 2y strategic 1 BUG divide y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-7-7 = 2y strategic 2 BUG divide 7 You want to isolate y by removing -7 from the both side. 7 is subtracted from y. What is the opposite of subtraction? BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:08.0 HINT HINT ES_05 ES_05-6 EG60 (y-7-7)/7 = 2y/7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Do Combine Terms - Whole; [Typein Skill: {Select Combine Terms; Combine like terms, no var}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in (y-7-7)/7 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Divide by 7 on the left side HINT 1 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:15.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in (y-7-7)/7 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:22.0 HINT HINT ES_05 ES_05-6 EG60 y-7-7 = 2y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:25.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-7-7 = 2y strategic 4 OK clt y-7-7 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG  7 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 ERROR 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:06:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 ERROR 7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:09.0 HINT HINT ES_05 ES_05-6 EG60 constant termsR2 strategic 3 INITIAL_HINT 7 Simplify the expression [-7]+[-7]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:15.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Adding [-7]+[-7] yields -14. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 4 OK -14 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:26.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 1 INITIAL_HINT Above, you have [y]+[-14]. Enter y-14 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -14y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 14y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:40.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT y Above, you have [y]+[-14]. Enter y-14 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK y-14 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:58.0 HINT HINT ES_05 ES_05-6 EG60 y-14 = 2y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:07:59.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Move 2y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE Subtract 2y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14 = 2y strategic 2 ERROR subtract 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14 = 2y strategic 3 ERROR subtract -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:18.0 HINT HINT ES_05 ES_05-6 EG60 y-14 = 2y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE Move 2y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14 = 2y strategic 5 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 2y-2y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 2y-2y right 2 ERROR right 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 2y-2y right 3 BUG right 2y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 2y-2y right 4 OK right 0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 1 ERROR left 14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 2 ERROR left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:53.0 HINT HINT ES_05 ES_05-6 EG60 y-14-2y = 0y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:08:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE Type in y-14-2y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 3 ERROR left 12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:09:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 4 ERROR left -12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:09:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 5 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:09:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 6 ERROR left -2h condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:09:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 7 ERROR left -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:10:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 8 ERROR left -14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:10:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 9 BUG left y-14 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:16:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y left 1 OK left y-14-2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y strategic 1 ERROR distribute y-14-2y = 0y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:04.0 HINT HINT ES_05 ES_05-6 EG60 y-14-2y = 0y strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0y strategic 3 OK mt 0y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK y condition 1 perform-mult-row2-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR y condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 0 condition 1 perform-mult-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:27.0 HINT HINT ES_05 ES_05-6 EG60 y-14-2y = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-14-2y = 0 strategic 2 OK clt y-14-2y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 BUG  14  14
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  14, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 3 BUG -14 -14
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -14, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 4 OK -2y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  14 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:17:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -14 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR 27 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 ERROR 2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:26.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 5 INITIAL_HINT y In the group above, y and -2y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:30.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE The coefficients in [y]+[-2y] are 1 and -2. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Combining the like terms y and -2y results in -y HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:18:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -14 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 6 ERROR -2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 ERROR 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 8 ERROR 1y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:26.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 9 INITIAL_HINT 1y Combining the like terms y and -2y results in -y HINT 3 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 10 OK -1y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR -15y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR 15y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR -13y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:19:55.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 6 INITIAL_HINT -13y Above, you have [-1y]+[-14]. Enter -y-14 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR y15 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:20:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 ERROR -y14 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 ERROR -y13 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:00.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 10 INITIAL_HINT -y13 Above, you have [-1y]+[-14]. Enter -y-14 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK -y-14 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:21.0 HINT HINT ES_05 ES_05-6 EG60 -y-14 = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:23.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE -14 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -14 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE You can add 14 to both sides of the equation to eliminate the constant value of -14 (-14 + 14 = 0). HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:21:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14 = 0 strategic 2 OK add 14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 0+14 left 1 ERROR left y-28 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:04.0 HINT HINT ES_05 ES_05-6 EG60 -y-14+14 = 0+14 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Type in -y-14+14 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 0+14 left 2 ERROR left 14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 0+14 left 3 ERROR left -14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 0+14 right 1 OK right 14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:22:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 14 left 1 ERROR left -y+14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 14 left 2 BUG left -y+-14 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:15.0 HINT HINT ES_05 ES_05-6 EG60 -y-14+14 = 14 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Type in -y-14+14 on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 14 left 3 OK left -y-14+14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:29.0 HINT HINT ES_05 ES_05-6 EG60 -y-14+14 = 14 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 9 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y-14+14 = 14 strategic 3 OK clt -y-14+14 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 BUG -14 -14
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -14, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK -y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -14 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +14 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 11 OK -y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:23:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 12 OK -y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:02.0 HINT HINT ES_05 ES_05-6 EG60 -y = 14 strategic 1 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 10 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y = 14 strategic 2 BUG divide -y Dividing anything by itself will leave 1. If you divide -y by -1, y will be left. Erase your last step and then divide by -1. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y = 14 strategic 3 ERROR divide y condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:21.0 HINT HINT ES_05 ES_05-6 EG60 -y = 14 strategic 4 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:22.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 11 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 12 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y = 14 strategic 5 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y/-1 = 14/-1 right 1 ERROR right 13 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y/-1 = 14/-1 right 2 BUG right 14 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y/-1 = 14/-1 right 3 OK right -14 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -y/-1 = -14 left 1 OK left y condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:24:57.0 HINT HINT ES_05 ES_05-6 EG60 y = -14 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:25:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-7y) = 1y+2 strategic 1 OK rds -4+(-7y) = 1y+2 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:26:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-7y) = 1y+2 strategic 2 OK subtract -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:26:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-7y)-(-4) = 1y+2-(-4) left 1 OK left -7y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:26:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = 1y+2-(-4) right 1 BUG right 1y+2 You haven't performed any operations. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:26:47.0 HINT HINT ES_05 ES_05-6 EG60 -7y = 1y+2-(-4) strategic 1 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:26:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 1y+2-(-4) on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = 1y+2-(-4) right 2 ERROR right 1y+2- -14 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = 1y+2-(-4) right 3 ERROR right 1y+2-(-14) condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = 1y+2-(-4) right 4 OK right 1y+2-(-4) condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = 1y+2+4 strategic 1 OK unnec-elems -7y=1y+2+4 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:49.0 HINT HINT ES_05 ES_05-6 EG60 -7y = y+2+4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = y+2+4 strategic 2 OK clt y+2+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:27:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR y6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 6y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:26.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT y Above, you have [y]+[6]. Enter y+6 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR 6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 ERROR y6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK y+6 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:43.0 HINT HINT ES_05 ES_05-6 EG60 -7y = y+6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:44.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:28:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = y+6 strategic 2 OK subtract y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y right 2 ERROR right -y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:05.0 HINT HINT ES_05 ES_05-6 EG60 -7y-y = y+6-y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -7y-y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y right 3 BUG right y+6 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:29:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y right 4 BUG right 6y 6y is equal to 7y minus y. You need to calculate -7y minus y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 1 BUG left -7y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 2 ERROR left 7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 3 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 4 ERROR left -y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 5 BUG left -6y -6y is equal to -7y plus y. You need to calculate -7y minus y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y-y = y+6-y left 6 OK left -8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:30:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y = y+6-y right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:31:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y = 6 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:31:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y/-8 = 6/-8 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:31:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 6/-8 right 1 BUG right .75 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:31:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 6/-8 right 2 OK right -.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:32:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x) = -10+2x strategic 1 OK rds -5+(-1x) = -10+2x strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-1x = -10+2x strategic 1 BUG subtract -1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-1x = -10+2x strategic 2 BUG subtract 1x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-1x = -10+2x strategic 3 OK subtract -1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-1x-(-1x) = -10+2x-(-1x) left 1 ERROR left -5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:40.0 HINT HINT ES_05 ES_05-6 EG60 -5-1x-(-1x) = -10+2x-(-1x) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:34:41.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -5-1x-(-1x) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:35:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-1x-(-1x) = -10+2x-(-1x) left 2 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:35:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x) = -10+2x strategic 2 OK subtract -10 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:35:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = -10+2x-(-10) right 1 OK right 2x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:36:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = 2x left 1 ERROR left -15 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:36:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = 2x left 2 BUG left -15+-1x -15+[-1x] is equal to -5+[-1x] plus -10. You need to calculate -5+[-1x] minus -10. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:36:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = 2x left 3 BUG left -1x+-15 -1x+[-15] is equal to -5+[-1x] plus -10. You need to calculate -5+[-1x] minus -10. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:36:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = 2x left 4 ERROR left (-1x)--15 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:36:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-10) = 2x left 5 BUG left (-1x)-15 (-1x)-15 is equal to -5+[-1x] plus -10. You need to calculate -5+[-1x] minus -10. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:37:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x) = -10+2x strategic 3 OK subtract -5 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:37:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-5) = -10+2x-(-5) left 1 OK left -1x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:37:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x = -10+2x-(-5) right 1 BUG right -15+2x -15+2x is equal to -10+2x plus -5. You need to calculate -10+2x minus -5. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:38:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x) = -10+2x strategic 4 OK subtract -1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:38:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-1x)-(-1x) = -10+2x-(-1x) left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:38:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -10+2x-(-1x) right 1 OK right -10+3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:38:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -10+3x strategic 1 OK subtract -10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:39:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-(-10) = -10+3x-(-10) left 1 OK left 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:39:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -10+3x-(-10) right 1 OK right 3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:39:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = 3x strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:39:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5/3 = 3x/3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5/3 = x left 1 OK left 1.666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+4x = -1x+8 strategic 1 OK subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+4x-4x = -1x+8-4x left 1 OK left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -1x+8-4x right 1 ERROR right -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -1x+8-4x right 2 OK right -5x+8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -5x+8 strategic 1 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-8 = -5x+8-8 left 1 BUG left -5 -5 is equal to 3 minus 8. You need to calculate -3 minus 8. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:40:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-8 = -5x+8-8 left 2 OK left -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11 = -5x+8-8 right 1 OK right -5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11 = -5x strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11/-5 = -5x/-5 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11/-5 = x left 1 OK left 2.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+(-4x) = 6x+(-6) strategic 1 OK rds -6+(-4x) = 6x+(-6) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:41:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-4x = 6x-6 strategic 1 ERROR subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-4x = 6x-6 strategic 2 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-4x = 6x-6 strategic 3 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-4x+4x = 6x-6+4x left 1 ERROR left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-4x+4x = 6x-6+4x left 2 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = 6x-6+4x right 1 OK right 10x+-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = 10x+(-6) strategic 1 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:42:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-(-6) = 10x+(-6)-(-6) left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x+(-6)-(-6) right 1 OK right 10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0/10 = 10x/10 left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10x/10 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+(-1) = 2y+1 strategic 1 OK rds -5y+(-1) = 2y+1 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:43:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y-1 = 2y+1 strategic 1 OK add -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:44:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y-1+(-1) = 2y+1+(-1) left 1 BUG left -5y -5y is equal to -5y-1 minus -1. You need to calculate -5y-1 plus -1. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:44:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y-1 = 2y+1 strategic 2 OK subtract -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:44:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y-1-(-1) = 2y+1-(-1) left 1 BUG left -5 You forgot the y. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+(-1) = 2y+1 strategic 2 OK subtract -5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+(-1)-(-5y) = 2y+1-(-5y) left 1 OK left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 1 ERROR right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 2 BUG right -3y+1 -3y+1 is equal to 2y+1 plus -5y. You need to calculate 2y+1 minus -5y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 3 ERROR right -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 4 ERROR right 8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:45:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 5 ERROR right 8y+1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:46:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 6 ERROR right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:46:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 7 ERROR right 3y+1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:46:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 8 ERROR right -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:46:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y+1-(-5y) right 9 OK right 7y+1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 7y+1 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1-1 = 7y+1-1 left 1 BUG left 0 0 is equal to -1 plus 1. You need to calculate -1 minus 1. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1-1 = 7y+1-1 left 2 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 7y+1-1 right 1 OK right 7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2 = 7y strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/7 = 7y/7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:47:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2/7 = y left 1 OK left -2/7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:48:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+5y = 8y+9 strategic 1 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:48:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+5y-5y = 8y+9-5y left 1 OK left 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:48:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = 8y+9-5y right 1 OK right 3y+9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:48:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = 3y+9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5-9 = 3y+9-9 left 1 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 3y+9-9 right 1 OK right 3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 3y strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/3 = 3y/3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/3 = y left 1 BUG left 1.333 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:49:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/3 = y left 2 OK left -1.333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:51:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.83x+(-0.98) = 7.7+(-2.93x) strategic 1 OK subtract -0.98 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:52:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.83x = 8.68-2.93x strategic 1 OK subtract -2.93x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:52:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.9x = 8.68 strategic 1 OK divide -2.9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:52:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.05x+(-0.17) = -3.36x+(-1.32) strategic 1 OK subtract -0.17 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:52:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.05x = -3.36x-1.15 strategic 1 OK subtract -3.36x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:53:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.31x = -1.15 strategic 1 OK divide 2.31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:53:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.34+6.55x = -4.76+(-0.39x) strategic 1 OK subtract 2.34 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:53:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.55x = -7.1-0.39x strategic 1 ERROR subtract -7.1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:53:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.55x = -7.1-0.39x strategic 2 OK subtract -0.39x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:54:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.94x = -7.1 strategic 1 OK divide 6.94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:54:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.51+(-0.92y) = 9.15y+(-8.02) strategic 1 OK subtract -5.51 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:54:36.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.92y = 9.15y-2.51 strategic 1 OK subtract 9.15y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:54:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.07y = -2.51 strategic 1 ERROR divide -10.0 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:54:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.07y = -2.51 strategic 2 OK divide -10.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:55:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.75x+(-6.68) = -7.96+0.59x strategic 1 OK subtract -6.68 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:55:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.75x = -1.28+0.59x strategic 1 ERROR subtract -1.28 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:55:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.75x = -1.28+0.59x strategic 2 OK subtract 0.59x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:55:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.16x = -1.28 strategic 1 OK divide 8.16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.21x+(-9.01) = -2.41x+0.7 strategic 1 OK subtract -9.01 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.21x = -2.41x+9.71 strategic 1 OK subtract -2.41x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.62x = 9.71 strategic 1 OK divide 11.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.66+(-8.43x) = 9.33+2.14x strategic 1 OK subtract -2.66 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.43x = 11.99+2.14x strategic 1 ERROR subtract 2.14 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:56:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.43x = 11.99+2.14x strategic 2 OK subtract 2.14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.57x = 11.99 strategic 1 OK divide -10.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.93y+(-1.26) = 0.35y+2.38 strategic 1 OK subtract -1.26 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.93y = 0.35y+3.64 strategic 1 OK subtract .35y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.28y = 3.64 strategic 1 OK divide -1.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.34x+(-2.25) = -7.28x+(-6.89) strategic 1 ERROR subtract .34 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:57:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.34x+(-2.25) = -7.28x+(-6.89) strategic 2 OK subtract -2.25 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:58:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.34x = -7.28x-4.64 strategic 1 OK subtract -7.28x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session42 2007-05-09 12:58:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.62x = -4.64 strategic 1 OK divide 7.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 1 ERROR subtract 5.67 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:30.0 HINT HINT ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:31.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 3 OK rds -5.67y+9.6 = 3.67+(-0.28y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:39.0 HINT HINT ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67-0.28y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:41.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Move -5.67y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:45.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Add 5.67y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:28:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67-0.28y strategic 2 OK add 5.67y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:29:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y right 1 ERROR right 0.28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:30:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 1 ERROR left 5.67y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:30:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67-0.28y strategic 3 OK add 5.67y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:45:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 2 ERROR left 9.6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:48:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67-0.28y strategic 4 OK add 5.67y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:49:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 3 ERROR left 9.6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:49:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 4 ERROR left -9.6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:50:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 5 ERROR left 20.94y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:50:30.0 HINT HINT ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:50:31.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Type in -5.67y+9.6+5.67y on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:51:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67-0.28y+5.67y left 6 OK left 9.6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:51:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 1 ERROR right .28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:51:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 2 ERROR right 3.67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:51:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 3 ERROR right 9.06 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:52:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 4 ERROR right 9.06Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:52:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 5 ERROR right -9.06y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:52:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 6 ERROR right 0.28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:53:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 7 ERROR right 9.06 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:54:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 8 ERROR right .28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 13:54:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 9 ERROR right -.28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:02:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 10 ERROR right 5.67y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:02:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 11 ERROR right 3.67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:03:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67-0.28y+5.67y right 12 BUG right 3.67-5.95y 3.67-5.95y is equal to 3.67-0.28y minus 5.67y. You need to calculate 3.67-0.28y plus 5.67y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:03:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 4 ERROR add -5.67 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:03:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 5 ERROR add 5.67 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:03:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6 = 3.67+(-0.28y) strategic 6 OK add 5.67y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:04:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.67y+9.6+5.67y = 3.67+(-0.28y)+5.67y left 1 OK left 9.6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:04:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67+(-0.28y)+5.67y right 1 OK right 3.67+5.39y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:04:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6 = 3.67+5.39y strategic 1 OK subtract 3.67 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:05:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.6-3.67 = 3.67+5.39y-3.67 left 1 OK left 5.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:05:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.93 = 3.67+5.39y-3.67 right 1 OK right 5.39y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:05:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.93 = 5.39y strategic 1 OK divide 5.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:05:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.93/5.39 = 5.39y/5.39 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:05:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.93/5.39 = y left 1 OK left 1.100185529 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:06:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62+1.03y = 7.06+(-2.42y) strategic 1 OK subtract 1.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:06:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62+1.03y-1.03y = 7.06+(-2.42y)-1.03y left 1 OK left 5.62 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:06:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-2.42y)-1.03y right 1 ERROR right 7.06+(-3.43y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:06:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-2.42y)-1.03y right 2 ERROR right 7.06+-3.43y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:08:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-2.42y)-1.03y right 3 ERROR right 7.06+2.4926y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:09:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-2.42y)-1.03y right 4 ERROR right 7.06+-3.45 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:09:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-2.42y)-1.03y right 5 OK right 7.06+-3.45y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:09:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62 = 7.06+(-3.45y) strategic 1 OK subtract 7.06 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:09:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62-7.06 = 7.06+(-3.45y)-7.06 right 1 OK right -3.45y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:09:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.62-7.06 = -3.45y left 1 OK left -1.44 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:10:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.44 = -3.45y strategic 1 OK divide -3.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:10:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.44/-3.45 = -3.45y/-3.45 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:10:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.44/-3.45 = y left 1 OK left 0.417391304 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:11:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.78x+1.69 = 5.63+5.21x strategic 1 OK subtract 9.78x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:11:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.78x+1.69-9.78x = 5.63+5.21x-9.78x left 1 OK left 1.69 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:11:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.69 = 5.63+5.21x-9.78x right 1 OK right 5.63+-4.57x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:12:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.69 = 5.63+(-4.57x) strategic 1 OK subtract 5.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:12:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.69-5.63 = 5.63+(-4.57x)-5.63 right 1 OK right -4.57x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:12:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.69-5.63 = -4.57x left 1 OK left -3.94 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:13:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.94 = -4.57x strategic 1 OK divide -4.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:13:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.94/-4.57 = -4.57x/-4.57 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:13:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.94/-4.57 = x left 1 OK left 0.86214442 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:14:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7 = 7.23x+(-1.49) strategic 1 OK subtract 2.7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:14:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7-2.7 = 7.23x+(-1.49)-2.7 left 1 ERROR left 0 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:14:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7-2.7 = 7.23x+(-1.49)-2.7 left 2 ERROR left 0.67x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:15:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7 = 7.23x+(-1.49) strategic 2 ERROR subtract 0.67x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:15:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7 = 7.23x+(-1.49) strategic 3 OK subtract 2.7 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:15:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x+2.7-2.7 = 7.23x+(-1.49)-2.7 left 3 OK left 0.61x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:16:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 1 ERROR right -1.49+9.93x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:16:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 2 ERROR right -1.49+-9.93 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:16:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 3 ERROR right x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:16:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 4 ERROR right 7.23+-9.93x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:17:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 5 ERROR right -1.49+4.53x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:18:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-1.49)-2.7 right 6 OK right 7.23x+-4.19 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:19:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x = 7.23x+(-4.19) strategic 1 OK subtract 7.23x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:19:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x-7.23x = 7.23x+(-4.19)-7.23x left 1 ERROR left -6.56x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:19:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x-7.23x = 7.23x+(-4.19)-7.23x left 2 BUG left 6.62x You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:20:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.61x-7.23x = 7.23x+(-4.19)-7.23x left 3 OK left -6.62x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:20:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.62x = 7.23x+(-4.19)-7.23x right 1 OK right -4.19 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:20:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.62x = -4.19 strategic 1 OK divide -6.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:20:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.62x/-6.62 = -4.19/-6.62 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:21:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -4.19/-6.62 right 1 OK right 0.632930513 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:22:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.73x+(-8.53) = -8.71+(-2.8x) strategic 1 BUG add -8.53 To remove -8.53 from the left side, you can add a positive to it. Erase your last step and add 8.53 to both sides. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:22:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.73x+(-8.53) = -8.71+(-2.8x) strategic 2 OK subtract -9.73x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:22:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.73x+(-8.53)-(-9.73x) = -8.71+(-2.8x)-(-9.73x) left 1 OK left -8.53 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:23:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.73x+(-8.53) = -8.71+(-2.8x) strategic 3 OK subtract -9.73x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:23:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.73x+(-8.53)-(-9.73x) = -8.71+(-2.8x)-(-9.73x) left 2 OK left -8.53 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:24:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.53 = -8.71+(-2.8x)-(-9.73x) right 1 ERROR right -8.71+6.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:24:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.53 = -8.71+(-2.8x)-(-9.73x) right 2 OK right -8.71+6.93x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:25:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.53 = -8.71+6.93x strategic 1 OK subtract -8.71 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:25:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.53-(-8.71) = -8.71+6.93x-(-8.71) right 1 OK right 6.93x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:26:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.53-(-8.71) = 6.93x left 1 OK left 0.18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:26:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.18 = 6.93x strategic 1 OK divide 6.93 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:26:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.18/6.93 = 6.93x/6.93 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:26:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.18/6.93 = x left 1 OK left 0.025974025 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:27:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.3+(-2.04x) = 0.7+2.37x strategic 1 ERROR subtract 2.04x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:27:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.3+(-2.04x) = 0.7+2.37x strategic 2 OK subtract 4.3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:27:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.3+(-2.04x)-4.3 = 0.7+2.37x-4.3 left 1 OK left -2.04x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.04x = 0.7+2.37x-4.3 right 1 OK right 2.37x+-3.6 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.04x = 2.37x+(-3.6) strategic 1 OK subtract 2.37x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.04x-2.37x = 2.37x+(-3.6)-2.37x right 1 OK right -3.6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -2.04x-2.37x = -3.6 left 1 OK left -4.41x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.41x = -3.6 strategic 1 OK divide -4.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:28:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.41x/-4.41 = -3.6/-4.41 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session43 2007-05-23 14:29:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -3.6/-4.41 right 1 OK right 0.81632 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:10:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -7.17x+(-84.25) = -78.62+33.86x strategic 1 ERROR subtract 7.17 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:10:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -7.17x+(-84.25) = -78.62+33.86x strategic 2 ERROR subtract 7.17x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:10:33.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -7.17x+(-84.25) = -78.62+33.86x strategic 3 OK add 7.17x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -84.25 = -78.62+41.03x strategic 1 BUG subtract -84.25 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:18.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -84.25 = -78.62+41.03x strategic 2 ERROR subtract 41.03 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:27.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -84.25 = -78.62+41.03x strategic 3 ERROR subtract 41.03x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:32.0 HINT HINT ES_05 ES_05-9 EG62 -84.25 = -78.62+41.03x strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:39.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 1 HINT_LEVEL_CHANGE -78.62 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -78.62 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:12:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -84.25 = -78.62+41.03x strategic 5 OK subtract -78.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:13:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -5.63 = 41.03x strategic 1 BUG divide 41.03x Dividing anything by itself will leave 1. If you divide 41.03x by 41.03, x will be left. Erase your last step and then divide by 41.03. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:13:25.0 HINT HINT ES_05 ES_05-9 EG62 -5.63 = 41.03x strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:13:27.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 2 HINT_LEVEL_CHANGE 41.03x is 41.03 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:13:33.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 3 HINT_LEVEL_CHANGE Divide both sides by 41.03. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:13:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -5.63 = 41.03x strategic 3 OK divide 41.03 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:14:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 507.2y+(-2843.57) = 4136.45+(-932.97y) strategic 1 OK subtract 507.2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:14:16.0 HINT HINT ES_05 ES_05-9 EG62A -2843.57 = 4136.45-1440.17y strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:14:17.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 1 HINT_LEVEL_CHANGE 4136.45 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4136.45 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:14:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -2843.57 = 4136.45-1440.17y strategic 2 OK subtract 4136.45 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:14:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -6980.02 = -1440.17y strategic 1 OK divide -1440.17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:14.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8697.04+293.66x = -231.74x+(-7096.6) strategic 1 OK subtract 293.66x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8697.04 = -525.4x-7096.6 strategic 1 ERROR subtract -525.4x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8697.04 = -525.4x-7096.6 strategic 2 ERROR subtract -525.4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:43.0 HINT HINT ES_05 ES_05-9 EG62A -8697.04 = -525.4x-7096.6 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:44.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 1 HINT_LEVEL_CHANGE -7096.6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -7096.6 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:15:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8697.04 = -525.4x-7096.6 strategic 4 OK subtract -7096.6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:16:12.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -1600.44 = -525.4x strategic 1 OK divide -525.4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:17:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+208.31x = 83.14x+(-4997.36) strategic 1 OK subtract 208.31x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:19:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+208.31x-208.31x = 83.14x+(-4997.36)-208.31x left 1 ERROR left 3326.22x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:19:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+208.31x-208.31x = 83.14x+(-4997.36)-208.31x left 2 OK left 3326.22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:19:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 1 ERROR right -5122.53x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:20:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 2 ERROR right -5122.53 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:20:05.0 HINT HINT ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:20:11.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Type in 83.14x+(-4997.36)-208.31x on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:20:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 3 ERROR right -5122.53x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:21:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 4 ERROR right -4997.36x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:21:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 5 ERROR right -208.31x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:21:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 6 ERROR right 208.31x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:21:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 7 ERROR right 83.14x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:22:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x+(-4997.36)-208.31x right 8 OK right 83.14x+(-4997.36)-208.31x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:22:55.0 HINT HINT ES_05 ES_05-10 EG62A 3326.22 = 83.14x-4997.36-208.31x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:22:56.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = 83.14x-4997.36-208.31x strategic 2 OK clt 83.14x-4997.36-208.31x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 BUG -4997.36 -4997.36
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4997.36, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 OK 83.14x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 1 BUG -4997.36 -4997.36
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4997.36, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 3 OK -208.31x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 BUG  4997.36 Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK -4997.36 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 OK -125.17x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:23:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -4997.36 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:24:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR -5122.53x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:24:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 ERROR -5122.53 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:24:51.0 HINT HINT ES_05 ES_05-10 EG62A FinalAnswer strategic 3 INITIAL_HINT -5122.53 Above, you have [-125.17x]+[-4997.36]. Enter -125.17x-4997.36 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:25:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 4 ERROR -125.17x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:25:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 5 OK -125.17x-4997.36 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:25:25.0 HINT HINT ES_05 ES_05-10 EG62A 3326.22 = -125.17x-4997.36 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:25:27.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 3 HINT_LEVEL_CHANGE -4997.36 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4997.36 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:27:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22 = -125.17x-4997.36 strategic 2 OK subtract -4997.36 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:28:31.0 HINT HINT ES_05 ES_05-10 EG62A 3326.22-(-4997.36) = -125.17x-4997.36-(-4997.36) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:28:33.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 4 HINT_LEVEL_CHANGE Type in 3326.22-(-4997.36) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:28:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22-(-4997.36) = -125.17x-4997.36-(-4997.36) left 1 BUG left 3326.22-(4997.36) 3326.22-(4997.36) is equal to 3326.22 plus -4997.36. You need to calculate 3326.22 minus -4997.36. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:29:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22-(-4997.36) = -125.17x-4997.36-(-4997.36) left 2 OK left 3326.22-(-4997.36) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:29:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+4997.36 = -125.17x-4997.36-(-4997.36) right 1 ERROR right 4997.36 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:29:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+4997.36 = -125.17x-4997.36-(-4997.36) right 2 OK right -125.17x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:29:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3326.22+4997.36 = -125.17x strategic 1 OK clt 3326.22+4997.36 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:29:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 6 ERROR 8323.44 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:03.0 HINT HINT ES_05 ES_05-10 EG62A FinalAnswer strategic 7 INITIAL_HINT 8323.44 Simplify the expression [3326.22]+[4997.36]. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:04.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 5 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:08.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 6 HINT_LEVEL_CHANGE Adding [3326.22]+[4997.36] yields 8323.58. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 8 OK 8323.58 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 8323.58 = -125.17x strategic 1 OK divide -125.17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:30:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 8323.58/-125.17 = -125.17x/-125.17 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:31:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 8323.58/-125.17 = x left 1 OK left -66.4982 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:31:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x = -80.42x+(-52.08) strategic 1 ERROR subtract 64.05 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:31:59.0 HINT HINT ES_05 ES_05-10 EG62 -64.49+64.05x = -80.42x+(-52.08) strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:31:59.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x = -80.42x+(-52.08) strategic 3 OK rds -64.49+64.05x = -80.42x+(-52.08) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:05.0 HINT HINT ES_05 ES_05-10 EG62 -64.49+64.05x = -80.42x-52.08 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:07.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 2 HINT_LEVEL_CHANGE Move 80.42x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:10.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 3 HINT_LEVEL_CHANGE Add 80.42x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x = -80.42x-52.08 strategic 2 OK add 80.42x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -80.42x-52.08+80.42x right 1 BUG right 52.08 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:32:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -80.42x-52.08+80.42x right 2 OK right -52.08 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:33:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 1 ERROR left 79.98x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:34:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 2 ERROR left 79.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:34:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 3 ERROR left 80.42x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:34:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 4 ERROR left -80.42x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:35:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 5 ERROR left 64.05x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 left 6 OK left -64.49+64.05x+80.42x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:36.0 HINT HINT ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:37.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -64.49+64.05x+80.42x = -52.08 strategic 2 OK clt -64.49+64.05x+80.42x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 BUG -64.49 -64.49
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -64.49, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:39:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 1 OK +80.42x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 2 BUG -64.49 -64.49
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -64.49, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 3 OK +64.05x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -64.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 ERROR 144.7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 2 ERROR 144.47 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 3 OK 144.47x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -64.49 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:40:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 ERROR 144.47+-64.49 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:41:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 ERROR 144.47+-(64.49) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:41:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 3 OK 144.47x+-(64.49) condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:41:16.0 HINT HINT ES_05 ES_05-10 EG62 144.47x-64.49 = -52.08 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:41:17.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 5 HINT_LEVEL_CHANGE -64.49 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -64.49 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:41:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x-64.49 = -52.08 strategic 2 OK subtract -64.49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:42:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x-64.49-(-64.49) = -52.08-(-64.49) left 1 BUG left 144.47 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:42:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x-64.49-(-64.49) = -52.08-(-64.49) left 2 OK left 144.47x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:42:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x = -52.08-(-64.49) right 1 OK right 12.41 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:42:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x = 12.41 strategic 1 OK divide 144.47 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:42:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62 144.47x/144.47 = 12.41/144.47 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:43:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = 12.41/144.47 right 1 OK right .0859 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:43:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y+(-26.6) = 50.05y+18.44 strategic 1 OK rds -19.94y+(-26.6) = 50.05y+18.44 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:43:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6 = 50.05y+18.44 strategic 1 ERROR subtract 50.05 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:43:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6 = 50.05y+18.44 strategic 2 ERROR add 19.94 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:43:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6 = 50.05y+18.44 strategic 3 OK add 19.94y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:44:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y right 1 ERROR right 50.05y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:44:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y right 2 ERROR right 19.94y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:44:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y right 3 ERROR right 88.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:44:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y right 4 ERROR right 88.43x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:44:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y right 5 OK right 50.05y+18.44+19.94y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y left 1 ERROR left -26.6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.94y-26.6+19.94y = 50.05y+18.44+19.94y left 2 OK left -26.6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -26.6 = 50.05y+18.44+19.94y strategic 1 OK clt 50.05y+18.44+19.94y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y2R1 strategic 1 OK +19.94y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 BUG +18.44 +18.44
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +18.44, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 3 BUG +18.44 +18.44
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +18.44, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:45:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 4 OK 50.05y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK +18.44 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK 69.99y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK 18.44 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 69.99y+18.44 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:40.0 HINT HINT ES_05 ES_05-10 EG62 -26.6 = 69.99y+18.44 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:41.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 1 HINT_LEVEL_CHANGE 18.44 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 18.44 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:46:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -26.6 = 69.99y+18.44 strategic 2 OK subtract 18.44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:47:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -26.6-18.44 = 69.99y+18.44-18.44 left 1 OK left -45.04 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:47:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04 = 69.99y+18.44-18.44 right 1 OK right 69.99y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:47:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04 = 69.99y strategic 1 OK divide 69.99 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:47:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04/69.99 = 69.99y/69.99 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:47:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04/69.99 = y left 1 BUG left .64352 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:48:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04/69.99 = y left 2 BUG left .6435 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:48:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04/69.99 = y left 3 BUG left 0.6435 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:48:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -45.04/69.99 = y left 4 OK left -0.6435 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:49:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y = 2951.96+623.06y strategic 1 ERROR subtract 623.06 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:49:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y = 2951.96+623.06y strategic 2 OK subtract 623.06y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:49:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y right 1 ERROR right 623.06y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:50:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y left 1 ERROR left -3528.59y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:50:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y left 2 ERROR left -3528.59 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:50:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y left 3 ERROR left 33528.59 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:51:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y left 4 OK left -3036.39+130.86y-623.06y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:52:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y right 2 ERROR right -1705.84 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:52:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y right 3 ERROR right -1705.84y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:07.0 HINT HINT ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:11.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Type in 2951.96+623.06y-623.06y on the right. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y right 4 OK right 2951.96+623.06y-623.06y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3036.39+130.86y-623.06y = 2951.96+623.06y-623.06y strategic 2 OK clt -3036.39+130.86y-623.06y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 BUG -3036.39 -3036.39
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -3036.39, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 3 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 4 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 5 OK +130.86y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 OK -623.06y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:53:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -3036.39 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK -492.2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -3036.39 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -492.2y+-3036.39 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39 = 2951.96+623.06y-623.06y strategic 1 OK clt 2951.96+623.06y-623.06y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 6 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 7 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 8 BUG 2951.96 2951.96
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 2951.96, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 9 OK +623.06y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 2 OK -623.06y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:54:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK 2951.96 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:55:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:55:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK 2951.96 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:55:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 2951.96 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:56:05.0 HINT HINT ES_05 ES_05-10 EG62A -492.2y-3036.39 = 2951.96 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:56:06.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE -3036.39 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3036.39 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:56:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39 = 2951.96 strategic 2 OK subtract -3036.39 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:57:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 1 ERROR left -6564.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:57:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 2 ERROR left -6564.98y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:57:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) right 1 BUG right 2951.96 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:57:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) right 2 ERROR right 2951.96y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:57:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 3 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:58:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 4 ERROR left 5580.58 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:58:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 5 ERROR left 5580.58y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 12:58:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 6 ERROR left -5580.58y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:00:09.0 HINT HINT ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:00:09.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 3 HINT_LEVEL_CHANGE Type in -492.2y-3036.39-(-3036.39) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:00:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 7 ERROR left -492.2y-3036.39-(-3036.29) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:01:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39-(-3036.39) = 2951.96-(-3036.39) left 8 OK left -492.2y-3036.39-(-3036.39) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:01:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39+3036.39 = 2951.96-(-3036.39) right 1 OK right 5988.35 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y-3036.39+3036.39 = 5988.35 strategic 1 OK clt -492.2y-3036.39+3036.39 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 10 OK -492.2y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 3 OK -3036.39 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +3036.39 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 OK -492.2y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:02:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 3 ERROR 6072.78 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:03:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 4 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:03:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 OK -492.2y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:03:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y = 5988.35 strategic 1 OK divide -492.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:03:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -492.2y/-492.2 = 5988.35/-492.2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:03:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = 5988.35/-492.2 right 1 OK right -12.1664 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:04:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39+(-120.33y) = -515.06y+(-8785.79) strategic 1 OK rds 9885.39+(-120.33y) = -515.06y+(-8785.79) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:04:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y = -515.06y-8785.79 strategic 1 OK add 8785.79 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:05:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y-8785.79+8785.79 right 1 ERROR right 515.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:05:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y-8785.79+8785.79 right 2 BUG right 515.06y You forgot the negative sign. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:05:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y-8785.79+8785.79 right 3 BUG right -515.06 You forgot the y. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:05:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y-8785.79+8785.79 right 4 OK right -515.06y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:06:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y left 1 ERROR left 18550.85 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y left 2 ERROR left -18550.85 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y left 3 OK left 9885.39-120.33y+8785.79 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9885.39-120.33y+8785.79 = -515.06y strategic 1 OK clt 9885.39-120.33y+8785.79 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 2 BUG 9885.39 9885.39
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9885.39, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 3 BUG +8785.79 +8785.79
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +8785.79, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 4 BUG  120.33y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 5 BUG 9885.39 9885.39
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9885.39, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 6 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +8785.79 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 7 OK -120.33y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK 9885.39 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:07:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 ERROR -120.88y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:08:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 OK -120.33y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:08:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 18671.18 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:08:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -120.33y+18671.18 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:09:03.0 HINT HINT ES_05 ES_05-10 EG62A -120.33y+18671.18 = -515.06y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:09:04.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Move -120.33y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:09:08.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Subtract -120.33y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:09:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18 = -515.06y strategic 2 ERROR subtract -120.33 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:09:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18 = -515.06y strategic 3 OK subtract -120.33y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:10:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18-(-120.33y) = -515.06y-(-120.33y) left 1 ERROR left 18550.85 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:11:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18-(-120.33y) = -515.06y-(-120.33y) left 2 OK left -120.33y+18671.18-(-120.33y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:11:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18+120.33y = -515.06y-(-120.33y) right 1 ERROR right -394.73 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:11:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18+120.33y = -515.06y-(-120.33y) right 2 OK right -394.73y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:11:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -120.33y+18671.18+120.33y = -394.73y strategic 1 OK clt -120.33y+18671.18+120.33y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 8 OK -120.33y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 BUG +18671.18 +18671.18
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +18671.18, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 2 OK +120.33y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK +18671.18 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK 18671.18 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 18671.18 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 18671.18 = -394.73y strategic 1 OK divide -394.73 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:12:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 18671.18/-394.73 = -394.73y/-394.73 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:13:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 18671.18/-394.73 = y left 1 OK left -47.30114 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x+(-7014.9) = -821.33x+6953.4 strategic 1 OK rds -707.17x+(-7014.9) = -821.33x+6953.4 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9 = -821.33x+6953.4 strategic 1 ERROR add 707.17 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:32.0 HINT HINT ES_05 ES_05-10 EG62A -707.17x-7014.9 = -821.33x+6953.4 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:33.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Move 821.33x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:36.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Add 821.33x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9 = -821.33x+6953.4 strategic 3 ERROR add 821.33 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:14:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9 = -821.33x+6953.4 strategic 4 OK add 821.33x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:15:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x left 1 ERROR left -6900.74x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:15:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x left 2 ERROR left -6900.74 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:19:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x left 1 OK left -707.17x-7014.9+821.33x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:20:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x right 1 ERROR right 6953.4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x right 2 OK right -821.33x+6953.4+821.33x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -707.17x-7014.9+821.33x = -821.33x+6953.4+821.33x strategic 1 OK clt -707.17x-7014.9+821.33x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 OK -707.17x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 1 BUG -7014.9 -7014.9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7014.9, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 BUG +821.33x +821.33x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +821.33x, is not one of the constant terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 2 OK +821.33x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK -7014.9 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:21:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -7014.9 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:22:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 ERROR 114.16 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 2 OK 114.16x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR -6900.74 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 114.16x+-7014.9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x-7014.9 = -821.33x+6953.4+821.33x strategic 1 OK clt -821.33x+6953.4+821.33x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 OK -821.33x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 3 BUG +6953.4 +6953.4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6953.4, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:23:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 3 OK +6953.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x2R1 strategic 4 OK +821.33x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK 6953.4 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 OK 6953.4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x-7014.9 = 6953.4 strategic 1 ERROR subtract 114.16 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x-7014.9 = 6953.4 strategic 2 ERROR subtract 114.16x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:24:59.0 HINT HINT ES_05 ES_05-10 EG62A 114.16x-7014.9 = 6953.4 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:25:01.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE -7014.9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7014.9 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:25:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x-7014.9 = 6953.4 strategic 4 OK subtract -7014.9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:25:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x-7014.9-(-7014.9) = 6953.4-(-7014.9) left 1 OK left 114.16x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:26:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x = 6953.4-(-7014.9) right 1 OK right 13968.3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:26:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x = 13968.3 strategic 1 OK divide 114.16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:26:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 114.16x/114.16 = 13968.3/114.16 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:27:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x = 13968.3/114.16 right 1 OK right 122.3572 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:27:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -7912.23+425.17y = -203.92y+4680.75 strategic 1 BUG subtract 7912.23 Since -7912.23 is negative, you should add to remove it from the both side. Erase your last step and add 7912.23 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:28:25.0 HINT HINT ES_05 ES_05-10 EG62A -7912.23+425.17y = -203.92y+4680.75 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:28:26.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Move 203.92y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:28:29.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Add 203.92y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:28:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -7912.23+425.17y = -203.92y+4680.75 strategic 3 OK add 203.92y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:29:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -7912.23+425.17y+203.92y = -203.92y+4680.75+203.92y left 1 OK left -7912.23+425.17y+203.92y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -7912.23+425.17y+203.92y = -203.92y+4680.75+203.92y right 1 OK right -203.92y+4680.75+203.92y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -7912.23+425.17y+203.92y = -203.92y+4680.75+203.92y strategic 1 OK clt -7912.23+425.17y+203.92y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 BUG  7912.23  7912.23
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  7912.23, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 2 BUG  7912.23  7912.23
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  7912.23, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 3 OK +425.17y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 BUG -7912.23 -7912.23
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7912.23, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 2 OK +203.92y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:30:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -7912.23 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:31:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -7912.23 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:31:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK 629.09y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:31:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK 629.09y+-7912.23 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:31:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23 = -203.92y+4680.75+203.92y strategic 1 OK clt -203.92y+4680.75+203.92y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 3 OK +203.92y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 4 OK -203.92y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK +4680.75 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK 4680.75 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:32:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 4680.75 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:33:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23 = 4680.75 strategic 1 BUG subtract 7912.23 Since -7912.23 is negative, you should add to remove it from the left side. Erase your last step and add 7912.23 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:33:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23 = 4680.75 strategic 2 BUG subtract 4680.75 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:33:20.0 HINT HINT ES_05 ES_05-10 EG62A 629.09y-7912.23 = 4680.75 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:33:21.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 3 HINT_LEVEL_CHANGE -7912.23 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7912.23 (make it zero)? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:33:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23 = 4680.75 strategic 4 OK subtract -7912.23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:34:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23-(-7912.23) = 4680.75-(-7912.23) left 1 OK left 629.09y-7912.23-(-7912.23) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:34:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23+7912.23 = 4680.75-(-7912.23) right 1 OK right 4680.75-(-7912.23) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y-7912.23+7912.23 = 4680.75+7912.23 strategic 1 OK clt 629.09y-7912.23+7912.23 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 5 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 6 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +7912.23 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 7 BUG -7912.23 -7912.23
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7912.23, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 8 OK 629.09y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 3 OK -7912.23 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 OK 629.09y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 OK 629.09y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y = 4680.75+7912.23 strategic 1 OK clt 4680.75+7912.23 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:35:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 4 ERROR x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:36:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 5 OK 12592.98 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:38:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y = 12592.98 strategic 1 OK divide 629.09 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:38:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 629.09y/629.09 = 12592.98/629.09 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:38:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = 12592.98/629.09 right 1 OK right 20.0177 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:39:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+9.17x = 66.58+(-55.53x) strategic 1 OK rds 72.71+9.17x = 66.58+(-55.53x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:40:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+9.17x = 66.58-55.53x strategic 1 OK subtract 9.17x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:41:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+9.17x-9.17x = 66.58-55.53x-9.17x left 1 OK left 72.71+9.17x-9.17x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:41:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+9.17x-9.17x = 66.58-55.53x-9.17x right 1 OK right 66.58-55.53x-9.17x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:43:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+9.17x-9.17x = 66.58-55.53x-9.17x strategic 1 OK clt 72.71+9.17x-9.17x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 2 OK +9.17x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 1 BUG 72.71 72.71
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 72.71, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 2 OK -9.17x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK 72.71 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK 72.71 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 ERROR X condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 72.71 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71 = 66.58-55.53x-9.17x strategic 1 OK clt 66.58-55.53x-9.17x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 3 OK -55.53x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 3 BUG 66.58 66.58
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 66.58, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 4 BUG  9.17x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 5 BUG 66.58 66.58
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 66.58, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 6 OK -9.17x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 2 OK 66.58 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:44:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 2 OK 66.58 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:45:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 3 ERROR -64.7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:45:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 4 OK -64.7x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:45:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 OK -64.7x+66.58 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:46:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71 = -64.7x+66.58 strategic 1 ERROR subtract 64.7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:46:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71 = -64.7x+66.58 strategic 2 OK subtract -64.7x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:47:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71-(-64.7x) = -64.7x+66.58-(-64.7x) left 1 ERROR left 137.41x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:47:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71-(-64.7x) = -64.7x+66.58-(-64.7x) left 2 ERROR left 137.41 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:48:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71-(-64.7x) = -64.7x+66.58-(-64.7x) left 3 OK left 72.71-(-64.7x) condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:48:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x = -64.7x+66.58-(-64.7x) right 1 OK right -64.7x+66.58-(-64.7x) condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:48:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x = -64.7x+66.58+64.7x strategic 1 OK clt -64.7x+66.58+64.7x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 4 BUG  64.7x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 5 OK -64.7x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 3 OK +66.58 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 7 OK +64.7x condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 3 OK 66.58 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:49:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 5 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:50:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 3 OK 66.58 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:50:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x = 66.58 strategic 1 ERROR subtract 64.7x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:50:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x = 66.58 strategic 2 OK subtract 72.71 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:50:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x-72.71 = 66.58-72.71 left 1 BUG left 64.7 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:51:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 72.71+64.7x-72.71 = 66.58-72.71 left 2 OK left 64.7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:51:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 64.7x = 66.58-72.71 right 1 OK right -6.13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:51:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 64.7x = -6.13 strategic 1 OK divide 64.7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:51:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 64.7x/64.7 = -6.13/64.7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:51:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -6.13/64.7 right 1 OK right -0.09474 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:52:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -603.29y+5903.06 = -3672.55+390.99y strategic 1 ERROR subtract 603.29 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:52:25.0 HINT HINT ES_05 ES_05-10 EG62A -603.29y+5903.06 = -3672.55+390.99y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:52:26.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE Move 390.99y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:52:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -603.29y+5903.06 = -3672.55+390.99y strategic 3 OK subtract 390.99y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -603.29y+5903.06-390.99y = -3672.55+390.99y-390.99y left 1 OK left -603.29y+5903.06-390.99y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -603.29y+5903.06-390.99y = -3672.55+390.99y-390.99y right 1 OK right -3672.55+390.99y-390.99y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -603.29y+5903.06-390.99y = -3672.55+390.99y-390.99y strategic 1 OK clt -603.29y+5903.06-390.99y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK -603.29y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 1 BUG +5903.06 +5903.06
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5903.06, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 2 OK -390.99y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:53:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK +5903.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 5903.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK -994.28y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -994.28y+5903.06 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y+5903.06 = -3672.55+390.99y-390.99y strategic 1 OK clt -3672.55+390.99y-390.99y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 2 BUG -3672.55 -3672.55
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -3672.55, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 3 BUG  3672.55  3672.55
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  3672.55, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:54:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 4 BUG  3672.55  3672.55
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  3672.55, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 5 BUG  390.99y Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 6 OK +390.99y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 3 BUG -3672.55 -3672.55
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -3672.55, is not one of the y terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y2R1 strategic 4 OK -390.99y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK -3672.55 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK -3672.55 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK -3672.55 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:55:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y+5903.06 = -3672.55 strategic 1 OK subtract 5903.06 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:56:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y+5903.06-5903.06 = -3672.55-5903.06 left 1 OK left -994.28y+5903.06-5903.06 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y+5903.06-5903.06 = -3672.55-5903.06 right 1 OK right -3672.55-5903.06 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y+5903.06-5903.06 = -3672.55-5903.06 strategic 1 OK clt -994.28y+5903.06-5903.06 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 7 OK -994.28y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 3 OK +5903.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -5903.06 condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 3 OK -994.28y condition 1 cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 OK -994.28y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:57:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y = -3672.55-5903.06 strategic 1 OK clt -3672.55-5903.06 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:58:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 4 OK -9575.61 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:58:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y = -9575.61 strategic 1 OK divide -994.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:58:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y/-994.28 = -9575.61/-994.28 left 1 ERROR left 7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:58:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -994.28y/-994.28 = -9575.61/-994.28 left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I S2M2j2W session44 2007-05-24 13:59:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = -9575.61/-994.28 right 1 OK right 9.63069 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I SY4ru74 session0 2007-04-17 08:04:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.5489 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session1 2007-04-17 11:07:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A -13.26 = -6.21+(-9.36y) strategic 1 OK answer-check 0.7532 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 13:53:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 13:54:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -5+(-33x) = -71 strategic 1 OK answer-check 2 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 13:56:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B 10.15 = 1.51y+(-14.13) strategic 1 OK answer-check 16.0795 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 13:59:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 53x+74 = 17 strategic 1 OK answer-check -1.075471698 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:01:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 51.83 = 8.55+28.51y strategic 1 OK answer-check 1.518063837 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:04:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -7.89+(-9.8x) = 11.55 strategic 1 OK answer-check -1.983673469 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:07:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 76 = 84+67y strategic 1 OK answer-check -0.119402985 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:09:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 46.86 = -64.49x+80.15 strategic 1 OK answer-check 0.516204063 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:12:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 7645x+5217 = -3962 strategic 1 OK answer-check -1.200654022 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:14:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 49+(-18/x) = -26 strategic 1 ERROR answer-check 414 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:14:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 49+(-18/x) = -26 strategic 2 OK answer-check 6/25 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:18:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -43 = -45+(-49/x) strategic 1 OK answer-check -24.5 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:22:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -814+(-492/y) = -447 strategic 1 ERROR answer-check -814 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:23:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -814+(-492/y) = -447 strategic 2 OK answer-check -1.340599455 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:25:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 97 = -82+90/x strategic 1 ERROR answer-check 1.988888889 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:27:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 97 = -82+90/x strategic 2 OK answer-check .502793296 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session3 2007-04-17 14:30:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 641+232/x = -466 strategic 1 ERROR answer-check -.75862069 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 13:56:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 641+232/x = -466 strategic 1 OK answer-check -0.20957542908762420957542908762421 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:03:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 19 = -53/y+74 strategic 1 OK answer-check 0.96363636363636363636363636363636 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:07:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -75 = -36+84/y strategic 1 OK answer-check -2.1538461538461538461538461538462 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:09:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -23+(-59/x) = -10 strategic 1 OK answer-check -4.5384615384615384615384615384615 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:11:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -215+(-302/x) = 891 strategic 1 OK answer-check -0.2730560578661844484629294755877 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:13:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 99 = -89+49/x strategic 1 OK answer-check 0.26063829787234042553191489361702 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:16:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 684/y+(-141) = 889 strategic 1 ERROR answer-check 0.91443850267379679144385026737968 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:23:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 684/y+(-141) = 889 strategic 2 OK answer-check 0.66407766990291262135922330097087 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:27:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 433 = 854/x+978 strategic 1 OK answer-check -1.5669724770642201834862385321101 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:29:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -40 = 75+(-35/x) strategic 1 ERROR answer-check 3.2857142857142857142857142857143 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:30:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -40 = 75+(-35/x) strategic 2 OK answer-check 0.30434782608695652173913043478261 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:32:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -46/y+70 = -71 strategic 1 ERROR answer-check .362 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session4 2007-04-24 14:32:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -46/y+70 = -71 strategic 2 OK answer-check .3262 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 13:50:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A 291 = 381/y+(-155) strategic 1 OK answer-check 0.8542600896860986547085201793722 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 13:53:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -931+(-497/y) = -922 strategic 1 OK answer-check -55.222222222222222222222222222222 condition 4 Remove variable from denominator, type-in. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 13:56:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 -2+3y = -6y+(-4) strategic 1 OK answer-check -0.22222222222222222222222222222222 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 13:58:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -1y+(-7) = -2y+(-6) strategic 1 OK answer-check 1 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:00:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -6x+(-10) = 4x+(-2) strategic 1 OK answer-check -0.8 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:03:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 5y+7 = -4+(-7y) strategic 1 ERROR answer-check 0.91666666666666666666666666666667 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:04:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 5y+7 = -4+(-7y) strategic 2 OK answer-check -0.91666666666666666666666666666667 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:07:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -8+7y = 3+8y strategic 1 OK answer-check -11 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:10:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 5+6y = 8+8y strategic 1 OK answer-check -1.5 condition 4 Consolidate variarbles, integers<10. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:12:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 -2+6y = 9+(-1y) strategic 1 OK answer-check 1.5714285714285714285714285714286 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:16:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 8y+2 = -10y+4 strategic 1 OK answer-check 0.11111111111111111111111111111111 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:17:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 8+7y = 8y+2 strategic 1 OK answer-check 6 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:24:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7a EG61 -0.11y+(-7.35) = 5.72+(-8.54y) strategic 1 ERROR answer-check 1.5943060498220640569395017793594 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I SY4ru74 session5 2007-04-26 14:25:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7a EG61 -0.11y+(-7.35) = 5.72+(-8.54y) strategic 2 OK answer-check 1.5504 condition 4 Consolidate variables, decimal. wilkinsburghs-15221 248e8k0y6y--7--Alg I Sgkn3l2 session0 2007-04-19 09:48:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:48:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:48:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR rf -2029/572 = -y strategic condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:50:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check -3.54 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check 3.54 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:53:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 2 OK multiply -1 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:56:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -18.49+53.96y = 48.22 strategic 1 OK subtract -18.49 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:56:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 53.96y = 66.71 strategic 1 OK divide 53.96 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:56:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -18.49+53.96y = 48.22 strategic 2 OK answer-check 1.236 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:57:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -7947 = 7765x+6541 strategic 1 OK subtract 6541 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:57:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -14488 = 7765x strategic 1 OK divide 7765 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:57:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -7947 = 7765x+6541 strategic 2 OK answer-check -14488/7765 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:57:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 79.37y+83.25 = -2.62 strategic 1 OK subtract 83.25 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:57:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 79.37y = -85.87 strategic 1 OK divide 79.37 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:58:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 79.37y+83.25 = -2.62 strategic 2 OK answer-check -1.0819 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:58:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -19 = -54+29x strategic 1 OK subtract -54 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:58:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 35 = 29x strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 09:58:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -19 = -54+29x strategic 2 OK answer-check 35/29 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:00:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6562 = -4589+(-9490x) strategic 1 OK subtract -4589 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:01:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 11151 = -9490x strategic 1 OK divide -9490 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6562 = -4589+(-9490x) strategic 2 OK answer-check -11151/9490 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:01:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.85 = -11.22+6.14y strategic 1 OK subtract -11.22 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:02:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.85-(-11.22) = -11.22+6.14y-(-11.22) left 1 OK left 15.07 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:02:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 15.07 = -11.22+6.14y-(-11.22) right 1 OK right 6.14y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 15.07 = 6.14y strategic 1 OK divide 6.14 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:02:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 15.07/6.14 = 6.14y/6.14 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:02:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 15.07/6.14 = y left 1 OK left 2.454 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:03:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 3.85 = -11.22+6.14y strategic 2 OK answer-check 2.4544 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:03:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1414 = 4343x+(-3115) strategic 1 OK subtract -3115 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:04:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1414-(-3115) = 4343x+(-3115)-(-3115) left 1 OK left 1701 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:04:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1701 = 4343x+(-3115)-(-3115) right 1 OK right 4343x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1701 = 4343x strategic 1 OK divide 4343 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1701/4343 = 4343x/4343 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1701/4343 = x left 1 OK left .39 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1414 = 4343x+(-3115) strategic 2 OK answer-check .392 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -82+(-78x) = -17 strategic 1 OK subtract -82 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:05:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -82+(-78x)-(-82) = -17-(-82) left 1 OK left -78x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:06:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -78x = -17-(-82) right 1 OK right 65 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:06:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -78x = 65 strategic 1 OK divide -78 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:06:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -78x/-78 = 65/-78 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 65/-78 right 1 OK right -.8333 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:07:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -82+(-78x) = -17 strategic 2 ERROR answer-check -.3888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:07:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -82+(-78x) = -17 strategic 3 OK answer-check -.8333 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:08:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79y+(-8.52) = -6.61 strategic 1 OK subtract -8.52 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:09:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79y+(-8.52)-(-8.52) = -6.61-(-8.52) left 1 OK left -5.79 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:09:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79 = -6.61-(-8.52) right 1 OK right 1.91 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:09:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79y+(-8.52) = -6.61 strategic 2 OK subtract -8.52 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:09:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79y+(-8.52)-(-8.52) = -6.61-(-8.52) left 2 OK left -5.79x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:10:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79x = -6.61-(-8.52) right 1 OK right 1.91 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79x = 1.91 strategic 1 BUG divide -5.79 You already solved the equation. -5.79x can never be equal to 1.91, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:10:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79x/-5.79 = 1.91/-5.79 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:10:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 1.91/-5.79 right 1 OK right -.329 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -5.79y+(-8.52) = -6.61 strategic 3 OK answer-check -.329 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x+9.77 = 12.8 strategic 1 OK subtract 9.77 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x+9.77-9.77 = 12.8-9.77 right 1 OK right 3.03 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x+9.77-9.77 = 3.03 left 1 OK left -13.61x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x = 3.03 strategic 1 OK divide -13.61 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x/-13.61 = 3.03/-13.61 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:12:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 3.03/-13.61 right 1 OK right -.22 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:13:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -13.61x+9.77 = 12.8 strategic 2 OK answer-check -.222 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:14:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 48 = -90+53/y strategic 1 OK subtract -90 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 138 = 53/y strategic 1 BUG multiply 53 To remove 53/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 53/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:14:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 7314 = 2809/y strategic 1 BUG multiply 2809 To remove 2809/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 2809/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:21:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 48 = -90+53/y strategic 2 BUG add -90 To remove -90 from the right side, you can add a positive to it. Erase your last step and add 90 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:21:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -42 = -180+53/y strategic 1 BUG multiply 53 To remove 53/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 53/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:22:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -42 = -180+53/y strategic 2 OK subtract -180 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:23:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -42 = -180+53/y strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:24:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -42y = (-180+53/y)*y strategic 1 OK distribute (-180+53/y)*y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:30:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 48 = -90+53/y strategic 3 OK add 90 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:30:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 138 = 53/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:30:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 138y = 53 strategic 1 OK divide 138 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:30:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 48 = -90+53/y strategic 4 OK answer-check 53/138 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 35 = 50/y+(-42) strategic 1 OK add 42 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:31:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 77 = 50/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:32:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 77y = 50 strategic 1 OK divide 77 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:32:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 35 = 50/y+(-42) strategic 2 OK answer-check 50/77 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 938+80/y = 194 strategic 1 ERROR subtract 24 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:37:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 914+80/y = 170 strategic 1 OK subtract 914 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:38:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 80/y = -744 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 80 = -744y strategic 1 OK divide -744 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:38:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 938+80/y = 194 strategic 2 OK answer-check -10/93 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:38:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 324 = 80+791/y strategic 1 ERROR add 46 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:38:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 370 = 126+791/y strategic 1 OK subtract 126 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 244 = 791/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:39:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 244y = 791 strategic 1 OK divide 244 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:39:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 324 = 80+791/y strategic 2 OK answer-check 791/244 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:39:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196 = -708/x+(-43) strategic 1 OK subtract -43 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:39:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196-(-43) = -708/x+(-43)-(-43) left 1 OK left -708/x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:40:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196 = -708/x+(-43) strategic 2 OK subtract -43 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:40:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196-(-43) = -708/x+(-43)-(-43) right 1 OK right -708/x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:40:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196-(-43) = -708/x left 1 OK left -153 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:40:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153 = -708/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:41:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153 = -708/x strategic 2 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:41:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x = -708/x*x left 1 OK left -153x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x = -708/x*x right 1 OK right -708x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153 = -708/x strategic 3 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x = -708/x*x right 2 OK right -708 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x = -708 left 1 OK left -153x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x = -708 strategic 1 OK divide -153 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -153x/-153 = -708/-153 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:42:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -708/-153 right 1 OK right 4.627 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -196 = -708/x+(-43) strategic 3 OK answer-check 4.627 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 75 = -90/x+42 strategic 1 OK subtract 42 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 75-42 = -90/x+42-42 left 1 OK left 33 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33 = -90/x+42-42 right 1 OK right -90/x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33 = -90/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33x = -90/x*x right 1 OK right -90 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33x = -90 left 1 OK left 33x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33x = -90 strategic 1 OK divide 33 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:43:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 33x/33 = -90/33 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:44:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -90/33 right 1 OK right -2.727 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:44:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 75 = -90/x+42 strategic 2 OK answer-check -2.727 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:44:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 93+28/x = 68 strategic 1 OK subtract 93 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:44:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 93+28/x-93 = 68-93 right 1 OK right -25 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 93+28/x-93 = -25 left 1 OK left 28/x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28/x = -25 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28/x*x = -25x left 1 OK left 28 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28 = -25x right 1 OK right -25x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28 = -25x strategic 1 OK divide -25 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:45:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28/-25 = -25x/-25 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:46:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 28/-25 = x left 1 OK left -1.12 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:46:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 93+28/x = 68 strategic 2 OK answer-check -1.12 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 9x+(-9) = -5x+(-9) strategic 1 OK subtract -9 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:48:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 9x+(-9) = -5x+(-9) strategic 2 OK add +9 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 9x = -5x strategic 1 OK add +5x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:48:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 14x = 0 strategic 1 OK divide 14 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:48:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 9x+(-9) = -5x+(-9) strategic 3 OK answer-check 0 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:49:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 1 BUG subtract 34 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:49:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -27-10x = x-38 strategic 1 ERROR subtract 13x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -27-23x = -12x-38 strategic 1 ERROR clt -27-23x = -12x-38 strategic condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:50:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -27-23x = -12x-38 strategic 2 ERROR divide -32 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:51:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 2 BUG subtract 34 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:51:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -27-10x = x-38 strategic 2 ERROR subtract 13x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 3 OK subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:53:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x = x-11 strategic 1 ERROR add 11 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+11 = x strategic 1 BUG divide -10 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session0 2007-04-19 10:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 4 OK mt 1x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:48:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 1 OK subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:48:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x = x-11 strategic 1 OK subtract 1x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -11x = -11 strategic 1 OK divide -11 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+(-10x) = 1x+(-4) strategic 2 OK answer-check 1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:49:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7+1y = 4y+10 strategic 1 OK subtract -7 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:49:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 y = 4y+17 strategic 1 OK subtract 4y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:49:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3y = 17 strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:50:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7+1y = 4y+10 strategic 2 OK answer-check -5.666 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:50:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+7y = 3+(-2y) strategic 1 OK subtract -8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:50:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7y = 11-2y strategic 1 OK add 2y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:50:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y = 11 strategic 1 OK divide 9 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8+7y = 3+(-2y) strategic 2 OK answer-check 1.2222 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:51:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 1 OK subtract -2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:51:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2)-(-2) = 2+8y-(-2) left 1 OK left 7y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:51:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 2+8y-(-2) right 1 OK right 2+10y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:52:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 2+10y strategic 1 OK subtract 10y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:52:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y-10y = 2+10y-10y right 1 OK right 2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:52:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y-10y = 2 left 1 OK left -3y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 1 OK right -.6667 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 2 ERROR answer-check -.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 3 ERROR answer-check -.66666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:53:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 4 ERROR answer-check -.666666667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:54:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 2 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:54:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 09:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 2 OK right -0.6666 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:00:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 5 OK add 2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:01:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2)+2 = 2+8y+2 left 1 OK left 7y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:01:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 2+8y+2 right 1 OK right 2+10y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:01:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 2+10y strategic 2 OK subtract 10y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y-10y = 2+10y-10y left 1 OK left -3y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2+10y-10y right 1 OK right 2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 3 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 3 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 3 OK right -.6666 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 6 OK add 2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2)+2 = 2+8y+2 left 2 OK left 7y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 2+8y+2 right 2 OK right 4+8y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 4+8y strategic 1 OK subtract 8y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y-8y = 4+8y-8y left 1 OK left -1y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 4+8y-8y right 1 OK right 4 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 4 strategic 1 OK divide -1 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y/-1 = 4/-1 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 4/-1 right 1 OK right -4 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:03:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y+(-2) = 2+8y strategic 7 OK answer-check -4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:04:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+4 = -5y+3 strategic 1 OK subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:04:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+4-4 = -5y+3-4 left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:04:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = -5y+3-4 right 1 OK right -5y+(-1) condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = -5y+(-1) strategic 1 OK subtract -5y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-(-5y) = -5y+(-1)-(-5y) right 1 OK right -1 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-(-5y) = -1 left 1 OK left -4y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -1 strategic 1 BUG multiply -4 To remove the coefficient of -4y, you need to divide. Erase your last step and then divide both sides by -4. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y*(-4) = -1*(-4) left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:05:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -1*(-4) right 1 OK right 4 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:06:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+4 = -5y+3 strategic 2 ERROR answer-check 4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:06:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+4 = -5y+3 strategic 3 ERROR answer-check -4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:06:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -1 strategic 2 OK divide -4 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:06:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y/-4 = -1/-4 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -1/-4 right 1 OK right .25 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:08:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y+4 = -5y+3 strategic 4 OK answer-check .25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:10:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+3 = 5+(-9y) strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:10:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+3-3 = 5+(-9y)-3 left 1 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:10:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 5+(-9y)-3 right 1 OK right 2+(-9y) condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:11:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 2+(-9y) strategic 1 OK subtract -9y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y-(-9y) = 2+(-9y)-(-9y) right 1 OK right 2 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:11:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y-(-9y) = 2 left 1 OK left 3y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:11:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = 2 strategic 1 OK divide 3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:11:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y/3 = 2/3 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:12:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/3 right 1 OK right .66666 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:12:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+3 = 5+(-9y) strategic 2 OK answer-check .66666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:12:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 1 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:13:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y)-8 = 1y+(-3)-8 left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:13:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+(-3)-8 right 1 OK right 1y+5 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:13:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+5 strategic 1 OK unnec-elems -9y=1y+5 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 2 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y)-8 = 1y+(-3)-8 left 2 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+(-3)-8 right 2 OK right 1y+5 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+5 strategic 2 OK unnec-elems -9y=1y+5 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = y+5 strategic 1 OK subtract y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = y+5-y right 1 OK right 5 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = 5 left 1 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = 5 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:14:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y/-8 = 5/-8 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:15:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 5/-8 right 1 OK right -.625 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:15:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 3 ERROR answer-check -.625 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:15:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 4 ERROR answer-check .625 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:17:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 5 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:17:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y)-8 = 1y+(-3)-8 left 3 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:17:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+(-3)-8 right 3 OK right y+(-11) condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:18:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = y+(-11) strategic 1 OK subtract y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:18:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = y+(-11)-y left 1 OK left -9 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:18:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = y+(-11) strategic 2 OK subtract y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:18:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = y+(-11)-y left 2 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = y+(-11)-y right 1 OK right -11 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:19:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = -11 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:19:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y/-8 = -11/-8 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:19:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -11/-8 right 1 OK right 1.375 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:19:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 6 ERROR answer-check 1.375 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:27:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = y+(-11) strategic 3 OK subtract y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:27:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = y+(-11)-y left 3 OK left -10y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:27:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y = y+(-11)-y right 1 OK right -11 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y = -11 strategic 1 OK divide -10 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:28:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y/-10 = -11/-10 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:28:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -11/-10 right 1 OK right 1.1 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:28:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8+(-9y) = 1y+(-3) strategic 7 OK answer-check 1.1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:34:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0+8x = 7x+3 strategic 1 OK subtract 0 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0+8x-0 = 7x+3-0 right 1 OK right 7x+3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0+8x-0 = 7x+3 left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 7x+3 strategic 1 OK subtract 7x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-7x = 7x+3-7x left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 7x+3-7x right 1 OK right 3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0+8x = 7x+3 strategic 2 OK answer-check 3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:35:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = 1x+3 strategic 1 OK subtract -7 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:36:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x)-(-7) = 1x+3-(-7) left 1 OK left -2x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:36:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 1x+3-(-7) right 1 OK right x+10 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:36:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = x+10 strategic 1 OK subtract x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x-x = x+10-x left 1 OK left -3x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3x = x+10-x right 1 OK right 10 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3x = 10 strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3x/-3 = 10/-3 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 10/-3 right 1 OK right -3.333 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:37:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7+(-2x) = 1x+3 strategic 2 OK answer-check -3.3333 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.05y+(-2.32) = -7.18y+8.29 strategic 1 OK add 2.32 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:39:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.05y = -7.18y+10.61 strategic 1 OK add 7.18y condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:39:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 5.13y = 10.61 strategic 1 OK divide 5.13 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:39:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.05y+(-2.32) = -7.18y+8.29 strategic 2 OK answer-check 2.0682 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:41:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.15x+(-1.07) = 2.68+(-2.63x) strategic 1 ERROR subtract 8.42 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:41:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.15x-9.49 = -5.74-2.63x strategic 1 ERROR subtract 46.8x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:42:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.15x+(-1.07) = 2.68+(-2.63x) strategic 2 OK subtract -1.07 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:44:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.15x = 3.75-2.63x strategic 1 OK add 2.63x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:45:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.52x = 3.75 strategic 1 OK divide -5.52 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:45:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.15x+(-1.07) = 2.68+(-2.63x) strategic 3 OK answer-check -0.6793 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:45:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x+(-0.94) = 3.16x+(-9.63) strategic 1 OK subtract -.94 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:46:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x = 3.16x-8.69 strategic 1 ERROR add 3.16x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:46:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x = 3.16x-8.69 strategic 2 ERROR add 3.16x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:50:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x = 3.16x-8.69 strategic 3 OK subtract 3.16x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:51:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.85x = -8.69 strategic 1 ERROR multiply 1.85 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:52:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x+(-0.94) = 3.16x+(-9.63) strategic 2 BUG subtract .94 Since -0.94 is negative, you should add to remove it from the both side. Erase your last step and add 0.94 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:52:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x-1.88 = 3.16x-10.57 strategic 1 ERROR add 3.16x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:54:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x-1.88 = 3.16x-10.57 strategic 2 OK add 1.88 condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x = 3.16x-8.69 strategic 4 ERROR add 3.16x condition 3 cwctc 247w34xrp1--3--Alg I Sgkn3l2 session1 2007-04-24 10:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.31x = 3.16x-8.69 strategic 5 ERROR add 8.69 condition 3 cwctc 247w34xrp1--3--Alg I SqSIei2 session95 2007-04-19 20:45:44.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:45:54.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:45:57.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:18.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -8.98 = 9.26+7.61y strategic 1 OK subtract 9.26 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:25.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -18.24 = 7.61y strategic 1 OK divide 7.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:36.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -67 = -80+(-48y) strategic 1 OK rds -67 = -80+(-48y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:44.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -67 = -80-48y strategic 1 BUG add -80 To remove -80 from the right side, you can add a positive to it. Erase your last step and add 80 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:52.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -67 = -80-48y strategic 2 OK add 80 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:46:56.0 CYCLE CYCLE ES_05 ES_05-1 EG43 13 = -48y strategic 1 ERROR divide 47 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:02.0 CYCLE CYCLE ES_05 ES_05-1 EG43 13 = -48y strategic 2 ERROR divide -47 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:09.0 CYCLE CYCLE ES_05 ES_05-1 EG43 13 = -48y strategic 3 BUG divide 13 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:16.0 HINT HINT ES_05 ES_05-1 EG43 13 = -48y strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:17.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE -48y is -48 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:23.0 CYCLE CYCLE ES_05 ES_05-1 EG43 13 = -48y strategic 5 OK divide -48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:39.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -3.36+11.14y = 11.18 strategic 1 BUG subtract 3.36 Since -3.36 is negative, you should add to remove it from the left side. Erase your last step and add 3.36 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:48.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -3.36+11.14y = 11.18 strategic 2 OK subtract -3.36 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:47:54.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 11.14y = 14.54 strategic 1 OK divide 11.14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:07.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 1572 = -298x+(-7923) strategic 1 OK rds 1572 = -298x+(-7923) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:17.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 1572 = -298x-7923 strategic 1 OK add 7923 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:24.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9495 = -298x strategic 1 ERROR divide -29 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:33.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9495 = -298x strategic 2 BUG divide 298 In this equation, x is multiplied by -298. Dividing by 298 leaves -x, so you still need to remove the negative sign. It is better to divide by -298, since that would leave x. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9495 = -298x strategic 3 OK divide -298 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:48:50.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -5228+(-1761y) = 6605 strategic 1 OK rds -5228+(-1761y) = 6605 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:49:00.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -5228-1761y = 6605 strategic 1 BUG add -5228 To remove -5228 from the left side, you can add a positive to it. Erase your last step and add 5228 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:49:08.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -5228-1761y = 6605 strategic 2 OK add 5228 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:49:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1761y = 11833 strategic 1 OK divide -1761 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:49:44.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -76.95 = -81.11x+73.04 strategic 1 OK subtract 73.04 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:49:54.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -149.99 = -81.11x strategic 1 OK divide -81.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:50:04.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -94y+(-7) = 47 strategic 1 OK rds -94y+(-7) = 47 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:50:19.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -94y-7 = 47 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:50:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -94y = 54 strategic 1 OK divide -94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:50:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y+(-2529) = 2021 strategic 1 OK rds -2513y+(-2529) = 2021 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:50:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y-2529 = 2021 strategic 1 OK add 2529 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y-2529+2529 = 2021+2529 left 1 OK left -2513y-2529+2529 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y-2529+2529 = 2021+2529 right 1 OK right 2021+2529 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y-2529+2529 = 2021+2529 strategic 1 OK clt -2513y-2529+2529 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y1R1 strategic 1 OK -2513y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 1 OK -2529 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:52.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms2R1 strategic 1 OK +2529 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:51:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A yR2 strategic 1 OK -2513y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 OK -2513y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y = 2021+2529 strategic 1 OK clt 2021+2529 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 2 OK 4550 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y = 4550 strategic 1 OK divide -2513 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:52:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2513y/-2513 = 4550/-2513 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:53:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = 4550/-2513 right 1 ERROR right 2037 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:53:04.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = 4550/-2513 right 2 ERROR right -2037 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:53:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = 4550/-2513 right 3 BUG right 1.8105 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:53:52.0 CYCLE CYCLE ES_05 ES_05-2 EG43A y = 4550/-2513 right 4 OK right -1.8105 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:54:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x+(-5.34) = -2.46 strategic 1 OK rds 1.54x+(-5.34) = -2.46 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:54:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x-5.34 = -2.46 strategic 1 OK add 5.34 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:54:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x-5.34+5.34 = -2.46+5.34 left 1 OK left 1.54x-5.34+5.34 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:54:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x-5.34+5.34 = -2.46+5.34 right 1 OK right -2.46+5.34 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:54:56.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x-5.34+5.34 = -2.46+5.34 strategic 1 OK clt 1.54x-5.34+5.34 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x1R1 strategic 1 OK 1.54x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:06.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms1R1 strategic 1 OK -5.34 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant terms2R1 strategic 1 OK +5.34 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42B constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42B xR2 strategic 1 OK 1.54x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 OK 1.54x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x = -2.46+5.34 strategic 1 OK clt -2.46+5.34 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 2 OK 2.88 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:55:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x = 2.88 strategic 1 OK divide 1.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:56:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 1.54x/1.54 = 2.88/1.54 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:56:25.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x = 2.88/1.54 right 1 OK right 1.8701 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:56:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7+(-6.93y) = -9.8 strategic 1 OK rds 6.7+(-6.93y) = -9.8 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:56:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7-6.93y = -9.8 strategic 1 BUG add 6.7 Since 6.7 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 6.7 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:56:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7-6.93y = -9.8 strategic 2 OK subtract 6.7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7-6.93y-6.7 = -9.8-6.7 left 1 OK left 6.7-6.93y-6.7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7-6.93y-6.7 = -9.8-6.7 right 1 OK right -9.8-6.7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 6.7-6.93y-6.7 = -9.8-6.7 strategic 1 OK clt 6.7-6.93y-6.7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:23.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y1R1 strategic 1 BUG 6.7 6.7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6.7, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y1R1 strategic 2 BUG  6.93y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y1R1 strategic 3 OK -6.93y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant terms2R1 strategic 1 OK -6.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant terms1R1 strategic 1 OK 6.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42A yR2 strategic 1 OK -6.93y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:53.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 1 OK -6.93y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:57:53.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.93y = -9.8-6.7 strategic 1 OK clt -9.8-6.7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:58:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42A FinalAnswer strategic 2 OK -16.5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:58:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.93y = -16.5 strategic 1 OK divide -6.93 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:58:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.93y/-6.93 = -16.5/-6.93 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:58:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42A y = -16.5/-6.93 right 1 OK right 2.3809 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:58:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71 = 762+140/x strategic 1 ERROR rf -71 = 762+140/x strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71 = 762+140/x strategic 2 ERROR rds -71 = 762+140/x strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71 = 762+140/x strategic 3 ERROR subtract 726 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -71 = 762+140/x strategic 4 OK subtract 762 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:27.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -833 = 140/x strategic 1 BUG multiply 140 To remove 140/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 140/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:39.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -833 = 140/x strategic 2 ERROR multiply 140x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:48.0 HINT HINT ES_05 ES_05-3 EG59A -833 = 140/x strategic 3 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:49.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE 140/x is 140 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:53.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 20:59:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -833 = 140/x strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:04.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -833x = 140 strategic 1 OK divide -833 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59 51+98/y = -22 strategic 1 OK subtract 51 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59 98/y = -73 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:24.0 CYCLE CYCLE ES_05 ES_05-3 EG59 98 = -73y strategic 1 BUG divide 98 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:31.0 CYCLE CYCLE ES_05 ES_05-3 EG59 98 = -73y strategic 2 OK divide -73 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:48.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -77+85/y = -86 strategic 1 OK subtract -77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59 85/y = -9 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:00:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 85 = -9y strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:21.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -326 = -530+(-139/y) strategic 1 OK rds -326 = -530+(-139/y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -326 = -530-139/y strategic 1 BUG add -530 To remove -530 from the right side, you can add a positive to it. Erase your last step and add 530 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -326 = -530-139/y strategic 2 BUG add -530 To remove -530 from the right side, you can add a positive to it. Erase your last step and add 530 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:44.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -326 = -530-139/y strategic 3 ERROR add 53 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -326 = -530-139/y strategic 4 OK add 530 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 204 = -139/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:01:59.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 204y = -139 strategic 1 OK divide 204 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x+(-3) = 67 strategic 1 OK rds -67/x+(-3) = 67 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x-3 = 67 strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x-3+3 = 67+3 left 1 OK left -67/x-3+3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x-3+3 = 67+3 right 1 OK right 67+3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x-3+3 = 67+3 strategic 1 OK clt -67/x-3+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/x1R1 strategic 1 BUG  67/x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/x1R1 strategic 2 OK -67/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK +3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/xR2 strategic 1 OK -67/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -67/x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:02:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 67+3 strategic 1 OK clt 67+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:03:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 OK 70 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:03:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 70 strategic 1 BUG divide 67 In this equation, x is multiplied by -67. Dividing by 67 leaves -x, so you still need to remove the negative sign. It is better to divide by -67, since that would leave x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:04:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 70 strategic 2 ERROR divide -67 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:04:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 70 strategic 3 BUG multiply -67 To remove -67/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -67/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:04:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 70 strategic 4 ERROR multiply -67/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:04:58.0 HINT HINT ES_05 ES_05-4 EG59 -67/x = 70 strategic 5 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:05.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE -67/x is -67 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:09.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 67+3 strategic 2 OK clt 67+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 3 OK 70 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 70 strategic 6 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x*x = 70x left 1 ERROR left 67x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x*x = 70x left 2 OK left -67 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:05:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67 = 70x right 1 OK right 70x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67 = 70x strategic 1 OK divide 70 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/70 = 70x/70 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/70 = x left 1 BUG left 0.9571 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/70 = x left 2 OK left -0.9571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x+76 = 79 strategic 1 OK subtract 76 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:06:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x+76-76 = 79-76 left 1 OK left -181/x+76-76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x+76-76 = 79-76 right 1 OK right 79-76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x+76-76 = 79-76 strategic 1 OK clt -181/x+76-76 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 1 BUG  181/x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/x1R1 strategic 2 OK -181/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms1R1 strategic 1 OK +76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant terms2R1 strategic 1 OK -76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1/xR2 strategic 1 OK -181/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 1 OK -181/x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x = 79-76 strategic 1 OK clt 79-76 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:07:58.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK 3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x = 3 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/x*x = 3x left 1 OK left -181 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181 = 3x right 1 OK right 3x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181 = 3x strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/3 = 3x/3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/3 = x left 1 BUG left 60.3333 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:08:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -181/3 = x left 2 OK left -60.3333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:09:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x+(-25) = -24 strategic 1 OK rds -94/x+(-25) = -24 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:09:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25 = -24 strategic 1 OK add 25 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:09:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25+25 = -24+25 left 1 OK left -94/x-25+25 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25+25 = -24+25 right 1 OK right -24+25 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25+25 = -24+25 strategic 1 OK clt -94/x-25+25 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/x1R1 strategic 1 OK -94/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms1R1 strategic 1 OK -25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant terms2R1 strategic 1 OK +25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1/xR2 strategic 1 OK -94/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -94/x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x = -24+25 strategic 1 OK clt -24+25 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 2 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x = 1 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:10:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 1x = -94/x*x left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x right 1 BUG right 1x Just multiply 1 by x. You can simplify in the next step. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x right 2 BUG right 1 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x right 3 BUG right 1x Just multiply 1 by x. You can simplify in the next step. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x right 4 BUG right 1*x Just multiply 1 by x. You can simplify in the next step. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:47.0 HINT HINT ES_05 ES_05-4 EG59 x = -94/x*x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:11:48.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in -94/x*x on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x right 5 OK right -94/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:10.0 HINT HINT ES_05 ES_05-4 EG59 x = -94/x*x strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x strategic 3 ERROR rf x = -94/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x strategic 4 ERROR rds x = -94/x*x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:20.0 HINT HINT ES_05 ES_05-4 EG59 x = -94/x*x strategic 5 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:24.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94/x*x strategic 6 OK mt -94/x*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-num-node strategic 1 ERROR x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-num-node strategic 2 ERROR 94x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:44.0 HINT HINT ES_05 ES_05-4 EG59 pm-r-num-node strategic 3 INITIAL_HINT 94x You need to multiply the numerators together. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:46.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 3 HINT_LEVEL_CHANGE What is -94 times x? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-num-node strategic 4 OK -94x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59 pm-r-den-node strategic 1 OK 1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:12:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 3 ERROR -95x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:02.0 HINT HINT ES_05 ES_05-4 EG59 FinalAnswer strategic 4 INITIAL_HINT -95x Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:05.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 4 HINT_LEVEL_CHANGE Type -94x/x. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 5 OK -94x/x condition 1 perform-mult-r-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:22.0 HINT HINT ES_05 ES_05-4 EG59 x = -94x/x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:23.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -94x/x strategic 2 OK rf -94x/x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-X strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-D-X strategic 1 OK 1/[x] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row1-N-constant factors strategic 1 OK -94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 1 BUG -94 -94
Perhaps you should fill in the denominator of the constant factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x+(-25) = -24 strategic 2 OK rds -94/x+(-25) = -24 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:50.0 HINT HINT ES_05 ES_05-4 EG59 -94/x-25 = -24 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:51.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 6 HINT_LEVEL_CHANGE -25 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -25 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:13:55.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 7 HINT_LEVEL_CHANGE You can add 25 to both sides of the equation to eliminate the constant value of -25 (-25 + 25 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25 = -24 strategic 3 OK add 25 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25+25 = -24+25 right 2 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x-25+25 = 1 left 1 OK left -94/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:17.0 HINT HINT ES_05 ES_05-4 EG59 -94/x = 1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:18.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 8 HINT_LEVEL_CHANGE -94/x is -94 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x = 1 strategic 3 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x right 1 OK right 1x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x left 1 ERROR left 944/x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:50.0 HINT HINT ES_05 ES_05-4 EG59 -94/x*x = 1x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:14:51.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 9 HINT_LEVEL_CHANGE Type in -94/x*x on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x left 2 OK left -94/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x strategic 2 OK unnec-elems -94/x*x=1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = x strategic 1 OK mt -94/x*x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:25.0 HINT HINT ES_05 ES_05-4 EG59 -94/x = 1 strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:27.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 10 HINT_LEVEL_CHANGE -94/x is -94 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:31.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 11 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x = 1 strategic 5 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:15:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x left 3 BUG left -94/x You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x right 2 OK right 1x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94/x*x = 1x left 4 OK left -94 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94 = 1x strategic 1 OK unnec-elems -94=1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -94 = x strategic 1 BUG divide -94 You already solved the equation. x is -94. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 628 = -765/x+(-738) strategic 1 OK rds 628 = -765/x+(-738) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 628 = -765/x-738 strategic 1 OK add 738 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:16:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 628+738 = -765/x-738+738 right 1 OK right -765/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 628+738 = -765/x left 1 ERROR left 1365 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 628+738 = -765/x left 2 OK left 1366 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366 = -765/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366x = -765/x*x right 1 OK right -765 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366x = -765 left 1 BUG left 1366 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366x = -765 left 2 OK left 1366x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:17:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366x = -765 strategic 1 OK divide 1366 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1366x/1366 = -765/1366 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -765/1366 right 1 BUG right 0.5600 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -765/1366 right 2 OK right -0.5600 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6+3x = -1+(-2x) strategic 1 OK rds -6+3x = -1+(-2x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6+3x = -1-2x strategic 1 OK subtract -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = 5-2x strategic 1 ERROR add 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:18:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = 5-2x strategic 2 ERROR clt 3x = 5-2x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = 5-2x strategic 3 ERROR divide 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:06.0 HINT HINT ES_05 ES_05-5 EG60 3x = 5-2x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:08.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = 5-2x strategic 5 BUG divide -2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:26.0 HINT HINT ES_05 ES_05-5 EG60 3x = 5-2x strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move -2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:30.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract -2x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = 5-2x strategic 7 OK subtract -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x = 5 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:19:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x+(-6) = -4+(-1x) strategic 1 OK rds -4x+(-6) = -4+(-1x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:20:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-6 = -4-1x strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the both side. Erase your last step and add 6 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:20:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-6 = -4-1x strategic 2 BUG add -6 To remove -6 from the left side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:20:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x-6 = -4-1x strategic 3 OK add 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:20:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 2-x strategic 1 BUG divide -4 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:20:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 2-x strategic 2 ERROR clt -4x = 2-x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 2-x strategic 3 ERROR add 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:15.0 HINT HINT ES_05 ES_05-5 EG60 -4x = 2-x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:16.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:19.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4x = 2-x strategic 5 OK subtract -x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3x = 2 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0+(-9x) = -1x+(-10) strategic 1 OK rds 0+(-9x) = -1x+(-10) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-9x = -1x-10 strategic 1 BUG add 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:21:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0-9x = -1x-10 strategic 2 OK clt 0-9x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9x = -1x-10 strategic 1 OK subtract -x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x = -10 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+2y = -6y+3 strategic 1 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+2y = -6y strategic 1 ERROR add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+2y = -6y strategic 2 ERROR subtract -y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+2y = -6y strategic 3 OK subtract y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:22:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+y = -7y strategic 1 ERROR clt 1+y = -7y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+y = -7y strategic 2 BUG divide -7 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+y = -7y strategic 3 ERROR subtract 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+y = -7y strategic 4 ERROR subtract 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:27.0 HINT HINT ES_05 ES_05-5 EG60 1+y = -7y strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:29.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+y = -7y strategic 6 OK subtract -7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+8y = 0 strategic 1 ERROR clt 1+8y = 0 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+8y = 0 strategic 2 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 (1+8y)/8 = 0 strategic 1 ERROR clt (1+8y)/8 = 0 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:23:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 (1+8y)/8 = 0 strategic 2 ERROR rf (1+8y)/8 = 0 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 (1+8y)/8 = 0 strategic 3 ERROR subtract y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:08.0 HINT HINT ES_05 ES_05-5 EG60 (1+8y)/8 = 0 strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:19.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 (1+8y)/8 = 0 strategic 5 OK distribute (1+8y)/8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:27.0 HINT HINT ES_05 ES_05-5 EG60 1/8+y = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:32.0 HINT HINT ES_05 ES_05-5 EG60 1/8+y = 0 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:33.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE 1/8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1/8 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/8+y = 0 strategic 3 ERROR subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:48.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/8+y = 0 strategic 4 ERROR subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:51.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 4 HINT_LEVEL_CHANGE You can subtract 1/8 from both sides of the equation to eliminate the constant value of 1/8 (1/8 - 1/8 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:24:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1/8+y = 0 strategic 5 OK subtract 1/8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+6x = 5+(-7x) strategic 1 OK rds -8+6x = 5+(-7x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+6x = 5-7x strategic 1 ERROR subtract x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+6x = 5-7x strategic 2 ERROR subtract -x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+6x = 5-7x strategic 3 ERROR subtract -x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:36.0 HINT HINT ES_05 ES_05-5 EG60 -8+6x = 5-7x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:37.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+6x = 5-7x strategic 5 OK subtract 7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8-x = 5-14x strategic 1 ERROR clt -8-x = 5-14x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:25:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8-x = 5-14x strategic 2 ERROR divide 14 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8-x = 5-14x strategic 3 BUG add -8 To remove -8 from the left side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8-x = 5-14x strategic 4 OK add 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = 13-14x strategic 1 ERROR divide 14 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = 13-14x strategic 2 ERROR add 13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:26.0 HINT HINT ES_05 ES_05-5 EG60 -x = 13-14x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move -14x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:31.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract -14x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = 13-14x strategic 4 ERROR subtract 14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -x = 13-14x strategic 5 OK subtract -14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:26:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 13x = 13 strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y+9 = 5+9y strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = 5+6y strategic 1 BUG subtract 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = 5+6y strategic 2 ERROR subtract -9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = 5+6y strategic 3 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4 = 6y strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+(-4y) = 7y+(-9) strategic 1 OK rds 1+(-4y) = 7y+(-9) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:27:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1-4y = 7y-9 strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1-4y = 7y-9 strategic 2 OK add 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = 11y-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 10 = 11y strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y+0 = 5+(-5y) strategic 1 OK rds 7y+0 = 5+(-5y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y+0 = 5-5y strategic 1 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 5-12y strategic 1 BUG add 5 Since 5 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 5 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 5-12y strategic 2 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5 = -12y strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:28:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x+0 = 7+2x strategic 1 OK subtract -7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:29:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = 7+9x strategic 1 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:29:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:29:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+(-8) = -8x+2 strategic 1 ERROR distribute -5x+(-8) = -8x+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:29:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+(-8) = -8x+2 strategic 2 OK rds -5x+(-8) = -8x+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 1 ERROR add -5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:16.0 HINT HINT ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:17.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 3 ERROR subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:28.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 8x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 4 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x right 1 ERROR right 2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:30:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x left 1 OK left -5x-8+8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x right 2 OK right -8x+2+8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x strategic 1 OK clt -5x-8+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR -13x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:31:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK -5x+8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5x+8x+(-8) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8 = -8x+2+8x strategic 1 OK clt -8x+2+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 BUG +2 +2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8 = -8x+2+8x strategic 2 OK clt -5x+8x-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG  5x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 3 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 BUG  5x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:32:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK 8x-5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 8x-5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 8x-5x+(-8) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:20.0 HINT HINT ES_05 ES_05-6 EG60 8x-5x-8 = -8x+2+8x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8x-5x-8 = -8x+2+8x strategic 2 OK clt 8x-5x-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+(-8) = -8x+2 strategic 3 OK rds -5x+(-8) = -8x+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:51.0 HINT HINT ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:33:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 6 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x left 2 ERROR left -5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:13.0 HINT HINT ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:14.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Move 8x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:17.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add 8x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 8 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x right 3 OK right -8x+2+8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x left 3 OK left -5x-8+8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:41.0 HINT HINT ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+8x = -8x+2+8x strategic 3 OK clt -5x-8+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 4 BUG -8 -8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 5 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:34:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -8*1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 5 ERROR -5x+8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 6 OK -5x+8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -5x+8x+(-8*1) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8*1 = -8x+2+8x strategic 1 OK unnec-elems -5x+8x-8*1=-8x+2+8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8*1 = -8x+2+8x strategic 2 OK clt -8x+2+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 6 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 4 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:35:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 7 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 8 OK -8x+8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -8x+8x+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8*1 = -8x+8x+2 strategic 1 OK mt 8*1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 8 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:34.0 HINT HINT ES_05 ES_05-6 EG60 -5x+8x-8 = -8x+8x+2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:35.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 8 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+8x-8 = -8x+8x+2 strategic 2 OK clt -5x+8x-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 8 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 7 OK +8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session95 2007-04-19 21:36:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 7 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:41:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x+(-8) = -8x+2 strategic 1 OK rds -5x+(-8) = -8x+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:42:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 1 ERROR add -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:42:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 2 ERROR add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:42:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 3 OK add 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:42:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 4 ERROR subtract 8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:42:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8 = -8x+2 strategic 5 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+5x = -8x+2+5x left 1 ERROR left 8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+5x = -8x+2+5x left 2 OK left -5x-8+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+5x = -8x+2+5x right 1 OK right -8x+2+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-8+5x = -8x+2+5x strategic 1 OK clt -5x-8+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 0x+-8x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:52.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 3 INITIAL_HINT 0x+-8x Above, you have [0]+[-8]. Enter -8 as your result. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:43:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -8x+2+5x strategic 1 OK clt -8x+2+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -8x+2+5x strategic 2 OK clt -8x+2+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK -8x+5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -8x+5x+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -8x+5x+2 strategic 1 OK clt -8x+5x+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 3 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 OK -8x+5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:44:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK -8x+5x+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -8x+5x+2 strategic 2 ERROR mt -8 = -8x+5x+2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -8x+5x+2 strategic 3 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-2 = -8x+5x+2-2 right 1 OK right -8x+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-2 = -8x+5x left 1 OK left -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10 = -8x+5x strategic 1 BUG subtract -8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:45:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10 = -8x+5x strategic 2 OK clt -8x+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK -3x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10/-3 = -3x/-3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10/-3 = x left 1 OK left 3.3333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:34.0 HINT HINT ES_05 ES_05-6 EG60 3.33333333 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:41.0 HINT HINT ES_05 ES_05-6 EG60 3.33333333 = x strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:46:42.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1 = 0+5y strategic 1 OK subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 0+5y-6y left 1 BUG left 6y+1+6y 6y+1+6y is equal to 6y+1 plus 6y. You need to calculate 6y+1 minus 6y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 0+5y-6y left 2 OK left 6y+1-6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 0+5y-6y right 1 ERROR right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 0+5y-6y right 2 OK right 0+5y-6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 0+5y-6y strategic 1 OK unnec-elems 6y+1-6y=0+5y-6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y+1-6y = 5y-6y strategic 1 OK clt 6y+1-6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK 6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 BUG y y
Perhaps you should fill in all the y terms above. BUG condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK 6y-6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 6y-6y+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:47:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-6y+1 = 5y-6y strategic 1 OK clt 5y-6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK -1y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-6y+1 = -y strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1 from both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-6y+1 = -y strategic 2 BUG subtract 1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6y-6y+1 = -y strategic 3 OK clt 6y-6y+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK 6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -y strategic 1 ERROR divide y condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 1 BUG right y y is equal to 1 times y. You need to calculate 1 divided by y. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:48:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 2 BUG right 1y 1y is equal to 1 times y. You need to calculate 1 divided by y. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 3 BUG right 1 You are dividing a negative by a positive. The result should be negative. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 4 BUG right -y You haven't performed any operations. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y left 1 BUG left 1 You haven't performed any operations. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:18.0 HINT HINT ES_05 ES_05-6 EG60 1/y = -y/y strategic 1 INITIAL_HINT condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 1/y on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y left 2 OK left 1/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 5 BUG right y/y You are dividing a negative by a positive. The result should be negative. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/y = -y/y right 6 OK right -y/y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -y strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -y strategic 3 BUG divide -y Dividing anything by itself will leave 1. If you divide -y by -1, y will be left. Erase your last step and then divide by -1. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -y strategic 4 BUG divide -y Dividing anything by itself will leave 1. If you divide -y by -1, y will be left. Erase your last step and then divide by -1. BUG condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:49:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -y strategic 5 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-1 = -y/-1 right 1 OK right y condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-1 = y left 1 ERROR left 0 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-1 = y left 2 BUG left 1 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-1 = y left 3 ERROR left 0 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-1 = y left 4 OK left -1 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2+(-6y) strategic 1 OK rds 0+2y = 2+(-6y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2-6y strategic 1 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:50:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y-2y = 2-6y-2y left 1 OK left 0+2y-2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y-2y = 2-6y-2y right 1 OK right 2-6y-2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y-2y = 2-6y-2y strategic 1 OK unnec-elems 0+2y-2y=2-6y-2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = 2-6y-2y strategic 1 OK clt 2y-2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 2y-2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = 2-6y-2y strategic 2 OK clt 2-6y-2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  6y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG 2 2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 2, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -6y-2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -6y-2y+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 1 OK clt 2y-2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:51:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 2 BUG add 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 3 OK clt 2y-2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 2y-2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 4 OK clt -6y-2y+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 ERROR 4y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 OK -6y-2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK -6y-2y+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 5 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:52:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y-2 = -6y-2y+2-2 right 1 OK right -6y-2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y-2 = -6y-2y left 1 ERROR left y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y-2 = -6y-2y left 2 ERROR left -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y-2 = -6y-2y left 3 ERROR left 2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 6 BUG subtract 6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 7 BUG add 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y-2y = -6y-2y+2 strategic 8 OK clt 2y-2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK 0y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y = -6y-2y+2 strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:53:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y+2-2 left 1 ERROR left 2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y+2-2 right 1 ERROR right -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y+2-2 right 2 OK right -6y-2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y left 1 BUG left -2 Just subtract 2 from 0y. You can simplify in the next step. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y left 2 ERROR left -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y left 3 BUG left 2 2 is equal to 0y plus 2. You need to calculate 0y minus 2. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y-2 = -6y-2y left 4 ERROR left 2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y = -6y-2y+2 strategic 2 OK clt -6y-2y+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 3 BUG  2y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 4 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:54:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 ERROR 4y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 BUG 4y 4y
Perhaps you should fill in all the y terms above. BUG condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y = -6y-2y+2 strategic 3 OK add 0 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y+(-0y) = -6y-2y+2+(-0y) left 1 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2+(-6y) strategic 2 OK rds 0+2y = 2+(-6y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2-6y strategic 2 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:55:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y+6y = 2-6y+6y left 1 OK left 2y+6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:56:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 2-6y+6y right 1 OK right 2-6y+6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:56:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 2-6y+6y strategic 1 BUG subtract 6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:56:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 2-6y+6y strategic 2 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:56:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 2-6y+6y strategic 3 OK clt 2-6y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:56:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 5 BUG  6y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 6 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 5 OK +6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 5 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 6 OK 0y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 OK 0y+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 0y+2 strategic 1 OK clt 2y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK 8y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 1 ERROR clt 8y = 0y+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 2 BUG subtract 2 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 3 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 7 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 12 ERROR y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:57:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 13 OK 0y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 4 BUG subtract 8 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 5 ERROR clt 8y = 0y+2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 6 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 2 ERROR y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 3 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 8 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 8 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:31.0 HINT HINT ES_05 ES_05-6 EG60 constant factorsR2 strategic 2 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 3 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:34.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 14 INITIAL_HINT Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 15 ERROR 1y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 16 OK 0y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:51.0 HINT HINT ES_05 ES_05-6 EG60 8y = 0y+2 strategic 7 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:58:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 8 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 9 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 4 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 9 ERROR 1 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 10 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 17 BUG y y
Perhaps you should fill in all the constant factors above. BUG condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 4 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 9 BUG subtract 2 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 09:59:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 0y+2 strategic 10 OK subtract 0 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-0y = 0y+2-0y right 1 ERROR right 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-0y = 0y+2-0y left 1 OK left 8y-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-0y = 0y+2-0y right 2 OK right 0y+2-0y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-0y = 0y+2-0y strategic 1 OK clt 8y-0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y1R1 strategic 1 BUG 8y 8y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 8y, is not one of the 0y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 10 OK 8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y1R1 strategic 2 OK -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 1 ERROR y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 2 OK -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 11 OK 8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 18 OK -0y+8y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0y+8y = 0y+2-0y strategic 1 OK unnec-elems -0y+8y=0y+2-0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0y+8y = 0y+2-0y strategic 2 OK clt 0y+2-0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y1R1 strategic 3 OK 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 11 BUG +2 +2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 12 BUG  0y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 13 OK -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:00:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 3 ERROR y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0yR2 strategic 4 OK 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 12 OK -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 4 OK 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 19 ERROR 2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 20 OK 2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0y+8y = 2 strategic 1 OK mt -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 5 ERROR -0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 14 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 01R1 strategic 1 OK -0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 5 BUG 0 0
Perhaps you should fill in all the constant factors above. BUG condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 6 BUG 1 1
Perhaps you should fill in all the constant factors above. BUG condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0R2 strategic 1 OK 0y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 13 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 21 OK 0y*y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:01:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 1 ERROR clt 0y*y+8y = 2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 2 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 3 BUG subtract 0 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 4 BUG subtract 8 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 5 OK mt 0y*y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 6 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 15 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 6 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 14 BUG y y
Instead of multiplying the exponents, you need to add them. BUG condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 7 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 15 ERROR y+y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 16 OK yy condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 22 ERROR yy condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 23 ERROR y*y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 24 ERROR 0+y*y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:02:57.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 25 INITIAL_HINT 0+y*y Above, you have [0]*[yy]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:03:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 26 OK 0y*y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:03:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 6 ERROR clt 0y*y+8y = 2 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:03:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 7 BUG subtract y Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:03:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0y*y+8y = 2 strategic 8 BUG add y Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:03:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2+(-6y) strategic 3 OK rds 0+2y = 2+(-6y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:01.0 HINT HINT ES_05 ES_05-6 EG60 0+2y = 2-6y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+2y = 2-6y strategic 4 OK clt 0+2y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 7 BUG +2y +2y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2y, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 16 OK +2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 8 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 17 OK 2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 27 OK 2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:19.0 HINT HINT ES_05 ES_05-6 EG60 2y = 2-6y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -6y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y = 2-6y strategic 2 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2y+6y = 2-6y+6y left 1 OK left 8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 2-6y+6y right 1 ERROR right 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 2-6y+6y right 2 OK right 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y = 2 strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:04:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y/8 = 2/8 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 2/8 right 1 ERROR right 0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 2/8 right 2 OK right 0.25 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x = -2x+9 strategic 1 ERROR clt -2+3x = -2x+9 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:32.0 HINT HINT ES_05 ES_05-6 EG60 -2+3x = -2x+9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x = -2x+9 strategic 3 OK subtract 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x left 1 ERROR left -1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:05:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x left 2 ERROR left 3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x right 1 ERROR right 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x right 2 ERROR right 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x right 3 OK right -2x+9-2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x left 3 OK left -2+3x-2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x-2x = -2x+9-2x strategic 1 OK clt -2+3x-2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK +3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 1x+(-2) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2 = -2x+9-2x strategic 1 OK clt -2x+9-2x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:06:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 BUG  2x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 3 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK +9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 3 ERROR -x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 4 OK -4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -4x+9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2 = -4x+9 strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x+9-9 right 1 OK right -4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x left 1 ERROR left -7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x left 2 ERROR left -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:55.0 HINT HINT ES_05 ES_05-6 EG60 x-2-9 = -4x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:07:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in x-2-9 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x left 3 ERROR left -10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x left 4 ERROR left -10x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x left 5 OK left x-2-9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-2-9 = -4x strategic 2 OK clt x-2-9 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 ERROR -7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 5 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 4 OK -11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:08:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK x+-11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 1 ERROR add 11 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+11 = -4x+11 left 1 OK left x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -4x+11 right 1 ERROR right 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -4x+11 right 2 OK right -4x+11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -4x+11 strategic 1 ERROR clt x = -4x+11 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 2 BUG divide -4 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 3 ERROR add -4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:09:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 4 ERROR add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 5 ERROR add 4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:04.0 HINT HINT ES_05 ES_05-6 EG60 x-11 = -4x strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 4x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11 = -4x strategic 7 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+4x = -4x+4x right 1 ERROR right x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+4x = -4x+4x right 2 OK right 0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+4x = 0x left 1 ERROR left 15 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+4x = 0x left 2 OK left x-11+4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x-11+4x = 0x strategic 1 OK clt x-11+4x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 4 BUG -11 -11
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -11, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 5 OK +4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 4 OK -11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 5 OK -11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:10:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 6 OK x+4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK x+4x+-11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+4x-11 = 0x strategic 1 BUG subtract 4x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x+4x-11 = 0x strategic 2 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:35.0 HINT HINT ES_05 ES_05-6 EG60 -2+3x = -2x+9 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:36.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:40.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Add 2x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x = -2x+9 strategic 5 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:11:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x left 1 ERROR left 3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x left 2 ERROR left -3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x left 3 BUG left -2+3x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x right 1 ERROR right 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x left 4 OK left -2+3x+2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x right 2 ERROR right -2x+2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x right 3 OK right -2x+9+2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+3x+2x = -2x+9+2x strategic 1 OK clt -2+3x+2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 6 OK +2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 OK +3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:12:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 5 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 7 OK 5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 6 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR 5x+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 5x+(-2) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = -2x+9+2x strategic 1 OK clt -2x+9+2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 7 OK +2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 6 OK +9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 7 OK 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 8 ERROR x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 9 OK 0x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 ERROR 9x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:13:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK 0x+9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 0x+9 strategic 1 BUG add 5x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 0x+9 strategic 2 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 8 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 2 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 10 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 OK 0*x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:25.0 HINT HINT ES_05 ES_05-6 EG60 5x-2 = 0x+9 strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:26.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 0x+9 strategic 4 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 3 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 9 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 2 ERROR 1 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 3 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 BUG x x
Perhaps you should fill in all the x factors above. BUG condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 11 OK 0x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2 = 0x+9 strategic 5 OK add 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:14:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-2+2 = 0x+9+2 left 1 OK left 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+9+2 right 1 BUG right 11 Just add 0x+9 to 2. You can simplify in the next step. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+9+2 right 2 ERROR right 11x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+9+2 right 3 OK right 0x+9+2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+9+2 strategic 1 OK clt 0x+9+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 10 OK 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 7 OK +9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 11 ERROR x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 8 OK 11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 12 OK 0x+11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 1 ERROR clt 5x = 0x+11 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:15:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 2 BUG subtract 11 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 3 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 11 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factors1R1 strategic 4 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 12 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant factorsR2 strategic 4 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 13 OK 0x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 4 BUG divide 5x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 5 ERROR rf 5x = 0x+11 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 6 BUG subtract 11 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 0x+11 strategic 7 OK subtract 0 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-0x = 0x+11-0x right 1 OK right 11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x-0x = 11 left 1 OK left 5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:16:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 11 strategic 1 BUG divide 5x Dividing anything by itself will leave 1. If you divide 5x by 5, x will be left. Erase your last step and then divide by 5. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = 11 strategic 2 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x/5 = 11/5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 11/5 right 1 OK right 2.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+(-4x) = 8x+(-8) strategic 1 OK rds -4+(-4x) = 8x+(-8) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-4x = 8x-8 strategic 1 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-4x+4x = 8x-8+4x left 1 ERROR left x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:17:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-4x+4x = 8x-8+4x left 2 ERROR left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-4x+4x = 8x-8+4x left 3 BUG left 4 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-4x+4x = 8x-8+4x left 4 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x-8+4x right 1 ERROR right 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x-8+4x right 2 ERROR right -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x-8+4x right 3 ERROR right 8x-8+4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x-8+4x right 4 OK right 8x-8+4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x-8+4x strategic 1 OK clt 8x-8+4x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:18:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 8x+4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:19:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 8x+4x+(-8) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:19:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 8x+4x-8 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:19:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+8 = 8x+4x-8+8 right 1 BUG right 12x Just add 8x+4x-8 to 8. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:19:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+8 = 8x+4x-8+8 left 1 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+4x-8+8 right 1 BUG right -12x The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+4x-8+8 right 2 BUG right 12x Just add 8x+4x-8 to 8. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+4x-8+8 right 3 BUG right 8x+4x-8 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+4x-8+8 right 4 OK right 8x+4x-8+8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 8x+4x-8+8 strategic 1 OK clt 8x+4x-8+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK 8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 12x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK 12x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 12x strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:20:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4/12 = 12x/12 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4/12 = x left 1 OK left 0.3333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+(-8y) = 4+6y strategic 1 OK rds -9+(-8y) = 4+6y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-8y = 4+6y strategic 1 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-8y+8y = 4+6y+8y left 1 OK left -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 4+6y+8y right 1 OK right 4+6y+8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 4+6y+8y strategic 1 OK clt 4+6y+8y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 14y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:21:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 14y+4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 14y+4 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-4 = 14y+4-4 right 1 OK right 14y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-4 = 14y left 1 OK left -13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13 = 14y strategic 1 OK divide 14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13/14 = 14y/14 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13/14 = y left 1 BUG left 0.9285 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:22:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -13/14 = y left 2 OK left -0.9285 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:23:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+(-9) = -7x+3 strategic 1 OK rds -3x+(-9) = -7x+3 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9 = -7x+3 strategic 1 OK subtract -7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:24:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9-(-7x) = -7x+3-(-7x) left 1 ERROR left -19 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:24:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9-(-7x) = -7x+3-(-7x) left 2 ERROR left -19x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:24:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9 = -7x+3 strategic 2 ERROR add -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:03.0 HINT HINT ES_05 ES_05-6 EG60 -3x-9 = -7x+3 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 7x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9 = -7x+3 strategic 4 OK add 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = -7x+3+7x left 1 ERROR left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = -7x+3+7x left 2 OK left -3x-9+7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = -7x+3+7x right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = 3 strategic 1 OK clt -3x-9+7x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:25:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:26:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR 4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session96 2007-04-20 10:26:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = 3 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = 3 strategic 2 BUG subtract -3 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x-9+7x = 3 strategic 3 OK clt -3x-9+7x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:05:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 4x+(-9) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9 = 3 strategic 1 BUG divide 9 You want to isolate 4x by removing -9 from the left side. 9 is subtracted from 4x. What is the opposite of subtraction? BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9 = 3 strategic 2 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-9+9 = 3+9 left 1 OK left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 3+9 right 1 OK right 12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 12 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:06:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x/4 = 12/4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:07:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 12/4 right 1 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:07:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+(-7y) = -3+(-1y) strategic 1 OK rds -2+(-7y) = -3+(-1y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:07:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y = -3-1y strategic 1 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:07:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y = -3-1y strategic 2 OK add 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-1y+2 right 1 BUG right -3-1y You haven't performed any operations. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-1y+2 left 1 ERROR left 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-1y+2 right 2 OK right -3-1y+2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-1y+2 left 2 OK left -2-7y+2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-1y+2 strategic 1 OK unnec-elems -2-7y+2=-3-1y+2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-7y+2 = -3-y+2 strategic 1 OK clt -2-7y+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  7y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:08:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -7y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = -3-y+2 strategic 1 OK clt -3-y+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -1y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -y+-1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = -y-1 strategic 1 ERROR add -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = -y-1 strategic 2 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = -y-1 strategic 3 OK add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -y-1+y right 1 BUG right 1 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:09:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -y-1+y right 2 OK right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -1 left 1 BUG left -7y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -1 left 2 OK left -7y+y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -1 strategic 1 BUG subtract y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y+y = -1 strategic 2 OK clt -7y+y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -7y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:32.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT -7y In the group above, -7y and y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:34.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-7y]+[y] are -7 and 1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -7y and y results in -6y HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK -6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y = -1 strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:10:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y/-6 = -1/-6 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:11:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -1/-6 right 1 ERROR right -7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:11:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -1/-6 right 2 OK right 0.16666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:11:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+7 = -9+(-2x) strategic 1 OK rds 5x+7 = -9+(-2x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:11:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+7 = -9-2x strategic 1 ERROR clt 5x+7 = -9-2x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+7 = -9-2x strategic 2 OK subtract 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+7-7 = -9-2x-7 left 1 OK left 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -9-2x-7 right 1 ERROR right -18x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -9-2x-7 right 2 OK right -9-2x-7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -9-2x-7 strategic 1 OK clt -9-2x-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG -2x -2x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2x, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:12:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -16 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2x-16 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 1 ERROR clt 5x = -2x-16 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 2 ERROR add 16 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 3 ERROR add -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:48.0 HINT HINT ES_05 ES_05-6 EG60 5x = -2x-16 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:50.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:13:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 5 ERROR add 2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 6 ERROR add -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 2x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 7 ERROR add x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x = -2x-16 strategic 8 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+2x = -2x-16+2x right 1 BUG right 16 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+2x = -2x-16+2x right 2 OK right -16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5x+2x = -16 left 1 OK left 7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = -16 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x/7 = -16/7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:14:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -16/7 right 1 OK right -2.2857 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+10y = -5+(-2y) strategic 1 OK rds 3+10y = -5+(-2y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+10y = -5-2y strategic 1 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+10y-3 = -5-2y-3 left 1 OK left 10y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = -5-2y-3 right 1 OK right -5-2y-3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = -5-2y-3 strategic 1 OK clt -5-2y-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:15:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 ERROR 10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2y+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y = -2y-8 strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y+2y = -2y-8+2y right 1 BUG right 8 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y+2y = -2y-8+2y right 2 OK right -8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10y+2y = -8 left 1 OK left 12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y = -8 strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:16:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12y/12 = -8/12 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -8/12 right 1 OK right -0.6666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+2 = 9+1x strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+2-2 = 9+1x-2 left 1 OK left 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9+1x-2 right 1 OK right 9+1x-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9+1x-2 strategic 1 OK unnec-elems 4x=9+1x-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = 9+x-2 strategic 1 OK clt 9+x-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK +x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 7x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:17:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK x+7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x = x+7 strategic 1 OK subtract x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-x = x+7-x right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-x = 7 left 1 BUG left 4x You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-x = 7 left 2 OK left 4x-x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-x = 7 strategic 1 BUG add 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:32.0 HINT HINT ES_05 ES_05-6 EG60 4x-x = 7 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-x = 7 strategic 3 OK clt 4x-x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:47.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 4x In the group above, 4x and -x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [4x]+[-x] are 4 and -1. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms 4x and -x results in 3x HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 3x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:18:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x = 7 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x/3 = 7/3 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 7/3 right 1 OK right 2.3333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+7x = 4+5x strategic 1 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+7x-3 = 4+5x-3 left 1 OK left 7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 4+5x-3 right 1 OK right 4+5x-3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 4+5x-3 strategic 1 OK clt 4+5x-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:19:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 5x+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:20:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 5x+1 strategic 1 ERROR subtract 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 5x+1 strategic 2 ERROR clt 7x = 5x+1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 5x+1 strategic 3 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:36.0 HINT HINT ES_05 ES_05-6 EG60 7x = 5x+1 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x = 5x+1 strategic 5 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7x-5x = 5x+1-5x left 1 OK left 2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x = 5x+1-5x right 1 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:21:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x = 1 strategic 1 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x = 1 strategic 2 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x/2 = 1/2 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 1/2 right 1 OK right 0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y+(-4) = -7+3y strategic 1 OK rds -4y+(-4) = -7+3y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-4 = -7+3y strategic 1 OK add 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-4+4 = -7+3y+4 left 1 OK left -4y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = -7+3y+4 right 1 OK right -7+3y+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:22:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = -7+3y+4 strategic 1 OK clt -7+3y+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 3y+y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 3y+3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:39.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 3y+3 Above, you have [3y]+[-3]. Enter 3y-3 as your result. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 3y+-3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:23:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 3y-3 strategic 1 ERROR add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 3y-3 strategic 2 ERROR add 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:05.0 HINT HINT ES_05 ES_05-6 EG60 -4y = 3y-3 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 3y-3 strategic 4 ERROR add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y = 3y-3 strategic 5 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-3y = 3y-3-3y right 1 BUG right 3 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-3y = 3y-3-3y right 2 OK right -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-3y = -3 left 1 ERROR left 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-3y = -3 left 2 BUG left -1y -1y is equal to -4y plus 3y. You need to calculate -4y minus 3y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4y-3y = -3 left 3 OK left -7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y = -3 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:24:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7y/-7 = -3/-7 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:25:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -3/-7 right 1 ERROR right -10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:25:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -3/-7 right 2 OK right 0.4285 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:26:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+(-9y) = -8+7y strategic 1 OK rds -8+(-9y) = -8+7y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:26:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y = -8+7y strategic 1 BUG add -8 To remove -8 from the left side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:26:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y = -8+7y strategic 2 OK add 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:26:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y+8 = -8+7y+8 left 1 BUG left 9y You forgot the negative sign. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:26:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y+8 = -8+7y+8 left 2 OK left -9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -8+7y+8 right 1 OK right 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = 7y strategic 1 BUG divide 9 In this equation, y is multiplied by -9. Dividing by 9 leaves -y, so you still need to remove the negative sign. It is better to divide by -9, since that would leave y. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y = -8+7y strategic 3 OK add 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y+8 = -8+7y+8 left 3 BUG left 9y You forgot the negative sign. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-9y+8 = -8+7y+8 left 4 OK left -9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -8+7y+8 right 2 OK right 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:50.0 HINT HINT ES_05 ES_05-6 EG60 -9y = 7y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:27:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:06.0 HINT HINT ES_05 ES_05-6 EG60 -9y = 7y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 7y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = 7y strategic 4 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-7y = 7y-7y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-7y = 7y-7y right 2 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-7y = 0 left 1 BUG left 16y You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y-7y = 0 left 2 OK left -16y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -16y = 0 strategic 1 BUG divide 16 In this equation, y is multiplied by -16. Dividing by 16 leaves -y, so you still need to remove the negative sign. It is better to divide by -16, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -16y = 0 strategic 2 OK divide -16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -16y/-16 = 0/-16 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:28:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 0/-16 right 1 OK right 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+4 = -6y+3 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+4 = -6y+3 strategic 2 OK subtract 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+4-4 = -6y+3-4 left 1 OK left -9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -6y+3-4 right 1 OK right -6y+3-4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -6y+3-4 strategic 1 OK clt -6y+3-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  6y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:30:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:31:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:31:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:31:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:31:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -6y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:31:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -6y+-1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -6y-1 strategic 1 ERROR subtract 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y = -6y-1 strategic 2 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+6y = -6y-1+6y right 1 OK right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+6y = -1 left 1 OK left -3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y = -1 strategic 1 BUG divide 3 In this equation, y is multiplied by -3. Dividing by 3 leaves -y, so you still need to remove the negative sign. It is better to divide by -3, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y = -1 strategic 2 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:32:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y/-3 = -1/-3 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:33:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -1/-3 right 1 OK right 0.3333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:35:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.42x+1.25 = 3.74x+2.85 strategic 1 OK subtract 1.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.42x = 3.74x+1.6 strategic 1 ERROR clt -9.42x = 3.74x+1.6 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.42x = 3.74x+1.6 strategic 2 ERROR subtract 1.6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:18.0 HINT HINT ES_05 ES_05-7 EG61 -9.42x = 3.74x+1.6 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:19.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.74x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.42x = 3.74x+1.6 strategic 4 OK subtract 3.74x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -13.16x = 1.6 strategic 1 OK divide -13.16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:36:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.31+9.16y = -6.99y+(-7.47) strategic 1 OK rds -9.31+9.16y = -6.99y+(-7.47) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:37:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.31+9.16y = -6.99y-7.47 strategic 1 BUG add -9.31 To remove -9.31 from the left side, you can add a positive to it. Erase your last step and add 9.31 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:37:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.31+9.16y = -6.99y-7.47 strategic 2 OK subtract -9.31 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:37:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.16y = -6.99y+1.84 strategic 1 ERROR subtract 1.84 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:37:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.16y = -6.99y+1.84 strategic 2 OK subtract -6.99y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:37:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 16.15y = 1.84 strategic 1 OK divide 16.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.85x+0.81 = 6.45x+9.07 strategic 1 OK subtract 0.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.85x = 6.45x+8.26 strategic 1 OK subtract 6.45x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x = 8.26 strategic 1 OK divide -0.6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.9y+0.06 = 4.52+(-1.53y) strategic 1 OK rds -5.9y+0.06 = 4.52+(-1.53y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.9y+0.06 = 4.52-1.53y strategic 1 OK subtract 0.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:38:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.9y = 4.46-1.53y strategic 1 OK add 1.53y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.37y = 4.46 strategic 1 ERROR divide -7.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.37y = 4.46 strategic 2 BUG divide 4.37 In this equation, y is multiplied by -4.37. Dividing by 4.37 leaves -y, so you still need to remove the negative sign. It is better to divide by -4.37, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.37y = 4.46 strategic 3 BUG divide -4.37y Dividing anything by itself will leave 1. If you divide -4.37y by -4.37, y will be left. Erase your last step and then divide by -4.37. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.37y = 4.46 strategic 4 OK divide -4.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.26+(-2.2y) = -2.38y+6.75 strategic 1 OK rds 2.26+(-2.2y) = -2.38y+6.75 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:39:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.26-2.2y = -2.38y+6.75 strategic 1 BUG add 2.26 Since 2.26 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 2.26 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.26-2.2y = -2.38y+6.75 strategic 2 OK subtract 2.26 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.2y = -2.38y+4.49 strategic 1 ERROR add -2.38y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.2y = -2.38y+4.49 strategic 2 ERROR add -2.87y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:26.0 HINT HINT ES_05 ES_05-7 EG61 -2.2y = -2.38y+4.49 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:27.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -2.38y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:38.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.2y = -2.38y+4.49 strategic 4 OK subtract -2.38y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:40:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.18y = 4.49 strategic 1 OK divide 0.18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:41:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.84x+(-9.43) = 5.74x+(-5.27) strategic 1 OK rds 7.84x+(-9.43) = 5.74x+(-5.27) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:41:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.84x-9.43 = 5.74x-5.27 strategic 1 OK add 9.43 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:41:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.84x = 5.74x+4.16 strategic 1 ERROR subtract 5.74 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:41:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.84x = 5.74x+4.16 strategic 2 OK subtract 5.74x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:41:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.1x = 4.16 strategic 1 OK divide 2.1 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:42:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.07y+6.26 = 5.09y+2.36 strategic 1 OK subtract 6.26 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:42:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.07y = 5.09y-3.9 strategic 1 ERROR add 5.09y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:42:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.07y = 5.09y-3.9 strategic 2 ERROR add 5.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:42:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.07y = 5.09y-3.9 strategic 3 ERROR add 5.09y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:43:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.07y = 5.09y-3.9 strategic 4 OK subtract 5.09y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:43:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.16y = -3.9 strategic 1 OK divide -7.16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:43:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.39+(-9.5y) = 3.5+3.27y strategic 1 OK rds 6.39+(-9.5y) = 3.5+3.27y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:43:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.39-9.5y = 3.5+3.27y strategic 1 BUG add 6.39 Since 6.39 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6.39 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:43:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.39-9.5y = 3.5+3.27y strategic 2 OK subtract 6.39 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:44:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.5y = -2.89+3.27y strategic 1 OK subtract 3.27y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:44:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.77y = -2.89 strategic 1 OK divide -12.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:44:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25x+5.67 = 1.22+5.47x strategic 1 OK subtract 5.67 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:44:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25x = -4.45+5.47x strategic 1 OK subtract 5.47x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:44:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.72x = -4.45 strategic 1 OK divide -10.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:45:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.29x+1.66 = 2.72x+1.61 strategic 1 OK subtract 1.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:45:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.29x = 2.72x-0.05 strategic 1 ERROR add 2.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:45:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.29x = 2.72x-0.05 strategic 2 ERROR add 2.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:45:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.29x = 2.72x-0.05 strategic 3 OK subtract 2.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:45:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.01x = -0.05 strategic 1 OK divide -12.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:46:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.4+0.12x = 9.81x+(-4.25) strategic 1 OK rds 7.4+0.12x = 9.81x+(-4.25) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:46:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.4+0.12x = 9.81x-4.25 strategic 1 OK subtract 7.4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:46:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.12x = 9.81x-11.65 strategic 1 ERROR add 9.81x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:47:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.12x = 9.81x-11.65 strategic 2 OK subtract 9.81x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:47:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.69x = -11.65 strategic 1 OK divide -9.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:47:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.94+(-1.47x) = 9.11x+5.76 strategic 1 OK rds 1.94+(-1.47x) = 9.11x+5.76 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:47:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.94-1.47x = 9.11x+5.76 strategic 1 BUG add 1.94 Since 1.94 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1.94 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:48:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.94-1.47x = 9.11x+5.76 strategic 2 OK subtract 1.94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:48:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.47x = 9.11x+3.82 strategic 1 OK subtract 9.11x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:48:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.58x = 3.82 strategic 1 OK divide -10.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:48:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.79x+(-7.71) = -1.97x+(-9.44) strategic 1 OK rds -0.79x+(-7.71) = -1.97x+(-9.44) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:48:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.79x-7.71 = -1.97x-9.44 strategic 1 OK add 7.71 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:49:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.79x = -1.97x-1.73 strategic 1 ERROR add -1.97x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:49:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.79x = -1.97x-1.73 strategic 2 OK subtract -1.97x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:49:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.18x = -1.73 strategic 1 OK divide 1.18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:49:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25y+4.33 = -3.97+(-0.44y) strategic 1 OK rds -5.25y+4.33 = -3.97+(-0.44y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:49:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25y+4.33 = -3.97-0.44y strategic 1 BUG add 4.33 Since 4.33 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4.33 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:50:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25y+4.33 = -3.97-0.44y strategic 2 OK subtract 4.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:50:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.25y = -8.3-0.44y strategic 1 OK add 0.44y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:50:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.81y = -8.3 strategic 1 OK divide -4.81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:50:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.86+5.72x = 0.98+9.41x strategic 1 OK subtract 8.86 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:50:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.72x = -7.88+9.41x strategic 1 OK subtract 9.41x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:51:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.69x = -7.88 strategic 1 OK divide -3.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:51:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.82+7.2x = 1.34x+(-1.19) strategic 1 OK rds -3.82+7.2x = 1.34x+(-1.19) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:51:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.82+7.2x = 1.34x-1.19 strategic 1 BUG add -3.82 To remove -3.82 from the left side, you can add a positive to it. Erase your last step and add 3.82 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:51:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.82+7.2x = 1.34x-1.19 strategic 2 BUG add -3.82 To remove -3.82 from the left side, you can add a positive to it. Erase your last step and add 3.82 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:51:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.82+7.2x = 1.34x-1.19 strategic 3 OK add 3.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:52:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.82+7.2x+3.82 = 1.34x-1.19+3.82 left 1 OK left 7.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:52:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.2x = 1.34x-1.19+3.82 right 1 OK right 1.34x-1.19+3.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.2x = 1.34x-1.19+3.82 strategic 1 OK clt 1.34x-1.19+3.82 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK 1.34x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -1.19 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +3.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK 1.34x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 2.63 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR 1.34+2.63 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:53:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK 1.34x+2.63 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:54:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.2x = 1.34x+2.63 strategic 1 OK subtract 1.34x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:54:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.2x-1.34x = 1.34x+2.63-1.34x right 1 OK right 2.63 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:54:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.2x-1.34x = 2.63 left 1 OK left 5.86x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:54:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.86x = 2.63 strategic 1 OK divide 5.86 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:54:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.86x/5.86 = 2.63/5.86 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:55:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 2.63/5.86 right 1 OK right 0.4488 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:55:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77+9.28x = -5.81+(-1.13x) strategic 1 OK rds -4.77+9.28x = -5.81+(-1.13x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:55:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77+9.28x = -5.81-1.13x strategic 1 OK subtract -4.77 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:55:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77+9.28x-(-4.77) = -5.81-1.13x-(-4.77) left 1 OK left 9.28x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x = -5.81-1.13x-(-4.77) right 1 OK right -5.81-1.13x-(-4.77) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x = -5.81-1.13x+4.77 strategic 1 OK clt -5.81-1.13x+4.77 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 BUG  1.13x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 2 OK -1.13x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -5.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +4.77 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -1.13x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -1.04 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:56:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -1.13x+-1.04 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:57:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x = -1.13x-1.04 strategic 1 ERROR add -1.13x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:57:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x = -1.13x-1.04 strategic 2 OK subtract -1.13x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:57:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.13x-1.04-(-1.13x) right 1 OK right -1.04 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:58:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 1 BUG left 8.15x 8.15x is equal to 9.28x plus -1.13x. You need to calculate 9.28x minus -1.13x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:58:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 2 BUG left -8.15x -8.15x is equal to -9.28x minus -1.13x. You need to calculate 9.28x minus -1.13x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session97 2007-04-24 18:58:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 3 BUG left 8.15x 8.15x is equal to 9.28x plus -1.13x. You need to calculate 9.28x minus -1.13x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:40:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 1 ERROR left -10.41 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:40:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 2 BUG left -10.41x The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:40:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.28x-(-1.13x) = -1.04 left 3 OK left 10.41x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:40:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.41x = -1.04 strategic 1 OK divide 10.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:40:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.41x/10.41 = -1.04/10.41 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -1.04/10.41 right 1 BUG right 0.0999 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -1.04/10.41 right 2 OK right -0.0999 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.37+(-5.87y) = 0.28y+7.88 strategic 1 OK rds 4.37+(-5.87y) = 0.28y+7.88 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.37-5.87y = 0.28y+7.88 strategic 1 BUG add 4.37 Since 4.37 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4.37 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.37-5.87y = 0.28y+7.88 strategic 2 OK subtract 4.37 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:41:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.37-5.87y-4.37 = 0.28y+7.88-4.37 left 1 OK left -5.87y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+7.88-4.37 right 1 OK right 0.28y+7.88-4.37 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+7.88-4.37 strategic 1 OK clt 0.28y+7.88-4.37 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 0.28y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -4.37 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +7.88 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 0.28y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 3.51 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 0.28y+3.51 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+3.51 strategic 1 ERROR subtract 0 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:42:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+3.51 strategic 2 ERROR add 0.28y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:00.0 HINT HINT ES_05 ES_05-8 EG61 -5.87y = 0.28y+3.51 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:01.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 0.28y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+3.51 strategic 4 ERROR add 0.28y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:12.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 0.28y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y = 0.28y+3.51 strategic 5 OK subtract 0.28y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y-0.28y = 0.28y+3.51-0.28y right 1 OK right 3.51 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y-0.28y = 3.51 left 1 ERROR left -6.51y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.87y-0.28y = 3.51 left 2 OK left -6.15y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.15y = 3.51 strategic 1 BUG divide 6.15 In this equation, y is multiplied by -6.15. Dividing by 6.15 leaves -y, so you still need to remove the negative sign. It is better to divide by -6.15, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:43:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.15y = 3.51 strategic 2 OK divide -6.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:44:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.15y/-6.15 = 3.51/-6.15 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:44:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 3.51/-6.15 right 1 OK right -0.5707 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:44:44.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.82x+90.57 = 25+44.37x strategic 1 ERROR clt -91.82x+90.57 = 25+44.37x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:44:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.82x+90.57 = 25+44.37x strategic 2 OK subtract 90.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:01.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.82x = -65.57+44.37x strategic 1 ERROR clt -91.82x = -65.57+44.37x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:19.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.82x = -65.57+44.37x strategic 2 ERROR add 65.57 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:22.0 HINT HINT ES_05 ES_05-9 EG62 -91.82x = -65.57+44.37x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:24.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 1 HINT_LEVEL_CHANGE Move 44.37x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -91.82x = -65.57+44.37x strategic 4 OK subtract 44.37x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:39.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -136.19x = -65.57 strategic 1 OK divide -136.193 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:45:47.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -373.24+923.22y = -932.68y+(-4766.77) strategic 1 OK rds -373.24+923.22y = -932.68y+(-4766.77) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:46:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -373.24+923.22y = -932.68y-4766.77 strategic 1 OK add 373.24 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:46:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 923.22y = -932.68y-4393.53 strategic 1 OK add 932.68y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:46:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 1855.9y = -4393.53 strategic 1 OK divide 1855.9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:46:56.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 229y+1065.89 = -343.28y+9763.99 strategic 1 OK subtract 1065.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:47:51.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 229y = -343.28y+8698.1 strategic 1 OK add 343.28y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:48:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 572.28y = 8698.1 strategic 1 OK divide 572.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:48:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7146.66+925.12x = -4657.52+600.61x strategic 1 OK subtract 7146.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:48:49.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 925.12x = -11804.18+600.61x strategic 1 ERROR add 6000.61x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 925.12x = -11804.18+600.61x strategic 2 OK subtract 600.61x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 324.51x = -11804.18 strategic 1 OK divide 324.51 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -2.64+(-0.02x) = -31.62+(-29.84x) strategic 1 OK rds -2.64+(-0.02x) = -31.62+(-29.84x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -2.64-0.02x = -31.62-29.84x strategic 1 BUG subtract 2.64 Since -2.64 is negative, you should add to remove it from the both side. Erase your last step and add 2.64 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -2.64-0.02x = -31.62-29.84x strategic 2 OK add 2.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:47.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -0.02x = -28.98-29.84x strategic 1 OK add 29.84x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:49:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62 29.82x = -28.98 strategic 1 OK divide 29.82 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:50:10.0 CYCLE CYCLE ES_05 ES_05-9 EG62 51.07y+99.29 = 32.35y+57.32 strategic 1 OK subtract 99.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:50:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62 51.07y = 32.35y-41.97 strategic 1 ERROR add 32.35y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:50:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62 51.07y = 32.35y-41.97 strategic 2 OK subtract 32.35y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:50:47.0 CYCLE CYCLE ES_05 ES_05-9 EG62 18.72y = -41.97 strategic 1 OK divide 18.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:50:54.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8870.2+(-786.65y) = -936.34y+(-4862.37) strategic 1 OK rds -8870.2+(-786.65y) = -936.34y+(-4862.37) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:51:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8870.2-786.65y = -936.34y-4862.37 strategic 1 ERROR add 8870 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:51:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8870.2-786.65y = -936.34y-4862.37 strategic 2 OK add 8870.2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -786.65y = -936.34y+4007.83 strategic 1 ERROR subtract 936.34y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:11.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -786.65y = -936.34y+4007.83 strategic 2 OK add 936.34y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 149.69y = 4007.83 strategic 1 OK divide 149.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62 36.6y+59.15 = -70.92y+(-78.71) strategic 1 OK rds 36.6y+59.15 = -70.92y+(-78.71) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:32.0 CYCLE CYCLE ES_05 ES_05-9 EG62 36.6y+59.15 = -70.92y-78.71 strategic 1 OK subtract 59.15 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:46.0 CYCLE CYCLE ES_05 ES_05-9 EG62 36.6y = -70.92y-137.86 strategic 1 OK add 70.92y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:52:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62 107.52y = -137.86 strategic 1 OK divide 107.52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:53:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -79.16y+(-51.85) = -48.82y+14.76 strategic 1 OK rds -79.16y+(-51.85) = -48.82y+14.76 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:53:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -79.16y-51.85 = -48.82y+14.76 strategic 1 BUG subtract 51.85 Since -51.85 is negative, you should add to remove it from the both side. Erase your last step and add 51.85 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:53:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -79.16y-51.85 = -48.82y+14.76 strategic 2 OK add 51.85 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:53:48.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -79.16y = -48.82y+66.61 strategic 1 ERROR subtract 48.82y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:53:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -79.16y = -48.82y+66.61 strategic 2 OK add 48.82y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:54:07.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -30.34y = 66.61 strategic 1 BUG divide 30.34 In this equation, y is multiplied by -30.34. Dividing by 30.34 leaves -y, so you still need to remove the negative sign. It is better to divide by -30.34, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:54:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -30.34y = 66.61 strategic 2 OK divide -30.34 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:54:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 620.53x+(-5281.94) = -5481.9+794.67x strategic 1 OK rds 620.53x+(-5281.94) = -5481.9+794.67x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:54:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 620.53x-5281.94 = -5481.9+794.67x strategic 1 OK add 5281.94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:54:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 620.53x = -199.96+794.67x strategic 1 OK subtract 794.67x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:55:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -174.14x = -199.96 strategic 1 OK divide -174.14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:55:18.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -38.68x+(-64.71) = 53.65+(-1.15x) strategic 1 OK rds -38.68x+(-64.71) = 53.65+(-1.15x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:55:32.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -38.68x-64.71 = 53.65-1.15x strategic 1 OK add 64.71 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:55:49.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -38.68x = 118.36-1.15x strategic 1 OK add 1.15x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:55:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -37.53x = 118.36 strategic 1 ERROR divide -37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:56:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -37.53x = 118.36 strategic 2 OK divide -37.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:56:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 63.25+(-7.42y) = -95.6y+(-53.18) strategic 1 OK rds 63.25+(-7.42y) = -95.6y+(-53.18) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:56:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62 63.25-7.42y = -95.6y-53.18 strategic 1 BUG add 63.25 Since 63.25 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 63.25 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:56:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62 63.25-7.42y = -95.6y-53.18 strategic 2 OK subtract 63.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 63.25-7.42y-63.25 = -95.6y-53.18-63.25 left 1 OK left -7.42y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -7.42y = -95.6y-53.18-63.25 right 1 OK right -95.6y-53.18-63.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -7.42y = -95.6y-53.18-63.25 strategic 1 OK clt -95.6y-53.18-63.25 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 OK -95.6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -53.18 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -63.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:57:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK -95.6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:58:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -116.43 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:58:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK -95.6y+-116.43 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:58:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -7.42y = -95.6y-116.43 strategic 1 OK add 95.6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:58:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -7.42y+95.6y = -95.6y-116.43+95.6y right 1 OK right -116.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:58:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -7.42y+95.6y = -116.43 left 1 OK left 88.18y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:59:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 88.18y = -116.43 strategic 1 OK divide 88.18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:59:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 88.18y/88.18 = -116.43/88.18 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session98 2007-04-26 14:59:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -116.43/88.18 right 1 OK right -1.3203 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:26:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+5392.71 = -5183.62+(-885.88x) strategic 1 OK rds -545.55x+5392.71 = -5183.62+(-885.88x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:27:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+5392.71 = -5183.62-885.88x strategic 1 BUG add 5392.71 Since 5392.71 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 5392.71 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:27:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+5392.71 = -5183.62-885.88x strategic 2 OK subtract 5392.71 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:28:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+5392.71-5392.71 = -5183.62-885.88x-5392.71 left 1 BUG left -545.55 You forgot the x. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:28:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+5392.71-5392.71 = -5183.62-885.88x-5392.71 left 2 OK left -545.55x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:28:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x = -5183.62-885.88x-5392.71 right 1 OK right -5183.62-885.88x-5392.71 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:28:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x = -5183.62-885.88x-5392.71 strategic 1 OK clt -5183.62-885.88x-5392.71 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:28:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 BUG -5183.62 -5183.62
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5183.62, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 BUG  885.88x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 3 OK -885.88x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -5183.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -5392.71 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 OK -885.88x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:29:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -10576.33 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:30:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -885.88x+-10576.33 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:31:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x = -885.88x-10576.33 strategic 1 ERROR subtract 885.88x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:32:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x = -885.88x-10576.33 strategic 2 OK add 885.88x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:32:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+885.88x = -885.88x-10576.33+885.88x right 1 OK right -10576.33 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:32:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+885.88x = -10576.33 left 1 BUG left -340.33x The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:32:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -545.55x+885.88x = -10576.33 left 2 OK left 340.33x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:33:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 340.33x = -10576.33 strategic 1 OK divide 340.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:33:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 340.33x/340.33 = -10576.33/340.33 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:33:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x = -10576.33/340.33 right 1 OK right -31.0766 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:35:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 38.42+86.69x = 68.24x+28.66 strategic 1 OK subtract 38.42 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:35:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 38.42+86.69x-38.42 = 68.24x+28.66-38.42 left 1 ERROR left 86.63 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:35:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 38.42+86.69x-38.42 = 68.24x+28.66-38.42 left 2 ERROR left 86.63x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:35:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 38.42+86.69x-38.42 = 68.24x+28.66-38.42 left 3 OK left 86.69x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:36:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x = 68.24x+28.66-38.42 right 1 OK right 68.24x+28.66-38.42 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x = 68.24x+28.66-38.42 strategic 1 OK clt 68.24x+28.66-38.42 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK 68.24x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK +28.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -38.42 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK 68.24x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -9.76 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:38:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 68.24x+-9.76 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:40:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x = 68.24x-9.76 strategic 1 ERROR add 68.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:40:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x = 68.24x-9.76 strategic 2 OK subtract 68.24x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:40:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x-68.24x = 68.24x-9.76-68.24x right 1 OK right -9.76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:41:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 86.69x-68.24x = -9.76 left 1 OK left 18.45x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:43:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 18.45x = -9.76 strategic 1 OK divide 18.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:43:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 18.45x/18.45 = -9.76/18.45 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 SqSIei2 session99 2007-04-26 16:43:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -9.76/18.45 right 1 OK right -0.5289 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 V3JboV1 session0 2007-04-17 13:50:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:52:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A -3299 = -171y+8146 strategic 1 OK answer-check 66.9298 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:55:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -49.26 = -37.23y+(-0.73) strategic 1 ERROR answer-check 1.3775 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:55:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -49.26 = -37.23y+(-0.73) strategic 2 OK answer-check 1.3035 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:57:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -48y+(-96) = 8 strategic 1 ERROR answer-check 0.4358 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:57:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -48y+(-96) = 8 strategic 2 ERROR answer-check -0.4358 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:58:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -48y+(-96) = 8 strategic 3 ERROR answer-check 0.3589 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:58:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -48y+(-96) = 8 strategic 4 OK answer-check -2.1667 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 13:59:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.21+(-7.05x) = -10.77 strategic 1 ERROR answer-check -5.6641 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:05:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.21+(-7.05x) = -10.77 strategic 2 ERROR answer-check -0.9304 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:11:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.21+(-7.05x) = -10.77 strategic 3 ERROR answer-check 61.2439 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:11:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 4.21+(-7.05x) = -10.77 strategic 4 OK answer-check 2.1248 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:14:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9144 = 2556+1380x strategic 1 OK answer-check 4.7739 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:17:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 11.98y+12.16 = 10.56 strategic 1 OK answer-check -0.1335 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:19:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -6.55+12.47x = -1.1 strategic 1 OK answer-check 0.4370 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:22:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C -8.69+4.45y = 3.27 strategic 1 OK answer-check 2.6876 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:26:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -2324+(-8528y) = 2631 strategic 1 OK answer-check -0.5810 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:27:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -84 = -99x+(-61) strategic 1 ERROR answer-check -0.2323 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:29:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -84 = -99x+(-61) strategic 2 OK answer-check 0.2323 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:30:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -4.34y+(-10.68) = -7.73 strategic 1 OK answer-check -0.6797 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session0 2007-04-17 14:32:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -0.09y+3.36 = -14.93 strategic 1 ERROR answer-check 18.4747 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:04:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -0.09y+3.36 = -14.93 strategic 1 OK answer-check 203.2222 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:07:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -5570+9143x = 4882 strategic 1 OK answer-check 1.1432 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:10:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 72.67y+(-32.46) = 65.37 strategic 1 OK answer-check 1.3462 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:13:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 3+38/y = -78 strategic 1 OK answer-check -0.4691 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:18:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -756 = -488/x+159 strategic 1 ERROR answer-check 1.8750 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:22:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -756 = -488/x+159 strategic 2 OK answer-check 0.5333 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I V3JboV1 session2 2007-04-26 14:26:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -49/y+(-21) = -77 strategic 1 ERROR answer-check -1 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I Vd9xmeb session0 2007-04-19 09:41:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:41:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 1 = 572y/2029 strategic 1 ERROR rf 1 = 572y/2029 strategic condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:42:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 1 = 572y/2029 strategic 2 BUG multiply 572 To remove the you need to multiply. Erase your last step and then multiply both sides by 2029. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:42:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:42:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:42:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 4.36 = -8.68+(-1.42y) strategic 1 OK add 8.68 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 13.04 = -1.42y strategic 1 OK divide -1.42 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 4.36 = -8.68+(-1.42y) strategic 2 OK answer-check -9.1831 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 9772 = -1572x+(-5427) strategic 1 OK add 5427 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 15199 = -1572x strategic 1 OK divide -1572 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:43:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 9772 = -1572x+(-5427) strategic 2 OK answer-check -15199/1572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -43x+16 = 68 strategic 1 OK subtract 16 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -43x = 52 strategic 1 OK divide -43 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -43x+16 = 68 strategic 2 OK answer-check -52/43 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -6.32 = -7.34y+0.07 strategic 1 OK subtract 0.07 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -6.39 = -7.34y strategic 1 OK divide -7.34 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:44:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B -6.32 = -7.34y+0.07 strategic 2 OK answer-check 0.8706 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:45:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8251 = 5988+(-5188x) strategic 1 OK subtract 5988 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:45:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -14239 = -5188x strategic 1 OK divide -5188 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:45:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8251 = 5988+(-5188x) strategic 2 OK answer-check 14239/5188 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:45:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -22 = 100y+(-77) strategic 1 OK add 77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -22+77 = 100y+(-77)+77 left 1 OK left 55 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 55 = 100y+(-77)+77 right 1 OK right 100y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 55 = 100y strategic 1 OK divide 100 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 55/100 = 100y/100 left 1 OK left .55 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.55 = 100y/100 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -22 = 100y+(-77) strategic 2 OK answer-check .55 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:46:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29 = 5.37 strategic 1 OK subtract 1.29 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29-1.29 = 5.37-1.29 left 1 OK left -13.64y+129 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29 = 5.37 strategic 2 OK subtract 1.29 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29-1.29 = 5.37-1.29 left 2 OK left -13.64y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y = 5.37-1.29 right 1 OK right 4.08 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y = 4.08 strategic 1 OK divide -13.64 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y/-13.64 = 4.08/-13.64 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:47:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = 4.08/-13.64 right 1 OK right -0.299120234 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29 = 5.37 strategic 3 ERROR answer-check 0.2991 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -13.64y+1.29 = 5.37 strategic 4 OK answer-check -0.2991 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4003+(-1939y) = -4617 strategic 1 OK subtract 4003 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4003+(-1939y)-4003 = -4617-4003 left 1 OK left -1939y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1939y = -4617-4003 right 1 OK right -8620 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1939y = -8620 strategic 1 OK divide -1939 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:48:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1939y/-1939 = -8620/-1939 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -8620/-1939 right 1 OK right 4.445590511 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4003+(-1939y) = -4617 strategic 2 OK answer-check 4.4456 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.31+(-11.08y) = 2.33 strategic 1 OK add 13.31 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.31+(-11.08y)+13.31 = 2.33+13.31 left 1 OK left -11.08y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.08y = 2.33+13.31 right 1 OK right 15.64 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.08y = 15.64 strategic 1 OK divide -11.08 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.08y/-11.08 = 15.64/-11.08 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:50:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C y = 15.64/-11.08 right 1 OK right -1.411552347 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:50:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.31+(-11.08y) = 2.33 strategic 2 OK answer-check -1.4116 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:50:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -805 = -582/y+87 strategic 1 OK subtract 87 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:50:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -892 = -582/y strategic 1 BUG multiply -582 To remove -582/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -582/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:51:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 519144 = 338724/y strategic 1 ERROR distribute 519144 = 338724/y strategic condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -892 = -582/y strategic 2 ERROR divide y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -892/y = -582*(1/y)^2 strategic 1 BUG divide -892 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:51:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -805 = -582/y+87 strategic 2 OK answer-check 291/446 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:52:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -72 = -14/y+86 strategic 1 OK subtract 86 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -158 = -14/y strategic 1 ERROR divide y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:53:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -158 = -14/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:53:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -158y = -14 strategic 1 OK divide -158 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -72 = -14/y+86 strategic 2 OK answer-check 7/79 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:54:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 354 = -224+(-467/x) strategic 1 OK add 224 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 578 = -467/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:54:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 578x = -467 strategic 1 OK divide 578 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:54:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 354 = -224+(-467/x) strategic 2 OK answer-check -467/578 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 199/y+(-808) = 529 strategic 1 OK add 808 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 199/y = 1337 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 199 = 1337y strategic 1 OK divide 1337 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 199/y+(-808) = 529 strategic 2 OK answer-check 199/1337 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -51+14/x = 96 strategic 1 OK add 51 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -51+14/x+51 = 96+51 left 1 OK left 14/x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14/x = 96+51 right 1 OK right 147 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14/x = 147 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14/x*x = 147x left 1 OK left 14 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = 147x right 1 OK right 147x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:55:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = 147x strategic 1 OK divide 147 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14/147 = 147x/147 left 1 OK left 14/147 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14/147 = 147x/147 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -51+14/x = 96 strategic 2 OK answer-check 14/147 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 638 = -455+643/y strategic 1 OK add 455 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 638+455 = -455+643/y+455 left 1 OK left 1093 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093 = -455+643/y+455 right 1 OK right 643/y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093 = 643/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093y = 643/y*y left 1 OK left 1093y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093y = 643/y*y right 1 OK right 643 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093y = 643 strategic 1 OK divide 1093 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1093y/1093 = 643/1093 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:56:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 643/1093 right 1 OK right 643/1093 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 638 = -455+643/y strategic 2 OK answer-check 643/1093 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y+(-39) = 73 strategic 1 OK add 39 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y+(-39)+39 = 73+39 left 1 OK left -59/y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y = 73+39 right 1 OK right 112 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y = 112 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y*y = 112y left 1 OK left -59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59 = 112y right 1 OK right 112y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59 = 112y strategic 1 OK divide 112 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/112 = 112y/112 left 1 OK left -59/112 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/112 = 112y/112 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:57:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -59/y+(-39) = 73 strategic 2 OK answer-check -59/112 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y+5 = 8y+(-10) strategic 1 OK subtract 5 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y = 8y-15 strategic 1 ERROR add 15 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y+15 = 8y strategic 1 OK add 7y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 15 = 15y strategic 1 OK divide 15 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7y+5 = 8y+(-10) strategic 2 OK answer-check 1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+10x = 0+1x strategic 1 OK subtract 10x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1 = -9x strategic 1 OK divide -9 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1+10x = 0+1x strategic 2 OK answer-check 1/9 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 3y+(-3) = 1+4y strategic 1 OK subtract 3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3 = 1+y strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 1 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2 = 2+y strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 3y+(-3) = 1+4y strategic 2 OK answer-check -4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+8y = -3+(-5y) strategic 1 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+13y = -3 strategic 1 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 13y = -11 strategic 1 OK divide 13 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 09:59:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+8y = -3+(-5y) strategic 2 OK answer-check -11/13 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+5 = 1+(-5y) strategic 1 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+5+3y = 1+(-5y)+3y left 1 OK left 5 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 1+(-5y)+3y right 1 OK right 1+-2y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 1+(-2y) strategic 1 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5-1 = 1+(-2y)-1 left 1 OK left 4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 1+(-2y)-1 right 1 OK right -2y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = -2y strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4/-2 = -2y/-2 left 1 OK left -2 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2 = -2y/-2 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:00:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y+5 = 1+(-5y) strategic 2 OK answer-check -2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-3y) = 6y+4 strategic 1 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-3y)+3y = 6y+4+3y left 1 OK left 4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 6y+4+3y right 1 OK right 9y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-3y) = 6y+4 strategic 2 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-3y)+3y = 6y+4+3y left 2 OK left 4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 6y+4+3y right 2 OK right 9y+4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 9y+4 strategic 1 ERROR subtract 43 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 9y+4 strategic 2 OK subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4-4 = 9y+4-4 left 1 OK left 0 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 9y+4-4 right 1 OK right 9y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 9y strategic 1 OK divide 9 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0/9 = 9y/9 left 1 OK left 0 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 9y/9 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:01:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-3y) = 6y+4 strategic 3 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+7 = 3x+3 strategic 1 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+7+5x = 3x+3+5x left 1 OK left 7 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7 = 3x+3+5x right 1 OK right 8x+3 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7 = 8x+3 strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7-3 = 8x+3-3 left 1 OK left 4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 8x+3-3 right 1 OK right 8x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 8x strategic 1 BUG divide 8x Dividing anything by itself will leave 1. If you divide 8x by 8, x will be left. Erase your last step and then divide by 8. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = 8x strategic 2 OK divide 8 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4/8 = 8x/8 left 1 OK left 1/2 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1/2 = 8x/8 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+7 = 3x+3 strategic 2 OK answer-check 1/2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -8.26+(-5.28x) = -0.32+8.75x strategic 1 OK add .32 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -7.94-5.28x = 8.75x strategic 1 ERROR add 7.94 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:02:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -5.28x = 8.75x+7.94 strategic 1 ERROR subtract 8.75 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -5.28x = 8.75x+7.94 strategic 2 OK subtract 8.75x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -14.03x = 7.94 strategic 1 OK divide -14.03 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -8.26+(-5.28x) = -0.32+8.75x strategic 2 OK answer-check -0.5659 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.28+(-1.98x) = 1.77+1.96x strategic 1 OK add 1.98x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.28 = 1.77+3.94x strategic 1 OK subtract 1.77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.05 = 3.94x strategic 1 OK divide 3.94 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.28+(-1.98x) = 1.77+1.96x strategic 2 OK answer-check -1.5355 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:03:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.11+(-5.49y) = -9.53+4.8y strategic 1 ERROR add 5.49 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:04:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.11+(-5.49y) = -9.53+4.8y strategic 2 OK add 5.49y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:04:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.11 = -9.53+10.29y strategic 1 OK add 9.53 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:04:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3.42 = 10.29y strategic 1 OK divide 10.29 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:04:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.11+(-5.49y) = -9.53+4.8y strategic 3 OK answer-check .3324 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:04:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.4+6.76x = 1.75+7.2x strategic 1 ERROR subtract 7.2 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.4+6.76x = 1.75+7.2x strategic 2 OK subtract 7.2x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:05:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.4-0.44x = 1.75 strategic 1 OK subtract 8.4 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:05:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.44x = -6.65 strategic 1 OK divide -.44 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:05:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.4+6.76x = 1.75+7.2x strategic 3 OK answer-check 15.1136 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:05:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.18x+(-1.36) = -5.81x+0.61 strategic 1 OK add 5.81x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.18x+(-1.36)+5.81x = -5.81x+0.61+5.81x left 1 OK left 7.99x+-1.36 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x+(-1.36) = -5.81x+0.61+5.81x right 1 OK right 0.61 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x+(-1.36) = 0.61 strategic 1 OK add 1.36 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x+(-1.36)+1.36 = 0.61+1.36 left 1 OK left 7.99x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x = 0.61+1.36 right 1 OK right 1.97 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x = 1.97 strategic 1 OK divide 7.99 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.99x/7.99 = 1.97/7.99 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = 1.97/7.99 right 1 OK right .246558197 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:06:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.18x+(-1.36) = -5.81x+0.61 strategic 2 OK answer-check .2466 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04+(-7.15y) = -9.53+(-4.38y) strategic 1 OK add 7.15y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04+(-7.15y)+7.15y = -9.53+(-4.38y)+7.15y left 1 OK left 8.04 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04 = -9.53+(-4.38y)+7.15y right 1 OK right -9.53+2.77y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04 = -9.53+2.77y strategic 1 OK add 9.53 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04+9.53 = -9.53+2.77y+9.53 left 1 OK left 17.57 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.57 = -9.53+2.77y+9.53 right 1 OK right 2.77y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:07:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.57 = 2.77y strategic 1 OK divide 2.77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:08:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.57/2.77 = 2.77y/2.77 left 1 OK left 6.342960289 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:08:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.34296029 = 2.77y/2.77 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:08:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.04+(-7.15y) = -9.53+(-4.38y) strategic 2 OK answer-check 6.3430 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:08:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 1 OK add 1.31y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:08:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y)+1.31y = -9.25y+(-4.65)+1.31y left 1 OK left -9.41 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:09:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41 = -9.25y+(-4.65)+1.31y right 1 OK right -923.69y+-4.65 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:09:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41 = -923.69y+(-4.65) strategic 1 OK add 4.65 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+4.65 = -923.69y+(-4.65)+4.65 left 1 OK left -4.76 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:09:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76 = -923.69y+(-4.65)+4.65 right 1 OK right -923.69y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76 = -923.69y strategic 1 OK divide -923.69 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76/-923.69 = -923.69y/-923.69 left 1 OK left .0051532 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.00515324 = -923.69y/-923.69 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 2 ERROR answer-check .0052 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76 = -923.69y strategic 2 OK divide -923.69 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76/-923.69 = -923.69y/-923.69 left 2 OK left -4.76/-923.69 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:10:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76/-923.69 = -923.69y/-923.69 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:11:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 3 ERROR answer-check -4.76/-923.69 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:13:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 4 OK add 1.31y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:13:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y)+1.31y = -9.25y+(-4.65)+1.31y left 2 OK left -9.41 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:13:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41 = -9.25y+(-4.65)+1.31y right 2 OK right -7.94y+-465 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 5 OK add 1.31y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y)+1.31y = -9.25y+(-4.65)+1.31y left 3 OK left -9.41 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41 = -9.25y+(-4.65)+1.31y right 3 OK right -7.94y+-4.65 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41 = -7.94y+(-4.65) strategic 1 OK add 4.65 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+4.65 = -7.94y+(-4.65)+4.65 left 1 OK left -4.76 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76 = -7.94y+(-4.65)+4.65 right 1 OK right -7.94y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:14:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76 = -7.94y strategic 1 OK divide -7.94 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76/-7.94 = -7.94y/-7.94 left 1 OK left -4.76/-7.94 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76/-7.94 = -7.94y/-7.94 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:15:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.41+(-1.31y) = -9.25y+(-4.65) strategic 6 OK answer-check -4.76/-7.94 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:24:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13+(-6.91y) = -6.75+5.39y strategic 1 OK add 6.91y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:24:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13+(-6.91y)+6.91y = -6.75+5.39y+6.91y left 1 OK left -0.13 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:24:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13 = -6.75+5.39y+6.91y right 1 OK right -6.75+12.3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:24:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13 = -6.75+12.3y strategic 1 OK add 6.75 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:24:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13+6.75 = -6.75+12.3y+6.75 left 1 OK left 6.62 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.62 = -6.75+12.3y+6.75 right 1 OK right 12.3y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:25:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.62 = 12.3y strategic 1 OK divide 12.3 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:25:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.62/12.3 = 12.3y/12.3 left 1 OK left 6.62/12.3 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:25:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.62/12.3 = 12.3y/12.3 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:25:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.13+(-6.91y) = -6.75+5.39y strategic 2 OK answer-check 6.62/12.3 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.89x+2.23 = -6.7+5.94x strategic 1 OK add 8.89x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.89x+2.23+8.89x = -6.7+5.94x+8.89x left 1 OK left 2.23 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23 = -6.7+5.94x+8.89x right 1 OK right -6.7+14.83x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23 = -6.7+14.83x strategic 1 OK add 6.7 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23+6.7 = -6.7+14.83x+6.7 left 1 OK left 8.93 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.93 = -6.7+14.83x+6.7 right 1 OK right 14.83x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.93 = 14.83x strategic 1 OK divide 14.83 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.93/14.83 = 14.83x/14.83 left 1 OK left 8.93/14.83 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:27:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.93/14.83 = 14.83x/14.83 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:28:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.89x+2.23 = -6.7+5.94x strategic 2 OK answer-check 8.93/14.83 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:28:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -86.87x+(-77.11) = 68.66+4.83x strategic 1 OK add 77.11 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:28:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -86.87x = 145.77+4.83x strategic 1 ERROR add 86.87 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:29:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -86.87x+86.87 = 232.64+4.83x strategic 1 OK add 86.87x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 86.87 = 232.64+91.7x strategic 1 OK subtract 232.64 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:29:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -145.77 = 91.7x strategic 1 OK divide 91.7 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:29:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -86.87x+(-77.11) = 68.66+4.83x strategic 2 OK answer-check -1.5896 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:30:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 79.79+(-47.06y) = 92.86+24.88y strategic 1 OK add 47.06y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:30:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 79.79 = 92.86+71.94y strategic 1 OK subtract 92.86 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:30:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -13.07 = 71.94y strategic 1 OK divide 71.94 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:30:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 79.79+(-47.06y) = 92.86+24.88y strategic 2 OK answer-check -0.1817 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 9988.48+624.01x = -4874.31+484.05x strategic 1 OK subtract 624.01x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 9988.48 = -4874.31-139.96x strategic 1 OK add 4874.31 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 14862.79 = -139.96x strategic 1 OK divide -139.96 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 9988.48+624.01x = -4874.31+484.05x strategic 2 OK answer-check -106.1931 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 65.36y+9.56 = 35.59y+(-92.49) strategic 1 OK add 92.49 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 65.36y+102.05 = 35.59y strategic 1 OK subtract 65.36y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:31:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 102.05 = -29.77y strategic 1 OK divide -29.77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:32:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 65.36y+9.56 = 35.59y+(-92.49) strategic 2 OK answer-check -3.4279 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:32:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45) = -144.02y+1064.86 strategic 1 BUG subtract 2022.45 Since -2022.45 is negative, you should add to remove it from the both side. Erase your last step and add 2022.45 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45)-2022.45 = -144.02y+1064.86-2022.45 left 1 OK left 347.73y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:33:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y = -144.02y+1064.86-2022.45 right 1 OK right -144.02y+-957.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:33:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y = -144.02y+(-957.59) strategic 1 ERROR add 957.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:33:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59 = -144.02y+(-957.59)+957.59 left 1 OK left 347.73y+957.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59 = -144.02y+(-957.59)+957.59 right 1 OK right -144.02y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59 = -144.02y strategic 1 OK subtract 347.73y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59-347.73y = -144.02y-347.73y left 1 OK left 957.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59 = -144.02y-347.73y right 1 OK right -491.75y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59 = -491.75y strategic 1 BUG divide -491.75y Dividing anything by itself will leave 1. If you divide -491.75y by -491.75, y will be left. Erase your last step and then divide by -491.75. BUG condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59 = -491.75y strategic 2 OK divide -491.75 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:35:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59/-491.75 = -491.75y/-491.75 left 1 OK left -1.947310625 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:35:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -1.94731063 = -491.75y/-491.75 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:35:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45) = -144.02y+1064.86 strategic 2 ERROR answer-check -1.9473 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:35:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59 = -144.02y strategic 2 OK subtract 347.73y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:35:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+957.59-347.73y = -144.02y-347.73y left 2 OK left 957.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59 = -144.02y-347.73y right 2 OK right -491.75y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59 = -491.75y strategic 3 OK divide -491.75 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 957.59/-491.75 = -491.75y/-491.75 left 2 OK left -19473 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -19473 = -491.75y/-491.75 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45) = -144.02y+1064.86 strategic 3 ERROR answer-check -19473 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45) = -144.02y+1064.86 strategic 4 OK add 2022.45 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:36:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45)+2022.45 = -144.02y+1064.86+2022.45 left 1 OK left 347.73y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y = -144.02y+1064.86+2022.45 right 1 OK right -144.02y+3087.31 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y = -144.02y+3087.31 strategic 1 OK add 144.02y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+144.02y = -144.02y+3087.31+144.02y left 1 OK left 491.75y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 491.75y = -144.02y+3087.31+144.02y right 1 OK right 3087.31 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 491.75y = 3087.31 strategic 1 OK divide 491.75 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:37:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 491.75y/491.75 = 3087.31/491.75 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:38:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = 3087.31/491.75 right 1 OK right 6.2782 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 347.73y+(-2022.45) = -144.02y+1064.86 strategic 5 OK answer-check 6.2782 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:38:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-57.09) = 79.76y+(-28.5) strategic 1 OK add 28.5 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:38:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-57.09)+28.5 = 79.76y+(-28.5)+28.5 left 1 OK left 96.46y+-28.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-28.59) = 79.76y+(-28.5)+28.5 right 1 OK right 79.76y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-28.59) = 79.76y strategic 1 ERROR add 28.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-28.59)+28.59 = 79.76y+28.59 left 1 OK left 96.46y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y = 79.76y+28.59 right 1 OK right 79.76y+28.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y = 79.76y+28.59 strategic 1 OK subtract 79.76y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y-79.76y = 79.76y+28.59-79.76y left 1 OK left 16.7y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 16.7y = 79.76y+28.59-79.76y right 1 OK right 28.59 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 16.7y = 28.59 strategic 1 OK divide 16.7 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 16.7y/16.7 = 28.59/16.7 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = 28.59/16.7 right 1 OK right 1.711976 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:39:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 96.46y+(-57.09) = 79.76y+(-28.5) strategic 2 OK answer-check 1.7120 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:40:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -5223.46+656.61x = 961.98x+(-8404.23) strategic 1 OK add 8404.23 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:40:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -5223.46+656.61x+8404.23 = 961.98x+(-8404.23)+8404.23 left 1 OK left 3180.77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:41:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -5223.46+656.61x = 961.98x+(-8404.23) strategic 2 OK add 8404.23 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -5223.46+656.61x+8404.23 = 961.98x+(-8404.23)+8404.23 left 2 OK left 3180.77+656.61x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77+656.61x = 961.98x+(-8404.23)+8404.23 right 1 OK right 961.98x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77+656.61x = 961.98x strategic 1 OK subtract 656.61x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77+656.61x-656.61x = 961.98x-656.61x left 1 OK left 3180.77 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77 = 961.98x-656.61x right 1 OK right 305.37x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77 = 305.37x strategic 1 OK divide 305.37 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:42:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77/305.37 = 305.37x/305.37 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:43:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 3180.77/305.37 = x left 1 OK left 10.4161 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:43:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -5223.46+656.61x = 961.98x+(-8404.23) strategic 3 OK answer-check 10.4161 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:43:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56+(-333.89x) = 2091.95+(-413.1x) strategic 1 OK add 333.89x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:43:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56+(-333.89x)+333.89x = 2091.95+(-413.1x)+333.89x left 1 OK left -7511.56 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:43:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56 = 2091.95+(-413.1x)+333.89x right 1 OK right 2091.95+-79.21x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56 = 2091.95+(-79.21x) strategic 1 OK subtract 2091.95 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56-2091.95 = 2091.95+(-79.21x)-2091.95 left 1 OK left -9603.51 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -9603.51 = 2091.95+(-79.21x)-2091.95 right 1 OK right -79.21x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -9603.51 = -79.21x strategic 1 OK divide -79.21 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -9603.51/-79.21 = -79.21x/-79.21 left 1 OK left 121.2411 condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 121.24113117 = -79.21x/-79.21 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I Vd9xmeb session0 2007-04-19 10:44:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -7511.56+(-333.89x) = 2091.95+(-413.1x) strategic 2 OK answer-check 121.2411 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I W0oven9 session0 2007-04-17 14:00:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:03:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -9.19y+9.61 = 7.58 strategic 1 ERROR answer-check -0.024 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:03:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -9.19y+9.61 = 7.58 strategic 2 ERROR answer-check -0.02403 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:04:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -9.19y+9.61 = 7.58 strategic 3 OK answer-check 0.2208 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:08:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -57x+(-73) = -15 strategic 1 OK answer-check -1.01753 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:16:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -6.38+(-0.2y) = 10.36 strategic 1 ERROR answer-check 8.1191 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:22:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -6.38+(-0.2y) = 10.36 strategic 2 OK answer-check -83.7 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session0 2007-04-17 14:26:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -96 = 35y+(-98) strategic 1 OK answer-check 0.0571 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 13:59:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 2.81 = 8.58x+(-2.65) strategic 1 OK answer-check 0.6363636363 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:03:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1975 = -3486+7031y strategic 1 OK answer-check 0.7767 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:08:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 12.68+0.46y = 13.17 strategic 1 OK answer-check 1.06521 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:12:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 5698 = 6722+(-5073x) strategic 1 ERROR answer-check 2.4482 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:17:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 5698 = 6722+(-5073x) strategic 2 ERROR answer-check 2.4483 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:24:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 5698 = 6722+(-5073x) strategic 3 ERROR answer-check -0.2018 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I W0oven9 session1 2007-04-24 14:29:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 5698 = 6722+(-5073x) strategic 4 ERROR answer-check 4.9541 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I W1SLytJ session0 2007-04-16 13:24:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:25:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide -144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:25:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:25:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:25:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -81 = -72x+(-78) strategic 1 ERROR distribute -81 = -72x+(-78) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -81 = -72x+(-78) strategic 2 OK add 78 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -3 = -72x strategic 1 OK divide -72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -81 = -72x+(-78) strategic 3 OK answer-check 1/24 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 11.49x+7.48 = 14.3 strategic 1 OK subtract 7.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 11.49x = 6.82 strategic 1 OK divide 11.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:26:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 11.49x+7.48 = 14.3 strategic 2 OK answer-check 0.5936 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -28.48 = -39.78+0.36x strategic 1 OK add 39.78 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 11.3 = 0.36x strategic 1 OK divide 0.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -28.48 = -39.78+0.36x strategic 2 OK answer-check 31.3889 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x+(-9492) = -4065 strategic 1 OK add 9492 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x = 5427 strategic 1 ERROR divide 938 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x/938 = 81/14 strategic 1 ERROR rf 983x/938 = 81/14 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:27:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x+(-9492) = -4065 strategic 2 ERROR answer-check 81/14 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x/938 = 81/14 strategic 2 ERROR rds 983x/938 = 81/14 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:28:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x = 5427 strategic 2 OK divide 983 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:28:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 983x+(-9492) = -4065 strategic 3 OK answer-check 5427/983 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:28:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 5 = 47x+31 strategic 1 OK subtract 31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:28:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -26 = 47x strategic 1 OK divide 47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:29:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 5 = 47x+31 strategic 2 OK answer-check -26/47 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:29:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 1.96+3.02x = 6.58 strategic 1 OK subtract 1.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:29:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 3.02x = 4.62 strategic 1 OK divide 3.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:29:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 1.96+3.02x = 6.58 strategic 2 OK answer-check 1.5298 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:30:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4300+(-3649x) = 4230 strategic 1 OK subtract 4300 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:30:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4300+(-3649x)-4300 = 4230-4300 left 1 OK left -3649x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:30:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3649x = 4230-4300 right 1 OK right -70 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:30:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3649x = -70 strategic 1 OK divide -3649 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:31:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3649x/-3649 = -70/-3649 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:31:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -70/-3649 right 1 OK right 0.01918333 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:31:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4300+(-3649x) = 4230 strategic 2 OK answer-check 0.0192 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:32:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 14.82 = -10.58y+(-14.92) strategic 1 OK add 14.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:32:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 14.82+14.92 = -10.58y+(-14.92)+14.92 right 1 OK right -10.58x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:32:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 14.82+14.92 = -10.58x left 1 OK left 29.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:32:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 29.74 = -10.58x strategic 1 BUG divide -10.58 You already solved the equation. 29.74 can never be equal to -10.58x, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:32:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 29.74/-10.58 = -10.58x/-10.58 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:33:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 29.74/-10.58 = x left 1 OK left -2.81096 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:33:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 14.82 = -10.58y+(-14.92) strategic 2 OK answer-check -2.8110 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:33:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 7.01+(-7.68y) = 13.46 strategic 1 ERROR add 7.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:34:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 7.01+(-7.68y) = 13.46 strategic 2 OK subtract 7.01 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:34:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 7.01+(-7.68y)-7.01 = 13.46-7.01 left 1 OK left -7.68y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:34:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.68y = 13.46-7.01 right 1 OK right 6.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:34:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.68y = 6.45 strategic 1 OK divide -7.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:34:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.68y/-7.68 = 6.45/-7.68 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:35:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = 6.45/-7.68 right 1 OK right 0.8398 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:35:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 7.01+(-7.68y) = 13.46 strategic 3 ERROR answer-check 0.8398 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:36:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 7.01+(-7.68y) = 13.46 strategic 4 OK answer-check -0.8398 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -27+64y = 30 strategic 1 OK add 27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:36:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -27+64y+27 = 30+27 left 1 OK left 64y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:37:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 64y = 30+27 right 1 OK right 57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 64y = 57 strategic 1 OK divide 64 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:37:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 64y/64 = 57/64 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:37:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 57/64 right 1 OK right 0.890625 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:37:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -27+64y = 30 strategic 2 OK answer-check 0.890625 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:38:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 1 ERROR add 8.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:38:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31+8.32 = 32.76y+(-88.32)+8.32 right 1 OK right 32.76y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:38:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31+8.32 = 32.76y left 1 OK left 82.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:38:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 82.63 = 32.76y strategic 1 OK divide 32.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 82.63/32.76 = 32.76y/32.76 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:39:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 82.63/32.76 = y left 1 OK left 2.522228 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session0 2007-04-16 13:39:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 2 ERROR answer-check 2.5223 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:49:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 1 BUG subtract 88.32 Since -88.32 is negative, you should add to remove it from the right side. Erase your last step and add 88.32 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31-88.32 = 32.76y+(-88.32)-88.32 right 1 OK right 32.76y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:49:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31-88.32 = 32.76y left 1 OK left -14.01 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:50:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01 = 32.76y strategic 1 OK divide 32.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = 32.76y/32.76 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:52:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = y left 1 OK left 0.4276 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:52:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 2 ERROR answer-check 0.4276 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:52:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 3 ERROR distribute 74.31 = 32.76y+(-88.32) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:52:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 4 BUG subtract 88.32 Since -88.32 is negative, you should add to remove it from the right side. Erase your last step and add 88.32 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31-88.32 = 32.76y+(-88.32)-88.32 right 2 OK right 32.76y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:53:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31-88.32 = 32.76y left 2 OK left -14.01 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01 = 32.76y strategic 2 OK divide 32.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = 32.76y/32.76 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:53:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = y left 2 OK left 0.38112 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:54:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 5 ERROR answer-check 0.38112 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:54:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01 = 32.76y strategic 3 ERROR rf -14.01 = 32.76y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:54:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01 = 32.76y strategic 4 OK divide 32.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:54:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = 32.76y/32.76 right 3 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:54:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -14.01/32.76 = y left 3 OK left 0.38112 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:55:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 6 ERROR answer-check 0.3811 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:55:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 74.31 = 32.76y+(-88.32) strategic 7 OK answer-check 4.9643 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:55:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 1 OK add 3055 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:55:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y+(-3055)+3055 right 1 OK right 8274y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y left 1 OK left -2694 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694 = 8274y strategic 1 OK divide 8274 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:56:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = 8274y/8274 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:56:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = y left 1 OK left 0.3559 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:57:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 2 ERROR answer-check 0.32559 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:57:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 3 ERROR answer-check 0.3559 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:57:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 4 ERROR clt -5749 = 8274y+(-3055) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:57:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 5 OK add 3055 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:57:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y+(-3055)+3055 right 2 OK right 8274y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:58:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y left 2 OK left -2694 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:58:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694 = 8274y strategic 2 OK divide 8274 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:58:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = 8274y/8274 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:59:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = y left 2 OK left 0.32559 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:59:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 6 ERROR answer-check 0.325569 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:59:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 7 ERROR answer-check 0.3256 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 12:59:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 8 OK add 3055 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:00:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y+(-3055)+3055 right 3 OK right 8274y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:00:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749+3055 = 8274y left 3 OK left -2694 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:00:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694 = 8274y strategic 3 OK divide 8274 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:00:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = 8274y/8274 right 3 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:00:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -2694/8274 = y left 3 OK left 0.32559 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -5749 = 8274y+(-3055) strategic 9 OK answer-check -0.3256 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 91 = 66+83y strategic 1 OK subtract 66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 91-66 = 66+83y-66 right 1 OK right 83y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 91-66 = 83y left 1 OK left 25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25 = 83y strategic 1 OK divide 83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25/83 = 83y/83 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:01:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25/83 = y left 1 OK left 0.30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 91 = 66+83y strategic 2 OK answer-check 0.30 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:02:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x+8.87 = -1.08 strategic 1 OK subtract 8.87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x+8.87-8.87 = -1.08-8.87 left 1 OK left -13.25x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:02:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x = -1.08-8.87 right 1 OK right -9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:03:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x = -9.95 strategic 1 BUG divide 13.25 In this equation, x is multiplied by -13.25. Dividing by 13.25 leaves -x, so you still need to remove the negative sign. It is better to divide by -13.25, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:03:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x/13.25 = -9.95/13.25 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:03:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -9.95/13.25 right 1 OK right 0.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:03:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.25x+8.87 = -1.08 strategic 2 OK answer-check 0.75 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:04:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 1 ERROR distribute 227+(-478/y) = 44 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:04:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 2 OK subtract 227 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:04:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -478/y = -183 strategic 1 BUG multiply 1/478 Multiplying by 1/478 will leave -y. It is better to multiply by -1/478, because that will leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:04:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -1/y = -183/478 strategic 1 ERROR rf -1/y = -183/478 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:05:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 3 ERROR answer-check -183/478 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:05:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 4 OK subtract 227 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:05:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -478/y = -183 strategic 2 ERROR multiply -1/478 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:06:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 5 ERROR answer-check 183/478 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 6 OK subtract 227 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:06:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -478/y = -183 strategic 3 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:06:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -478 = -183y strategic 1 OK divide -183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:07:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 227+(-478/y) = 44 strategic 7 OK answer-check 478/183 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:07:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -327/y+446 = -337 strategic 1 OK subtract 446 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:07:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -327/y = -783 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:07:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -327 = -783y strategic 1 OK divide -783 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:07:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 109/261 = y strategic 1 BUG rf 109/261 = y strategic You already solved the equation. y is 109/261. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -327/y+446 = -337 strategic 2 OK answer-check 109/261 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -11 = 93+26/y strategic 1 OK subtract 93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -104 = 26/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -104y = 26 strategic 1 OK divide -104 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -11 = 93+26/y strategic 2 OK answer-check -1/4 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -501+451/y = -787 strategic 1 OK add 501 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 451/y = -286 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:08:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 451 = -286y strategic 1 OK divide -286 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -501+451/y = -787 strategic 2 OK answer-check -41/26 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2) = -60 strategic 1 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2)+2 = -60+2 left 1 OK left 22/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22/x = -60+2 right 1 OK right -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22/x = -58 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22/x*x = -58x left 1 OK left 22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22 = -58x right 1 OK right -58x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:09:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22 = -58x strategic 1 OK divide -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:10:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22/-58 = -58x/-58 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:10:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 22/-58 = x left 1 OK left -0.379 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2) = -60 strategic 2 ERROR answer-check -0.3793 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:10:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2) = -60 strategic 3 ERROR distribute -22/x+(-2) = -60 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2) = -60 strategic 4 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2)+2 = -60+2 left 2 OK left -22/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x = -60+2 right 1 OK right -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x = -58 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x*x = -58x left 1 OK left -22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22 = -58x right 1 OK right -58x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22 = -58x strategic 1 OK divide -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/-58 = -58x/-58 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:12:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/-58 = x left 1 OK left 0.3793 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -22/x+(-2) = -60 strategic 5 OK answer-check 0.3793 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:12:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 1 OK subtract 352 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:12:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = 352+(-153/x)-352 right 1 OK right -153/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = -153/x left 1 OK left 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = -153/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x right 1 OK right -153 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153 left 1 OK left 231x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153 strategic 1 OK divide 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:13:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x/231 = -153/231 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -153/231 right 1 OK right 0.4766 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 2 ERROR answer-check 0.4766 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 3 OK subtract 352 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = 352+(-153/x)-352 right 2 OK right -153/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = -153/x left 2 OK left 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:14:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = -153/x strategic 2 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x left 1 OK left 231x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x right 2 OK right -153 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153 strategic 2 OK divide 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x/231 = -153/231 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -153/231 right 2 OK right 0.6623 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:15:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 4 ERROR answer-check 0.6623 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:16:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 5 OK subtract 352 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = 352+(-153/x)-352 right 3 OK right -153/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:16:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = -153/x left 3 OK left 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:16:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = -153/x strategic 3 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x left 2 OK left 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:17:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = -153/x strategic 4 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:17:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x left 3 OK left 231x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:17:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x right 3 OK right -153 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153 strategic 3 OK divide 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:17:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x/231 = -153/231 left 3 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -153/231 right 3 OK right 0.66233 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:18:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 6 ERROR answer-check 0.66233 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:19:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 7 OK subtract 352 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:19:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = 352+(-153/x)-352 left 1 OK left 321 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:19:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 8 OK subtract 352 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583-352 = 352+(-153/x)-352 left 2 OK left 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = 352+(-153/x)-352 right 1 OK right -153/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231 = -153/x strategic 5 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x left 4 OK left 231x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153/x*x right 4 OK right -153 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x = -153 strategic 4 OK divide 231 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 231x/231 = -153/231 left 4 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:20:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -153/231 right 4 OK right -0.6623 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 583 = 352+(-153/x) strategic 9 OK answer-check -0.6623 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -500 = 502+(-127/y) strategic 1 OK subtract 502 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -500-502 = 502+(-127/y)-502 left 1 OK left -1002 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002 = 502+(-127/y)-502 right 1 OK right -127/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002 = -127/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002y = -127/y*y left 1 OK left -1002y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002y = -127/y*y right 1 OK right -127 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:21:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002y = -127 strategic 1 OK divide -1002 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:22:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1002y/-1002 = -127/-1002 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:22:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -127/-1002 right 1 OK right 0.12674 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:22:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -500 = 502+(-127/y) strategic 2 OK answer-check 0.12674 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:22:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 1 OK subtract 51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93-51 = 4/y+51-51 right 1 OK right 4/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93-51 = 4/y left 1 OK left -144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144 = 4/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4/y*y left 1 OK left -144y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4/y*y right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4 strategic 1 OK divide -144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:23:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y/-144 = 4/-144 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 4/-144 right 1 OK right 0.02777 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 2 ERROR answer-check 0.02777 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 3 ERROR answer-check 0.02778 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 4 OK subtract 51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93-51 = 4/y+51-51 left 1 OK left -144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144 = 4/y+51-51 right 1 OK right 4/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144 = 4/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4/y*y right 2 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:24:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4 left 1 OK left -144y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y = 4 strategic 2 OK divide -144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:25:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -144y/-144 = 4/-144 left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 4/-144 right 2 OK right 0.0277 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:25:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 5 ERROR answer-check 0.0277 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 4/y+51 strategic 6 OK answer-check -1/36 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55 = -8/x+(-32) strategic 1 OK add 32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55+32 = -8/x+(-32)+32 right 1 OK right -8x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55+32 = -8x left 1 OK left -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55 = -8/x+(-32) strategic 2 OK add 32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55+32 = -8/x+(-32)+32 left 1 OK left -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23 = -8/x+(-32)+32 right 1 OK right -8/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:26:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23 = -8/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x = -8/x*x left 1 OK left -23x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x = -8/x*x right 1 OK right -8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x = -8 strategic 1 OK divide -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x/-23 = -8/-23 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -8/-23 right 1 OK right -8/23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -8/23 strategic 1 BUG rf x = -8/23 strategic You already solved the equation. x is -8/23. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x = -8 strategic 2 OK divide -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:27:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -23x/-23 = -8/-23 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:28:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -8/-23 right 2 OK right 0.3478 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:28:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -55 = -8/x+(-32) strategic 3 OK answer-check 0.3478 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:28:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -320 = -597+(-383/y) strategic 1 OK add 597 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:28:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -320+597 = -597+(-383/y)+597 left 1 OK left 277 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:28:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277 = -597+(-383/y)+597 right 1 OK right -383/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277 = -383/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277y = -383/y*y left 1 OK left 277y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277y = -383/y*y right 1 OK right -383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277y = -383 strategic 1 OK divide 277 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 277y/277 = -383/277 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:29:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -383/277 right 1 OK right -1.3826 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:30:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -320 = -597+(-383/y) strategic 2 OK answer-check -1.3826 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:30:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -4+1x = -9x+1 strategic 1 ERROR clt -4+1x = -9x+1 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:30:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -4+1x = -9x+1 strategic 2 BUG subtract 9x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:30:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -4+1x = -9x+1 strategic 3 OK add 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -4+10x = 1 strategic 1 OK add 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 10x = 5 strategic 1 OK divide 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -4+1x = -9x+1 strategic 4 OK answer-check 1/2 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10x+9 = -5+8x strategic 1 OK subtract 8x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x+9 = -5 strategic 1 OK subtract 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 2x = -14 strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10x+9 = -5+8x strategic 2 OK answer-check -7 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:31:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x+(-10) = 7x+2 strategic 1 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -14x-10 = 2 strategic 1 OK add 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -14x = 12 strategic 1 OK divide -14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x+(-10) = 7x+2 strategic 2 OK answer-check -6/7 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+5 = -8+(-2y) strategic 1 OK add 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6y+5 = -8 strategic 1 OK subtract 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6y = -13 strategic 1 OK divide -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:32:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+5 = -8+(-2y) strategic 2 OK answer-check 13/6 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 1 OK subtract 1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)-1x = 3+1x-1x right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)-1x = 3 left 1 OK left -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 2 BUG subtract -1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 3 OK subtract -1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:33:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)-(-x) = 3+1x-(-x) right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:34:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 4 OK subtract 1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:34:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)-1x = 3+1x-1x right 2 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)-1x = 3 left 2 OK left -2x+2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2 = 3 strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2-2 = 3-2 right 1 OK right 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+2-2 = 1 left 1 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 1 strategic 1 OK divide -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 5 ERROR answer-check -0.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:35:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 6 ERROR answer-check -1/2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:36:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = 1/-2 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:36:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 1/-2 right 1 OK right -0.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:36:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 7 OK add 1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2)+x = 3+1x+x left 1 OK left -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2 = 3+1x+x right 1 OK right 3+2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2 = 3+2x strategic 1 OK subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2-3 = 3+2x-3 right 1 OK right 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2-3 = 2x left 1 OK left -5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5 = 2x strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5/2 = 2x/2 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5/2 = x left 1 OK left -2.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x+(-2) = 3+1x strategic 8 OK answer-check -2.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:38:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+8 = -1+(-3y) strategic 1 OK add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:38:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+8+3y = -1+(-3y)+3y right 1 OK right -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:38:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+8+3y = -1 left 1 OK left 13y+8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 13y+8 = -1 strategic 1 OK subtract 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:38:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 13y+8-8 = -1-8 left 1 OK left 13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:39:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 13y = -1-8 right 1 OK right -9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:39:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 13y = -9 strategic 1 OK divide 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:39:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 13y/13 = -9/13 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:40:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -9/13 right 1 OK right -0.6923 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session1 2007-04-20 13:40:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+8 = -1+(-3y) strategic 2 OK answer-check -0.6923 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 1 OK subtract 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-3x = 1+5x-3x left 1 OK left 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 2 OK subtract 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-5x = 1+5x-5x right 1 OK right 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-5x = 1 left 1 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:49:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 1 strategic 1 OK divide -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = 1/-2 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 1/-2 right 1 OK right -0.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 3 ERROR answer-check -0.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 4 OK subtract 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-3x = 1+5x-3x right 1 OK right 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-3x = 2x left 1 OK left 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7 = 2x strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7/2 = 2x/2 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7/2 = x left 1 OK left 3.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:50:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 5 ERROR answer-check 3.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 6 OK subtract 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-5x = 1+5x-5x right 2 OK right 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-5x = 1 left 2 OK left -2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = 1 strategic 2 OK divide -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x/-2 = 1/-2 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 1/-2 right 2 OK right -0.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 7 OK subtract 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:51:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x-3x = 1+5x-3x left 2 OK left 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7 = 1+5x-3x right 1 OK right 1+2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7 = 1+2x strategic 1 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7-1 = 1+2x-1 left 1 OK left 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6 = 1+2x-1 right 1 OK right 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6 = 2x strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6/2 = 2x/2 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6/2 = x left 1 OK left 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+3x = 1+5x strategic 8 OK answer-check 3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 1 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-6x = 8+5x-6x right 1 OK right 8+1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-6x = 8+1x left 1 OK left -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7 = 8+1x strategic 1 OK unnec-elems -7=8+1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7 = 8+x strategic 1 OK subtract 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-8 = 8+x-8 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-8 = x left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 2 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 3 OK subtract 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-5x = 8+5x-5x right 1 OK right 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-5x = 8 left 1 OK left 1x-7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x-7 = 8 strategic 1 OK unnec-elems 1x-7=8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:53:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7 = 8 strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7+7 = 8+7 right 1 OK right 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7+7 = 13 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 4 ERROR answer-check 13 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 5 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-6x = 8+5x-6x left 1 OK left -7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7 = 8+5x-6x right 1 OK right 8+x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7 = 8+x strategic 2 OK subtract 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-8 = 8+x-8 right 2 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7-8 = x left 2 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 6 OK subtract 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:54:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-5x = 8+5x-5x right 2 OK right 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:55:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7)-5x = 8 left 2 OK left x-7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:55:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7 = 8 strategic 2 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7+7 = 8+7 right 2 OK right 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:55:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x-7+7 = 13 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:56:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 7 OK rds 6x+(-7) = 8+5x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:56:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7 = 8+5x strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:56:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7+7 = 8+5x+7 left 1 OK left 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:57:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 8+5x+7 right 1 OK right 15+5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:57:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 15+5x strategic 1 ERROR subtract 15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:57:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-15 = 15+5x-15 right 1 OK right 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7 = 8+5x strategic 2 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7+7 = 8+5x+7 right 1 OK right 5x+15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7+7 = 5x+15 left 1 OK left 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 5x+15 strategic 1 OK subtract 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-5x = 5x+15-5x right 1 OK right 15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-5x = 15 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:58:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-7) = 8+5x strategic 8 OK answer-check 15 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 1 BUG subtract 7 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y-7 = 10y+0-7 left 1 OK left -10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10 = 10y+0-7 right 1 OK right 10y+-7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10 = 10y+(-7) strategic 1 OK rds -10 = 10y+(-7) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10 = 10y-7 strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7 = 10y-7+7 right 1 OK right 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7 = 10y left 1 OK left -17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -17 = 10y strategic 1 OK divide 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 12:59:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -17/10 = 10y/10 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -17/10 = y left 1 OK left -1.7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 2 ERROR answer-check -1.7 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 3 OK subtract 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y-10y = 10y+0-10y right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 4 OK subtract 10y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:00:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y-10y = 10y+0-10y right 2 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y-10y = 0 left 1 OK left 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 0 strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y/7 = 0/7 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 0/7 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 5 ERROR answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 6 BUG add 10y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y+10y = 10y+0+10y left 1 OK left 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 10y+0+10y right 1 OK right 20y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y = 20y strategic 1 OK subtract 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:01:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7y-7y = 20y-7y left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 20y-7y right 1 OK right 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 7 ERROR answer-check 13 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10+7y = 10y+0 strategic 8 OK answer-check -3.3333 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y) = 5y+(-8) strategic 1 OK rds -4+(-1y) = 5y+(-8) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y = 5y-8 strategic 1 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:02:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y+8 = 5y-8+8 right 1 OK right 5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:03:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y) = 5y+(-8) strategic 2 ERROR clt -4+(-1y) = 5y+(-8) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:03:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y) = 5y+(-8) strategic 3 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:03:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y)+8 = 5y+(-8)+8 right 1 OK right 5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:04:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y)+8 = 5y left 1 OK left -4-1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:04:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y = 5y strategic 1 OK unnec-elems -4-1y=5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-y = 5y strategic 1 ERROR add 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-y+4 = 5y+4 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 5y+4 right 1 OK right 5y+4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y) = 5y+(-8) strategic 4 OK rds -4+(-1y) = 5y+(-8) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y = 5y-8 strategic 2 OK add 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:05:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y+8 = 5y-8+8 right 2 OK right 5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-1y+8 = 5y left 1 OK left -4-y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-y = 5y strategic 2 OK add y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4-y+y = 5y+y left 1 OK left -4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 5y+y right 1 OK right 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 6y strategic 1 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4/6 = 6y/6 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:06:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+(-1y) = 5y+(-8) strategic 5 OK answer-check 0.6666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-2) = 2+(-3y) strategic 1 OK rds 6y+(-2) = 2+(-3y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2 = 2-3y strategic 1 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2+2 = 2-3y+2 left 1 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2-3y+2 right 1 OK right 3y+4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 3y+4 strategic 1 OK subtract 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2 = 2-3y strategic 2 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:07:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2+2 = 2-3y+2 left 2 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2-3y+2 right 2 OK right 3y+4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 3y+4 strategic 2 OK subtract 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2 = 2-3y strategic 3 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2+2 = 2-3y+2 left 3 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2-3y+2 right 3 OK right 4+3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 4+3y strategic 1 OK subtract 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-3y = 4+3y-3y right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-3y = 4 left 1 OK left 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = 4 strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:08:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y/3 = 4/3 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 4/3 right 1 OK right 0.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-2) = 2+(-3y) strategic 2 ERROR answer-check 0.75 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-2) = 2+(-3y) strategic 3 OK rds 6y+(-2) = 2+(-3y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2 = 2-3y strategic 4 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2+2 = 2-3y+2 left 4 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:09:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2-3y+2 right 4 OK right 4-3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 4-3y strategic 1 OK subtract 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-2) = 2+(-3y) strategic 4 OK rds 6y+(-2) = 2+(-3y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2 = 2-3y strategic 5 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2+2 = 2-3y+2 left 5 OK left 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2-3y+2 right 5 OK right -3y+4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = -3y+4 strategic 1 OK add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3y = -3y+4+3y right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+3y = 4 left 1 OK left 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9y = 4 strategic 1 OK divide 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:10:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9y/9 = 4/9 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 4/9 right 1 OK right 0.4444 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+(-2) = 2+(-3y) strategic 5 OK answer-check 0.4444 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-3) = -9+2y strategic 1 OK rds -1y+(-3) = -9+2y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3 = -9+2y strategic 1 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -9+2y+3 right 1 OK right 2y+6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:11:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = 2y+6 left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 2y+6 strategic 1 OK add 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3 = -9+2y strategic 2 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -9+2y+3 right 2 OK right 6+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = 6+2y left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 6+2y strategic 1 OK subtract 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:12:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-2y = 6+2y-2y right 1 OK right 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:13:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3 = -9+2y strategic 3 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:13:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -9+2y+3 right 3 OK right -6+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:13:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -6+2y left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:13:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -6+2y strategic 1 OK add 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+y = -6+2y+y left 1 OK left -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = -6+2y+y right 1 OK right -6+3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = -6+3y strategic 1 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+6 = -6+3y+6 left 1 OK left 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = -6+3y+6 right 1 OK right 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 3y strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:14:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5/3 = 3y/3 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-3) = -9+2y strategic 2 ERROR answer-check 1.6666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5/3 = y left 1 OK left 1.6666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3 = -9+2y strategic 4 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -9+2y+3 right 4 OK right 2y-6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = 2y-6 left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 2y-6 strategic 1 OK subtract 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-2y = 2y-6-2y left 1 OK left 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = 2y-6-2y right 1 OK right -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1y = -6 strategic 1 OK unnec-elems 1y=-6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-3) = -9+2y strategic 3 ERROR answer-check -6 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3 = -9+2y strategic 5 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-3+3 = -9+2y+3 left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -9+2y+3 right 1 OK right -6+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -6+2y strategic 2 OK subtract 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-2y = -6+2y-2y right 1 OK right -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-2y = -6 left 1 OK left -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = -6 strategic 1 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = -6/-3 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -6/-3 right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-3) = -9+2y strategic 4 OK answer-check 2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x = 7+(-3x) strategic 1 ERROR clt 7+4x = 7+(-3x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x = 7+(-3x) strategic 2 OK add 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x+3x = 7+(-3x)+3x right 1 OK right 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x+3x = 7 left 1 OK left 7+7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x = 7 strategic 1 OK subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x-7 = 7-7 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x = 7+(-3x) strategic 3 OK rds 7+4x = 7+(-3x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x = 7-3x strategic 1 OK add 3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x+3x = 7-3x+3x left 1 OK left 7+7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x = 7-3x+3x right 1 OK right 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x = 7 strategic 2 OK subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x-7 = 7-7 right 2 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+7x-7 = 0 left 1 OK left 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 0 strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x/7 = 0/7 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 0/7 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7+4x = 7+(-3x) strategic 4 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-5) = -4+(-9y) strategic 1 OK rds -1y+(-5) = -4+(-9y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-5 = -4-9y strategic 1 OK add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-5+5 = -4-9y+5 left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:19:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -4-9y+5 right 1 OK right 1-9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 1-9y strategic 1 OK add 9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+9y = 1-9y+9y right 1 OK right 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+9y = 1 left 1 OK left 8y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y = 1 strategic 1 OK divide 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y/8 = 1/8 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1/8 right 1 OK right 0.125 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:20:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-5) = -4+(-9y) strategic 2 OK answer-check 0.125 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x+(-5) strategic 1 OK rds 1x+0 = 6x+(-5) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x-5 strategic 1 OK add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x-5+5 right 1 OK right 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x left 1 OK left 1x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+5 = 6x strategic 1 OK unnec-elems 1x+5=6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5 = 6x strategic 1 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:21:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-6x = 6x-6x left 1 OK left -7x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x-5 strategic 2 OK add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x-5+5 left 1 OK left 1x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+5 = 6x-5+5 right 1 OK right 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+5 = 6x strategic 2 OK unnec-elems 1x+5=6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5 = 6x strategic 2 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:22:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-x = 6x-x left 1 OK left 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x-5 strategic 3 OK add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x-5+5 right 2 OK right 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x left 2 OK left x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5 = 6x strategic 3 OK subtract 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-6x = 6x-6x left 2 OK left -7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = 6x-6x right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:23:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = 0 strategic 1 BUG divide 7 In this equation, x is multiplied by -7. Dividing by 7 leaves -x, so you still need to remove the negative sign. It is better to divide by -7, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x/7 = 0/7 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 0/7 right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x+(-5) strategic 2 ERROR answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x-5 strategic 4 OK add 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x-5+5 right 3 OK right 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0+5 = 6x left 3 OK left x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:24:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5 = 6x strategic 4 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-x = 6x-x right 1 OK right -5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-x = -5x left 1 OK left 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5 = 6x strategic 5 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x+5-x = 6x-x left 2 OK left 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 6x-x right 1 OK right 5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 5x strategic 1 OK divide 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5/5 = 5x/5 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5/5 = x left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:25:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1x+0 = 6x+(-5) strategic 3 OK answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 1 OK subtract 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y-1y = 1+7y-1y left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 1+7y-1y right 1 OK right 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 6y strategic 1 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1/6 = 6y/6 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 2 ERROR answer-check 0.1666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 3 OK subtract 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:26:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y-1y = 1+7y-1y right 1 OK right 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:27:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y-1y = 6y left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 6y strategic 2 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:27:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1/6 = 6y/6 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:27:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1/6 = y left 1 OK left 0.1666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:27:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 4 ERROR answer-check 0.1667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 5 OK subtract 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y-1y = 1+7y-1y left 2 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 1+7y-1y right 2 OK right 1+6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 1+6y strategic 1 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1-1 = 1+6y-1 left 1 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 1+6y-1 right 1 OK right 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 6y strategic 1 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:28:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0/6 = 6y/6 left 1 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = 1+6y strategic 2 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1-1 = 1+6y-1 left 2 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 1+6y-1 right 2 OK right 6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 6y strategic 2 OK divide 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0/6 = 6y/6 left 2 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 0 = 6y/6 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1+1y = 1+7y strategic 6 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:29:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9+(-9x) = -2x+10 strategic 1 OK rds 9+(-9x) = -2x+10 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9-9x = -2x+10 strategic 1 OK add 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9-9x+9x = -2x+10+9x right 1 OK right 7x+10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9-9x+9x = 7x+10 left 1 OK left 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9 = 7x+10 strategic 1 OK subtract 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9-10 = 7x+10-10 right 1 OK right 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9-10 = 7x left 1 OK left -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = 7x strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:30:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/7 = 7x/7 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/7 = x left 1 OK left -0.1428 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:31:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9+(-9x) = -2x+10 strategic 2 OK answer-check -0.1429 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:31:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-1y) = -2y+0 strategic 1 OK rds 4+(-1y) = -2y+0 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4-1y = -2y+0 strategic 1 OK add 1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4-1y+y = -2y+0+y right 1 OK right -1y+0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4-1y+y = -1y+0 left 1 OK left 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = -1y+0 strategic 1 OK unnec-elems 4=-1y+0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4 = -1y strategic 1 OK divide -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4/-1 = -1y/-1 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4/-1 = y left 1 OK left -4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:32:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4+(-1y) = -2y+0 strategic 2 OK answer-check -4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:33:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y+(-3.92) = 3.66+(-5.63y) strategic 1 OK rds -2.57y+(-3.92) = 3.66+(-5.63y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:33:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y-3.92 = 3.66-5.63y strategic 1 OK add 3.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:33:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y = 7.58-5.63y strategic 1 ERROR add 2.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:33:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y = 7.58-5.63y strategic 2 ERROR add 2.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:34:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y = 7.58-5.63y strategic 3 ERROR add 5.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:34:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y = 7.58-5.63y strategic 4 ERROR subtract 7.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y-3.92 = 3.66-5.63y strategic 2 OK add 5.63y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 3.06y-3.92 = 3.66 strategic 1 OK add 3.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 3.06y = 7.58 strategic 1 OK divide 3.06 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -2.57y+(-3.92) = 3.66+(-5.63y) strategic 2 OK answer-check 2.4771 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44+(-0.12x) = -0.13+5.32x strategic 1 OK rds -4.44+(-0.12x) = -0.13+5.32x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44-0.12x = -0.13+5.32x strategic 1 ERROR add 0.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44-0.12x = -0.13+5.32x strategic 2 OK add 0.12x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:35:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44 = -0.13+5.44x strategic 1 OK add 0.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.31 = 5.44x strategic 1 OK divide 5.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44+(-0.12x) = -0.13+5.32x strategic 2 OK rds -4.44+(-0.12x) = -0.13+5.32x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44-0.12x = -0.13+5.32x strategic 3 OK add 0.12x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44 = -0.13+5.44x strategic 2 OK add 0.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.31 = 5.44x strategic 2 OK divide 5.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:36:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.44+(-0.12x) = -0.13+5.32x strategic 3 OK answer-check -0.7923 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.67+(-5.27x) = 9.01x+(-5.16) strategic 1 OK rds 7.67+(-5.27x) = 9.01x+(-5.16) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.67-5.27x = 9.01x-5.16 strategic 1 ERROR add 5.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.67-5.27x = 9.01x-5.16 strategic 2 OK add 5.27x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.67 = 14.28x-5.16 strategic 1 OK add 5.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 12.83 = 14.28x strategic 1 OK divide 14.28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:37:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.67+(-5.27x) = 9.01x+(-5.16) strategic 2 OK answer-check 0.8985 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.85y+(-1.32) = -0.42+(-5.34y) strategic 1 OK rds -6.85y+(-1.32) = -0.42+(-5.34y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.85y-1.32 = -0.42-5.34y strategic 1 OK add 6.85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.32 = -0.42+1.51y strategic 1 OK add 0.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.9 = 1.51y strategic 1 ERROR divide 1.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.9 = 1.51y strategic 2 OK divide 1.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:38:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.85y+(-1.32) = -0.42+(-5.34y) strategic 2 OK answer-check -0.5960 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:39:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42+(-7.55y) strategic 1 OK subtract 6.66y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:39:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y-6.66y = 1.42+(-7.55y)-6.66y left 1 OK left 7.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:39:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04 = 1.42+(-7.55y)-6.66y right 1 OK right 0.89y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:40:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42+(-7.55y) strategic 2 OK rds 7.04+6.66y = 1.42+(-7.55y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:40:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42-7.55y strategic 1 ERROR subtract 6.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:40:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y-6.66 = 1.42-7.55y-6.66 left 1 OK left 7.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:40:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04 = 1.42-7.55y-6.66 right 1 OK right 1.42-0.89y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:40:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04 = 1.42-0.89y strategic 1 OK subtract 1.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:41:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04-1.42 = 1.42-0.89y-1.42 left 1 OK left 5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:41:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.62 = 1.42-0.89y-1.42 right 1 OK right 0.89y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:41:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.62 = 0.89y strategic 1 OK divide 0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:41:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.62/0.89 = 0.89y/0.89 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.62/0.89 = y left 1 OK left 6.314 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session2 2007-04-23 13:42:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42+(-7.55y) strategic 3 ERROR answer-check 6.3146 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:08:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42+(-7.55y) strategic 1 OK rds 7.04+6.66y = 1.42+(-7.55y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:08:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42-7.55y strategic 1 ERROR add 7.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:08:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42-7.55y strategic 2 OK add 7.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y+7.55y = 1.42-7.55y+7.55y left 1 OK left 7.4+14.21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42-7.55y strategic 3 OK add 7.55y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:09:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y+7.55y = 1.42-7.55y+7.55y left 2 OK left 7.04+14.21y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:09:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+14.21y = 1.42-7.55y+7.55y right 1 OK right 1.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:09:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+14.21y = 1.42 strategic 1 OK subtract 7.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:10:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+14.21y-7.04 = 1.42-7.04 left 1 OK left 14.21y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:10:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.21y = 1.42-7.04 right 1 OK right -5.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:10:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.21y = -5.62 strategic 1 OK divide 14.21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:10:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04+6.66y = 1.42+(-7.55y) strategic 2 OK answer-check -5.62/14.21 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:10:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.21y+4.59 = 0.61y+0.33 strategic 1 ERROR subtract 0.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:11:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.21y+4.59 = 0.61y+0.33 strategic 2 OK subtract 0.61y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:11:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.21y+4.59-0.61y = 0.61y+0.33-0.61y right 1 OK right 0.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:11:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.21y+4.59-0.61y = 0.33 left 1 OK left 6.6y+4.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:11:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.6y+4.59 = 0.33 strategic 1 OK subtract 4.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.6y+4.59-4.59 = 0.33-4.59 left 1 OK left 6.6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.6y = 0.33-4.59 right 1 OK right -4.26 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.6y = -4.26 strategic 1 OK divide 6.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.21y+4.59 = 0.61y+0.33 strategic 3 OK answer-check -4.26/6.6 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.99y+8.56 = 8.86+8.1y strategic 1 OK subtract 8.1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:12:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.99y+8.56-8.1y = 8.86+8.1y-8.1y right 1 OK right 8.86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:13:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.99y+8.56-8.1y = 8.86 left 1 OK left -2.11y+8.56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:13:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.11y+8.56 = 8.86 strategic 1 OK subtract 8.56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:13:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.11y+8.56-8.56 = 8.86-8.56 left 1 OK left -2.11y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:13:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.11y = 8.86-8.56 right 1 OK right 0.3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:13:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.11y = 0.3 strategic 1 OK divide -2.11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:14:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.99y+8.56 = 8.86+8.1y strategic 2 OK answer-check 0.3/-2.11 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:14:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 1 OK subtract 9.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:14:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -7.76+9.43y-9.43y right 1 OK right -7.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -7.76 left 1 OK left -2.29y+9.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:15:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.29y+9.1 = -7.76 strategic 1 OK subtract 9.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:15:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.29y+9.1-9.1 = -7.76-9.1 left 1 OK left -2.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:15:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.29y = -7.76-9.1 right 1 OK right -1.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:15:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.29y = -1.34 strategic 1 OK divide -2.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:16:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 2 ERROR answer-check -1.34/-2.29 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 3 OK subtract 7.14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:16:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-7.14y = -7.76+9.43y-7.14y left 1 OK left 9.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:16:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1 = -7.76+9.43y-7.14y right 1 OK right 2.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:17:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1 = 2.29y strategic 1 OK divide 2.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 4 OK subtract 9.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:17:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -7.76+9.43y-9.43y right 2 OK right 2.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:18:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 5 OK subtract 9.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -7.76+9.43y-9.43y right 3 OK right -17.19 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:19:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -17.19 left 1 OK left -2.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:19:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 6 OK subtract 9.43y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -7.76+9.43y-9.43y right 4 OK right -17.19 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-9.43y = -17.19 left 2 OK left -2.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.29y = -17.19 strategic 1 OK divide -2.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 7 ERROR answer-check -17.19/-2.29 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 8 ERROR subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 9 OK subtract 7.14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:20:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-7.14y = -7.76+9.43y-7.14y left 2 OK left 9.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1 = -7.76+9.43y-7.14y right 2 OK right 2.29-7.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 10 OK subtract 7.14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1-7.14y = -7.76+9.43y-7.14y left 3 OK left 9.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1 = -7.76+9.43y-7.14y right 3 OK right 2.29y-7.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1 = 2.29y-7.76 strategic 1 OK add 7.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:21:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1+7.76 = 2.29y-7.76+7.76 right 1 OK right 2.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:22:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.1+7.76 = 2.29y left 1 OK left 16.86 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:22:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 16.86 = 2.29y strategic 1 OK divide 2.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session3 2007-04-25 13:22:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.14y+9.1 = -7.76+9.43y strategic 11 OK answer-check 16.86/2.29 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:49:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 1 ERROR add 8.73y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:49:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98+8.73y = 4.49+(-9.42y)+8.73y left 1 OK left 6.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:50:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 2 OK add 8.79y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:50:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98+8.79y = 4.49+(-9.42y)+8.79y left 1 OK left 6.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.98 = 4.49+(-9.42y)+8.79y right 1 OK right 0.63y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.98 = 0.63y strategic 1 OK divide 0.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 3 ERROR answer-check 6.98/0.63 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 4 ERROR add 9.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 5 OK add 9.42y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98+9.42y = 4.49+(-9.42y)+9.42y right 1 OK right 4.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98+9.42y = 4.49 left 1 OK left 0.63y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.63y = 4.49 strategic 1 OK divide 0.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 6 ERROR answer-check 4.49/0.63 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 7 OK subtract 6.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98-6.98 = 4.49+(-9.42y)-6.98 left 1 OK left -8.79 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:52:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79 = 4.49+(-9.42y)-6.98 right 1 OK right -2.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 8 OK subtract 6.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:53:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98-6.98 = 4.49+(-9.42y)-6.98 left 2 OK left -8.79y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:53:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = 4.49+(-9.42y)-6.98 right 1 OK right -2.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -2.49 strategic 1 OK divide -8.79 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 9 ERROR answer-check -2.49/-8.79 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+6.98 = 4.49+(-9.42y) strategic 10 OK answer-check -3.9524 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:54:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 1 OK add 7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:54:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 2 OK add 7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:54:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73)+7.73 = -0.89+6.31y+7.73 left 1 OK left -8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:55:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y = -0.89+6.31y+7.73 right 1 OK right 6.84+6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y = 6.84+6.31y strategic 1 ERROR subtract 6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:55:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-6.84 = 6.84+6.31y-6.84 right 1 OK right 6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:55:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 3 OK add 8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:55:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73)+8.05y = -0.89+6.31y+8.05y left 1 OK left -7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:56:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73 = -0.89+6.31y+8.05y right 1 OK right 811.31-0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:56:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 4 OK rds -8.05y+(-7.73) = -0.89+6.31y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:56:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 1 ERROR add 8.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:56:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05 = -0.89+6.31y+8.05 left 1 OK left -7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:57:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73 = -0.89+6.31y+8.05 right 1 OK right 811.31y-0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:57:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73 = 811.31y-0.89 strategic 1 OK add 0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:57:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73+0.89 = 811.31y-0.89+0.89 right 1 OK right 811.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:57:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73+0.89 = 811.31y left 1 OK left -6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:57:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.84 = 811.31y strategic 1 OK divide 811.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 5 ERROR answer-check -6.84/811.31 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:58:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 6 OK rds -8.05y+(-7.73) = -0.89+6.31y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:58:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 2 ERROR subtract 6.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:58:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 3 OK subtract 6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:58:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73-6.31y = -0.89+6.31y-6.31y right 1 OK right -0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73-6.31y = -0.89 left 1 OK left -14.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 4 ERROR subtract 6.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 5 OK subtract 6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73-6.31y = -0.89+6.31y-6.31y right 2 OK right -0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73-6.31y = -0.89 left 2 OK left -14.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -14.36y = -0.89 strategic 1 OK divide -14.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 12:59:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 7 ERROR answer-check -0.89/-14.36 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 8 OK rds -8.05y+(-7.73) = -0.89+6.31y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 6 ERROR add 7.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+7.33 = -0.89+6.31y+7.33 right 1 OK right 6.44+6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+7.33 = 6.44+6.31y left 1 OK left -8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y = 6.44+6.31y strategic 1 ERROR subtract 6.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:00:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-6.44 = 6.44+6.31y-6.44 right 1 OK right 6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:01:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 9 OK add 0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:01:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73)+0.89 = -0.89+6.31y+0.89 right 1 OK right 6.31y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:02:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73)+0.89 = 6.31y left 1 OK left -8.05y-6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:02:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-6.84 = 6.31y strategic 1 ERROR add 6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:02:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-6.84+6.84 = 6.31y+6.84 left 1 OK left -8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:02:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y = 6.31y+6.84 right 1 OK right 6.31y+6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:02:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y = 6.31y+6.84 strategic 1 OK add 8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:03:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 10 OK rds -8.05y+(-7.73) = -0.89+6.31y strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:03:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 7 ERROR add 8.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:03:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05 = -0.89+6.31y+8.05 left 2 OK left -7.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:03:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 8 OK add 8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:04:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05y = -0.89+6.31y+8.05y right 1 OK right 14.36-0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:04:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 9 OK add 8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:04:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05y = -0.89+6.31y+8.05y right 2 OK right 14.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:04:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73 = -0.89+6.31y strategic 10 OK add 8.05y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:04:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05y = -0.89+6.31y+8.05y right 3 OK right 14.36y-0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:05:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y-7.73+8.05y = 14.36y-0.89 left 1 OK left -7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:05:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73 = 14.36y-0.89 strategic 1 OK add 0.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:05:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73+0.89 = 14.36y-0.89+0.89 right 1 OK right 14.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:05:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.73+0.89 = 14.36y left 1 OK left -6.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.84 = 14.36y strategic 1 OK divide 14.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:06:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.05y+(-7.73) = -0.89+6.31y strategic 11 OK answer-check -6.84/14.36 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:06:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46+(-7.66x) = -9.8x+(-0.92) strategic 1 OK rds -2.46+(-7.66x) = -9.8x+(-0.92) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:06:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46-7.66x = -9.8x-0.92 strategic 1 OK add 7.66x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46-7.66x+7.66x = -9.8x-0.92+7.66x left 1 OK left -2.46 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:06:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46 = -9.8x-0.92+7.66x right 1 OK right -2.14x-0.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46 = -2.14x-0.92 strategic 1 OK add 0.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46+0.92 = -2.14x-0.92+0.92 right 1 OK right -2.14x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46+0.92 = -2.14x left 1 OK left -1.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.54 = -2.14x strategic 1 OK divide -2.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.46+(-7.66x) = -9.8x+(-0.92) strategic 2 OK answer-check -1.54/-2.14 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:07:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.48y+7.45 = 8.59+5.31y strategic 1 OK subtract 0.48y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:08:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.48y+7.45-0.48y = 8.59+5.31y-0.48y left 1 OK left 7.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:08:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.45 = 8.59+5.31y-0.48y right 1 OK right 4.83y+8.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:08:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.45 = 4.83y+8.59 strategic 1 OK subtract 8.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:08:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.45-8.59 = 4.83y+8.59-8.59 right 1 OK right 4.83y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:08:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.45-8.59 = 4.83y left 1 OK left -1.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.14 = 4.83y strategic 1 OK divide 4.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:09:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.48y+7.45 = 8.59+5.31y strategic 2 OK answer-check -1.14/4.83 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 1 OK rds -8.14y+(-8.44) = 9.95+(-3.78y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:09:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44 = 9.95-3.78y strategic 1 OK add 8.14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:09:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44+8.14y = 9.95-3.78y+8.14y right 1 OK right 4.36y-9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44+8.14y = 4.36y-9.95 left 1 OK left -8.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44 = 4.36y-9.95 strategic 1 OK add 9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44+9.95 = 4.36y-9.95+9.95 right 1 OK right 4.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44+9.95 = 4.36y left 1 OK left 1.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.51 = 4.36y strategic 1 OK divide 4.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:10:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 2 ERROR answer-check 1.51/4.36 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:11:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 3 OK rds -8.14y+(-8.44) = 9.95+(-3.78y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44 = 9.95-3.78y strategic 2 OK add 3.78y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44+3.78y = 9.95-3.78y+3.78y right 1 OK right 9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:11:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44+3.78y = 9.95 left 1 OK left -4.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.36y = 9.95 strategic 1 OK divide -4.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 4 ERROR answer-check 9.95/-4.36 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:12:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 5 OK rds -8.14y+(-8.44) = 9.95+(-3.78y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:12:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44 = 9.95-3.78y strategic 3 OK add 8.14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:12:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y-8.44+8.14y = 9.95-3.78y+8.14y left 1 OK left -8.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:12:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44 = 9.95-3.78y+8.14y right 1 OK right 4.36y-9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44 = 4.36y-9.95 strategic 2 OK add 9.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.44+9.95 = 4.36y-9.95+9.95 left 1 OK left 1.51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.51 = 4.36y-9.95+9.95 right 1 OK right 4.36y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.51 = 4.36y strategic 2 OK divide 4.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 6 ERROR answer-check 151/4.36 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:13:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.14y+(-8.44) = 9.95+(-3.78y) strategic 7 OK answer-check -4.2179 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:14:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36+4.35x = 3.81x+4.58 strategic 1 OK subtract 4.35x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:14:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36+4.35x-4.35x = 3.81x+4.58-4.35x right 1 OK right -0.54x+4.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:14:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36+4.35x-4.35x = -0.54x+4.58 left 1 OK left 0.36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:14:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36 = -0.54x+4.58 strategic 1 OK subtract 4.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:15:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36-4.58 = -0.54x+4.58-4.58 left 1 OK left -4.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:15:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.22 = -0.54x+4.58-4.58 right 1 OK right -0.54x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:15:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.22 = -0.54x strategic 1 OK divide -0.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:15:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.36+4.35x = 3.81x+4.58 strategic 2 OK answer-check -4.22/-0.54 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:15:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.6+1.62y = 6.52+(-3.21y) strategic 1 OK rds 2.6+1.62y = 6.52+(-3.21y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.6+1.62y = 6.52-3.21y strategic 1 OK add 3.21y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.6+1.62y+3.21y = 6.52-3.21y+3.21y right 1 OK right 6.52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.6+1.62y+3.21y = 6.52 left 1 OK left 4.83y+2.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.83y+2.6 = 6.52 strategic 1 OK subtract 2.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.83y+2.6-2.6 = 6.52-2.6 right 1 OK right 3.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.83y+2.6-2.6 = 3.92 left 1 OK left 4.83y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:16:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.83y = 3.92 strategic 1 OK divide 4.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:17:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.6+1.62y = 6.52+(-3.21y) strategic 2 OK answer-check 3.92/4.83 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:17:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y+(-71.97) = 33.9y+(-9.57) strategic 1 OK rds -2.71y+(-71.97) = 33.9y+(-9.57) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:17:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y-71.97 = 33.9y-9.57 strategic 1 OK add 71.97 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:17:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y = 33.9y+62.4 strategic 1 ERROR subtract 62.4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:18:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y = 33.9y+62.4 strategic 2 ERROR subtract 33.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:18:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y-33.9 = 33.9y+28.5 strategic 1 ERROR clt -2.71y-33.9 = 33.9y+28.5 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:18:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y = 33.9y+62.4 strategic 3 OK subtract 33.9y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:18:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -36.61y = 62.4 strategic 1 OK divide -36.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:18:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y+(-71.97) = 33.9y+(-9.57) strategic 2 ERROR answer-check 1.7045 condition 3 Consolidate variables, decimals>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W1SLytJ session4 2007-04-27 13:19:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -2.71y+(-71.97) = 33.9y+(-9.57) strategic 3 OK answer-check -1.7045 condition 3 Consolidate variables, decimals>10000. wilkinsburghs-15221 248v318ejl--6--Alg I W4712vM session0 2007-04-27 08:29:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:29:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide 1444 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:30:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:30:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:30:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 7x+40 = -79 strategic 1 OK subtract 40 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:30:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 7x = -119 strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C 5.57 = -1.25y+(-0.78) strategic 1 OK add 0.78 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C 6.35 = -1.25y strategic 1 OK divide -1.25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -77+47y = -96 strategic 1 ERROR subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -77+47y = -96 strategic 2 OK add 77 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 47y = -19 strategic 1 OK divide 47 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -13.43+4.83y = 13.34 strategic 1 OK add 13.43 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:31:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 4.83y = 26.77 strategic 1 OK divide 4.83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87+(-79.06x) = -62.88 strategic 1 ERROR add 79.06 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87+(-79.06x) = -62.88 strategic 2 BUG add 9.87 Since 9.87 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 9.87 from both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:25.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 19.74-79.06x = -53.01 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:26.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 null strategic 1 HINT_LEVEL_CHANGE 19.74 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 19.74 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:30.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 9.87+(-79.06x) = -62.88 strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:31.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87+(-79.06x) = -62.88 strategic 4 OK rds 9.87+(-79.06x) = -62.88 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87-79.06x = -62.88 strategic 1 BUG add 9.87 Since 9.87 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 9.87 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87-79.06x = -62.88 strategic 2 BUG subtract -9.87 To remove 9.87 from the left side, you can subtract a positive from it. Erase your last step and subtract 9.87 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87-79.06x = -62.88 strategic 3 ERROR add 62.88 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:12.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 9.87-79.06x = -62.88 strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:13.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 null strategic 3 HINT_LEVEL_CHANGE 9.87 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9.87 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:17.0 HINT HINT HW_CONDN2 HW_CONDN2-1 EG42 null strategic 4 HINT_LEVEL_CHANGE You can subtract 9.87 from both sides of the equation to eliminate the constant value of 9.87 (9.87 - 9.87 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 9.87-79.06x = -62.88 strategic 5 OK subtract 9.87 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -79.06x = -72.75 strategic 1 OK divide -79.06 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y+(-6350) = -9332 strategic 1 ERROR clt -4737y+(-6350) = -9332 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y+(-6350) = -9332 strategic 2 OK rds -4737y+(-6350) = -9332 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y-6350 = -9332 strategic 1 OK add 6350 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:34:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y = -2982 strategic 1 BUG divide 4737 In this equation, y is multiplied by -4737. Dividing by 4737 leaves -y, so you still need to remove the negative sign. It is better to divide by -4737, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:34:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y = -2982 strategic 2 ERROR add 2982 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y = -2982 strategic 3 BUG add -2982 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:34:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4737y = -2982 strategic 4 OK divide -4737 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -5.52 = -7.46+10.22y strategic 1 OK add 7.46 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 1.94 = 10.22y strategic 1 OK divide 10.22 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41+(-9.25x) = 14.61 strategic 1 ERROR clt 1.41+(-9.25x) = 14.61 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41+(-9.25x) = 14.61 strategic 2 OK rds 1.41+(-9.25x) = 14.61 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41-9.25x = 14.61 strategic 1 BUG add 1.41 Since 1.41 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1.41 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41-9.25x = 14.61 strategic 2 BUG subtract 14.61 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:50.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C 1.41-9.25x = 14.61 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:51.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C null strategic 1 HINT_LEVEL_CHANGE 1.41 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1.41 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:35:54.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42C null strategic 2 HINT_LEVEL_CHANGE You can subtract 1.41 from both sides of the equation to eliminate the constant value of 1.41 (1.41 - 1.41 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41-9.25x = 14.61 strategic 4 OK subtract 1.41 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 1.41-9.25x-1.41 = 14.61-1.41 left 1 OK left -9.25x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.25x = 14.61-1.41 right 1 OK right 13.20 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.25x = 13.2 strategic 1 OK divide -9.25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.25x/-9.25 = 13.2/-9.25 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:36:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C x = 13.2/-9.25 right 1 OK right -1.427 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:37:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 2708 = 7927+(-3572y) strategic 1 OK rds 2708 = 7927+(-3572y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:37:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 2708 = 7927-3572y strategic 1 OK subtract 7927 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:37:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 2708-7927 = 7927-3572y-7927 left 1 OK left -5219 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5219 = 7927-3572y-7927 right 1 OK right -3572y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:37:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5219 = -3572y strategic 1 OK divide -3572 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5219/-3572 = -3572y/-3572 left 1 ERROR left -1.674 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5219/-3572 = -3572y/-3572 left 2 BUG left -1.461 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5219/-3572 = -3572y/-3572 left 3 OK left 1.461 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 1.46108623 = -3572y/-3572 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -6.94 = 4.14y+2.48 strategic 1 ERROR rf -6.94 = 4.14y+2.48 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -6.94 = 4.14y+2.48 strategic 2 ERROR rds -6.94 = 4.14y+2.48 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:38:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -6.94 = 4.14y+2.48 strategic 3 OK subtract 2.48 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -6.94-2.48 = 4.14y+2.48-2.48 left 1 OK left -9.42 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -9.42 = 4.14y+2.48-2.48 right 1 OK right 4.14y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -9.42 = 4.14y strategic 1 OK divide 4.14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -9.42/4.14 = 4.14y/4.14 left 1 BUG left 2.275 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -9.42/4.14 = 4.14y/4.14 left 2 OK left -2.275 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -2.27536232 = 4.14y/4.14 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 40+(-87x) = -3 strategic 1 OK rds 40+(-87x) = -3 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 40-87x = -3 strategic 1 OK subtract 40 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 40-87x-40 = -3-40 left 1 ERROR left 47 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 40-87x-40 = -3-40 left 2 BUG left 87x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 40-87x-40 = -3-40 left 3 OK left -87x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -87x = -3-40 right 1 OK right -43 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:40:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -87x = -43 strategic 1 OK divide -87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:41:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -87x/-87 = -43/-87 right 1 OK right 0.494 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:41:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -87x/-87 = 0.49425287 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:41:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -45.07+91.31y = 23.3 strategic 1 OK add 45.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:41:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -45.07+91.31y+45.07 = 23.3+45.07 left 1 OK left 91.31y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:42:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 91.31y = 23.3+45.07 right 1 ERROR right 68.3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:42:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 91.31y = 23.3+45.07 right 2 OK right 68.37 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:42:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 91.31y = 68.37 strategic 1 OK divide 91.31 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:42:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 91.31y/91.31 = 68.37/91.31 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:42:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = 68.37/91.31 right 1 OK right 0.748 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y+(-20) = 81 strategic 1 OK rds 90y+(-20) = 81 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y-20 = 81 strategic 1 OK add 20 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y-20+20 = 81+20 left 1 OK left 90y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y = 81+20 right 1 OK right 101 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y = 101 strategic 1 OK divide 90 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y/90 = 101/90 right 1 OK right 1.12222 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 90y/90 = 1.12222222 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:43:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -49/y+9 = 77 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -49/y = 68 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -49 = 68y strategic 1 OK divide 68 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -49/68 = y strategic 1 BUG rf -49/68 = y strategic You already solved the equation. y is -49/68. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -26+(-34/y) = 92 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 (-26-34/y)*y = 92y strategic 1 ERROR rds (-26-34/y)*y = 92y strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 (-26-34/y)*y = 92y strategic 2 ERROR add 26 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:58.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59 (-26-34/y)*y = 92y strategic 3 INITIAL_HINT condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:44:59.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59 null strategic 1 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 (-26-34/y)*y = 92y strategic 4 OK distribute (-26-34/y)*y condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -26y-34 = 92y strategic 1 ERROR add 34 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -26y-34 = 92y strategic 2 BUG add -34 To remove -34 from the left side, you can add a positive to it. Erase your last step and add 34 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:21.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59 -26y-34 = 92y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:22.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Move 26y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -26y-34 = 92y strategic 4 OK add 26y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -34 = 118y strategic 1 OK divide 118 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:45:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714/y+196 = 184 strategic 1 ERROR add 714 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714/y+196 = 184 strategic 2 ERROR add y condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:07.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A -714/y+196 = 184 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:08.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 1 HINT_LEVEL_CHANGE 196 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 196 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714/y+196 = 184 strategic 4 OK subtract 196 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:24.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A -714/y = -12 strategic 1 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:25.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 2 HINT_LEVEL_CHANGE -714/y is -714 divided by y. How do you undo division? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714/y = -12 strategic 2 ERROR divide y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:35.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A -714/y = -12 strategic 3 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:36.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 3 HINT_LEVEL_CHANGE -714/y is -714 divided by y. How do you undo division? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:39.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714/y = -12 strategic 4 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714 = -12y strategic 1 ERROR add 714 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:46:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -714 = -12y strategic 2 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -3 = 28/y+49 strategic 1 OK subtract 49 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -52 = 28/y strategic 1 ERROR add 52 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -52 = 28/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -52y = 28 strategic 1 OK divide -52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -179/x+(-495) = 757 strategic 1 OK add 495 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -179/x = 1252 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -179 = 1252x strategic 1 OK divide 1252 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:47:59.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A -590 = 630+(-100/y) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:01.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590 = 630+(-100/y) strategic 2 ERROR rf -590 = 630+(-100/y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590 = 630+(-100/y) strategic 3 OK rds -590 = 630+(-100/y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590 = 630-100/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590y = (630-100/y)*y strategic 1 OK distribute (630-100/y)*y condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590y = 630y-100 strategic 1 ERROR clt -590y = 630y-100 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:31.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A -590y = 630y-100 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:31.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Move 630y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:35.0 HINT HINT HW_CONDN2 HW_CONDN2-3 EG59A null strategic 3 HINT_LEVEL_CHANGE Subtract 630y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590y = 630y-100 strategic 3 ERROR subtract 630 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -590y = 630y-100 strategic 4 OK subtract 630y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:48:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1220y = -100 strategic 1 OK divide -1220 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 76/y+(-178) = -362 strategic 1 OK add 178 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 76/y = -184 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 76 = -184y strategic 1 BUG divide 184 In this equation, y is multiplied by -184. Dividing by 184 leaves -y, so you still need to remove the negative sign. It is better to divide by -184, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 76 = -184y strategic 2 OK divide -184 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593 = -158+(-447/x) strategic 1 OK rds -593 = -158+(-447/x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:49:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593 = -158-447/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x left 1 OK left -593x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x right 1 ERROR right -158-447 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x right 2 ERROR right -158-447x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:21.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:21.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 1 HINT_LEVEL_CHANGE Type in (-158-447/x)*x on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x right 3 OK right (-158-447/x)*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:55.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x strategic 2 INITIAL_HINT condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:56.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 2 HINT_LEVEL_CHANGE Distribute on the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:50:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = (-158-447/x)*x strategic 3 OK distribute (-158-447/x)*x condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A di-expr strategic 1 BUG -158-447/x You must choose to distribute the factor with one term, x, instead of the quantity (-158-447/x). BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A di-expr strategic 2 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-0-term0 strategic 1 ERROR - condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-0-term0 strategic 2 OK -158 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row1-0-term1 strategic 1 OK -447/x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:51:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2-0-term0 strategic 1 OK -158x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A row2-0-term1 strategic 1 OK -447 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A FinalAnswer strategic 1 OK -158x+-447 condition 2 distribute-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A -593x = -158x-447 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:34.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 3 HINT_LEVEL_CHANGE Move 158x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:45.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59A null strategic 4 HINT_LEVEL_CHANGE Add 158x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:52:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x = -158x-447 strategic 2 OK add 158x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:53:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x+158x = -158x-447+158x right 1 BUG right 447 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:53:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x+158x = -158x-447+158x right 2 OK right -447 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:53:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -593x+158x = -447 left 1 OK left -435x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:54:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -435x = -447 strategic 1 OK divide -435 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:54:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -435x/-435 = -447/-435 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:54:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = -447/-435 right 1 OK right 1.027 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:55:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 40 = 82/x+(-71) strategic 1 OK add 71 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:55:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 40+71 = 82/x+(-71)+71 left 1 OK left 111 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:55:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111 = 82/x+(-71)+71 right 1 OK right 82/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:55:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111 = 82/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x left 1 OK left 111x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x right 1 ERROR right 82x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x right 2 BUG right 82/x You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:33.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 2 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:35.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 1 HINT_LEVEL_CHANGE Type in 82/x*x on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x right 3 OK right 82/x*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:56:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 3 BUG divide 111x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 4 BUG multiply 111x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 5 BUG multiply x Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82/x*x strategic 6 OK mt 82/x*x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-num-node strategic 1 ERROR 82 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-num-node strategic 2 OK 82x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-den-node strategic 1 ERROR x1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 pm-r-den-node strategic 2 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 1 OK 82x/x condition 2 perform-mult-r-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:57:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82x/x strategic 1 BUG divide 111x Simplify the fraction 82x/x. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82x/x strategic 2 OK rf 82x/x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-constant factors strategic 1 OK 82 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-N-x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 1 ERROR 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-x strategic 1 OK 1/[x] condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 1 BUG 82 82
Perhaps you should fill in the denominator of the constant factors above. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row1-D-constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 2 ERROR 82/1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:49.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 3 INITIAL_HINT 82/1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 4 ERROR 82 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:58:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 5 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 6 ERROR 81 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:02.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 7 INITIAL_HINT 81 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 8 ERROR 82x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:41.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 9 INITIAL_HINT 82x You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:45.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 10 INITIAL_HINT 82x You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:47.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 2 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 82 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 08:59:52.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 3 HINT_LEVEL_CHANGE 1 will go into both 82 and 1 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 11 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:09.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 12 INITIAL_HINT x 1 will go into both 82 and 1 and is the most appropriate common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2constant factors strategic 13 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row2x strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-constant factors strategic 1 OK 82 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 1 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-N-x strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 1 ERROR 82 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 2 ERROR 82x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-constant factors strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 1 ERROR x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 row3-D-x strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 2 ERROR 82/1+1/1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:04.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 3 INITIAL_HINT 82/1+1/1 In the above expression you have 82x/x. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:07.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide x into 82x. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:07.0 HINT HINT HW_CONDN2 HW_CONDN2-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Type 82. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 FinalAnswer strategic 4 OK 82 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x = 82 strategic 1 OK divide 111 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 111x/111 = 82/111 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = 82/111 right 1 OK right 0.738 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:01:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 64 = -80+(-47/x) strategic 1 ERROR distribute 64 = -80+(-47/x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 64 = -80+(-47/x) strategic 2 OK add 80 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 64+80 = -80+(-47/x)+80 left 1 OK left 144 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144 = -80+(-47/x)+80 right 1 OK right -47/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144 = -47/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x = -47/x*x left 1 OK left 144x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x = -47/x*x right 1 ERROR right 47x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x = -47/x*x right 2 BUG right 47 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x = -47/x*x right 3 OK right -47 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x = -47 strategic 1 OK divide 144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:02:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 144x/144 = -47/144 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -47/144 right 1 BUG right 0.326 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -47/144 right 2 OK right -0.326 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y+(-3) = 6y+(-2) strategic 1 ERROR clt -9y+(-3) = 6y+(-2) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y+(-3) = 6y+(-2) strategic 2 OK rds -9y+(-3) = 6y+(-2) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y-3 = 6y-2 strategic 1 ERROR clt -9y-3 = 6y-2 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:03:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y-3 = 6y-2 strategic 2 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 1 ERROR divide 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:04.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:05.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 null strategic 1 HINT_LEVEL_CHANGE Move 6y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 3 BUG divide 6 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 4 ERROR divide 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:24.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:25.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 null strategic 2 HINT_LEVEL_CHANGE Move 6y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:29.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 6y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -9y = 6y+1 strategic 6 OK subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -15y = 1 strategic 1 OK divide -15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:04:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+4x = -1x+8 strategic 1 ERROR clt -4+4x = -1x+8 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:05:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+4x = -1x+8 strategic 2 ERROR rds -4+4x = -1x+8 strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:05:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+4x = -1x+8 strategic 3 OK add 4 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:05:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = -x+12 strategic 1 OK add x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:05:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = 12 strategic 1 BUG divide 5x Dividing anything by itself will leave 1. If you divide 5x by 5, x will be left. Erase your last step and then divide by 5. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:05:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = 12 strategic 2 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x+4 = 4x+0 strategic 1 OK subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x = 4x-4 strategic 1 BUG divide 10 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x = 4x-4 strategic 2 ERROR add 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x = 4x-4 strategic 3 BUG divide 4 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:31.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 10x = 4x-4 strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:37.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:41.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 4x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:11:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x = 4x-4 strategic 5 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x = -4 strategic 1 BUG divide 6x Dividing anything by itself will leave 1. If you divide 6x by 6, x will be left. Erase your last step and then divide by 6. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6x = -4 strategic 2 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x+6 = -7x+(-1) strategic 1 ERROR distribute 2x+6 = -7x+(-1) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x+6 = -7x+(-1) strategic 2 ERROR clt 2x+6 = -7x+(-1) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x+6 = -7x+(-1) strategic 3 OK rds 2x+6 = -7x+(-1) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:12:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x+6 = -7x-1 strategic 1 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6 = -9x-1 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7 = -9x strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+(-1x) = 6+(-1x) strategic 1 OK rds -4+(-1x) = 6+(-1x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4-1x = 6-1x strategic 1 OK add 1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4 = 6 strategic 1 BUG add 4 You already solved the equation. -4 can never be equal to 6, so there is no solution to this equation. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4 = 6 strategic 2 BUG add 4 You already solved the equation. -4 can never be equal to 6, so there is no solution to this equation. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:47.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -4 = 6 strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:13:48.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Since -4 never equals 6, no value of x will make this equation true. -4+[-1x] is never equal to 6+[-1x]. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:16:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x = -3+6x strategic 1 ERROR clt 1+4x = -3+6x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x = -3+6x strategic 2 ERROR rds 1+4x = -3+6x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:09.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1+4x = -3+6x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:10.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 6x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 6x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x = -3+6x strategic 4 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3+6x-6x right 1 OK right -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 1+4x-6x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:17:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 left 1 BUG left 1+4x+6x 1+4x+6x is equal to 1+4x plus 6x. You need to calculate 1+4x minus 6x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:18:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 left 2 ERROR left 5x+6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:18:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:18:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in 1+4x-6x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:18:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 left 3 OK left 1+4x-6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:18:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x = -3 strategic 3 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:19:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-6x-1 = -3-1 left 1 OK left 4x-6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:20:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x-6x = -3-1 right 1 OK right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:20:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x-6x = -4 strategic 1 OK clt 4x-6x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:20:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -2x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:21:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = -4 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:21:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x/-2 = -4/-2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:21:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -4/-2 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:21:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7+(-8y) strategic 1 OK clt 2y+0 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:22:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 2y+0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:23:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7+(-8y) strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:23:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:23:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7+(-8y) strategic 3 OK rds 2y+0 = 7+(-8y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:23:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7-8y strategic 1 OK clt 2y+0 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:23:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:24:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:24:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 OK +0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:24:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:24:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:25:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 2y+0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:25:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7-8y strategic 2 BUG divide 2y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:25:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7-8y strategic 3 ERROR distribute 2y+0 = 7-8y strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:25:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+0 = 7-8y strategic 4 OK clt 2y+0 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 5 OK +0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 ERROR 27 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK 2y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 2y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 7-8y strategic 1 ERROR divide 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 7-8y strategic 2 BUG divide 2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 7-8y strategic 3 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+8y = 7-8y+8y left 1 OK left 10y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:26:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = 7-8y+8y right 1 OK right 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = 7 strategic 1 BUG divide 10y Dividing anything by itself will leave 1. If you divide 10y by 10, y will be left. Erase your last step and then divide by 10. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = 7 strategic 2 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:27:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y/10 = 7/10 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:27:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 7/10 right 1 OK right 0.7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:27:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y = 4y+1 strategic 1 ERROR clt -9+3y = 4y+1 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y = 4y+1 strategic 2 ERROR rds -9+3y = 4y+1 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y = 4y+1 strategic 3 ERROR distribute -9+3y = 4y+1 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y = 4y+1 strategic 4 ERROR rds -9+3y = 4y+1 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y = 4y+1 strategic 5 OK add 9 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+3y+9 = 4y+1+9 left 1 OK left 3y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:28:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+1+9 right 1 OK right 4y+1+9 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+1+9 strategic 1 BUG subtract 1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+1+9 strategic 2 OK clt 4y+1+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK 4y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK +1 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +9 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 4y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 10 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 4y+10 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 1 ERROR clt 3y = 4y+10 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:29:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 2 ERROR subtract 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 3 ERROR divide 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 4 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:30:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y left 1 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y left 2 BUG left 3y+3y 3y+3y is equal to 3y plus 3y. You need to calculate 3y minus 3y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:31:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y left 3 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:31:59.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:32:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 3y-3y on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y left 4 BUG left 3y+3y 3y+3y is equal to 3y plus 3y. You need to calculate 3y minus 3y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:32:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y left 5 OK left 3y-3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:32:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y right 1 BUG right 7y+10 7y+10 is equal to 4y+10 plus 3y. You need to calculate 4y+10 minus 3y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:33:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:33:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 4y+10-3y on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:33:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y right 2 BUG right 4y+10+3y 4y+10+3y is equal to 4y+10 plus 3y. You need to calculate 4y+10 minus 3y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:34:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-3y = 4y+10-3y right 3 BUG right 7y+10 7y+10 is equal to 4y+10 plus 3y. You need to calculate 4y+10 minus 3y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 4y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract 4y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 4y+10 strategic 6 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-4y = 4y+10-4y left 1 BUG left 1y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-4y = 4y+10-4y left 2 OK left -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:35:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = 4y+10-4y right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = 10 strategic 1 OK add 1y condition 2 [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:36:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y left 1 ERROR left 1y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:36:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y right 1 ERROR right 10y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:36:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y right 2 ERROR right 10+yy condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y right 3 OK right 10+y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y strategic 1 INITIAL_HINT condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y strategic 2 INITIAL_HINT condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:12.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -1y+y on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y left 2 OK left -1y+y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+y = 10+y strategic 3 OK clt -1y+y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:37:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR -1y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:38:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 INITIAL_HINT -1y In the group above, -1y and y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:38:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE The coefficients in [-1y]+[y] are -1 and 1. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session0 2007-04-27 09:38:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Combining the like terms -1y and y results in 0 HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:28:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR -y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR -1y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:08.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 INITIAL_HINT -1y Combining the like terms -1y and y results in 0 HINT 3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 10+y strategic 1 OK subtract 10 condition 2 [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-10 = 10+y-10 left 1 BUG left 10 10 is equal to 0 plus 10. You need to calculate 0 minus 10. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-10 = 10+y-10 left 2 OK left -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10 = 10+y-10 right 1 OK right y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10 = y strategic 1 BUG add 10 You already solved the equation. y is -10. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10 = y strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:29:52.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-5) = 6+(-3x) strategic 1 ERROR clt -7x+(-5) = 6+(-3x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-5) = 6+(-3x) strategic 2 ERROR mt -7x+(-5) = 6+(-3x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-5) = 6+(-3x) strategic 3 ERROR clt -7x+(-5) = 6+(-3x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-5) = 6+(-3x) strategic 4 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x+(-5) = 6+(-3x) strategic 5 OK rds -7x+(-5) = 6+(-3x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5 = 6-3x strategic 1 ERROR clt -7x-5 = 6-3x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5 = 6-3x strategic 2 ERROR distribute -7x-5 = 6-3x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:30:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5 = 6-3x strategic 3 ERROR add -7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5 = 6-3x strategic 4 ERROR add -3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:31:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5 = 6-3x strategic 5 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:31:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5+7x = 6-3x+7x left 1 BUG left 5 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:31:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x-5+7x = 6-3x+7x left 2 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:31:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x right 1 BUG right 6-10x 6-10x is equal to 6-3x minus 7x. You need to calculate 6-3x plus 7x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x right 2 ERROR right 3x+t condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x right 3 ERROR right 3x+7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:16.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in 6-3x+7x on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x right 4 OK right 6-3x+7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x strategic 2 BUG add 5 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 6-3x+7x strategic 3 OK clt 6-3x+7x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 3 OK -3x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:32:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG +7x +7x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +7x, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 2 OK +7x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 4x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 4x+6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 4x+6 strategic 1 ERROR add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = 4x+6 strategic 2 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:33:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5-6 = 4x+6-6 left 1 OK left -11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -11 = 4x+6-6 right 1 OK right 4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -11 = 4x strategic 1 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -11 = 4x strategic 2 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -11/4 = 4x/4 left 1 OK left -2.75 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2.75 = 4x/4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7 = 6y+(-6) strategic 1 OK add 6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:34:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7+6 = 6y+(-6)+6 right 1 OK right 6y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7+6 = 6y left 1 OK left 5y+7+6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7+6 = 6y strategic 1 OK subtract 5y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7+6-5y = 6y-5y right 1 OK right 1y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y+7+6-5y = 1y left 1 OK left 7+6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+6 = 1y strategic 1 OK unnec-elems 7+6=1y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+6 = y strategic 1 OK clt 7+6 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 13 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+0 = -8+(-4x) strategic 1 OK add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4x+0+4x = -8+(-4x)+4x left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -8+(-4x)+4x right 1 ERROR right -7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:35:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -8+(-4x)+4x right 2 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -8 strategic 1 BUG add 88 You already solved the equation. 0 can never be equal to -8, so there is no solution to this equation. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = -8 strategic 2 BUG add 8 You already solved the equation. 0 can never be equal to -8, so there is no solution to this equation. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+(-4) = 2x+(-2) strategic 1 OK add 4 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+(-4)+4 = 2x+(-2)+4 left 1 OK left -6x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = 2x+(-2)+4 right 1 OK right 2x+(-2)+4 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:36:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = 2x-2+4 strategic 1 OK add 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+6x = 2x-2+4+6x left 1 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+6x = 2x-2+4+6x left 2 ERROR left -x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+6x = 2x-2+4+6x left 3 BUG left -12x -12x is equal to -6x minus 6x. You need to calculate -6x plus 6x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+6x = 2x-2+4+6x left 4 OK left 0x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = 2x-2+4+6x right 1 OK right 2x-2+4+6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:37:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = 2x-2+4+6x strategic 1 BUG add 2 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = 2x-2+4+6x strategic 2 OK clt 2x-2+4+6x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK 2x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 2 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 3 BUG +4 +4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +4, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +4 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 4 OK +6x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 8x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 8x+2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = 8x+2 strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:38:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x+2-2 left 1 BUG left -2 Just subtract 2 from 0x. You can simplify in the next step. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x+2-2 left 2 ERROR left -2x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x+2-2 left 3 OK left 0x-2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x+2-2 right 1 OK right 8x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 1 BUG add 2 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 2 BUG add 2 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 3 BUG divide 8x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 4 OK mt 0x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 OK x condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 0x condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 5 BUG add 2 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 6 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x-2 = 8x strategic 7 OK mt 0x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 3 OK x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 2 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 3 OK x condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 0 condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-2 = 8x strategic 1 OK unnec-elems 0-2=8x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:40:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 8x strategic 1 ERROR divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/-8 = 8x/-8 left 1 OK left 0.25 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0.25 = 8x/-8 right 1 BUG right x You are dividing a positive by a negative. The result should be negative. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0.25 = 8x/-8 right 2 OK right -x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 8x strategic 2 ERROR add 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:30.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -2 = 8x strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:31.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE 8x is 8 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 8x strategic 4 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/8 = 8x/8 left 1 OK left -0.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:41:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -0.25 = 8x/8 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+8x = -2+(-6x) strategic 1 OK add 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+8x+6x = -2+(-6x)+6x left 1 OK left 6+8x+6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+8x+6x = -2+(-6x)+6x right 1 OK right -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+8x+6x = -2 strategic 1 OK clt 6+8x+6x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK +8x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG +6x +6x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6x, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 2 OK +6x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 14x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:42:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR 14+6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 14x+6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14x+6 = -2 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14x+6-6 = -2-6 left 1 OK left 14x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14x = -2-6 right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14x = -8 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 14x/14 = -8/14 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -8/14 right 1 OK right -0.571 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5+(-6y) = 9y+5 strategic 1 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:43:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5+(-6y)+6y = 9y+5+6y left 1 OK left 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = 9y+5+6y right 1 OK right 9y+5+6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = 9y+5+6y strategic 1 OK clt 9y+5+6y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK 9y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +6y condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK +5 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK 15y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 5 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR 15+5 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 15y+5 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5 = 15y+5 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5-5 = 15y+5-5 left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:44:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 15y+5-5 right 1 OK right 15y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 15y strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0/15 = 15y/15 left 1 OK left 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 15y/15 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y+(-5.91) = 3.48+2.19y strategic 1 BUG add -5.91 To remove -5.91 from the left side, you can add a positive to it. Erase your last step and add 5.91 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y+(-5.91) = 3.48+2.19y strategic 2 OK add 5.91 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:45:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y = 9.39+2.19y strategic 1 BUG divide -3.67 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y = 9.39+2.19y strategic 2 ERROR clt -3.67y = 9.39+2.19y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y = 9.39+2.19y strategic 3 ERROR subtract 2.19 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -3.67y = 9.39+2.19y strategic 4 OK subtract 2.19y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.86y = 9.39 strategic 1 OK divide -5.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.99x+(-5.61) = 1.44x+3.62 strategic 1 BUG add -5.61 To remove -5.61 from the left side, you can add a positive to it. Erase your last step and add 5.61 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:46:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.99x+(-5.61) = 1.44x+3.62 strategic 2 OK add 5.61 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.99x = 1.44x+9.23 strategic 1 ERROR subtract 9.23 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.99x = 1.44x+9.23 strategic 2 ERROR subtract 1.44 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.99x = 1.44x+9.23 strategic 3 OK subtract 1.44x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.43x = 9.23 strategic 1 OK divide -10.43 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.67+5.03y = -2.37+(-8.36y) strategic 1 ERROR add 8.36 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.67+5.03y = -2.37+(-8.36y) strategic 2 OK add 8.36y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:47:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.67+13.39y = -2.37 strategic 1 ERROR subtract 13.39 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.67+13.39y = -2.37 strategic 2 ERROR add 2.37 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.67+13.39y = -2.37 strategic 3 OK subtract 6.67 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 13.39y = -9.04 strategic 1 OK divide 13.39 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.65+8.06x = 8.48x+2.08 strategic 1 ERROR subtract 8.06 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.65+8.06x = 8.48x+2.08 strategic 2 OK subtract 1.65 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 1 ERROR subtract 0.43 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:48:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 2 BUG divide 8.06 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 3 BUG divide 8.48 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:13.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:14.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.48x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:17.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.48x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 5 ERROR subtract 8.48 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.06x = 8.48x+0.43 strategic 6 OK subtract 8.48x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.42x = 0.43 strategic 1 OK divide -0.42 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:49:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.17+5.42y = 1.73+2.17y strategic 1 ERROR clt -1.17+5.42y = 1.73+2.17y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.17+5.42y = 1.73+2.17y strategic 2 OK add 1.17 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.42y = 2.9+2.17y strategic 1 ERROR subtract 2.9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.42y = 2.9+2.17y strategic 2 ERROR subtract 5.42 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.42y = 2.9+2.17y strategic 3 ERROR subtract 2.17 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.42y = 2.9+2.17y strategic 4 OK subtract 2.17y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 1 BUG divide 3.25y Dividing anything by itself will leave 1. If you divide 3.25y by 3.25, y will be left. Erase your last step and then divide by 3.25. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 2 BUG subtract 3.25 In 3.25y, y is multiplied by 3.25. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:50:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 3 BUG divide 3.25y Dividing anything by itself will leave 1. If you divide 3.25y by 3.25, y will be left. Erase your last step and then divide by 3.25. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 4 BUG subtract 2.9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:09.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 5 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:09.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE 3.25y is 3.25 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 6 BUG divide 3.25y Dividing anything by itself will leave 1. If you divide 3.25y by 3.25, y will be left. Erase your last step and then divide by 3.25. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 2.9 strategic 7 OK divide 3.25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.03+8.33x = -9.76+(-0.88x) strategic 1 ERROR add 0.88 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.03+8.33x = -9.76+(-0.88x) strategic 2 ERROR subtract 0.88x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:51:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.03+8.33x = -9.76+(-0.88x) strategic 3 OK subtract -0.88x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.03+9.21x = -9.76 strategic 1 OK add 7.03 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 1 BUG divide 9.21x Dividing anything by itself will leave 1. If you divide 9.21x by 9.21, x will be left. Erase your last step and then divide by 9.21. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 2 ERROR add 2.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 3 BUG add -2.73 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:30.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:31.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE 9.21x is 9.21 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:34.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by 9.21. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 5 BUG divide 9.21x Dividing anything by itself will leave 1. If you divide 9.21x by 9.21, x will be left. Erase your last step and then divide by 9.21. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 6 BUG multiply 9.21 To remove the coefficient of 9.21x, you need to divide. Erase your last step and then divide both sides by 9.21. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:52.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 7 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:52:52.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 9.21x is 9.21 times x. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 8 BUG divide 9.21x Dividing anything by itself will leave 1. If you divide 9.21x by 9.21, x will be left. Erase your last step and then divide by 9.21. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.21x = -2.73 strategic 9 OK divide 9.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.11+(-7.92x) = 6.52+(-7.07x) strategic 1 ERROR add 7.92 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.11+(-7.92x) = 6.52+(-7.07x) strategic 2 ERROR add -7.92x condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:33.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 1.11+(-7.92x) = 6.52+(-7.07x) strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:34.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:53:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.11+(-7.92x) = 6.52+(-7.07x) strategic 4 OK rds 1.11+(-7.92x) = 6.52+(-7.07x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:54:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.11-7.92x = 6.52-7.07x strategic 1 OK subtract 1.11 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:54:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.92x = 5.41-7.07x strategic 1 ERROR subtract 5.41 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:54:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.92x = 5.41-7.07x strategic 2 OK add 7.92x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:54:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0 = 5.41+0.85x strategic 1 OK subtract 5.41 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:54:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.41 = 0.85x strategic 1 BUG divide 0.85x Dividing anything by itself will leave 1. If you divide 0.85x by 0.85, x will be left. Erase your last step and then divide by 0.85. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:55:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.41 = 0.85x strategic 2 OK divide 0.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:55:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y+7.23 = -6.67y+2.85 strategic 1 OK subtract 7.23 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:55:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 1 ERROR add 4.38 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:55:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 2 ERROR divide 5.18y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:55:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 3 ERROR add 6.67 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 4 ERROR add -6.67y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 6.67y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:12.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 6.67y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 6 ERROR add 6.67 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.18y = -6.67y-4.38 strategic 7 OK add 6.67y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:56:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 11.85y = -4.38 strategic 1 OK divide 11.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:57:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.77+8.1y = -3.75y+(-6.81) strategic 1 OK add 6.81 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:57:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.58+8.1y = -3.75y strategic 1 ERROR subtract 16.58 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:57:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.58+8.1y = -3.75y strategic 2 OK subtract 8.1y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:57:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.58 = -11.85y strategic 1 BUG divide -11.85y Dividing anything by itself will leave 1. If you divide -11.85y by -11.85, y will be left. Erase your last step and then divide by -11.85. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:57:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 16.58 = -11.85y strategic 2 OK divide -11.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:58:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x+(-4.03) = -2.72+4.41x strategic 1 BUG add -4.03 To remove -4.03 from the left side, you can add a positive to it. Erase your last step and add 4.03 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:58:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x+(-4.03) = -2.72+4.41x strategic 2 ERROR add 3.23 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:58:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x+(-4.03) = -2.72+4.41x strategic 3 BUG add -2.72 To remove -2.72 from the right side, you can add a positive to it. Erase your last step and add 2.72 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:59:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x-6.75 = -5.44+4.41x strategic 1 ERROR add 2.72 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:59:28.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -3.23x+(-4.03) = -2.72+4.41x strategic 4 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:59:29.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:59:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x+(-4.03) = -2.72+4.41x strategic 5 OK rds -3.23x+(-4.03) = -2.72+4.41x strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 08:59:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x-4.03 = -2.72+4.41x strategic 1 OK add 4.03 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x = 1.31+4.41x strategic 1 ERROR subtract 1.31 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.23x = 1.31+4.41x strategic 2 OK subtract 4.41x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.64x = 1.31 strategic 1 OK divide -7.64 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.54y+1.59 = 6.2+(-7.57y) strategic 1 OK rds -2.54y+1.59 = 6.2+(-7.57y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.54y+1.59 = 6.2-7.57y strategic 1 OK subtract 1.59 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.54y = 4.61-7.57y strategic 1 ERROR add 7.75y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:00:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.54y = 4.61-7.57y strategic 2 OK add 7.57y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.03y = 4.61 strategic 1 BUG divide 5.03y Dividing anything by itself will leave 1. If you divide 5.03y by 5.03, y will be left. Erase your last step and then divide by 5.03. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.03y = 4.61 strategic 2 OK divide 5.03 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+1.3 = 3.04x+0.94 strategic 1 ERROR distribute 0.76x+1.3 = 3.04x+0.94 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+1.3 = 3.04x+0.94 strategic 2 ERROR rds 0.76x+1.3 = 3.04x+0.94 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+1.3 = 3.04x+0.94 strategic 3 OK subtract 0.94 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 1 BUG divide 3.04 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:01:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 2 ERROR divide 3.04x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:02:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 3 ERROR subtract 0.36 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:02:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 4 ERROR subtract 0.76 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:02:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 5 BUG divide 0.76 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:02:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 6 ERROR divide 0.76x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:02:51.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 7 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:06.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 0.76x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:10.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 0.76x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.76x+0.36 = 3.04x strategic 8 OK subtract 0.76x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.36 = 2.28x strategic 1 OK divide 2.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y+6.22 = 9.88y+7.18 strategic 1 OK subtract 6.22 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:03:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 1 ERROR divide 9.88y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:04:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 2 ERROR divide 6.78y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:04:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 3 ERROR subtract 0.96 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:04:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 4 ERROR divide 6.78y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:05:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 5 ERROR clt 6.78y = 9.88y+0.96 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:05:54.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 6 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:05:56.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 9.88y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:01.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 9.88y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.78y = 9.88y+0.96 strategic 7 OK subtract 9.88y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.1y = 0.96 strategic 1 BUG divide -3.1y Dividing anything by itself will leave 1. If you divide -3.1y by -3.1, y will be left. Erase your last step and then divide by -3.1. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.1y = 0.96 strategic 2 BUG divide 3.1 In this equation, y is multiplied by -3.1. Dividing by 3.1 leaves -y, so you still need to remove the negative sign. It is better to divide by -3.1, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.1y = 0.96 strategic 3 OK divide -3.1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:06:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.95+0.22y = 6.55+3.62y strategic 1 OK subtract 7.95 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:07:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.22y = -1.4+3.62y strategic 1 ERROR divide 0.22y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:07:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.22y = -1.4+3.62y strategic 2 OK subtract 0.22y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:07:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0 = -1.4+3.4y strategic 1 ERROR subtract 3.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:07:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0 = -1.4+3.4y strategic 2 OK add 1.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:07:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.4 = 3.4y strategic 1 OK divide 3.4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.3+1.84x = 0.4x+5.85 strategic 1 OK subtract 2.3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.84x = 0.4x+3.55 strategic 1 ERROR divide 1.84x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.84x = 0.4x+3.55 strategic 2 BUG divide 1.84 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.84x = 0.4x+3.55 strategic 3 ERROR subtract 3.55 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.84x = 0.4x+3.55 strategic 4 BUG divide 1.84 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:08:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.84x = 0.4x+3.55 strategic 5 ERROR divide 1.84x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:04.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.3+1.84x = 0.4x+5.85 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:05.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 1.84x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:08.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 1.84x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.3+1.84x = 0.4x+5.85 strategic 3 OK subtract 1.84x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:20.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 2.3 = -1.44x+5.85 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:22.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE 5.85 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5.85 (make it zero)? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:25.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE You can subtract 5.85 from both sides of the equation to eliminate the constant value of 5.85 (5.85 - 5.85 = 0). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.3 = -1.44x+5.85 strategic 2 OK subtract 5.85 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.55 = -1.44x strategic 1 OK divide -1.44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:09:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y+(-1.84) = -9.28y+(-2.29) strategic 1 ERROR clt 3.15y+(-1.84) = -9.28y+(-2.29) strategic condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:24:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y+(-1.84) = -9.28y+(-2.29) strategic 2 OK add 1.84 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:24:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 1 ERROR add 0.45 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:24:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 2 BUG divide 3.15 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:24:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 3 ERROR add 9.28 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:24:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 4 ERROR add 0.45 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 5 ERROR divide -9.28y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:14.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 6 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 9.28y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:19.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 9.28y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 7 ERROR add 9.28 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:25:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 8 ERROR add 9.28 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:27:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 9 ERROR subtract 3.15 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:27:57.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 10 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:27:59.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 9.28y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:28:02.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 4 HINT_LEVEL_CHANGE Add 9.28y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:28:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 11 ERROR add 9.89y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:28:25.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 12 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:28:26.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 5 HINT_LEVEL_CHANGE Move 9.28y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:28:56.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 6 HINT_LEVEL_CHANGE Add 9.28y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 13 ERROR add -9.28y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I W4712vM session1 2007-05-04 09:29:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.15y = -9.28y-0.45 strategic 14 ERROR add -9.28y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I Y6120Vs session31 2007-04-20 13:27:44.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:27:57.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:01.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43 49x+64 = 20 strategic 1 OK subtract 64 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:20.0 CYCLE CYCLE ES_05 ES_05-1 EG43 49x = -44 strategic 1 OK divide 49 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:34.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.28 = -11.03+(-14.95x) strategic 1 OK subtract -11.03 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 17.31 = -14.95x strategic 1 OK divide -14.95 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:28:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 4.02 = 11.15+(-9.58y) strategic 1 OK subtract 11.15 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:30:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 4.02-11.15 = 11.15+(-9.58y)-11.15 right 1 OK right -9.58y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:30:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 4.02-11.15 = -9.58y left 1 OK left -7.13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:30:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -7.13 = -9.58y strategic 1 OK divide -9.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:30:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -7.13/-9.58 = -9.58y/-9.58 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:31:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -7.13/-9.58 = y left 1 OK left 0.744258872 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:31:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 8092 = -2671+(-8584x) strategic 1 OK subtract -2671 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:31:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 8092-(-2671) = -2671+(-8584x)-(-2671) right 1 OK right -8584x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:31:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 8092-(-2671) = -8584x left 1 OK left 10763 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:32:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10763 = -8584x strategic 1 OK divide -8584 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:32:11.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10763/-8584 = -8584x/-8584 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:32:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 10763/-8584 = x left 1 OK left -1.253844362 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:32:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -71y+(-47) = 67 strategic 1 OK subtract -47 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:32:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -71y+(-47)-(-47) = 67-(-47) left 1 OK left -71y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -71y = 67-(-47) right 1 OK right 114 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -71y = 114 strategic 1 OK divide -71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:10.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -71y/-71 = 114/-71 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 114/-71 right 1 OK right -1.605633803 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -844+(-266/y) = 178 strategic 1 ERROR distribute -844+(-266/y) = 178 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:33:53.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -844+(-266/y) = 178 strategic 2 OK subtract -844 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:02.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 1 BUG multiply -266 To remove -266/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -266/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 2 ERROR rf -266/y = 1022 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 3 ERROR divide -266 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 4 ERROR multiply 266 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 5 BUG multiply -266 To remove -266/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -266/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:34:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 6 ERROR multiply -266/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 70756*(1/y)^2 = -271852/y strategic 1 ERROR mt 70756*(1/y)^2 = -271852/y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 7 ERROR multiply 266/y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:16.0 HINT HINT ES_05 ES_05-3 EG59A -266/y = 1022 strategic 8 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:18.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -266/y is -266 divided by y. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:21.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:29.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266/y = 1022 strategic 9 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -266 = 1022y strategic 1 OK divide 1022 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 88 = -42+(-85/y) strategic 1 OK subtract -42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:49.0 CYCLE CYCLE ES_05 ES_05-3 EG59 130 = -85/y strategic 1 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:35:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 130 = -85/y strategic 2 ERROR divide -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 130 = -85/y strategic 3 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59 130y = -85 strategic 1 OK divide 130 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:21.0 CYCLE CYCLE ES_05 ES_05-3 EG59 48 = 82/y+(-37) strategic 1 OK subtract -37 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:27.0 CYCLE CYCLE ES_05 ES_05-3 EG59 85 = 82/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59 85y = 82 strategic 1 OK divide 85 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 32 = -6+49/y strategic 1 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38 = 49/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:36:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38y = 49 strategic 1 OK divide 38 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -687 = 756+(-587/x) strategic 1 OK subtract 756 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1443 = -587/x strategic 1 ERROR multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1443 = -587/x strategic 2 ERROR multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1443 = -587/x strategic 3 ERROR multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1443 = -587/x strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -1443x = -587 strategic 1 OK divide -1443 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:37:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -65+39/x = 23 strategic 1 OK subtract -65 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:04.0 CYCLE CYCLE ES_05 ES_05-3 EG59 39/x = 88 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 39 = 88x strategic 1 OK divide 88 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:21.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -836+(-578/y) = -897 strategic 1 OK subtract -836 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -578/y = -61 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:30.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -578 = -61y strategic 1 OK divide -61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 528 = -52/x+851 strategic 1 OK subtract 851 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:38:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 528-851 = -52/x+851-851 right 1 OK right -52/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 528-851 = -52/x left 1 OK left -323 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -323 = -52/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -323x = -52/x*x right 1 OK right -52 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -323x = -52 left 1 OK left -323x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -323x = -52 strategic 1 OK divide -323 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -323x/-323 = -52/-323 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:39:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -52/-323 right 1 OK right 0.160990712 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x+(-49) = -3 strategic 1 OK subtract -49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x+(-49)-(-49) = -3-(-49) left 1 OK left -67/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = -3-(-49) right 1 OK right 46 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x = 46 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/x*x = 46x left 1 OK left -67 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67 = 46x right 1 OK right 46x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67 = 46x strategic 1 OK divide 46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:40:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/46 = 46x/46 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -67/46 = x left 1 OK left -1.456521739 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/x+(-87) = 43 strategic 1 OK subtract -87 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/x+(-87)-(-87) = 43-(-87) left 1 OK left -81/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/x = 43-(-87) right 1 OK right 130 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/x = 130 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/x*x = 130x left 1 OK left -81 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81 = 130x right 1 ERROR right 1300x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81 = 130x right 2 OK right 130x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:41:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81 = 130x strategic 1 OK divide 130 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/130 = 130x/130 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -81/130 = x left 1 OK left -0.623076923 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y+6 = 8+2y strategic 1 ERROR add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y+6 = 8+2y strategic 2 ERROR clt 3y+6 = 8+2y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:55.0 HINT HINT ES_05 ES_05-5 EG60 3y+6 = 8+2y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:42:57.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3y to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:43:00.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 3y from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:43:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y+6 = 8+2y strategic 4 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:43:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 8-y strategic 1 ERROR subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 8-y strategic 2 BUG add 8 Since 8 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 8 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6 = 8-y strategic 3 OK add -8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -y strategic 1 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4y+1 = 3+7y strategic 1 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = 3+3y strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = 3y strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:44:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x+(-7) = -1+9x strategic 1 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7 = -1+7x strategic 1 OK subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = 7x strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7+(-6y) = -3y+10 strategic 1 OK subtract -6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7 = 3y+10 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3 = 3y strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+8y = -9+1y strategic 1 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8+8y-8y = -9+1y-8y left 1 OK left -8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:45:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -9+1y-8y right 1 ERROR right -9+7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -9+1y-8y right 2 ERROR right -9+-9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -9+1y-8y right 3 ERROR right -9+7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -9+1y-8y right 4 OK right -9+-7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8 = -9+(-7y) strategic 1 OK subtract -9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-(-9) = -9+(-7y)-(-9) right 1 OK right -7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:46:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8-(-9) = -7y left 1 OK left 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:47:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:47:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-7 = -7y/-7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:47:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-7 = y left 1 OK left 1/-7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:47:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-7 = y strategic 1 OK rf 1/-7 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:48:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -1/7 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:48:15.0 HINT HINT ES_05 ES_05-6 EG60 -1/7 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:48:19.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:48:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+(-5) = -2x+4 strategic 1 OK subtract -8x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:48:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+(-5)-(-8x) = -2x+4-(-8x) left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -2x+4-(-8x) right 1 OK right -2x+4-(-8x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -2x+4+8x strategic 1 OK clt -2x+4+8x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -2x condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +8x condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +4 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 6x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 6x+4 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = 6x+4 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-4 = 6x+4-4 right 1 OK right 6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-4 = 6x left 1 OK left -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:49:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 6x strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:50:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = 6x/6 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:50:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x left 1 OK left -9/6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:50:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x strategic 1 OK rf -9/6 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:50:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = 6x strategic 2 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:50:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = 6x/6 right 2 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:51:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x left 2 BUG left 1.5 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:51:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x left 3 OK left -9/6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:51:59.0 HINT HINT ES_05 ES_05-6 EG60 -9/6 = x strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x strategic 3 BUG rds -9/6 = x strategic Simplify the fraction -9/6. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x strategic 4 BUG rds -9/6 = x strategic Simplify the fraction -9/6. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/6 = x strategic 5 OK rf -9/6 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 1 ERROR 9 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-N-constant factors strategic 1 BUG 6 6
Perhaps you should fill in the common factor between the numerator and denominator of [-9]/[6]. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-N-constant factors strategic 2 OK -3 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row3-D-constant factors strategic 1 OK 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 row2constant factors strategic 2 OK 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:52:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -3/2 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:53:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+(-3) = 1+4y strategic 1 OK subtract -9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:53:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9y+(-3)-(-9y) = 1+4y-(-9y) left 1 OK left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:53:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = 1+4y-(-9y) right 1 OK right 1+13y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:53:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = 1+13y strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:54:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-1 = 1+13y-1 left 1 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:54:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 1+13y-1 right 1 OK right 13y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:54:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4 = 13y strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:54:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/13 = 13y/13 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:54:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4/13 = y left 1 OK left -4/13 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:55:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5+6.03x = -7.99+(-1.84x) strategic 1 OK subtract 6.03x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:55:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5 = -7.99-7.87x strategic 1 BUG add -7.99 To remove -7.99 from the right side, you can add a positive to it. Erase your last step and add 7.99 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:56:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5 = -7.99-7.87x strategic 2 BUG add -7.99 To remove -7.99 from the right side, you can add a positive to it. Erase your last step and add 7.99 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:56:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5 = -7.99-7.87x strategic 3 OK add 7.99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:56:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.99 = -7.87x strategic 1 OK divide -7.87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:56:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.93x+7.9 = 5.64+(-2.68x) strategic 1 OK subtract 0.93x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:57:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.9 = 5.64-3.61x strategic 1 BUG add 5.64 Since 5.64 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 5.64 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:57:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.9 = 5.64-3.61x strategic 2 OK add -5.64 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:57:36.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.26 = -3.61x strategic 1 OK divide -3.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.33+8.19y = -5.17y+0.62 strategic 1 ERROR subtract 8.19 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.33+8.19y = -5.17y+0.62 strategic 2 OK subtract 8.19y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.33 = -13.36y+0.62 strategic 1 BUG subtract -0.62 To remove 0.62 from the right side, you can subtract a positive from it. Erase your last step and subtract 0.62 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.33 = -13.36y+0.62 strategic 2 OK subtract 0.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.71 = -13.36y strategic 1 OK divide -13.36 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:58:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.41x+7.22 = 8.13x+(-3.28) strategic 1 OK subtract 8.41x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:59:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.22 = -0.28x-3.28 strategic 1 OK add 3.28 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:59:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 10.5 = -0.28x strategic 1 OK divide -0.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:59:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.3y+7.35 = -7.26y+(-0.05) strategic 1 OK subtract -6.3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:59:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.35 = -0.96y-0.05 strategic 1 OK add 0.05 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 13:59:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.4 = -0.96y strategic 1 OK divide -0.96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:00:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83+3.08x = -1.59x+0.2 strategic 1 OK subtract 3.08x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:00:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83+3.08x-3.08x = -1.59x+0.2-3.08x left 1 OK left -7.83 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:00:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83 = -1.59x+0.2-3.08x right 1 ERROR right 1.48x+0.2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83 = -1.59x+0.2-3.08x right 2 OK right -1.59x+0.2-3.08x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83 = -1.59x+0.2-3.08x strategic 1 OK clt -1.59x+0.2-3.08x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -1.59x condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK -3.08x condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +0.2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 0.2 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 ERROR -4.67 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:01:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 OK -4.67x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:02:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -4.67x+0.2 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:02:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83 = -4.67x+0.2 strategic 1 OK subtract 0.2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:02:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83-0.2 = -4.67x+0.2-0.2 right 1 OK right -4.67x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:02:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83-0.2 = -4.67x left 1 BUG left --8.03 You need to calculate -7.83 minus 0.2, not 0.2 minus -7.83. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:02:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.83-0.2 = -4.67x left 2 OK left -8.03 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:03:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.03 = -4.67x strategic 1 OK divide -4.67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:03:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.03/-4.67 = -4.67x/-4.67 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:03:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.03/-4.67 = x left 1 OK left -8.03/-4.67 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:03:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.03/-4.67 = x strategic 1 OK rf -8.03/-4.67 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:04:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK 1.719486081 condition 1 simplify-fractions-sp cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:04:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.08y+(-9.53) = -4.65+(-3.74y) strategic 1 OK subtract -4.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:04:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.08y+(-9.53)-(-4.08y) = -4.65+(-3.74y)-(-4.08y) left 1 OK left -9.53 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:04:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.53 = -4.65+(-3.74y)-(-4.08y) right 1 ERROR right -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:05:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.53 = -4.65+(-3.74y)-(-4.08y) right 2 OK right -4.65+0.34y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:05:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.53 = -4.65+0.34y strategic 1 OK subtract -4.65 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:05:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.53-(-4.65) = -4.65+0.34y-(-4.65) right 1 OK right 0.34y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:06:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.53-(-4.65) = 0.34y left 1 OK left -4.88 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:06:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.88 = 0.34y strategic 1 OK divide 0.34 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:06:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.88/0.34 = 0.34y/0.34 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:06:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.88/0.34 = y left 1 OK left -14.35294118 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:08:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.51x+0.67 = 1.88+8.1x strategic 1 OK subtract 1.51x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:08:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.51x+0.67-1.51x = 1.88+8.1x-1.51x left 1 OK left 0.67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:08:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.67 = 1.88+8.1x-1.51x right 1 OK right 1.88+6.59x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:08:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.67 = 1.88+6.59x strategic 1 OK subtract 1.88 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:08:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.67-1.88 = 1.88+6.59x-1.88 right 1 OK right 6.59x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:09:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.67-1.88 = 6.59x left 1 OK left -1.21 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:09:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21 = 6.59x strategic 1 OK divide 6.59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:09:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21/6.59 = 6.59x/6.59 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:09:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -1.21/6.59 = x left 1 OK left -0.183611532 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:09:54.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -856.08y+(-6596.84) = -226.58y+2204.94 strategic 1 OK subtract -856.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:10:15.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -6596.84 = 629.5y+2204.94 strategic 1 OK subtract 2204.94 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:10:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -8801.78 = 629.5y strategic 1 OK divide 629.5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:10:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -72.46x+93.38 = 94.74+(-33.34x) strategic 1 OK subtract -72.46x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:10:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62 93.38 = 94.74+39.12x strategic 1 OK subtract 94.74 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:11:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -1.36 = 39.12x strategic 1 OK divide 39.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:11:19.0 CYCLE CYCLE ES_05 ES_05-9 EG62 59.35y+(-51.82) = -82.6y+8.36 strategic 1 OK subtract 59.35y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:11:28.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -51.82 = -141.95y+8.36 strategic 1 OK subtract 8.36 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:11:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -60.18 = -141.95y strategic 1 OK divide -141.95 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:12:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.02y+91.91 = -15.36+(-97.24y) strategic 1 ERROR subtract 69.02 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:12:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.02y+91.91 = -15.36+(-97.24y) strategic 2 OK subtract 69.02y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:12:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.02y+91.91-69.02y = -15.36+(-97.24y)-69.02y left 1 OK left 91.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:13:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.91 = -15.36+(-97.24y)-69.02y right 1 ERROR right -15.36 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:13:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.91 = -15.36+(-97.24y)-69.02y right 2 OK right -15.36+(-166.26y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:13:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.91 = -15.36+(-166.26y) strategic 1 OK subtract -15.36 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:14:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 91.91-(-15.36) = -15.36+(-166.26y)-(-15.36) left 1 OK left 107.27 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:14:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27 = -15.36+(-166.26y)-(-15.36) right 1 OK right -166.26y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:14:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27 = -166.26y strategic 1 OK divide -166.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:14:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27/-166.26 = -166.26y/-166.26 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:14:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27/-166.26 = y left 1 ERROR left -6.597170972 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:15:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27/-166.26 = y left 2 BUG left --0.645194274 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:15:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 107.27/-166.26 = y left 3 OK left -0.645194274 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:16:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 454.66y+(-1382.93) = 608.98+303.73y strategic 1 OK subtract 454.66y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:16:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 454.66y+(-1382.93)-454.66y = 608.98+303.73y-454.66y left 1 OK left -1382.93 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:16:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93 = 608.98+303.73y-454.66y right 1 ERROR right 608.98+(-150.93) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:17:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93 = 608.98+303.73y-454.66y right 2 OK right 608.98+(-150.93y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:18:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93 = 608.98+(-150.93y) strategic 1 ERROR subtract 608.93 condition 1 cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:18:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93 = 608.98+(-150.93y) strategic 2 OK subtract 608.98 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:18:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93-608.98 = 608.98+(-150.93y)-608.98 right 1 OK right -150.93y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:19:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93-608.98 = -150.93y left 1 ERROR left -1989.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:19:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93-608.98 = -150.93y left 2 ERROR left -199.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:20:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1382.93-608.98 = -150.93y left 3 OK left -1991.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:20:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1991.91 = -150.93y strategic 1 OK divide -150.93 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:20:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1991.91/-150.93 = -150.93y/-150.93 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:20:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1991.91/-150.93 = y left 1 OK left 13.19757503 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:21:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71+(-589.99x) = 2310.1+(-949.67x) strategic 1 OK subtract -589.99x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:21:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71+(-589.99x)-(-589.99x) = 2310.1+(-949.67x)-(-589.99x) left 1 BUG left -1459.71 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:21:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71+(-589.99x)-(-589.99x) = 2310.1+(-949.67x)-(-589.99x) left 2 OK left 1459.71 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:22:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71 = 2310.1+(-949.67x)-(-589.99x) right 1 ERROR right 2310.1+-359.68 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:22:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71 = 2310.1+(-949.67x)-(-589.99x) right 2 ERROR right 2310.1+(-359.68) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:23:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71 = 2310.1+(-949.67x)-(-589.99x) right 3 OK right 2310.1+(-359.68x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:23:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71 = 2310.1+(-359.68x) strategic 1 OK subtract 2310.1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:23:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71-2310.1 = 2310.1+(-359.68x)-2310.1 right 1 OK right -359.68x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:24:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 1459.71-2310.1 = -359.68x left 1 OK left -850.39 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:24:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -850.39 = -359.68x strategic 1 OK divide -359.68 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:24:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -850.39/-359.68 = -359.68x/-359.68 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session31 2007-04-20 14:25:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -850.39/-359.68 = x left 1 OK left 2.36496041 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:18:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43+(-35.25x) = -9.57x+38.37 strategic 1 OK subtract -35.25x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:18:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43+(-35.25x)-(-35.25x) = -9.57x+38.37-(-35.25x) left 1 OK left -14.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:20:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43 = -9.57x+38.37-(-35.25x) right 1 ERROR right -44.82+38.37 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:20:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43 = -9.57x+38.37-(-35.25x) right 2 BUG right -44.82x+38.37 -44.82x+38.37 is equal to -9.57x+38.37 plus -35.25x. You need to calculate -9.57x+38.37 minus -35.25x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:21:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43 = -9.57x+38.37-(-35.25x) right 3 OK right 25.68x+38.37 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:22:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43 = 25.68x+38.37 strategic 1 OK subtract 38.37 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:22:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43-38.37 = 25.68x+38.37-38.37 right 1 OK right 25.68x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:22:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -14.43-38.37 = 25.68x left 1 OK left -52.8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:22:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -52.8 = 25.68x strategic 1 OK divide 25.68 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:22:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -52.8/25.68 = 25.68x/25.68 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:23:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -52.8/25.68 = x left 1 OK left -2.056074766 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:23:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25+(-377.87y) = 283.85y+4667.5 strategic 1 OK subtract -377.87y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:23:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25+(-377.87y)-(-377.87y) = 283.85y+4667.5-(-377.87y) left 1 OK left -1187.25 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:23:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25 = 283.85y+4667.5-(-377.87y) right 1 ERROR right 4667.5+661.72 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:23:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25 = 283.85y+4667.5-(-377.87y) right 2 OK right 4667.5+661.72y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:24:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25 = 4667.5+661.72y strategic 1 OK subtract 4667.5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:24:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25-4667.5 = 4667.5+661.72y-4667.5 right 1 OK right 661.72y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:24:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1187.25-4667.5 = 661.72y left 1 OK left -5854.75 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:24:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -5854.75 = 661.72y strategic 1 OK divide 661.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:24:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -5854.75/661.72 = 661.72y/661.72 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:25:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -5854.75/661.72 = y left 1 ERROR left -8.84 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I Y6120Vs session32 2007-04-25 13:25:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -5854.75/661.72 = y left 2 OK left -8.847775494 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:18:52.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:01.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -4058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:10.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:11.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -1144y is -1144 times y. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:17.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1144. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:25.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 3 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:19:30.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:20:08.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6712x+2304 = 2124 strategic 1 OK subtract 2304 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:20:13.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6712x = -180 strategic 1 ERROR divide 67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:20:32.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6712x = -180 strategic 2 OK divide 6712 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:20:56.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -97.77 = -69.88+(-42.85y) strategic 1 ERROR subtract -6988 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:21:06.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -97.77 = -69.88+(-42.85y) strategic 2 OK subtract -69.88 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:21:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -27.89 = -42.85y strategic 1 OK divide -42.85 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:21:43.0 CYCLE CYCLE ES_05 ES_05-1 EG42C 6.98 = 12.35+(-7.19x) strategic 1 OK subtract 12.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:21:50.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -5.37 = -7.19x strategic 1 OK divide -7.19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:01.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -19+81x = 59 strategic 1 OK subtract -19 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:07.0 CYCLE CYCLE ES_05 ES_05-1 EG43 81x = 78 strategic 1 OK divide 81 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:18.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -80 = -7+9x strategic 1 ERROR subtract -87 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -80 = -7+9x strategic 2 OK subtract -7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -80-(-7) = -7+9x-(-7) left 1 OK left -73 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -73 = -7+9x-(-7) right 1 OK right 9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -73 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:22:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -73/9 = 9x/9 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:23:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -73/9 = x left 1 OK left -8.111 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:23:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 6.19 = -12.59x+12.04 strategic 1 OK subtract 12.04 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:23:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 6.19-12.04 = -12.59x+12.04-12.04 left 1 OK left -5.85 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:23:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.85 = -12.59x+12.04-12.04 right 1 OK right -12.59x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:23:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.85 = -12.59x strategic 1 OK divide -12.59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:24:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.85/-12.59 = -12.59x/-12.59 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:24:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -5.85/-12.59 = x left 1 OK left .46465 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:24:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y+10.37 = 4.78 strategic 1 OK subtract 10.37 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:24:32.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y+10.37-10.37 = 4.78-10.37 left 1 OK left -30.01y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:24:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y = 4.78-10.37 right 1 OK right -5.59 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:25:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y = -5.59 strategic 1 OK divide -30.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:25:13.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y/-30.01 = -5.59/-30.01 left 1 ERROR left 30.01 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:25:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -30.01y/-30.01 = -5.59/-30.01 left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:25:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42 y = -5.59/-30.01 right 1 OK right .18627 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:25:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -779 = -9596y+(-8749) strategic 1 OK subtract -8749 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:26:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -779-(-8749) = -9596y+(-8749)-(-8749) right 1 OK right -9596y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:26:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -779-(-8749) = -9596y left 1 OK left 7970 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:26:43.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7970 = -9596y strategic 1 OK divide -9596 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:26:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7970/-9596 = -9596y/-9596 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:26:56.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7970/-9596 = y left 1 BUG left .830 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 7970/-9596 = y left 2 OK left -.830 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 3.22y+1.51 = 10.46 strategic 1 OK subtract 1.51 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 3.22y+1.51-1.51 = 10.46-1.51 left 1 OK left 3.22y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:34.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 3.22y = 10.46-1.51 right 1 OK right 8.95 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 3.22y = 8.95 strategic 1 OK divide 3.22 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:42.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 3.22y/3.22 = 8.95/3.22 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:27:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 8.95/3.22 right 1 OK right 2.7795 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 556+(-211/x) = 367 strategic 1 OK subtract 556 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -211/x = -189 strategic 1 ERROR multiply 211 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:22.0 HINT HINT ES_05 ES_05-3 EG59A -211/x = -189 strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:24.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -211/x is -211 divided by x. How do you undo division? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:28.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:35.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -211/x = -189 strategic 3 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:42.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -211 = -189x strategic 1 OK divide -189 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:50.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -73 = 67+7/y strategic 1 OK subtract 67 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:28:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -140 = 7/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -140y = 7 strategic 1 OK divide -140 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -384/y+751 = 71 strategic 1 OK subtract 751 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -384/y = -680 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -384 = -680y strategic 1 OK divide -680 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -410 = 714/x+(-208) strategic 1 OK subtract -208 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:36.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -202 = 714/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:41.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -202x = 714 strategic 1 OK divide -202 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:29:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -22 = -63/x+(-86) strategic 1 OK subtract -86 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -22-(-86) = -63/x+(-86)-(-86) left 1 OK left 64 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64 = -63/x+(-86)-(-86) right 1 OK right -63/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64 = -63/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64x = -63/x*x left 1 OK left 64x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64x = -63/x*x right 1 BUG right 63 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64x = -63/x*x right 2 OK right -63 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64x = -63 strategic 1 OK divide 64 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59 64x/64 = -63/64 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -63/64 right 1 BUG right .984375 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:30:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = -63/64 right 2 OK right -.984375 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -880 = -496/y+(-606) strategic 1 OK subtract -606 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -880-(-606) = -496/y+(-606)-(-606) left 1 OK left -274 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274 = -496/y+(-606)-(-606) right 1 OK right -496/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274 = -496/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274y = -496/y*y right 1 OK right -496 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274y = -496 left 1 OK left -274y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274y = -496 strategic 1 OK divide -274 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:31:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -274y/-274 = -496/-274 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A y = -496/-274 right 1 OK right 1.810 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:14.0 CYCLE CYCLE ES_05 ES_05-4 EG59 75+88/y = -17 strategic 1 OK subtract 75 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 75+88/y-75 = -17-75 left 1 OK left 88/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/y = -17-75 right 1 OK right -92 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/y = -92 strategic 1 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/y = -92 strategic 2 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/y*y = -92y left 1 OK left 88 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88 = -92y right 1 OK right -92y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88 = -92y strategic 1 OK divide -92 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:32:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/-92 = -92y/-92 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 88/-92 = y left 1 OK left -.9565 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+(-5x) = 2x+1 strategic 1 ERROR clt -2+(-5x) = 2x+1 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:18.0 HINT HINT ES_05 ES_05-5 EG60 -2+(-5x) = 2x+1 strategic 2 INITIAL_HINT condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:20.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+(-5x) = 2x+1 strategic 3 OK rds -2+(-5x) = 2x+1 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-5x = 2x+1 strategic 1 ERROR clt -2-5x = 2x+1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-5x = 2x+1 strategic 2 ERROR rds -2-5x = 2x+1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:43.0 HINT HINT ES_05 ES_05-5 EG60 -2-5x = 2x+1 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:45.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:48.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 2x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:33:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-5x = 2x+1 strategic 4 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-7x = 1 strategic 1 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2-7x = 1 strategic 2 OK subtract -2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:18.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x = 3 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5+(-6x) = 4+(-7x) strategic 1 OK rds -5+(-6x) = 4+(-7x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5-6x = 4-7x strategic 1 ERROR subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5-6x = 4-7x strategic 2 ERROR subtract 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:47.0 HINT HINT ES_05 ES_05-5 EG60 -5-6x = 4-7x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:48.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:52.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 7x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:34:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5-6x = 4-7x strategic 4 OK add 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5+x = 4 strategic 1 OK subtract -5 condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3+(-8y) = -1y+2 strategic 1 OK rds -3+(-8y) = -1y+2 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-8y = -1y+2 strategic 1 OK subtract -1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-7y = 2 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3-7y = 2 strategic 2 OK subtract -3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y = 5 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7+(-7x) = -4x+(-1) strategic 1 OK rds 7+(-7x) = -4x+(-1) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:35:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-7x = -4x-1 strategic 1 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-7x = -4x-1 strategic 2 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:09.0 HINT HINT ES_05 ES_05-5 EG60 7-7x = -4x-1 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:13.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:16.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-7x = -4x-1 strategic 4 ERROR add -4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-7x = -4x-1 strategic 5 OK add 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-3x = -1 strategic 1 BUG add 7 Since 7 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 7 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7-3x = -1 strategic 2 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3x = -8 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:36:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+10 = -3+(-3y) strategic 1 OK rds 9y+10 = -3+(-3y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9y+10 = -3-3y strategic 1 OK add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 12y+10 = -3 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 12y = -13 strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+8x = 3x+(-5) strategic 1 OK rds 2+8x = 3x+(-5) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+8x = 3x-5 strategic 1 ERROR add 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+8x = 3x-5 strategic 2 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+5x = -5 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5x = -7 strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+(-10) = 10y+0 strategic 1 OK rds -2y+(-10) = 10y+0 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:37:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y-10 = 10y+0 strategic 1 OK subtract 10y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:00.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -12y-10 = 0 strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -12y = 10 strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+(-3x) = -8+(-10x) strategic 1 OK rds 2+(-3x) = -8+(-10x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2-3x = -8-10x strategic 1 OK add 10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+7x = -8 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:23.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x = -10 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x+(-3) = 7+(-1x) strategic 1 OK rds -8x+(-3) = 7+(-1x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x-3 = 7-1x strategic 1 BUG subtract 1x Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x-3 = 7-1x strategic 2 OK add 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x-3 = 7 strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:38:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7x = 10 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x+(-4) = -6+(-6x) strategic 1 OK rds 4x+(-4) = -6+(-6x) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4 = -6-6x strategic 1 OK add 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4+6x = -6-6x+6x left 1 BUG left 10-4 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4+6x = -6-6x+6x left 2 ERROR left -10-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4+6x = -6-6x+6x left 3 BUG left -10--4 Just add -6-6x to 6x. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4+6x = -6-6x+6x left 4 ERROR left 10--4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4x-4+6x = -6-6x+6x left 5 OK left 10x-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:39:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-4 = -6-6x+6x right 1 OK right -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-4 = -6 strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x-4+4 = -6+4 left 1 OK left 10x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = -6+4 right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x = -2 strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10x/10 = -2/10 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/10 right 1 BUG right .2 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:40:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -2/10 right 2 OK right -.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:41:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y+(-2) = -6+(-2y) strategic 1 OK rds -2y+(-2) = -6+(-2y) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:41:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2 = -6-2y strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:41:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6-2y+2y left 1 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:41:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6-2y+2y right 1 OK right -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:41:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 1 ERROR left -2y-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 2 ERROR left -4y-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 3 ERROR left 0y-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 4 ERROR left -4y+2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 5 BUG left -4y-2 -4y-2 is equal to -2y-2 minus 2y. You need to calculate -2y-2 plus 2y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 6 ERROR left 2y-2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:42:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 7 BUG left -4y-2 -4y-2 is equal to -2y-2 minus 2y. You need to calculate -2y-2 plus 2y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:43:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 8 ERROR left -6y-2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:44:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 9 ERROR left y-2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:45:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-2+2y = -6 left 10 OK left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:45:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+(-1x) = -3x+6 strategic 1 OK rds -2+(-1x) = -3x+6 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:45:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x = -3x+6 strategic 1 OK subtract -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:45:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = -3x+6-(-3x) left 1 BUG left -2-4x -2-4x is equal to -2-1x plus -3x. You need to calculate -2-1x minus -3x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = -3x+6-(-3x) left 2 ERROR left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = -3x+6-(-3x) left 3 ERROR left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = -3x+6-(-3x) right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 1 ERROR left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 2 ERROR left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 3 ERROR left -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 4 ERROR left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 5 ERROR left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:51.0 HINT HINT ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:46:53.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -2-1x-(-3x) on the left. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:47:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 6 BUG left -2-4x -2-4x is equal to -2-1x plus -3x. You need to calculate -2-1x minus -3x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:48:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x-(-3x) = 6 left 7 OK left -2-1x-(-3x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:48:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-1x+3x = 6 strategic 1 OK unnec-elems -2-1x+3x=6 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:48:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x = 6 strategic 1 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:48:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x = 6 strategic 2 OK add 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 6+2 left 1 ERROR left x+3x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 6+2 right 1 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 8 left 1 OK left -2-x+3x+2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 8 strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the left side. Erase your last step and add 2 to both sides. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 8 strategic 2 BUG add 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:49:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 8 strategic 3 ERROR rf -2-x+3x+2 = 8 strategic condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-x+3x+2 = 8 strategic 4 OK clt -2-x+3x+2 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG  2  2
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  2, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 BUG  x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +3x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 7 BUG  x Be sure to select both the term and the negative sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK +2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 8 OK -x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 2x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 2x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:50:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x = 8 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:51:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2x/2 = 8/2 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:51:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 8/2 right 1 OK right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:51:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+(-9y) = -10y+7 strategic 1 OK rds -9+(-9y) = -10y+7 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:51:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 1 ERROR add 10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:51:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 2 ERROR subtract 10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 3 ERROR add -10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 4 ERROR subtract -10 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:19.0 HINT HINT ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:20.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 10y to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:23.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 10y to both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y = -10y+7 strategic 6 OK add 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y+10y = -10y+7+10y right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:52:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y+10y = 7 left 1 BUG left -9-19y -9-19y is equal to -9-9y minus 10y. You need to calculate -9-9y plus 10y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y+10y = 7 left 2 ERROR left -8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y+10y = 7 left 3 OK left -9-9y+10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-9y+10y = 7 strategic 1 OK clt -9-9y+10y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -9y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +10y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 1y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR -1y+9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:53:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR 1y+9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:05.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 1 Above, you have [1y]+[-9]. Enter y-9 as your result. HINT 1 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK y-9 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-9 = 7 strategic 1 OK add 9 condition 1 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y-9+9 = 7+9 left 1 OK left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 7+9 right 1 OK right 16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:54:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x = 5x+0 strategic 1 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-5x = 5x+0-5x right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-5x = 0 left 1 OK left 10+4x-5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10+4x-5x = 0 strategic 1 OK clt 10+4x-5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG 10 10
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 10, is not one of the x terms. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 OK +4x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK -5x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -1x condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 10 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -x+10 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -x+10 = 0 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -x+10-10 = 0-10 left 1 OK left -x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:55:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -x = 0-10 right 1 OK right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:11.0 HINT HINT ES_05 ES_05-6 EG60 -x = -10 strategic 1 INITIAL_HINT condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -x = -10 strategic 2 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -x/-1 = -10/-1 left 1 OK left x condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -10/-1 right 1 OK right 10 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y+(-7) = 3y+7 strategic 1 OK rds -3y+(-7) = 3y+7 strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-7 = 3y+7 strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:56:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-7-3y = 3y+7-3y right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-7-3y = 7 left 1 OK left -3y-7-3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-7-3y = 7 strategic 1 OK clt -3y-7-3y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -3y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -3y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -7 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -6y condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -6y+-7 condition 1 combine-like-terms-sp cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:57:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y-7 = 7 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y-7+7 = 7+7 left 1 OK left -6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y = 7+7 right 1 OK right 14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y = 14 strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6y/-6 = 14/-6 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = 14/-6 right 1 OK right -2.33333 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:51.0 HINT HINT ES_05 ES_05-7 EG61 9.66x+2.49 = -4.06x+5.03 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:56.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 9.66x to the right side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:58:59.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 9.66x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:59:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.66x+2.49 = -4.06x+5.03 strategic 2 OK subtract 9.66x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:59:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.49 = -13.72x+5.03 strategic 1 OK subtract 5.03 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:59:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.54 = -13.72x strategic 1 BUG divide -13.72x Dividing anything by itself will leave 1. If you divide -13.72x by -13.72, x will be left. Erase your last step and then divide by -13.72. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:59:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.54 = -13.72x strategic 2 OK divide -13.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 13:59:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.87+(-9.5y) = 6.26y+(-1.23) strategic 1 OK rds -8.87+(-9.5y) = 6.26y+(-1.23) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:00:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.87-9.5y = 6.26y-1.23 strategic 1 OK add 9.5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:00:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.87 = 15.76y-1.23 strategic 1 OK add 1.23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:00:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.64 = 15.76y strategic 1 OK divide 15.76 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:00:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.96+(-1.06y) = -3.68y+(-7.9) strategic 1 OK rds 9.96+(-1.06y) = -3.68y+(-7.9) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.96-1.06y = -3.68y-7.9 strategic 1 OK add 1.06y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.96 = -2.62y-7.9 strategic 1 OK add 7.9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 17.86 = -2.62y strategic 1 OK divide -2.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.4+(-7.18y) = 5.63+8.76y strategic 1 OK rds 5.4+(-7.18y) = 5.63+8.76y strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.4-7.18y = 5.63+8.76y strategic 1 ERROR add 7.18x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.4-7.18y = 5.63+8.76y strategic 2 OK add 7.18y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:01:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.4 = 5.63+15.94y strategic 1 OK subtract 5.63 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:02:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.23 = 15.94y strategic 1 OK divide 15.94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:02:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.18x+4.66 = 2.17x+(-9.83) strategic 1 OK rds 6.18x+4.66 = 2.17x+(-9.83) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:02:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.18x+4.66 = 2.17x-9.83 strategic 1 OK subtract 6.18x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:02:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.66 = -4.01x-9.83 strategic 1 OK add 9.83 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:03:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 14.49 = -4.01x strategic 1 OK divide -4.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:03:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.02x+4.75 = -4.93x+1.73 strategic 1 ERROR add -9.02x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:03:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.02x+4.75 = -4.93x+1.73 strategic 2 OK subtract -9.02x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:04:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.75 = 4.09x+1.73 strategic 1 OK subtract 1.73 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:04:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.02 = 4.09x strategic 1 OK divide 4.09 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:04:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.22+(-6.77x) = -0.54x+(-2.03) strategic 1 OK rds 9.22+(-6.77x) = -0.54x+(-2.03) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:04:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.22-6.77x = -0.54x-2.03 strategic 1 ERROR add 6.77 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:04:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.22-6.77x = -0.54x-2.03 strategic 2 OK add 6.77x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.22 = 6.23x-2.03 strategic 1 OK add 2.03 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.25 = 6.23x strategic 1 OK divide 6.23 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.53y+6.3 = -3.31+2.93y strategic 1 ERROR add -2.53y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.53y+6.3 = -3.31+2.93y strategic 2 OK subtract -2.53y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.3 = -3.31+5.46y strategic 1 OK subtract -3.31 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:05:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.61 = 5.46y strategic 1 OK divide 5.46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:06:36.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.75+5.65x = -5.67x+4.42 strategic 1 OK subtract 5.65x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:06:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.75 = -11.32x+4.42 strategic 1 OK subtract 4.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:06:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.67 = -11.32x strategic 1 OK divide -11.32 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:06:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.23+(-0.34x) = 4.98x+(-4.27) strategic 1 OK rds 1.23+(-0.34x) = 4.98x+(-4.27) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:07:54.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.23-0.34x = 4.98x-4.27 strategic 1 BUG add 1.23 Since 1.23 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 1.23 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:19:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.23-0.34x = 4.98x-4.27 strategic 2 OK subtract 1.23 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:19:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.34x = 4.98x-5.5 strategic 1 ERROR add -.34x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:19:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.34x = 4.98x-5.5 strategic 2 OK subtract -.34x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:20:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0 = 5.32x-5.5 strategic 1 OK add 5.5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:20:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.5 = 5.32x strategic 1 OK divide 5.32 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:20:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.48x+4.28 = 0.06x+(-1.55) strategic 1 OK rds -7.48x+4.28 = 0.06x+(-1.55) strategic condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:20:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.48x+4.28 = 0.06x-1.55 strategic 1 ERROR subtract 7.48x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:20:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.48x+4.28 = 0.06x-1.55 strategic 2 OK add 7.48x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:21:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.28 = 7.54x-1.55 strategic 1 OK add 1.55 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:21:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.83 = 7.54x strategic 1 OK divide 7.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:21:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.13+9.21y = 9.33+8.37y strategic 1 ERROR subtract 9.21x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:22:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.13+9.21y = 9.33+8.37y strategic 2 OK subtract 9.21y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:22:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.13 = 9.33-0.84y strategic 1 BUG add 9.33 Since 9.33 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 9.33 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:22:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.13 = 9.33-0.84y strategic 2 BUG add 9.33 Since 9.33 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 9.33 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:22:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.13 = 9.33-0.84y strategic 3 OK subtract 9.33 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:23:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -1.2 = -0.84y strategic 1 OK divide -.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:24:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 1 ERROR add -6.58 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:24:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 2 ERROR subtract -6.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:24:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 3 ERROR add -6.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:24:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 4 ERROR add 6.85 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:24:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 5 ERROR subtract 6.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 6 ERROR add 6.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:11.0 HINT HINT ES_05 ES_05-7 EG61 0.27x+4.13 = -1.24+11.01x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:19.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 11.01x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:26.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 11.01x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 7 ERROR subtract 6.58x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session25 2007-04-25 14:25:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 8 ERROR add 6.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:23:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 1 ERROR clt -6.58x+4.13 = -1.24+4.16x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:23:44.0 HINT HINT ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:23:45.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.16x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:23:49.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.16x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:23:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.58x+4.13 = -1.24+4.16x strategic 3 OK subtract 4.16x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.74x+4.13 = -1.24 strategic 1 OK subtract 4.13 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.74x = -5.37 strategic 1 OK divide -10.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.86x+(-5.94) = -7.45x+(-2.23) strategic 1 OK subtract -5.94 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.86x = -7.45x+3.71 strategic 1 ERROR subtract -3.71 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:54.0 HINT HINT ES_05 ES_05-7 EG61 0.86x = -7.45x+3.71 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:55.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -7.45x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:24:58.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract -7.45x from both sides. HINT 3 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:25:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.86x = -7.45x+3.71 strategic 3 OK subtract -7.45x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:25:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.31x = 3.71 strategic 1 OK divide 8.31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:25:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.4x+3.08 = 8.64x+(-8.72) strategic 1 OK subtract -8.72 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:25:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.4x+11.8 = 8.64x strategic 1 OK subtract 2.4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:25:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 11.8 = 6.24x strategic 1 OK divide 6.24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:26:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.12+1.63x = -7.38+1.84x strategic 1 OK subtract -7.38 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:27:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.12+1.63x-(-7.38) = -7.38+1.84x-(-7.38) left 1 ERROR left 1.12+9.01x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:27:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.12+1.63x-(-7.38) = -7.38+1.84x-(-7.38) left 2 ERROR left 84 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:27:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.12+1.63x-(-7.38) = -7.38+1.84x-(-7.38) right 1 OK right 1.84x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 1.12+1.63x-(-7.38) = 1.84x left 1 OK left 8.5+1.63x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5+1.63x = 1.84x strategic 1 ERROR subtract 8.5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5+1.63x = 1.84x strategic 2 OK subtract 1.63x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5+1.63x-1.63x = 1.84x-1.63x left 1 OK left 8.5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5 = 1.84x-1.63x right 1 OK right 0.21x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5 = 0.21x strategic 1 OK divide .21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:28:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5/0.21 = 0.21x/0.21 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:29:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.5/0.21 = x left 1 OK left 40.476 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:29:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.64+6.39x = -8.5+(-8.45x) strategic 1 OK subtract 4.64 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:29:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.64+6.39x-4.64 = -8.5+(-8.45x)-4.64 left 1 OK left 6.39x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:29:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x = -8.5+(-8.45x)-4.64 right 1 BUG right -3.86+(-8.45x) -3.86+[-8.45x] is equal to -8.5+[-8.45x] plus 4.64. You need to calculate -8.5+[-8.45x] minus 4.64. BUG condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:30:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x = -8.5+(-8.45x)-4.64 right 2 ERROR right -3.86+(-8.5x) condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:30:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x = -8.5+(-8.45x)-4.64 right 3 ERROR right -13.14(-8.45x) condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x = -8.5+(-8.45x)-4.64 right 4 OK right -13.14+-8.45x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x = -13.14+(-8.45x) strategic 1 OK subtract -8.45x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x-(-8.45x) = -13.14+(-8.45x)-(-8.45x) right 1 OK right -13.14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.39x-(-8.45x) = -13.14 left 1 OK left 14.84x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 14.84x = -13.14 strategic 1 OK divide 14.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:31:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 14.84x/14.84 = -13.14/14.84 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -13.14/14.84 right 1 BUG right .88543 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -13.14/14.84 right 2 OK right -.88543 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x+1.54 = -6.68+0.62x strategic 1 OK subtract 1.54 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x+1.54-1.54 = -6.68+0.62x-1.54 left 1 OK left 9.16x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x = -6.68+0.62x-1.54 right 1 OK right -8.22+.62x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:32:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x = -8.22+0.62x strategic 1 ERROR subtract -8.22 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x = -8.22+0.62x strategic 2 BUG add -8.22 To remove -8.22 from the right side, you can add a positive to it. Erase your last step and add 8.22 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x = -8.22+0.62x strategic 3 ERROR add 8.22 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:31.0 HINT HINT ES_05 ES_05-8 EG61 9.16x = -8.22+0.62x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:32.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 0.62x to the left side. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x = -8.22+0.62x strategic 5 OK subtract .62x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:33:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x-0.62x = -8.22+0.62x-0.62x right 1 OK right -8.22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 9.16x-0.62x = -8.22 left 1 OK left 8.54x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.54x = -8.22 strategic 1 OK divide 8.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.54x/8.54 = -8.22/8.54 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -8.22/8.54 right 1 OK right -.9625 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:41.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -1440.38+(-911.14y) = -126.23y+(-7920.22) strategic 1 OK subtract -1440.38 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:34:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -911.14y = -126.23y-6479.84 strategic 1 OK subtract -126.23y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -784.91y = -6479.84 strategic 1 OK divide -784.91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62 36.45x+48.32 = 30.2x+(-75.6) strategic 1 OK subtract 48.32 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:24.0 CYCLE CYCLE ES_05 ES_05-9 EG62 36.45x = 30.2x-123.92 strategic 1 OK subtract 30.2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62 6.25x = -123.92 strategic 1 OK divide 6.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -17.72x+(-23.95) = -53.37+75.37x strategic 1 OK add 23.95 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:53.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -17.72x = -29.42+75.37x strategic 1 OK subtract 75.37x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:35:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -93.09x = -29.42 strategic 1 OK divide -93.09 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:36:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9737.88+(-958.73y) = 697.98y+3702.96 strategic 1 OK subtract 9737.88 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:36:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9737.88+(-958.73y)-9737.88 = 697.98y+3702.96-9737.88 left 1 ERROR left -958.73x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:36:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 9737.88+(-958.73y)-9737.88 = 697.98y+3702.96-9737.88 left 2 OK left -958.73y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:36:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y = 697.98y+3702.96-9737.88 right 1 ERROR right -6034.92 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:37:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y = 697.98y+3702.96-9737.88 right 2 ERROR right -6034.92y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:37:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y = 697.98y+3702.96-9737.88 right 3 OK right 697.98y+-6034.92 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:37:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y = 697.98y+(-6034.92) strategic 1 OK subtract 697.98y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:37:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y-697.98y = 697.98y+(-6034.92)-697.98y right 1 OK right -6034.92 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:38:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y-697.98y = -6034.92 left 1 ERROR left -1656.71 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:38:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -958.73y-697.98y = -6034.92 left 2 OK left -1656.71y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:38:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1656.71y = -6034.92 strategic 1 OK divide -1656.71 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:38:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -1656.71y/-1656.71 = -6034.92/-1656.71 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:39:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = -6034.92/-1656.71 right 1 OK right 3.6427 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:39:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 61+94.48y = -84.14y+5.18 strategic 1 OK subtract 61 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:39:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 61+94.48y-61 = -84.14y+5.18-61 left 1 OK left 94.48y condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:39:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y = -84.14y+5.18-61 right 1 ERROR right -84.14y++55.82 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:39:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y = -84.14y+5.18-61 right 2 OK right -84.14y+-55.82 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y = -84.14y+(-55.82) strategic 1 OK subtract -84.14y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y-(-84.14y) = -84.14y+(-55.82)-(-84.14y) right 1 OK right -55.82 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y-(-84.14y) = -55.82 left 1 ERROR left 178.62 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62 94.48y-(-84.14y) = -55.82 left 2 OK left 178.62y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 178.62y = -55.82 strategic 1 OK divide 178.62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:40:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 178.62y/178.62 = -55.82/178.62 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -55.82/178.62 right 1 OK right -.3125 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x+94.32 = -31.42+(-53.7x) strategic 1 ERROR subtract -29.09 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x+94.32 = -31.42+(-53.7x) strategic 2 ERROR subtract 94.43 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x+94.32 = -31.42+(-53.7x) strategic 3 OK subtract 94.32 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x+94.32-94.32 = -31.42+(-53.7x)-94.32 left 1 OK left -29.09x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:41:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x = -31.42+(-53.7x)-94.32 right 1 ERROR right -125.74 condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:42:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x = -31.42+(-53.7x)-94.32 right 2 OK right -125.74+-53.7x condition 1 cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:42:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x = -125.74+(-53.7x) strategic 1 OK subtract -53.7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:42:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x-(-53.7x) = -125.74+(-53.7x)-(-53.7x) right 1 OK right -125.74 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:42:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -29.09x-(-53.7x) = -125.74 left 1 OK left 24.61x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:42:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 24.61x = -125.74 strategic 1 OK divide 24.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:43:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 24.61x/24.61 = -125.74/24.61 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I ZBj33oo session26 2007-05-23 13:43:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -125.74/24.61 right 1 OK right -5.109 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I a8YLu01 session0 2007-04-27 08:23:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:23:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:23:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:23:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:23:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT 2029/572 = y strategic 3 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:24:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -56+(-15y) = 45 strategic 1 OK add 56 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:24:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -15y = 101 strategic 1 OK divide -15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:24:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B -3.47 = -12.26+(-7.74y) strategic 1 OK add 12.26 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:24:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 8.79 = -7.74y strategic 1 OK divide -7.74 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:25:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3798y+(-4297) = -4774 strategic 1 ERROR add 33 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:25:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3798y+(-4297) = -4774 strategic 2 ERROR add -33 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:25:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3798y+(-4297) = -4774 strategic 3 ERROR add 30 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:25:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3798y+(-4297) = -4774 strategic 4 OK add 4297 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:25:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3798y = -477 strategic 1 OK divide 3798 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 3.99+(-10.43y) = -5.69 strategic 1 OK subtract 3.99 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -10.43y = -9.68 strategic 1 OK divide -10.43 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24y+52 = -18 strategic 1 OK subtract 52 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 24y = -70 strategic 1 OK divide 24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 44+25x = -64 strategic 1 OK subtract 44 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:26:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 44+25x-44 = -64-44 left 1 OK left 25x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 25x = -64-44 right 1 OK right -108 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 25x = -108 strategic 1 OK divide 25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 25x/25 = -108/25 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 x = -108/25 right 1 OK right -4.32 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 24.15 = -32.17y+77.26 strategic 1 OK subtract 77.26 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:27:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 24.15-77.26 = -32.17y+77.26-77.26 right 1 OK right -32.17y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 24.15-77.26 = -32.17y left 1 OK left -53.11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -53.11 = -32.17y strategic 1 OK divide -32.17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -53.11/-32.17 = -32.17y/-32.17 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -53.11/-32.17 = y left 1 OK left 1.6501 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 1.67+5.7x = -6.9 strategic 1 OK subtract 1.67 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:28:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 1.67+5.7x-1.67 = -6.9-1.67 left 1 OK left 5.7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:29:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.7x = -6.9-1.67 right 1 OK right -8.573 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.7x = -8.57 strategic 1 OK divide 5.7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:29:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.7x/5.7 = -8.57/5.7 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -8.57/5.7 right 1 ERROR right -12.2428 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A x = -8.57/5.7 right 2 OK right -1.503508 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -879/x+239 = 148 strategic 1 OK subtract 239 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -879/x = -91 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -879 = -91x strategic 1 OK divide -91 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 57 = 43/y+(-65) strategic 1 OK add 65 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 122 = 43/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 122y = 43 strategic 1 OK divide 122 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -368 = 683/x+870 strategic 1 OK subtract 870 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1238 = 683/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:31:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1238x = 683 strategic 1 OK divide -1238 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 70 = -17+(-77/x) strategic 1 OK add 17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 87 = -77/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 87x = -77 strategic 1 OK divide 87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -473 = 936+999/y strategic 1 OK subtract 936 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -473-936 = 936+999/y-936 right 1 OK right 999/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -473-936 = 999/y left 1 OK left -1409 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409 = 999/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409y = 999/y*y right 1 ERROR right 999y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409y = 999/y*y right 2 OK right 999 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409y = 999 left 1 OK left -1409y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409y = 999 strategic 1 OK divide -1409 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:33:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1409y/-1409 = 999/-1409 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:35:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = 999/-1409 right 1 OK right -0.70901 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:35:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -44+(-48/x) = 12 strategic 1 OK add 44 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:35:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -44+(-48/x)+44 = 12+44 left 1 OK left -48/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/x = 12+44 right 1 OK right 56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:35:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/x = 56 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:36:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/x*x = 56x left 1 OK left -48 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48 = 56x right 1 OK right 56x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48 = 56x strategic 1 OK divide 56 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:36:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/56 = 56x/56 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/56 = x left 1 BUG left -1.16666 You need to calculate -48 divided by 56, not 56 divided by -48. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -48/56 = x left 2 OK left -0.8571 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -80 = -84/y+(-92) strategic 1 OK add 92 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -80+92 = -84/y+(-92)+92 right 1 OK right -84/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -80+92 = -84/y left 1 OK left 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12 = -84/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:37:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12y = -84/y*y right 1 OK right -84 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12y = -84 left 1 OK left 12y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12y = -84 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12y/12 = -84/12 right 1 OK right -7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 12y/12 = -7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 28+35/y = 85 strategic 1 OK subtract 28 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 28+35/y-28 = 85-28 left 1 OK left 35/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35/y = 85-28 right 1 OK right 57 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35/y = 57 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35/y*y = 57y left 1 OK left 35 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:38:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35 = 57y right 1 OK right 57y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:39:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35 = 57y strategic 1 OK divide 57 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:39:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35/57 = 57y/57 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:39:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 35/57 = y left 1 OK left 0.6140 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 1x+0 = 9x+6 strategic 1 OK subtract 1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 0 = 8x+6 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -6 = 8x strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+(-7) = -7+8x strategic 1 ERROR add 3 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x+(-7) = -7+8x strategic 2 OK add 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7 = -7+11x strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 11x strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10y+6 = -6y+2 strategic 1 OK add 10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6 = 4y+2 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:40:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4 = 4y strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:41:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10+1x = 1x+(-3) strategic 1 OK subtract 1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:41:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10 = -3 strategic 1 BUG divide -3 You already solved the equation. -10 can never be equal to -3, so there is no solution to this equation. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:41:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -3y+6 strategic 1 ERROR add -3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -3y+6 strategic 2 ERROR add -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:42:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -3y+6 strategic 3 ERROR add -2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:42:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6 = -3y+6 strategic 4 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:43:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6-6 = -3y+6-6 right 1 OK right -3y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:43:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y+6-6 = -3y left 1 OK left -2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:43:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 1 ERROR add -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 2 ERROR clt -2y = -3y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 3 ERROR rds -2y = -3y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 4 ERROR distribute -2y = -3y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 3y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -3y strategic 6 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = -2y+3y right 1 OK right y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:45:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 1 BUG left 1y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:46:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 2 BUG left -2y+3y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:46:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 3 BUG left 1y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:46:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 4 BUG left y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:47:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 5 ERROR left 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:47:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 6 BUG left 1y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:48:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 7 BUG left -2y+3y Just add -2y to 3y. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in -3y+3y on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y left 8 OK left -3y+3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:55:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y+3y = y strategic 3 OK clt -3y+3y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 INITIAL_HINT y In the group above, -3y and 3y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE The coefficients in [-3y]+[3y] are -3 and 3. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -3+3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+3 = y strategic 1 OK clt -3+3 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 0 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0 = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:56:26.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+1 = 4x+9 strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+1-9 = 4x+9-9 right 1 OK right 4x condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+1-9 = 4x left 1 OK left 1x+-8 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+(-8) = 4x strategic 1 OK unnec-elems 1x+(-8)=4x condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8) = 4x strategic 1 ERROR add 8 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8) = 4x strategic 2 OK subtract 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 4x-4x right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 4x-4x right 2 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 1 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 2 ERROR left 4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 08:59:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 3 ERROR left 0x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 4 ERROR left 1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 5 ERROR left xxx condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:09.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in x+(-8)-4x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 6 BUG left x+-8 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x+(-8)-4x = 0 left 7 OK left x+-8-4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-8-4x = 0 strategic 1 OK clt x-8-4x condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG  4x  4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  4x, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG  4x  4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  4x, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG  8 Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK x condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 4 BUG -4x -4x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4x, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 5 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:00:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 OK -4x condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:01:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK x-4x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:01:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -8 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:01:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR x+-8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:03:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK x-4x+-8 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:03:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x-8 = 0 strategic 1 ERROR rds x-4x-8 = 0 strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:03:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x-8 = 0 strategic 2 BUG subtract 4x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:04:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x-8 = 0 strategic 3 OK add 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:04:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x-8+8 = 0+8 right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:04:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x-8+8 = 8 left 1 OK left x-4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:04:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x-4x = 8 strategic 1 OK clt x-4x condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:04:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -3x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 8 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x/-3 = 8/-3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 8/-3 right 1 OK right -2.6666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+1 = 2y+3 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+1-3 = 2y+3-3 right 1 OK right 2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+1-3 = 2y left 1 OK left -1y+-2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:05:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+(-2) = 2y strategic 1 BUG subtract -2 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1y+(-2) = 2y strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y+(-2) = 2y strategic 3 OK rds -1y+(-2) = 2y strategic condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y-2 = 2y strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the both side. Erase your last step and add 2 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1y-2 = 2y strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y-2 = 2y strategic 3 OK mt -1y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK -1 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK -1 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:06:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -1y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2 = 2y strategic 1 ERROR add 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y-2 = 2y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:21.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2 = 2y strategic 3 OK add 2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 2y+2y right 1 ERROR right y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 2y+2y right 2 BUG right 0 0 is equal to 2y minus 2y. You need to calculate 2y plus 2y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 2y+2y right 3 ERROR right y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:07:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 2y+2y right 4 BUG right 0y 0y is equal to 2y minus 2y. You need to calculate 2y plus 2y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:08:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 2y+2y right 5 OK right 4y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:09:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y left 1 ERROR left -y+y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:09:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y left 2 ERROR left -y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:11:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y left 3 ERROR left asdffff condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y left 4 ERROR left dsfkawqefawdfjpsdfaw condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:20.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -y-2+2y on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y left 5 OK left -y-2+2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y-2+2y = 4y strategic 3 OK clt -y-2+2y condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 BUG  2  2
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  2, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:12:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 3 OK +2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK -y+2y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -y+2y+-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 2 OK clt -y+2y-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 4 OK +2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:13:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 OK -y+2y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:14:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK -y+2y+-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:14:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 3 BUG add 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session0 2007-04-27 09:15:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 4 ERROR rds -y+2y-2 = 4y strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 1 BUG divide 4y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 2 BUG multiply 4y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 3 OK clt -y+2y-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:26:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -y+2y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -y+2y+-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 5 OK clt -y+2y-2 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG +2y +2y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +2y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 OK +2y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK -y+2y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK -2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:28:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -y+2y+-2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:31:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2 = 4y strategic 6 BUG add y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+2y-2+y = 4y+y left 1 OK left 2y-2 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-2 = 4y+y right 1 OK right 5y condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-2 = 5y strategic 1 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-2-2y = 5y-2y left 1 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 5y-2y right 1 OK right 3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 3y strategic 1 BUG divide 3y Dividing anything by itself will leave 1. If you divide 3y by 3, y will be left. Erase your last step and then divide by 3. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/(3y) = 3y/(3y) left 1 ERROR left -1.5 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/(3y) = 3y/(3y) left 2 ERROR left -0.666 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:34:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 3y strategic 2 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:34:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/3 = 3y/3 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2/3 = y left 1 OK left -0.6666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:35:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+(-2) = -8y+2 strategic 1 ERROR add 8 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+(-2) = -8y+2 strategic 2 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:35:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+(-2)+8y = -8y+2+8y right 1 OK right 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4y+(-2)+8y = 2 left 1 OK left 12y+-2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:36:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y+(-2) = 2 strategic 1 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:36:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y+(-2) = 2 strategic 2 OK subtract -2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:36:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y+(-2)-(-2) = 2-(-2) left 1 OK left 12y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:36:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y = 2-(-2) right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:37:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y = 4 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:37:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12y/12 = 4/12 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:37:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/12 right 1 BUG right 3 You need to calculate 4 divided by 12, not 12 divided by 4. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/12 right 2 OK right 0.333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:38:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.01+(-4.49x) = -6.67x+7.12 strategic 1 ERROR add -6.67 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.01+(-4.49x) = -6.67x+7.12 strategic 2 OK add 6.67x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -5.01+2.18x = 7.12 strategic 1 OK add 5.01 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 2.18x = 12.13 strategic 1 OK divide 2.18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.23y+(-2.35) = 3.62+(-1y) strategic 1 BUG add 7.23 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.23y+(-2.35) = 3.62+(-1y) strategic 2 OK add 7.23y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.35 = 3.62+6.23y strategic 1 OK subtract 3.62 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:39:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.97 = 6.23y strategic 1 OK divide 6.23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:44:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.54x+9.11 = -1.89+3.32x strategic 1 ERROR add 054x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:44:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.54x+9.11 = -1.89+3.32x strategic 2 OK add 0.54x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:44:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.11 = -1.89+3.86x strategic 1 OK add 1.89 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:44:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 11 = 3.86x strategic 1 BUG divide 3.86x Dividing anything by itself will leave 1. If you divide 3.86x by 3.86, x will be left. Erase your last step and then divide by 3.86. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:44:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 11 = 3.86x strategic 2 OK divide 3.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:45:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.4y+(-0.47) = 3.13+(-3.93y) strategic 1 OK add 9.4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:45:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.47 = 3.13+5.47y strategic 1 OK subtract 3.13 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:45:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.6 = 5.47y strategic 1 OK divide 5.47 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:46:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.25y+(-8.29) = 9.01+3.81y strategic 1 OK subtract 3.81y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:46:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.44y-8.29 = 9.01 strategic 1 OK add 8.29 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:46:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.44y = 17.3 strategic 1 OK divide 1.44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:47:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.08+8.73x = -3.37x+(-3.44) strategic 1 OK add 3.37x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:47:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.08+8.73x+3.37x = -3.37x+(-3.44)+3.37x right 1 OK right -3.44 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:48:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.08+8.73x+3.37x = -3.44 left 1 OK left 1.08+12.10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:48:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.08+12.1x = -3.44 strategic 1 OK subtract 1.08 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:48:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.08+12.1x-1.08 = -3.44-1.08 left 1 OK left 12.1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:48:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.1x = -3.44-1.08 right 1 OK right -4.52 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:49:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.1x = -4.52 strategic 1 BUG divide 12.1x Dividing anything by itself will leave 1. If you divide 12.1x by 12.1, x will be left. Erase your last step and then divide by 12.1. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:49:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.1x = -4.52 strategic 2 OK divide 12.1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:49:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 12.1x/12.1 = -4.52/12.1 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:49:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -4.52/12.1 right 1 BUG right -2.67699 You need to calculate -4.52 divided by 12.1, not 12.1 divided by -4.52. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:50:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -4.52/12.1 right 2 OK right -0.37355 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:51:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.12+3.98x = -2.9x+7.39 strategic 1 OK add 2.9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:51:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.12+3.98x+2.9x = -2.9x+7.39+2.9x right 1 OK right 7.39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:51:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.12+3.98x+2.9x = 7.39 left 1 OK left 6.12+6.88x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:51:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.12+6.88x = 7.39 strategic 1 OK subtract 6.12 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:51:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.12+6.88x-6.12 = 7.39-6.12 left 1 OK left 6.88x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:52:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.88x = 7.39-6.12 right 1 OK right 1.27 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:52:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.88x = 1.27 strategic 1 OK divide 6.88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:52:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.88x/6.88 = 1.27/6.88 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:52:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 1.27/6.88 right 1 OK right 0.18459 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:53:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+9.6y = -0.48y+(-6.81) strategic 1 ERROR add 0.48 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:53:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+9.6y = -0.48y+(-6.81) strategic 2 OK add 0.48y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:53:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+9.6y+0.48y = -0.48y+(-6.81)+0.48y right 1 OK right -6.81 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:53:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+9.6y+0.48y = -6.81 left 1 OK left 1.37+10.08y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:53:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+10.08y = -6.81 strategic 1 OK subtract 1.37 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:54:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.37+10.08y-1.37 = -6.81-1.37 left 1 OK left 10.08y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:54:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.08y = -6.81-1.37 right 1 OK right -8.18 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:54:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.08y = -8.18 strategic 1 OK divide 10.08 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:54:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 10.08y/10.08 = -8.18/10.08 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:55:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -8.18/10.08 right 1 OK right -0.81150 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:56:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A -463.15x+4598.85 = 4808.11+(-715.77x) strategic 1 OK add 715.77x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:57:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A 252.62x+4598.85 = 4808.11 strategic 1 OK subtract 4598.85 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:57:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A 252.62x = 209.26 strategic 1 OK divide 252.62 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:57:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A -975.77y+3643.39 = 183.53y+9480.22 strategic 1 OK add 975.77y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:57:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 3643.39 = 1159.3y+9480.22 strategic 1 OK subtract 9480.22 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:57:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A -5836.83 = 1159.3y strategic 1 OK divide 1159.3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:58:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 49.94y+(-83.97) = 21.85+(-96.23y) strategic 1 OK add 96.23y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:58:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 146.17y-83.97 = 21.85 strategic 1 ERROR subtract 146.17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:58:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 146.17y-83.97 = 21.85 strategic 2 OK add 83.97 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:58:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 146.17y = 105.82 strategic 1 OK divide 146.17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:58:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -61.88+73.94x = -13.91+79.15x strategic 1 OK subtract 73.94x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:59:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -61.88 = -13.91+5.21x strategic 1 OK add 13.91 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 08:59:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -47.97 = 5.21x strategic 1 OK divide 5.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:01:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 8472.18+538.62y = 6607.84+168.55y strategic 1 OK subtract 168.55y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:01:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 8472.18+538.62y-168.55y = 6607.84+168.55y-168.55y right 1 OK right 6607.84 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:02:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 8472.18+538.62y-168.55y = 6607.84 left 1 OK left 8472.18+370.07y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:02:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 8472.18+370.07y = 6607.84 strategic 1 OK subtract 8472.18 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:02:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 8472.18+370.07y-8472.18 = 6607.84-8472.18 left 1 OK left 370.07y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:03:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 370.07y = 6607.84-8472.18 right 1 OK right -1864.34 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:04:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 370.07y = -1864.34 strategic 1 OK divide 370.07 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:04:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 370.07y/370.07 = -1864.34/370.07 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:04:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A y = -1864.34/370.07 right 1 OK right -5.03780 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:04:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 35.32y+29.52 = 49.35+7.99y strategic 1 OK subtract 7.99y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:05:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 35.32y+29.52-7.99y = 49.35+7.99y-7.99y right 1 OK right 49.35 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:05:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 35.32y+29.52-7.99y = 49.35 left 1 OK left 27.33y+29.52 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:05:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y+29.52 = 49.35 strategic 1 OK subtract 29.52 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:05:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y+29.52-29.52 = 49.35-29.52 left 1 OK left 27.33y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:05:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y = 49.35-29.52 right 1 OK right 19.83 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y = 19.83 strategic 1 OK divide 27.33 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y/27.33 = 19.83/27.33 right 1 OK right 0.725576 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 27.33y/27.33 = 0.72557629 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.49y+(-34.2) = -43.11+(-90.72y) strategic 1 ERROR add 90.72 condition 2 cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.49y+(-34.2) = -43.11+(-90.72y) strategic 2 OK add 90.72y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:06:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.49y+(-34.2)+90.72y = -43.11+(-90.72y)+90.72y right 1 OK right -43.11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:07:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.49y+(-34.2)+90.72y = -43.11 left 1 ERROR left 128.21y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:09:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.49y+(-34.2)+90.72y = -43.11 left 2 OK left 128.21y+-34.2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:09:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y+(-34.2) = -43.11 strategic 1 OK subtract -34.2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:09:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y+(-34.2)-(-34.2) = -43.11-(-34.2) left 1 BUG left 128.21 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:09:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y+(-34.2)-(-34.2) = -43.11-(-34.2) left 2 OK left 128.21y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:10:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y = -43.11-(-34.2) right 1 OK right -8.913 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:10:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y = -8.91 strategic 1 OK divide 128.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:10:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 128.21y/128.21 = -8.91/128.21 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I a8YLu01 session2 2007-05-04 09:10:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 y = -8.91/128.21 right 1 OK right -0.06949 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I axjI69v session30 2007-04-23 09:36:47.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:36:57.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:37:02.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:37:19.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -11y+(-26) = -81 strategic 1 OK subtract -26 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:37:26.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -11y = -55 strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:37:45.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -14.84 = 9.84y+(-0.99) strategic 1 OK subtract -0.99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:37:52.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -13.85 = 9.84y strategic 1 OK divide 9.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:03.0 CYCLE CYCLE ES_05 ES_05-2 EG43 41+(-48y) = 93 strategic 1 ERROR subtract -48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43 41+(-48y) = 93 strategic 2 OK subtract 41 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:21.0 CYCLE CYCLE ES_05 ES_05-2 EG43 41+(-48y)-41 = 93-41 left 1 OK left -48y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -48y = 93-41 right 1 OK right 52 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:39.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -48y = 52 strategic 1 OK divide -48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -48y/-48 = 52/-48 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 52/-48 right 1 OK right 52/-48 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:38:56.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 52/-48 strategic 1 OK rf 52/-48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:39:19.0 HINT HINT ES_05 ES_05-2 EG43 null strategic 1 HINT_LEVEL_CHANGE FEEDBACK TEXT UNKNOWN HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:39:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 52/-48 strategic 2 OK rf 52/-48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:39:27.0 HINT HINT ES_05 ES_05-2 EG43 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:39:45.0 CYCLE CYCLE ES_05 ES_05-2 EG43 y = 52/-48 strategic 3 OK rf 52/-48 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row2constant factors strategic 2 BUG 4 4
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row2constant factors strategic 3 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:49.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row3-N-constant factors strategic 1 BUG 13 13
Check the sign of your answer. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:52.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row3-N-constant factors strategic 2 OK -13 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row3-D-constant factors strategic 1 BUG -12 -12
Check the sign of your answer. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:40:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43 row3-D-constant factors strategic 2 OK 12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK -13/12 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.49+0.69x = -8.61 strategic 1 OK subtract 2.49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:25.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.49+0.69x-2.49 = -8.61-2.49 left 1 OK left 0.69x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 0.69x = -8.61-2.49 right 1 OK right -11.1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 0.69x = -11.1 strategic 1 OK divide 0.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:41:56.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 0.69x/0.69 = -11.1/0.69 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42B x = -11.1/0.69 right 1 OK right -16.0869 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.09+3.82y = -2.61 strategic 1 OK subtract 0.09 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:32.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.09+3.82y-0.09 = -2.61-0.09 left 1 OK left 3.82y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.82y = -2.61-0.09 right 1 OK right -2.7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.82y = -2.7 strategic 1 OK divide 3.82 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:42:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 3.82y/3.82 = -2.7/3.82 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42C y = -2.7/3.82 right 1 OK right -2.7/3.82 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42C y = -2.7/3.82 strategic 1 OK rf -2.7/3.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:17.0 HINT HINT ES_05 ES_05-2 EG42C FinalAnswer strategic 1 INITIAL_HINT In the above expression you have -2.7/3.82. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:22.0 HINT HINT ES_05 ES_05-2 EG42C null strategic 1 HINT_LEVEL_CHANGE To simplify, divide 3.82 into -2.7. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:49.0 CYCLE CYCLE ES_05 ES_05-2 EG42C FinalAnswer strategic 2 ERROR -1.4148 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:43:52.0 HINT HINT ES_05 ES_05-2 EG42C FinalAnswer strategic 3 INITIAL_HINT -1.4148 To simplify, divide 3.82 into -2.7. HINT 2 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:44:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42C FinalAnswer strategic 4 OK -0.7068 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:44:33.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -726/x+(-799) = 403 strategic 1 OK subtract -799 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:44:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -726/x = 1202 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:05.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -726 = 1202x strategic 1 ERROR divide 12.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -726 = 1202x strategic 2 OK divide 1202 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59 90+(-23/y) = -3 strategic 1 OK subtract 90 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -23/y = -93 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:41.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -23 = -93y strategic 1 OK divide -93 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:45:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59 73 = -2/y+3 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59 70 = -2/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:06.0 CYCLE CYCLE ES_05 ES_05-3 EG59 70y = -2 strategic 1 OK divide 70 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -86+78/x = 51 strategic 1 OK add 86 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:27.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -86+78/x+86 = 51+86 left 1 OK left 78/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78/x = 51+86 right 1 OK right 137 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78/x = 137 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78/x*x = 137x left 1 OK left 78 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78 = 137x right 1 OK right 137x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:46:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78 = 137x strategic 1 OK divide 137 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:47:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78/137 = 137x/137 left 1 OK left 78/137 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:47:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59 78/137 = 137x/137 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:47:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -194 = 761/x+990 strategic 1 OK subtract 990 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:47:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -194-990 = 761/x+990-990 left 1 ERROR left -7963 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:47:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -194-990 = 761/x+990-990 left 2 BUG left -796 -796 is equal to 194 minus 990. You need to calculate -194 minus 990. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -194-990 = 761/x+990-990 left 3 OK left -1184 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184 = 761/x+990-990 right 1 OK right 761/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184 = 761/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184x = 761/x*x left 1 OK left -1184x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184x = 761/x*x right 1 OK right 761 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184x = 761 strategic 1 BUG divide 1184 In this equation, x is multiplied by -1184. Dividing by 1184 leaves -x, so you still need to remove the negative sign. It is better to divide by -1184, since that would leave x. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184x = 761 strategic 2 OK divide -1184 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -1184x/-1184 = 761/-1184 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:48:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 761/-1184 right 1 OK right 761/-1184 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:49:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 761/-1184 strategic 1 OK rf 761/-1184 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:49:07.0 HINT HINT ES_05 ES_05-4 EG59A FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 761/-1184. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:49:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A FinalAnswer strategic 2 OK -0.6427 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:49:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 524 = 741/x+(-926) strategic 1 OK subtract -926 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 524-(-926) = 741/x+(-926)-(-926) left 1 OK left 1450 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450 = 741/x+(-926)-(-926) right 1 OK right 741/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450 = 741/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:20.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450x = 741/x*x left 1 OK left 1450x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450x = 741/x*x right 1 OK right 741 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450x = 741 strategic 1 OK divide 1450 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 1450x/1450 = 741/1450 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:50:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = 741/1450 right 1 OK right 0.5110 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+7 = 2+(-4y) strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 1 ERROR subtract 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 2 ERROR clt 8y+5 = -4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:25.0 HINT HINT ES_05 ES_05-5 EG60 8y+5 = -4y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:27.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 8y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 4 ERROR distribute 8y+5 = -4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 5 ERROR add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:51:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 6 ERROR clt 8y+5 = -4y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:52:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 7 BUG divide 8 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:52:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 8 ERROR subtract 8 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:52:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+5 = -4y strategic 9 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:52:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5 = -12y strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:52:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -9+5y = 4+(-10y) strategic 1 OK subtract 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -13+5y = -10y strategic 1 OK subtract 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -13 = -15y strategic 1 OK divide -15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+9x = -2x+6 strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+9x = -2x strategic 1 OK subtract 9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4 = -11x strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x+(-2) = 6+(-5x) strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:53:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x-8 = -5x strategic 1 ERROR add -2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x+(-2) = 6+(-5x) strategic 2 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:12.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x-8 = -5x strategic 2 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2+6x = -8x+7 strategic 1 OK subtract 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5+6x = -8x strategic 1 OK subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5 = -14x strategic 1 OK divide -14 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y+(-6) = 9+1y strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y-15 = y strategic 1 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:54:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -15 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:55:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+(-7y) = -8+(-5y) strategic 1 OK subtract -5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:55:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+(-7y)-(-5y) = -8+(-5y)-(-5y) left 1 BUG left -6+-12y -6+[-12y] is equal to -6+[-7y] plus -5y. You need to calculate -6+[-7y] minus -5y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:56:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6+(-7y)-(-5y) = -8+(-5y)-(-5y) left 2 OK left -6+-7y--5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:56:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-7y+5y = -8+(-5y)-(-5y) right 1 OK right -8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:56:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-7y+5y = -8 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:56:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-7y+5y = -8 strategic 2 OK clt -6-7y+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -2y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2y+-6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-6 = -8 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-6+6 = -8+6 left 1 OK left -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = -8+6 right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:57:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y = -2 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y/-2 = -2/-2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -2/-2 right 1 OK right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:08.0 HINT HINT ES_05 ES_05-6 EG60 y = 1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:17.0 HINT HINT ES_05 ES_05-6 EG60 y = 1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:21.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y+(-10) = 2+10y strategic 1 ERROR clt -2y+(-10) = 2+10y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:58:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y+(-10) = 2+10y strategic 2 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y+(-10)-2 = 2+10y-2 left 1 BUG left -2y+-8 -2y+[-8] is equal to -2y+[-10] plus 2. You need to calculate -2y+[-10] minus 2. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y+(-10)-2 = 2+10y-2 left 2 OK left -2y+-10-2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-10-2 = 2+10y-2 right 1 OK right 10y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-10-2 = 10y strategic 1 OK clt -2y-10-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 09:59:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -2y+-12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 1 ERROR add 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 2 ERROR clt -2y-12 = 10y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 3 ERROR add 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:28.0 HINT HINT ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 5 ERROR add -2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 6 ERROR clt -2y-12 = 10y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:00:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 7 ERROR add -2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12 = 10y strategic 8 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12+2y = 10y+2y left 1 ERROR left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2y-12+2y = 10y+2y left 2 OK left -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12 = 10y+2y right 1 OK right 12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12 = 12y strategic 1 OK divide 12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12/12 = 12y/12 left 1 BUG left 1 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12/12 = 12y/12 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -12/12 = y left 1 OK left -1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:01:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+2x = 4+(-4x) strategic 1 OK subtract 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+2x-4 = 4+(-4x)-4 left 1 OK left 5+2x-4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+2x-4 = 4+(-4x)-4 right 1 OK right -4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+2x-4 = -4x strategic 1 OK subtract 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+2x-4-2x = -4x-2x left 1 OK left 5+-4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+(-4) = -4x-2x right 1 OK right -6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:02:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+(-4) = -6x strategic 1 BUG subtract 4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+(-4) = -6x strategic 2 BUG subtract -4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5+(-4) = -6x strategic 3 OK clt 5+(-4) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -6x strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-6 = -6x/-6 left 1 OK left 1/-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-6 = -6x/-6 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:53.0 HINT HINT ES_05 ES_05-6 EG60 1/-6 = x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:03:55.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-6 = x strategic 2 BUG rds 1/-6 = x strategic Simplify the fraction 1/-6. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1/-6 = x strategic 3 OK rf 1/-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -0.1666 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+10y = -9y+(-1) strategic 1 OK subtract -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+10y-(-1) = -9y+(-1)-(-1) left 1 OK left 4+10y--1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:04:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+10y+1 = -9y+(-1)-(-1) right 1 OK right -9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+10y+1 = -9y strategic 1 OK subtract 10y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+10y+1-10y = -9y-10y left 1 OK left 4+1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+1 = -9y-10y right 1 OK right -19y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+1 = -19y strategic 1 OK clt 4+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR 3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:25.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 3 INITIAL_HINT -3 Simplify the expression [4]+[1]. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:29.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+1 = -19y strategic 2 BUG subtract 1 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+1 = -19y strategic 3 OK clt 4+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:48.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 4 INITIAL_HINT Simplify the expression [4]+[1]. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:05:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 OK 5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:06:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5 = -19y strategic 1 OK divide -19 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:06:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5/-19 = -19y/-19 left 1 OK left -0.2631 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:06:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.26315789 = -19y/-19 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:06:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+(-4) = 1+(-10x) strategic 1 OK subtract 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:06:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+(-4)-1 = 1+(-10x)-1 left 1 OK left -8x+-4-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x-4-1 = 1+(-10x)-1 right 1 OK right -10x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x-4-1 = -10x strategic 1 OK add 8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x-4-1+8x = -10x+8x left 1 OK left -4-1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-1 = -10x+8x right 1 OK right -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4-1 = -2x strategic 1 OK clt -4-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5 = -2x strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5/-2 = -2x/-2 left 1 OK left 2.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:07:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2.5 = -2x/-2 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x+(-4) = -1+(-7x) strategic 1 OK add 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x+(-4)+1 = -1+(-7x)+1 left 1 OK left -4x+-4+1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-4+1 = -1+(-7x)+1 right 1 OK right -7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-4+1 = -7x strategic 1 BUG add -4x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-4+1 = -7x strategic 2 OK add 4x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x-4+1+4x = -7x+4x left 1 OK left -4+1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+1 = -7x+4x right 1 OK right -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4+1 = -3x strategic 1 OK clt -4+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:08:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3/-3 = -3x/-3 left 1 OK left 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1 = -3x/-3 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y+(-6) = 6+9y strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y+(-6)-6 = 6+9y-6 left 1 OK left 8y+-6-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-6-6 = 6+9y-6 right 1 OK right 9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-6-6 = 9y strategic 1 OK subtract 8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 8y-6-6-8y = 9y-8y left 1 OK left -6-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-6 = 9y-8y right 1 OK right y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6-6 = y strategic 1 OK clt -6-6 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:09:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+4 = -9+5x strategic 1 OK add 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+4+9 = -9+5x+9 left 1 OK left -2x+4+9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+4+9 = -9+5x+9 right 1 OK right 5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+4+9 = 5x strategic 1 OK add 2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2x+4+9+2x = 5x+2x left 1 OK left 4+9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+9 = 5x+2x right 1 OK right 7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+9 = 7x strategic 1 OK clt 4+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 13 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13 = 7x strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13/7 = 7x/7 left 1 OK left 1.8571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:10:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1.85714286 = 7x/7 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+6 = 6+8x strategic 1 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+6-6 = 6+8x-6 left 1 OK left -7x+6-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+6-6 = 6+8x-6 right 1 OK right 8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+6-6 = 8x strategic 1 OK add 7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -7x+6-6+7x = 8x+7x left 1 OK left 6-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6-6 = 8x+7x right 1 OK right 15x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6-6 = 15x strategic 1 OK clt 6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 15x strategic 1 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 15x/15 = 0/15 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:11:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 0/15 right 1 OK right 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 15x strategic 2 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0/15 = 15x/15 left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 15x/15 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+1y = 8y+8 strategic 1 OK subtract 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+1y-8 = 8y+8-8 left 1 OK left 2+1y-8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+1y-8 = 8y+8-8 right 1 OK right 8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+1y-8 = 8y strategic 1 OK unnec-elems 2+1y-8=8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+y-8 = 8y strategic 1 OK subtract y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+y-8-y = 8y-y left 1 OK left 2+-8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:12:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+(-8) = 8y-y right 1 OK right 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2+(-8) = 7y strategic 1 OK clt 2+(-8) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6 = 7y strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -6/7 = 7y/7 left 1 OK left -0.8571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.85714286 = 7y/7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-6y) = -6y+(-2) strategic 1 OK subtract -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-6y)-(-2) = -6y+(-2)-(-2) left 1 OK left -5+-6y--2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:13:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-6y+2 = -6y+(-2)-(-2) right 1 OK right -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-6y+2 = -6y strategic 1 OK add 6y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5-6y+2+6y = -6y+6y left 1 OK left -5+2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = -6y+6y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = -6y+6y right 2 ERROR right -y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:26.0 HINT HINT ES_05 ES_05-6 EG60 -5+2 = -6y+6y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:32.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -6y+6y on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = -6y+6y right 3 OK right -6y+6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:14:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = -6y+6y strategic 2 OK clt -5+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:16:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5+2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:16:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = -6y+6y strategic 3 OK clt -6y+6y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:16:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:16:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:04.0 HINT HINT ES_05 ES_05-6 EG60 -5+2 = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:08.0 HINT HINT ES_05 ES_05-6 EG60 -5+2 = 0 strategic 2 INITIAL_HINT condition 1 [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:08.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+2 = 0 strategic 3 OK clt -5+2 condition 1 [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4y = -4+6y strategic 1 OK add 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4y+4 = -4+6y+4 left 1 OK left -5+4y+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:17:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4y+4 = -4+6y+4 right 1 OK right 6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4y+4 = 6y strategic 1 OK subtract 4y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4y+4-4y = 6y-4y left 1 OK left -5+4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4 = 6y-4y right 1 OK right 2y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+4 = 2y strategic 1 OK clt -5+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y strategic 1 ERROR clt -1 = 2y strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:18:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1 = 2y strategic 2 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1/2 = 2y/2 left 1 OK left -0.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.5 = 2y/2 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+(-3x) = -5x+8 strategic 1 OK subtract 8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+(-3x)-8 = -5x+8-8 left 1 OK left -3+-3x-8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-3x-8 = -5x+8-8 right 1 OK right -5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:19:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-3x-8 = -5x strategic 1 OK add 3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-3x-8+3x = -5x+3x left 1 OK left -3-8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-8 = -5x+3x right 1 OK right -2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3-8 = -2x strategic 1 OK clt -3-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11 = -2x strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11/-2 = -2x/-2 left 1 OK left 5.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 5.5 = -2x/-2 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:20:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+8y = -3y+(-3) strategic 1 OK subtract -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+8y-(-3) = -3y+(-3)-(-3) left 1 OK left 7+8y--3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+8y+3 = -3y+(-3)-(-3) right 1 OK right -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+8y+3 = -3y strategic 1 OK subtract 8y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+8y+3-8y = -3y-8y left 1 OK left 7+3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+3 = -3y-8y right 1 OK right -11y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7+3 = -11y strategic 1 OK clt 7+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 10 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:21:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10 = -11y strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10/-11 = -11y/-11 left 1 ERROR left -0909 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 10/-11 = -11y/-11 left 2 OK left -0.9090 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -0.90909091 = -11y/-11 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9+(-5y) = 1y+(-7) strategic 1 OK subtract -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9+(-5y)-(-7) = 1y+(-7)-(-7) left 1 OK left 9+-5y--7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9-5y+7 = 1y+(-7)-(-7) right 1 OK right y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:22:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9-5y+7 = y strategic 1 BUG add 5y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:03.0 HINT HINT ES_05 ES_05-6 EG60 9-5y+7 = y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9-5y+7 = y strategic 3 OK clt 9-5y+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG 9 9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 16 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5y+16 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+16 = y strategic 1 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+16+5y = y+5y left 1 OK left 16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16 = y+5y right 1 OK right 6y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:23:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16 = 6y strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 16/6 = 6y/6 left 1 OK left 2.6666 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 2.66666667 = 6y/6 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.47+5.04y = 2.8+(-9.26y) strategic 1 OK subtract 2.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.67+5.04y = -9.26y strategic 1 ERROR subtract 504y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.67+5.04y = -9.26y strategic 2 OK subtract 5.04y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.67 = -14.3y strategic 1 OK divide -14.3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:24:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.46643357 = y strategic 1 BUG clt -0.46643357 = y strategic You already solved the equation. y is -0.4664. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:25:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.15+5.39y = -4.41y+(-9.91) strategic 1 ERROR add 4.41 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:25:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 9.15+5.39y = -4.41y+(-9.91) strategic 2 OK subtract -9.91 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session30 2007-04-23 10:25:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 19.06+5.39y = -4.41y strategic 1 ERROR subtract 5.39 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:36:26.0 HINT HINT ES_05 ES_05-7 EG61 19.06+5.39y = -4.41y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:36:29.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 5.39y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:36:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 19.06+5.39y = -4.41y strategic 2 OK subtract 5.39y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:36:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 19.06 = -9.8y strategic 1 OK divide -9.8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.24y+2.02 = -5.88+(-3.01y) strategic 1 OK subtract 2.02 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.24y = -7.9-3.01y strategic 1 OK add 3.01y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.77y = -7.9 strategic 1 OK divide 0.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.52x+(-7.61) = 1.54+(-9.91x) strategic 1 BUG subtract 7.61 Since -7.61 is negative, you should add to remove it from the both side. Erase your last step and add 7.61 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.52x+(-7.61) = 1.54+(-9.91x) strategic 2 OK subtract -7.61 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:37:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.52x = 9.15-9.91x strategic 1 ERROR add 9.91 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.52x = 9.15-9.91x strategic 2 OK add 9.91x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.39x = 9.15 strategic 1 BUG divide 3.39x Dividing anything by itself will leave 1. If you divide 3.39x by 3.39, x will be left. Erase your last step and then divide by 3.39. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 3.39x = 9.15 strategic 2 OK divide 3.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.09y+(-4.41) = -0.92y+9 strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.09y-13.41 = -0.92y strategic 1 OK subtract 1.09y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:38:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -13.41 = -2.01y strategic 1 OK divide -2.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:39:00.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.85y+1.84 = 8.12y+5.9 strategic 1 OK subtract 5.9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:39:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.85y-4.06 = 8.12y strategic 1 OK add 4.85y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:39:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.06 = 12.97y strategic 1 OK divide 12.97 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:39:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96 = 3.62+2.26x strategic 1 OK subtract 3.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:40:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 3.62+2.26x-3.62 left 1 ERROR left -731x+0.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:40:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 3.62+2.26x-3.62 left 2 ERROR left -731x+-0.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:40:37.0 HINT HINT ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 3.62+2.26x-3.62 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:40:44.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -7.31x+2.96-3.62 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 3.62+2.26x-3.62 left 3 OK left -7.31x+2.96-3.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 3.62+2.26x-3.62 right 1 OK right 2.26x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 2.26x strategic 1 BUG add -7.31x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x+2.96-3.62 = 2.26x strategic 2 OK clt -7.31x+2.96-3.62 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -7.31x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +2.96 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:41:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -3.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -7.31x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -0.66 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -7.31x+-0.66 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 1 ERROR add 7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 2 ERROR add -7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:42:59.0 HINT HINT ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:02.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Move 7.31x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 4 ERROR add 7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 5 ERROR subtract 7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 6 ERROR add -7.31 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:56.0 HINT HINT ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:43:57.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Move 7.31x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 8 ERROR add -7.31x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66 = 2.26x strategic 9 OK add 7.31x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.31x-0.66+7.31x = 2.26x+7.31x left 1 OK left -0.66 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.66 = 2.26x+7.31x right 1 OK right 9.57x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.66 = 9.57x strategic 1 OK divide 9.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:44:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.66/9.57 = 9.57x/9.57 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:45:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.66/9.57 = x left 1 ERROR left -0.689 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:45:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.66/9.57 = x left 2 OK left -0.0689 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:45:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y+2.72 = 3.42+(-7.05y) strategic 1 OK subtract 2.72 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:45:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y+2.72-2.72 = 3.42+(-7.05y)-2.72 left 1 OK left 4.28y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y = 3.42+(-7.05y)-2.72 right 1 OK right 3.42+-7.05y-2.72 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y = 3.42-7.05y-2.72 strategic 1 OK clt 3.42-7.05y-2.72 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK -7.05y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -2.72 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 3.42 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK -7.05y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:46:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 0.7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR -7.05y+0. condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK -7.05y+0.7 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y = -7.05y+0.7 strategic 1 ERROR add 7.05 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y = -7.05y+0.7 strategic 2 OK add 7.05y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.28y+7.05y = -7.05y+0.7+7.05y left 1 OK left 11.33y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.33y = -7.05y+0.7+7.05y right 1 OK right 0.7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:47:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.33y = 0.7 strategic 1 OK divide 11.33 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:48:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 11.33y/11.33 = 0.7/11.33 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:48:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 0.7/11.33 right 1 OK right 0.0617 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:48:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y+3.64 = -9.03y+5.76 strategic 1 OK subtract 3.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:48:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y+3.64-3.64 = -9.03y+5.76-3.64 left 1 OK left -8.75y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:49:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y = -9.03y+5.76-3.64 right 1 ERROR right -9.03+2.12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:49:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y = -9.03y+5.76-3.64 right 2 ERROR right -9.03+-2.12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:49:50.0 HINT HINT ES_05 ES_05-8 EG61 -8.75y = -9.03y+5.76-3.64 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:49:52.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -9.03y+5.76-3.64 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y = -9.03y+5.76-3.64 right 3 OK right -9.03y+5.76-3.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y = -9.03y+5.76-3.64 strategic 2 OK clt -9.03y+5.76-3.64 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK -9.03y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +5.76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -3.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK -9.03y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 2.12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -9.03y+2.12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:50:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y = -9.03y+2.12 strategic 1 OK add 9.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.75y+9.03y = -9.03y+2.12+9.03y left 1 OK left 0.28y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.28y = -9.03y+2.12+9.03y right 1 OK right 2.12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.28y = 2.12 strategic 1 OK divide 0.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.28y/0.28 = 2.12/0.28 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 2.12/0.28 right 1 OK right 7.5714 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:51.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7045.09+879.03x = -3011.93+68.15x strategic 1 ERROR subtract 68.15 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:51:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7045.09+879.03x = -3011.93+68.15x strategic 2 ERROR clt 7045.09+879.03x = -3011.93+68.15x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:09.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7045.09+879.03x = -3011.93+68.15x strategic 3 OK subtract 68.15x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7045.09+810.88x = -3011.93 strategic 1 OK subtract 7045.09 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 810.88x = -10057.02 strategic 1 OK divide 810.88 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -88.57+33.2y = -7.77+81.16y strategic 1 OK add 88.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62 33.2y = 80.8+81.16y strategic 1 OK subtract 81.16y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:52:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -47.96y = 80.8 strategic 1 OK divide -47.96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:53:20.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 1777.86+(-65.88y) = 988.75y+(-1877.41) strategic 1 OK subtract 1777.86 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:53:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -65.88y = 988.75y-3655.27 strategic 1 OK subtract 988.75y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:53:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -1054.63y = -3655.27 strategic 1 OK divide -1054.63 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:54:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 3444.66+(-235.74y) = -861.97y+(-3722.66) strategic 1 OK subtract 3444.66 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:54:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -235.74y = -861.97y-7167.32 strategic 1 ERROR add 861.97 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:54:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -235.74y = -861.97y-7167.32 strategic 2 OK add 861.97y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:54:49.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 626.23y = -7167.32 strategic 1 OK divide 626.23 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:55:08.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -350.55x+(-5145.85) = 5942.21+(-274.54x) strategic 1 OK add 350.55x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:55:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -5145.85 = 5942.21+76.01x strategic 1 OK subtract 5942.21 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:55:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -11088.06 = 76.01x strategic 1 OK divide 76.01 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:55:39.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -970.97y+9581.46 = -664.03y+4032.93 strategic 1 OK subtract 9581.46 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:55:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -970.97y = -664.03y-5548.53 strategic 1 OK add 664.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:56:04.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -306.94y = -5548.53 strategic 1 OK divide -306.94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:56:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 14.32y+(-4.9) = 80.11y+(-87.91) strategic 1 OK subtract 80.11y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:56:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 14.32y+(-4.9)-80.11y = 80.11y+(-87.91)-80.11y left 1 OK left 14.32y+-4.9-80.11y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:56:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 14.32y-4.9-80.11y = 80.11y+(-87.91)-80.11y right 1 OK right -87.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 14.32y-4.9-80.11y = -87.91 strategic 1 OK clt 14.32y-4.9-80.11y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 OK 14.32y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y2R1 strategic 1 OK -80.11y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -4.9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 ERROR 65.79y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:57:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 2 OK -65.79y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:58:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -4.9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:58:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK -65.79y+-4.9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:58:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -65.79y-4.9 = -87.91 strategic 1 OK add 4.9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:58:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -65.79y-4.9+4.9 = -87.91+4.9 left 1 OK left -65.79y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:58:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -65.79y = -87.91+4.9 right 1 OK right -83.01 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:59:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -65.79y = -83.01 strategic 1 OK divide -65.79 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:59:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -65.79y/-65.79 = -83.01/-65.79 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:59:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -83.01/-65.79 right 1 ERROR right 26.17 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:59:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y = -83.01/-65.79 right 2 OK right 1.2617 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 09:59:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -8493.44+(-909.38x) = 9518.01+81.12x strategic 1 OK subtract 9518.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -8493.44+(-909.38x)-9518.01 = 9518.01+81.12x-9518.01 left 1 OK left -8493.44+-909.38x-9518.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -8493.44-909.38x-9518.01 = 9518.01+81.12x-9518.01 right 1 OK right 81.12x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -8493.44-909.38x-9518.01 = 81.12x strategic 1 OK clt -8493.44-909.38x-9518.01 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 BUG -8493.44 -8493.44
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8493.44, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 OK -909.38x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:00:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 BUG  8493.44 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:01:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK -8493.44 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:01:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -9518.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:01:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 OK -909.38x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:01:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 ERROR -18011. condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:01:47.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 2 OK -18011.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:02:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR -909.38+-18011.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:02:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK -909.38x+-18011.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:02:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -909.38x-18011.45 = 81.12x strategic 1 OK add 909.38x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:02:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -909.38x-18011.45+909.38x = 81.12x+909.38x left 1 BUG left 18011.45 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:02:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -909.38x-18011.45+909.38x = 81.12x+909.38x left 2 OK left -18011.45 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:03:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -18011.45 = 81.12x+909.38x right 1 OK right 990.50x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:03:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -18011.45 = 990.5x strategic 1 OK divide 990.5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:03:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -18011.45/990.5 = 990.5x/990.5 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:03:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -18011.45/990.5 = x left 1 OK left -18.1841 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:03:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62 26.97x+(-50.35) = 7.1x+(-74.51) strategic 1 OK subtract 7.1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 26.97x+(-50.35)-7.1x = 7.1x+(-74.51)-7.1x left 1 OK left 26.97x+-50.35-7.1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 26.97x-50.35-7.1x = 7.1x+(-74.51)-7.1x right 1 OK right -74.51 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 26.97x-50.35-7.1x = -74.51 strategic 1 OK clt 26.97x-50.35-7.1x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK 26.97x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x2R1 strategic 1 OK -7.1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -50.35 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -50.35 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK 19.87x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 19.87x+-50.35 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:04:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.87x-50.35 = -74.51 strategic 1 OK add 50.35 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.87x-50.35+50.35 = -74.51+50.35 left 1 OK left 19.87x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.87x = -74.51+50.35 right 1 OK right -24.16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.87x = -24.16 strategic 1 OK divide 19.87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 19.87x/19.87 = -24.16/19.87 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -24.16/19.87 right 1 ERROR right -2.2159 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:05:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x = -24.16/19.87 right 2 OK right -1.2159 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y+(-3.38) = 99.92+(-53.38y) strategic 1 OK subtract 99.92 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y+(-3.38)-99.92 = 99.92+(-53.38y)-99.92 left 1 OK left -83.25y+-3.38-99.92 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y-3.38-99.92 = 99.92+(-53.38y)-99.92 right 1 OK right -53.38y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y-3.38-99.92 = -53.38y strategic 1 OK clt -83.25y-3.38-99.92 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 OK -83.25y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -3.38 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -99.92 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:06:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK -83.25y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:07:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -103.3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:07:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK -83.25y+-103.3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:07:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y-103.3 = -53.38y strategic 1 OK add 83.25y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:07:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -83.25y-103.3+83.25y = -53.38y+83.25y left 1 OK left -103.3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:07:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -103.3 = -53.38y+83.25y right 1 ERROR right 28.87y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:08:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -103.3 = -53.38y+83.25y right 2 OK right 29.87y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:08:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -103.3 = 29.87y strategic 1 OK divide 29.87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:08:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -103.3/29.87 = 29.87y/29.87 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 axjI69v session31 2007-04-27 10:08:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -103.3/29.87 = y left 1 OK left -3.4583 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 c71bRSy session0 2007-05-03 08:35:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 209/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:35:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:37:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A 8719+(-4033y) = 9278 strategic 1 OK answer-check -559/4033 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:39:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B 11.44x+(-11.65) = 8.9 strategic 1 OK answer-check 1.7963 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:40:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.49+14.27x = -5.26 strategic 1 ERROR answer-check 0.2615 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:48:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.49+14.27x = -5.26 strategic 2 ERROR answer-check -1.327 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:49:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 5.49+14.27x = -5.26 strategic 3 OK answer-check -0.75332866 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:52:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9536 = 6105+(-5319x) strategic 1 ERROR answer-check 2.14 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:52:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9536 = 6105+(-5319x) strategic 2 ERROR answer-check 2.147772 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:53:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9536 = 6105+(-5319x) strategic 3 ERROR answer-check 0.0454 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:53:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 9536 = 6105+(-5319x) strategic 4 OK answer-check -0.645 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:57:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -44.02+91.06x = 45.2 strategic 1 ERROR answer-check -0.32437 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:57:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -44.02+91.06x = 45.2 strategic 2 ERROR answer-check -3.0954111 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:58:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -44.02+91.06x = 45.2 strategic 3 ERROR answer-check 3.0954111 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 08:59:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -44.02+91.06x = 45.2 strategic 4 OK answer-check 0.9798 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:02:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -28 = -89+(-26y) strategic 1 ERROR answer-check 0.426229 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:02:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -28 = -89+(-26y) strategic 2 OK answer-check -2.346 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:05:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.86x+(-3.08) = -2.13 strategic 1 ERROR answer-check -2.084 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:06:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.86x+(-3.08) = -2.13 strategic 2 ERROR answer-check 1 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:06:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.86x+(-3.08) = -2.13 strategic 3 ERROR answer-check 5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:06:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 10.86x+(-3.08) = -2.13 strategic 4 OK answer-check 0.0875 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:08:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -94+(-33y) = -84 strategic 1 OK answer-check -0.303030 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:11:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.44+(-3.26x) = 1.63 strategic 1 ERROR answer-check 4.929 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:12:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.44+(-3.26x) = 1.63 strategic 2 ERROR answer-check -4.929 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:12:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.44+(-3.26x) = 1.63 strategic 3 ERROR answer-check -0.2028 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:13:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 14.44+(-3.26x) = 1.63 strategic 4 OK answer-check 3.9294 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:21:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -30+34x = -31 strategic 1 ERROR answer-check -1.7941 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:21:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -30+34x = -31 strategic 2 ERROR answer-check -15.25 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:21:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -30+34x = -31 strategic 3 ERROR answer-check 5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:21:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -30+34x = -31 strategic 4 OK answer-check -0.0294 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:24:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -5.94+(-3.47y) = -4.25 strategic 1 ERROR answer-check -0.501 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:25:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -5.94+(-3.47y) = -4.25 strategic 2 ERROR answer-check -0501 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:25:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -5.94+(-3.47y) = -4.25 strategic 3 ERROR answer-check -1.99 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:25:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -5.94+(-3.47y) = -4.25 strategic 4 OK answer-check -0.487 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:31:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8227 = 6218x+3165 strategic 1 OK answer-check -1.832 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:33:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 91+12y strategic 1 ERROR answer-check 0.076 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:33:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 91+12y strategic 2 ERROR answer-check 0.1290 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:34:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 91+12y strategic 3 ERROR answer-check 0 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:34:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -90 = 91+12y strategic 4 OK answer-check -15.0833 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I c71bRSy session0 2007-05-03 09:38:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 23.05 = -76.1+(-66.42x) strategic 1 OK answer-check -1.49 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I dIUTKe8 session0 2007-04-19 09:44:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:44:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:45:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:46:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.31y+(-0.84) = 1.44 strategic 1 OK subtract -.84 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:46:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.31y = 2.28 strategic 1 OK divide -10.31 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:46:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -10.31y+(-0.84) = 1.44 strategic 2 OK answer-check -.2211 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 6788 = -1362x+(-8652) strategic 1 OK add 8652 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:47:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 15440 = -1362x strategic 1 OK divide -1362 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 6788 = -1362x+(-8652) strategic 2 OK answer-check -7720/681 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:49:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 67+22y = -93 strategic 1 ERROR subtract 22 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:49:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 67+22y = -93 strategic 2 OK subtract 67 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 22y = -160 strategic 1 OK divide 22 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:50:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 67+22y = -93 strategic 3 OK answer-check -80/11 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:51:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 11.47 = -6.89+(-12.72y) strategic 1 OK subtract -6.89 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:51:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 18.36 = -12.72y strategic 1 OK divide -12.72 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 11.47 = -6.89+(-12.72y) strategic 2 OK answer-check -1.4434 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 99.57 = -32.95+70.1y strategic 1 OK add 32.95 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:52:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 132.52 = 70.1y strategic 1 OK divide 70.1 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:53:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 99.57 = -32.95+70.1y strategic 2 OK answer-check 1.8904 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:54:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x+(-10.63) = 12.16 strategic 1 OK add 10.63 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:54:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x+(-10.63)+10.63 = 12.16+10.63 left 1 OK left -1.7x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:54:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x = 12.16+10.63 right 1 OK right 22.79 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:54:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x = 22.79 strategic 1 OK divide -1.7 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:54:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x/-1.7 = 22.79/-1.7 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 22.79/-1.7 right 1 OK right -13.405 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:55:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.7x+(-10.63) = 12.16 strategic 2 OK answer-check -13.4059 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 1 OK add 12 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x)+12 = 65+12 left 1 OK left -48x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 65+12 right 1 OK right 77 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 77 strategic 1 OK divide -48 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x/-48 = 77/-48 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:56:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 77/-48 right 1 OK right -1.60416 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:57:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 2 ERROR answer-check 1.604 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:57:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 3 ERROR answer-check 1.6042 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:58:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 4 ERROR answer-check -.6233 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 77 strategic 2 OK divide -48 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:58:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x/-48 = 77/-48 left 2 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 09:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 77/-48 right 2 OK right -.6233 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:00:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 5 OK add 12 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:00:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x)+12 = 65+12 left 2 OK left -48x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:00:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 65+12 right 2 OK right 77 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:00:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 77 strategic 3 BUG divide 48 In this equation, x is multiplied by -48. Dividing by 48 leaves -x, so you still need to remove the negative sign. It is better to divide by -48, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:01:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x/48 = 77/48 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 77/48 right 1 OK right 1.604166 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:02:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x = 77 strategic 4 OK divide -48 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:03:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -48x/-48 = 77/-48 left 3 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:03:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 77/-48 right 3 OK right -1.604 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:03:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12+(-48x) = 65 strategic 6 OK answer-check -1.6042 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:04:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x+1226 = -9188 strategic 1 OK subtract 1226 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:04:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x+1226-1226 = -9188-1226 left 1 OK left -6159x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:06:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x = -9188-1226 right 1 OK right -10414 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:06:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x = -10414 strategic 1 BUG divide -6159x Dividing anything by itself will leave 1. If you divide -6159x by -6159, x will be left. Erase your last step and then divide by -6159. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:07:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x = -10414 strategic 2 OK divide -6159 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:07:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x/-6159 = -10414/-6159 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:08:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -10414/-6159 right 1 OK right 1.6908 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:08:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6159x+1226 = -9188 strategic 2 OK answer-check 1.6908 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:09:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x+(-1.51) = -7.03 strategic 1 OK add 1.51 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:09:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x+(-1.51)+1.51 = -7.03+1.51 left 1 OK left 1.81x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:10:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x = -7.03+1.51 right 1 OK right -5.52 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:10:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x = -5.52 strategic 1 OK divide 1.81 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x/1.81 = -5.52/1.81 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:11:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -5.52/1.81 right 1 OK right -3.04 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x+(-1.51) = -7.03 strategic 2 ERROR answer-check -3.04 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:11:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 1.81x+(-1.51) = -7.03 strategic 3 OK answer-check -3.0497 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:14:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 4.75 = -49.53y+81.15 strategic 1 OK subtract 81.15 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:14:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 4.75-81.15 = -49.53y+81.15-81.15 left 1 OK left -76.4 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -76.4 = -49.53y+81.15-81.15 right 1 OK right -49.53y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:15:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -76.4 = -49.53y strategic 1 OK divide -49.53 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:16:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -76.4/-49.53 = -49.53y/-49.53 left 1 OK left 1.5424 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:16:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 1.5424995 = -49.53y/-49.53 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:17:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 4.75 = -49.53y+81.15 strategic 2 OK answer-check 1.5425 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:17:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x+(-43) = 64 strategic 1 OK add 43 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:17:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x+(-43)+43 = 64+43 left 1 OK left 9x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:18:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x = 64+43 right 1 OK right 107 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:18:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x = 107 strategic 1 OK divide 9 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x/9 = 107/9 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 107/9 right 1 OK right 11.8888 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:18:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 9x+(-43) = 64 strategic 2 OK answer-check 11.8888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:19:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -9 = -65+(-43/y) strategic 1 OK add 65 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:19:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 1 BUG multiply -43 To remove -43/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -43/y. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -2408 = 1849/y strategic 1 ERROR rf -2408 = 1849/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:21:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 2 ERROR rf 56 = -43/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:21:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 3 ERROR distribute 56 = -43/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:21:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 4 ERROR rds 56 = -43/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:21:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 5 ERROR mt 56 = -43/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:21:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 6 ERROR clt 56 = -43/y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:22:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 7 ERROR multiply 43 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:25:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 2408 = -1849/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:25:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56 = -43/y strategic 8 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:30:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 56y = -43 strategic 1 OK divide 56 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -9 = -65+(-43/y) strategic 1 OK answer-check -43/56 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:31:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -38+30/x = 52 strategic 1 OK add 38 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:32:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 30/x = 90 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:32:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 30 = 90x strategic 1 OK divide 90 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:32:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -38+30/x = 52 strategic 2 OK answer-check 1/3 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:32:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -358 = 779+175/y strategic 1 OK subtract 779 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:32:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1137 = 175/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:33:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1137y = 175 strategic 1 OK divide -1137 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:33:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -358 = 779+175/y strategic 2 OK answer-check -175/1137 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:37:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 89 = 24/y+(-70) strategic 1 OK add 70 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:37:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 159 = 24/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:37:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 159y = 24 strategic 1 OK divide 159 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:38:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 89 = 24/y+(-70) strategic 2 OK answer-check 8/53 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:38:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y+129 = 172 strategic 1 OK subtract 129 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:38:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y+129-129 = 172-129 left 1 OK left -552/y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:39:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y = 172-129 right 1 OK right 43 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:39:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y = 43 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:39:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y*y = 43y left 1 OK left -552y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:39:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552y = 43y right 1 OK right 43y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:40:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y = 43 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:40:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y*y = 43y left 2 OK left -552 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:40:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y = 43 strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:41:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y*y = 43y left 3 OK left -552 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:41:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552 = 43y right 1 OK right 43y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:41:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552 = 43y strategic 1 OK divide 43 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:41:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/43 = 43y/43 left 1 OK left -12.83 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -12.83 = 43y/43 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:42:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y+129 = 172 strategic 2 ERROR answer-check -12.83 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:42:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -552/y+129 = 172 strategic 3 OK answer-check -12.8372 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:43:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 34+(-73/x) strategic 1 OK subtract 34 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:43:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93-34 = 34+(-73/x)-34 left 1 OK left -127 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127 = 34+(-73/x)-34 right 1 OK right -73/y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127 = -73/y strategic 1 BUG multiply y You already solved the equation. -127 can never be equal to -73/y, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127y = -73/y*y left 1 OK left -127y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127y = -73/y*y right 1 OK right -73 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127y = -73 strategic 1 BUG divide -127 You already solved the equation. -127y can never be equal to -73, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:44:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -127y/-127 = -73/-127 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:45:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = -73/-127 right 1 OK right .5748 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:45:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -93 = 34+(-73/x) strategic 2 OK answer-check .5748 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:46:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 822 = -205/y+(-756) strategic 1 OK add 756 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:46:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 822+756 = -205/y+(-756)+756 left 1 OK left 1578 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:46:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578 = -205/y+(-756)+756 right 1 OK right -205/y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:47:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578 = -205/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:48:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578y = -205/y*y left 1 OK left 1578 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:48:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578 = -205/y*y right 1 OK right -205 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:48:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578 = -205/y strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578y = -205/y*y left 2 OK left 1578y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:49:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578y = -205/y*y right 1 OK right -205 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:49:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578y = -205 strategic 1 OK divide 1578 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1578y/1578 = -205/1578 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:50:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -205/1578 right 1 OK right -.1299 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 822 = -205/y+(-756) strategic 2 OK answer-check -.1299 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:50:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -50 = -18/x+(-29) strategic 1 OK add 29 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:51:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -50+29 = -18/x+(-29)+29 left 1 OK left -21 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:51:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -18/x+(-29)+29 right 1 OK right -18/x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:51:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21 = -18/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:51:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -18/x*x left 1 OK left -21x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:51:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -18/x*x right 1 OK right -18 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:52:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x = -18 strategic 1 OK divide -21 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:52:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -21x/-21 = -18/-21 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:52:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -18/-21 right 1 OK right .85714 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -50 = -18/x+(-29) strategic 2 OK answer-check .8571 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:53:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 1 ERROR distribute 2+9y = 7y+(-3) strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 2 ERROR clt 2+9y = 7y+(-3) strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 3 ERROR mt 2+9y = 7y+(-3) strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 4 ERROR subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 5 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:54:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 1 ERROR subtract 5 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 2 ERROR clt 5+9y = 7y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:55:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 3 ERROR subtract 5 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:55:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 4 ERROR divide y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:55:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 (5+9y)/y = 7 strategic 1 ERROR rf (5+9y)/y = 7 strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:55:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 (5+9y)/y = 7 strategic 2 ERROR clt (5+9y)/y = 7 strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session0 2007-04-19 10:55:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 (5+9y)/y = 7 strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:43:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 1 ERROR multiply y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:43:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 2 ERROR divide y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:44:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 3 ERROR clt 5+9y = 7y strategic condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:44:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5+9y = 7y strategic 4 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:45:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5 = -2y strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:45:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+9y = 7y+(-3) strategic 1 OK answer-check -5/2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:46:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x+4 = -5x+(-4) strategic 1 OK subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:47:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 1 ERROR add 8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:47:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 2 OK add 7x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:48:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x = -5x-8 strategic 3 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:48:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2x = -8 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:48:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7x+4 = -5x+(-4) strategic 2 OK answer-check 4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:49:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-6x) = 2x+(-7) strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:49:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6x = 2x+2 strategic 1 OK subtract 2x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:49:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8x = 2 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-6x) = 2x+(-7) strategic 2 OK answer-check -1/4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:50:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7+7x = -3x+(-2) strategic 1 OK add 7 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:50:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7x = -3x+5 strategic 1 OK add 3x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:51:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10x = 5 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:51:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -7+7x = -3x+(-2) strategic 2 OK answer-check 1/2 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:52:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 1 OK add 10 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:52:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10)+10 = -5+(-2y)+10 left 1 OK left -4y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:52:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -5+(-2y)+10 right 1 OK right -5+8y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:53:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -5+8y strategic 1 OK subtract 8y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:53:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y-8y = -5+8y-8y left 1 OK left -12y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:53:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y = -5+8y-8y right 1 OK right -5 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:53:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y = -5 strategic 1 OK divide -12 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:53:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y/-12 = -5/-12 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:54:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -5/-12 right 1 OK right .416666 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:54:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 2 ERROR answer-check .4167 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:54:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 3 ERROR answer-check -.4167 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y = -5 strategic 2 BUG divide 12 In this equation, y is multiplied by -12. Dividing by 12 leaves -y, so you still need to remove the negative sign. It is better to divide by -12, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:57:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y = -5 strategic 3 OK divide -12 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:57:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -12y/-12 = -5/-12 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:58:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -5/-12 right 2 OK right .41666 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 4 ERROR answer-check 0.4167 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:59:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 5 OK add 10 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 09:59:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10)+10 = -5+(-2y)+10 left 2 OK left -4y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:00:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = -5+(-2y)+10 right 2 OK right 5+-2y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:00:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = 5+(-2y) strategic 1 OK add 2y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+2y = 5+(-2y)+2y left 1 OK left -2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:01:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = 5+(-2y) strategic 2 ERROR divide -2y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:01:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y/(-2y) = (5+(-2y))/(-2y) left 1 OK left 2y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = (5+(-2y))/(-2y) right 1 OK right 5 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = 5 strategic 1 OK divide 2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y/2 = 5/2 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 5/2 right 1 OK right 2.5 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 6 ERROR answer-check 2.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:02:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-10) = -5+(-2y) strategic 7 OK answer-check -2.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:03:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-1) = 9+8x strategic 1 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:03:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-1)+1 = 9+8x+1 left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 9+8x+1 right 1 OK right 10+8x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:04:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 10+8x strategic 1 OK subtract 8x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:08:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3+9x = -1x+(-5) strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:08:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3+9x-3 = -1x+(-5)-3 left 1 OK left 9x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:09:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -1x+(-5)-3 right 1 OK right -1x+-8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:09:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x = -1x+(-8) strategic 1 OK add 1x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:10:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 9x+x = -1x+(-8)+x left 1 OK left 10x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:10:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10x = -1x+(-8)+x right 1 OK right -8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:10:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10x = -8 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:10:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10x/10 = -8/10 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:11:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -8/10 right 1 OK right -0.8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:11:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3+9x = -1x+(-5) strategic 2 OK answer-check -0.8 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:12:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2+(-2x) = -6x+(-3) strategic 1 OK add 2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:12:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2+(-2x)+2 = -6x+(-3)+2 left 1 OK left -2x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:12:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -6x+(-3)+2 right 1 OK right -6x+-1 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:13:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x = -6x+(-1) strategic 1 OK add 6x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:13:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2x+6x = -6x+(-1)+6x left 1 OK left 4x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:13:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x = -6x+(-1)+6x right 1 OK right -1 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:13:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x = -1 strategic 1 OK divide 4 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:14:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4x/4 = -1/4 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:14:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -1/4 right 1 OK right -0.25 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:14:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2+(-2x) = -6x+(-3) strategic 2 OK answer-check -0.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:15:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+(-1) = -3+(-5y) strategic 1 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:15:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+(-1)+1 = -3+(-5y)+1 left 1 OK left 10y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:15:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -3+(-5y)+1 right 1 OK right -2+-5y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:16:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -2+(-5y) strategic 1 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:16:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+5y = -2+(-5y)+5y left 1 OK left 15y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:16:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y = -2+(-5y)+5y right 1 OK right -2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:16:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y = -2 strategic 1 OK divide 15 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15y/15 = -2/15 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:17:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -2/15 right 1 OK right -0.1333 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:17:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y+(-1) = -3+(-5y) strategic 2 OK answer-check -0.1333 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 0.9+(-3.88x) = 7.37x+(-8.57) strategic 1 OK subtract .9 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:19:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -3.88x = 7.37x-9.47 strategic 1 ERROR add 7.37 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:19:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -3.88x = 7.37x-9.47 strategic 2 OK subtract 7.37x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:19:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -11.25x = -9.47 strategic 1 BUG divide 11.25 In this equation, x is multiplied by -11.25. Dividing by 11.25 leaves -x, so you still need to remove the negative sign. It is better to divide by -11.25, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:20:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -11.25x = -9.47 strategic 2 OK divide -11.25 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:20:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 0.9+(-3.88x) = 7.37x+(-8.57) strategic 2 OK answer-check .8418 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:21:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 9.87+(-3.1y) = 8.34y+(-5.42) strategic 1 OK subtract 9.87 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:21:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -3.1y = 8.34y-15.29 strategic 1 OK subtract 8.34y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:22:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -11.44y = -15.29 strategic 1 OK divide -11.44 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:22:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 9.87+(-3.1y) = 8.34y+(-5.42) strategic 2 OK answer-check 1.3365 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:23:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 0.44+(-7.73x) = -3.04x+9.84 strategic 1 OK subtract .44 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:23:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -7.73x = -3.04x+9.4 strategic 1 OK add 3.04x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:23:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.69x = 9.4 strategic 1 OK divide -4.69 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:24:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 0.44+(-7.73x) = -3.04x+9.84 strategic 2 OK answer-check -2.0043 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:24:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.87y+9.59 = 2.02+4.3y strategic 1 OK subtract 9.59 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.87y = -7.57+4.3y strategic 1 OK subtract 4.3y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:25:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -6.17y = -7.57 strategic 1 OK divide -6.17 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:25:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.87y+9.59 = 2.02+4.3y strategic 2 OK answer-check 1.2269 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:26:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.8+(-0.28x) = -9.55+3.04x strategic 1 OK subtract 2.8 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:26:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.8+(-0.28x)-2.8 = -9.55+3.04x-2.8 left 1 OK left -0.28x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:27:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.28x = -9.55+3.04x-2.8 right 1 OK right -12.35+3.04x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:27:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.28x = -12.35+3.04x strategic 1 OK subtract 3.04x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:27:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.28x-3.04x = -12.35+3.04x-3.04x left 1 OK left -3.32x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:29:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32x = -12.35+3.04x-3.04x right 1 OK right -12.35 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:29:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32x = -12.35 strategic 1 OK divide -3.32 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:29:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32x/-3.32 = -12.35/-3.32 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:30:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -12.35/-3.32 right 1 OK right 3.7198 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:30:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.8+(-0.28x) = -9.55+3.04x strategic 2 OK answer-check 3.7199 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:31:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y+6.43 = 0.03y+(-4.78) strategic 1 OK subtract 6.43 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:31:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y+6.43-6.43 = 0.03y+(-4.78)-6.43 left 1 OK left -2.82y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:32:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y = 0.03y+(-4.78)-6.43 right 1 OK right .03y+-11.21 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:33:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y = 0.03y+(-11.21) strategic 1 OK subtract 0.03y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:34:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y-0.03y = 0.03y+(-11.21)-0.03y left 1 OK left -2.82y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:34:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y = 0.03y+(-11.21)-0.03y right 1 OK right -11.21 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:34:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y = -11.21 strategic 1 OK divide -2.82 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:34:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y/-2.82 = -11.21/-2.82 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:35:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -11.21/-2.82 right 1 OK right 3.97517 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:35:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y+6.43 = 0.03y+(-4.78) strategic 2 ERROR answer-check 3.9752 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:37:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y = 0.03y+(-11.21) strategic 2 OK subtract .03y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:38:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y-0.03y = 0.03y+(-11.21)-0.03y left 2 OK left -2.85y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:38:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.85y = 0.03y+(-11.21)-0.03y right 1 OK right -11.21 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:38:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.85y = -11.21 strategic 1 OK divide -2.85 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.85y/-2.85 = -11.21/-2.85 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:39:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -11.21/-2.85 right 1 OK right 3.9333 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:39:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.82y+6.43 = 0.03y+(-4.78) strategic 3 OK answer-check 3.9333 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:39:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.4+(-6.16y) = -9.54+7.54y strategic 1 OK subtract 6.4 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:40:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.4+(-6.16y)-6.4 = -9.54+7.54y-6.4 left 1 OK left -6.16y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:40:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.16y = -9.54+7.54y-6.4 right 1 OK right -15.94+7.54y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:41:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.16y = -15.94+7.54y strategic 1 OK subtract 7.54y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:41:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.16y-7.54y = -15.94+7.54y-7.54y left 1 OK left -13.7y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:42:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.7y = -15.94+7.54y-7.54y right 1 OK right -15.95 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:42:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.7y = -15.95 strategic 1 OK divide -13.7 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:42:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -13.7y/-13.7 = -15.95/-13.7 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:43:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -15.95/-13.7 right 1 OK right 1.1642 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:43:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.4+(-6.16y) = -9.54+7.54y strategic 2 OK answer-check 1.1642 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:43:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.85+8.9x = -3.19x+(-5.38) strategic 1 OK subtract 1.85 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:44:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.85+8.9x-1.85 = -3.19x+(-5.38)-1.85 left 1 OK left 8.9x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:45:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.9x = -3.19x+(-5.38)-1.85 right 1 OK right -3.19x+-7.23 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:45:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.9x = -3.19x+(-7.23) strategic 1 OK add 3.19x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:45:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.9x+3.19x = -3.19x+(-7.23)+3.19x left 1 OK left 12.09x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:45:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.09x = -3.19x+(-7.23)+3.19x right 1 OK right -7.23 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:46:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.09x = -7.23 strategic 1 OK divide 12.09 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:46:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.09x/12.09 = -7.23/12.09 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:46:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -7.23/12.09 right 1 OK right -.5980 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:46:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.85+8.9x = -3.19x+(-5.38) strategic 2 OK answer-check -.5980 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:47:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62A 87.79+976.68y = 838.5y+1260.56 strategic 1 OK answer-check 8.4873 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:48:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -1623.02+(-615.41y) = -2080.34+(-961.42y) strategic 1 OK add 1623.02 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:49:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -615.41y = -457.32-961.42y strategic 1 ERROR add 961.42 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:50:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -615.41y = -457.32-961.42y strategic 2 OK add 961.42y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:50:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 346.01y = -457.32 strategic 1 OK divide 346.01 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:50:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -1623.02+(-615.41y) = -2080.34+(-961.42y) strategic 2 OK answer-check -1.3217 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:50:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -72.2+(-30.06y) = 63.82y+7.43 strategic 1 OK add 72.2 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:51:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -30.06y = 63.82y+79.63 strategic 1 OK subtract 63.82y condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:51:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -93.88y = 79.63 strategic 1 OK divide -93.88 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:51:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -72.2+(-30.06y) = 63.82y+7.43 strategic 2 OK answer-check -.8482 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:52:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -3873.55+848.11x = -3474.14+349.48x strategic 1 OK add 3873.55 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:52:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 848.11x = 399.41+349.48x strategic 1 OK subtract 349.48x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:52:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 498.63x = 399.41 strategic 1 OK divide 498.63 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:53:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -3873.55+848.11x = -3474.14+349.48x strategic 2 OK answer-check .8010 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:53:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -3332.54+(-265.46x) = -6624+786.03x strategic 1 ERROR add 332.54 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:55:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -3332.54+(-265.46x) = -6624+786.03x strategic 2 OK add 3332.54 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:55:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -3332.54+(-265.46x)+3332.54 = -6624+786.03x+3332.54 left 1 OK left -265.46x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:56:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -265.46x = -6624+786.03x+3332.54 right 1 OK right -3291.46 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:56:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -265.46x = -3291.46 strategic 1 OK divide -265.46 condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -265.46x/-265.46 = -3291.46/-265.46 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I dIUTKe8 session1 2007-04-24 10:57:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A x = -3291.46/-265.46 right 1 OK right 12.39 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:44:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:45:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 7.77+(-12.57y) = -11.11 strategic 1 OK answer-check 1.502 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:46:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -36x+(-96) = -87 strategic 1 OK answer-check -1/4 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:46:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -32.53x+(-29.18) = 32.14 strategic 1 ERROR answer-check 0.2339 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:47:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -32.53x+(-29.18) = 32.14 strategic 2 ERROR answer-check 0.2339 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:47:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -32.53x+(-29.18) = 32.14 strategic 3 OK add 29.18 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:47:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -32.53x = 61.32 strategic 1 OK divide -32.53 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:48:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -32.53x+(-29.18) = 32.14 strategic 4 OK answer-check -1.8850 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:48:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 4245 = 7883y+(-7053) strategic 1 OK subtract -7053 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 11298 = 7883y strategic 1 OK divide 7883 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:49:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 11298/7883 = y strategic 1 BUG rf 11298/7883 = y strategic You already solved the equation. y is 11298/7883. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:49:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 4245 = 7883y+(-7053) strategic 2 OK answer-check 11298/7883 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 86y+(-4) = -74 strategic 1 OK subtract -4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:50:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 86y = -70 strategic 1 OK divide 86 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 86y+(-4) = -74 strategic 2 OK answer-check -35/43 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:50:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 3.06+(-1.69x) = 5.58 strategic 1 ERROR subtract -1.69 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:50:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 4.75-1.69x = 7.27 strategic 1 OK subtract 4.75 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:50:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -1.69x = 2.52 strategic 1 OK divide -1.69 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:51:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 3.06+(-1.69x) = 5.58 strategic 2 OK answer-check -1.4911 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.22 = -9.82+2.89x strategic 1 OK add 9.82 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:51:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.22+9.82 = -9.82+2.89x+9.82 right 1 OK right 2.89x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.22+9.82 = 2.89x left 1 OK left 0.6 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.6 = 2.89x strategic 1 OK divide 2.89 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:52:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.6/2.89 = 2.89x/2.89 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:53:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.6/2.89 = x left 1 OK left .2076 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:53:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.22 = -9.82+2.89x strategic 2 OK answer-check .2076 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -55 = 90+89x strategic 1 OK subtract 90 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:54:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -55-90 = 90+89x-90 right 1 OK right 89x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -55-90 = 89x left 1 OK left -145 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:54:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -145 = 89x strategic 1 OK divide 89 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -145/89 = 89x/89 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:54:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -145/89 = x left 1 OK left -1.6292 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:55:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -55 = 90+89x strategic 2 OK answer-check -1.6292 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:55:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x+9750 = 1998 strategic 1 OK subtract 9750 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x+9750-9750 = 1998-9750 left 1 OK left -1692x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x = 1998-9750 right 1 OK right -7752 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:56:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x = -7752 strategic 1 OK divide -1692 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x/-1692 = -7752/-1692 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:56:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -7752/-1692 right 1 OK right 4.58 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:56:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1692x+9750 = 1998 strategic 2 OK answer-check 4.58 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:57:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -15 = 46+(-14/x) strategic 1 OK subtract 46 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:57:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -61 = -14/x strategic 1 ERROR multiply 14 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:58:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -61 = -14/x strategic 2 BUG multiply -14 To remove -14/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -14/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:58:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 854 = 196/x strategic 1 BUG multiply 196 To remove 196/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 196/x. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -61 = -14/x strategic 3 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:58:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -61x = -14 strategic 1 OK divide -61 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -15 = 46+(-14/x) strategic 2 OK answer-check 14/61 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 77 = 21+24/x strategic 1 OK subtract 21 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 56 = 24/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 56x = 24 strategic 1 OK divide 56 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 77 = 21+24/x strategic 2 OK answer-check 3/7 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 303 = 390+(-376/y) strategic 1 OK subtract 390 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -87 = -376/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 09:59:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -87y = -376 strategic 1 OK divide -87 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:00:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 303 = 390+(-376/y) strategic 2 OK answer-check 376/87 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:00:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -708+223/x = -296 strategic 1 OK add 708 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:00:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 223/x = 412 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:00:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 223 = 412x strategic 1 OK divide 412 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:00:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -708+223/x = -296 strategic 2 OK answer-check 223/412 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:01:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 1 OK subtract -439 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:01:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525-(-439) = -105/y+(-439)-(-439) right 1 OK right -105/y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:01:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525-(-439) = -105/y left 1 OK left 964 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:01:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964 = -105/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:01:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105/y*y left 1 OK left 964y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:02:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105/y*y right 1 OK right -105 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105 strategic 1 OK divide 964 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:02:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y/964 = -105/964 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -105/964 right 1 OK right -018921 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:03:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 2 ERROR answer-check -18921 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:03:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 3 ERROR answer-check -108921 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:03:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 4 OK subtract -439 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:04:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 5 OK add 439 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:04:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525+439 = -105/y+(-439)+439 right 1 OK right -105/y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:04:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525+439 = -105/y left 1 OK left 964 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:04:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964 = -105/y strategic 2 ERROR multiply -y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:04:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964*(-y) = -105/y*(-y) right 1 OK right -105 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:05:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964*(-y) = -105 left 1 OK left 964(-y) condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:05:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964*(-y) = -105 strategic 1 OK divide 964 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:05:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964*(-y)/964 = -105/964 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:05:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964 = -105/y strategic 3 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:06:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105/y*y left 2 OK left 964y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105/y*y right 2 OK right -105 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:06:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y = -105 strategic 2 OK divide 964 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:06:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 964y/964 = -105/964 left 2 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:06:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = -105/964 right 2 OK right -0.10892 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 525 = -105/y+(-439) strategic 6 OK answer-check -0.1089 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 61 = 57/y+70 strategic 1 OK subtract 70 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 61-70 = 57/y+70-70 right 1 OK right 57/y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 61-70 = 57/y left 1 OK left -9 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9 = 57/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9y = 57/y*y left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:07:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9y = 57/y*y right 1 OK right 57 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9y = 57 strategic 1 OK divide -9 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -9y/-9 = 57/-9 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 57/-9 right 1 OK right -6.333333 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 61 = 57/y+70 strategic 2 OK answer-check -6.3333 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75+16/x = 25 strategic 1 OK add 75 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:08:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75+16/x+75 = 25+75 left 1 OK left 16/x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16/x = 25+75 right 1 OK right 100 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16/x = 100 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16/x*x = 100x left 1 OK left 16 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16 = 100x right 1 OK right 100x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16 = 100x strategic 1 OK divide 100 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 16/100 = 100x/100 left 1 OK left .16 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.16 = 100x/100 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:09:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -75+16/x = 25 strategic 2 OK answer-check .16 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:10:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+(-7/y) = -97 strategic 1 OK add 79 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:10:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+(-7/y)+79 = -97+79 left 1 OK left -7/y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:10:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7/y = -97+79 right 1 OK right -18 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7/y = -18 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7/y*y = -18y left 1 OK left -7 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7 = -18y right 1 OK right -18y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7 = -18y strategic 1 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7 = -18y strategic 2 OK divide -18 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -7/-18 = -18y/-18 left 1 OK left 0.38888 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:11:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.38888889 = -18y/-18 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:12:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+(-7/y) = -97 strategic 2 OK answer-check .3889 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:12:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -6+(-3y) = 3y+8 strategic 1 OK add 6 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:13:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -3y = 3y+14 strategic 1 BUG divide -3 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:13:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -6+(-3y) = 3y+8 strategic 2 OK answer-check -7/3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:14:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 1 ERROR answer-check -25/3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:14:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 2 ERROR clt -2y+(-4) = 9y+7 strategic condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 3 BUG add -4 To remove -4 from the left side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:15:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y-8 = 9y+3 strategic 1 BUG add -8 To remove -8 from the left side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:15:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y-16 = 9y-5 strategic 1 OK add 16 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:15:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y = 9y+11 strategic 1 ERROR subtract -11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+11 = 9y+22 strategic 1 OK subtract 11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:16:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y = 9y+11 strategic 2 ERROR subtract 11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:16:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y-11 = 9y strategic 1 BUG divide 9 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:16:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 4 ERROR answer-check -2y-11/9 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:17:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 5 BUG add -4 To remove -4 from the left side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:17:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 6 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y = 9y+11 strategic 3 ERROR subtract -9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7y = 18y+11 strategic 1 ERROR subtract 11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:20:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7y = 18y+11 strategic 2 OK subtract 18y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:20:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -11y = 11 strategic 1 OK divide -11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:20:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -2y+(-4) = 9y+7 strategic 7 OK answer-check -1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:20:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-9x) = 3x+(-1) strategic 1 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8-9x = 3x strategic 1 OK add 9x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8 = 12x strategic 1 OK divide 12 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9+(-9x) = 3x+(-1) strategic 2 OK answer-check -2/3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+9y = 1y+(-1) strategic 1 OK add 1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8+9y = y strategic 1 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8 = -8y strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:21:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7+9y = 1y+(-1) strategic 2 OK answer-check -1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:22:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y+4 = 8y+(-4) strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:22:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y+8 = 8y strategic 1 OK add 9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:22:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8 = 17y strategic 1 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:22:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 8 = 17y strategic 2 OK divide 17 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y+4 = 8y+(-4) strategic 2 OK answer-check 8/17 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y+4 = 9y+(-4)+4 left 1 OK left -1+8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+8y = 9y+(-4)+4 right 1 OK right 9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+8y = 9y strategic 1 ERROR subtract -8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+8y-(-8y) = 9y-(-8y) left 1 OK left -1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:23:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = 9y-(-8y) right 1 OK right 17y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = 17y strategic 1 OK divide 17 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/17 = 17y/17 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/17 = y left 1 OK left -1/17 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 2 ERROR answer-check -1/17 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1 = 17y strategic 2 OK divide 17 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:24:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/17 = 17y/17 right 2 OK right y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:25:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1/17 = y left 2 OK left -0.058823529 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:25:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 3 ERROR answer-check -0.0588 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 4 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y+4 = 9y+(-4)+4 right 1 OK right 9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y+4 = 9y left 1 OK left -5+8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y strategic 1 OK subtract 8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y-8y = 9y-8y right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y-8y = y left 1 OK left -5 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:30:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 5 ERROR answer-check -5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 6 OK add 5 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:31:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y+5 = 9y+(-4)+5 left 1 OK left 8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:31:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y = 9y+(-4)+5 right 1 OK right 9y+1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:31:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y = 9y+1 strategic 1 OK subtract 9y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y-9y = 9y+1-9y right 1 OK right 1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8y-9y = 1 left 1 OK left -y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -y = 1 strategic 1 OK divide -1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -y/-1 = 1/-1 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 1/-1 right 1 OK right -1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:32:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+8y = 9y+(-4) strategic 7 OK answer-check -1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:38:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6) = -4x+9 strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:38:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6)-9 = -4x+9-9 left 1 OK left 8x+15 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:38:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+15 = -4x+9-9 right 1 OK right -4x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+15 = -4x strategic 1 OK subtract 8x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+15-8x = -4x-8x left 1 OK left 15 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = -4x-8x right 1 OK right -12x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15 = -12x strategic 1 OK divide -12 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15/-12 = -12x/-12 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:39:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 15/-12 = x left 1 OK left -1.25 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:40:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6) = -4x+9 strategic 2 ERROR answer-check -1.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:40:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6) = -4x+9 strategic 3 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6) = -4x+9 strategic 4 OK add 6 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6)+6 = -4x+9+6 left 1 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -4x+9+6 right 1 OK right -4x+15 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = -4x+15 strategic 1 OK add 4x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+4x = -4x+15+4x left 1 OK left 12x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 12x = -4x+15+4x right 1 OK right 15 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:41:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 12x = 15 strategic 1 OK divide 12 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:42:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 12x/12 = 15/12 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:42:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 15/12 right 1 OK right 1.25 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:42:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x+(-6) = -4x+9 strategic 5 OK answer-check 1.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x+(-3) = 8+4x strategic 1 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x+(-3)+3 = 8+4x+3 left 1 OK left -6x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x = 8+4x+3 right 1 OK right 11+4x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x = 11+4x strategic 1 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x-4x = 11+4x-4x right 1 OK right 11 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x-4x = 11 left 1 OK left -10x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10x = 11 strategic 1 OK divide -10 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10x/-10 = 11/-10 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 11/-10 right 1 OK right -1.1 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:43:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6x+(-3) = 8+4x strategic 2 OK answer-check -1.1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-9) = -3y+4 strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-9)+9 = -3y+4+9 left 1 OK left -6y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = -3y+4+9 right 1 OK right -3y+13 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = -3y+13 strategic 1 OK add 3y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+3y = -3y+13+3y left 1 OK left -3y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = -3y+13+3y right 1 OK right 13 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:44:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 13 strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 13/-3 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 13/-3 right 1 OK right -4.333333 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y+(-9) = -3y+4 strategic 2 OK answer-check -4.3333 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-4) = 6+4y strategic 1 OK add 4 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-4)+4 = 6+4y+4 left 1 OK left -4y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = 6+4y+4 right 1 OK right 10+4y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:45:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = 10+4y strategic 1 OK subtract 4y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y-4y = 10+4y-4y right 1 OK right 10 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y-4y = 10 left 1 OK left -8y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y = 10 strategic 1 OK divide -8 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -8y/-8 = 10/-8 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 10/-8 right 1 OK right -1.25 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+(-4) = 6+4y strategic 2 OK answer-check -1.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:46:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 6.39y+1.02 = -9.06y+2.91 strategic 1 OK answer-check .1223 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:47:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -2.03+8.13x = 7.47+(-0.18x) strategic 1 OK add 2.03 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:47:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.13x = 9.5-0.18x strategic 1 ERROR subtract .18x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.95x = 9.5-0.36x strategic 1 ERROR clt 7.95x = 9.5-0.36x strategic condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:48:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -2.03+8.13x = 7.47+(-0.18x) strategic 2 BUG subtract 2.03 Since -2.03 is negative, you should add to remove it from the both side. Erase your last step and add 2.03 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:48:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.06+8.13x = 5.44-0.18x strategic 1 OK subtract 5.44 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:49:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.5+8.13x = -0.18x strategic 1 ERROR subtract 8.13 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:49:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.5+8.13x = -0.18x strategic 2 OK subtract 8.13x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:49:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.5 = -8.31x strategic 1 OK divide -8.31 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:49:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -2.03+8.13x = 7.47+(-0.18x) strategic 3 OK answer-check 1.1432 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:49:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.92+3x = -3.09+4.17x strategic 1 OK subtract 8.92 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:50:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3x = -12.01+4.17x strategic 1 OK subtract 4.17x condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:50:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.17x = -12.01 strategic 1 OK divide -1.17 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:50:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 8.92+3x = -3.09+4.17x strategic 2 OK answer-check 10.2650 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:50:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.15y+3.6 = 6.22+(-2.91y) strategic 1 OK subtract 3.6 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:50:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.15y = 2.62-2.91y strategic 1 ERROR add 2.91 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:51:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.15y = 2.62-2.91y strategic 2 OK add 2.91y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:51:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 5.06y = 2.62 strategic 1 OK divide 5.06 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:51:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.15y+3.6 = 6.22+(-2.91y) strategic 2 OK answer-check .5178 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44+(-3.38y) = 8.14y+9.66 strategic 1 OK subtract 7.44 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:51:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44+(-3.38y)-7.44 = 8.14y+9.66-7.44 left 1 OK left -3.38y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:52:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y = 8.14y+9.66-7.44 right 1 OK right 8.14y+2.22 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:52:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y = 8.14y+2.22 strategic 1 OK subtract 8.14y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:52:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y-8.14y = 8.14y+2.22-8.14y right 1 OK right 2.22 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y-8.14y = 2.22 left 1 OK left -11.52 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:53:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y = 8.14y+2.22 strategic 2 ERROR divide -11.52y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y = 8.14y+2.22 strategic 3 OK subtract 8.14y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y-8.14y = 8.14y+2.22-8.14y right 2 OK right 2.22 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.38y-8.14y = 2.22 left 2 OK left -11.52y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:54:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -11.52y = 2.22 strategic 1 OK divide -11.52 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -11.52y/-11.52 = 2.22/-11.52 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:54:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 2.22/-11.52 right 1 OK right -0.192708 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:54:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44+(-3.38y) = 8.14y+9.66 strategic 2 OK answer-check -0.1927 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:54:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y+(-4.25) = 5.1+0.49y strategic 1 OK add 4.25 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:55:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y+(-4.25)+4.25 = 5.1+0.49y+4.25 left 1 OK left 1.83y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:55:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y = 5.1+0.49y+4.25 right 1 OK right 9.26 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:55:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y+(-4.25) = 5.1+0.49y strategic 2 OK add 4.25 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:55:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y+(-4.25)+4.25 = 5.1+0.49y+4.25 left 2 OK left 1.83y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:56:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y = 5.1+0.49y+4.25 right 2 OK right 9.26+.49y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y = 9.26+0.49y strategic 1 OK subtract .49y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:56:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y-0.49y = 9.26+0.49y-0.49y right 1 OK right 9.26 condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:56:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.83y-0.49y = 9.26 left 1 OK left 1.34y condition 3 cwctc 247w34xrp1--3--Alg I etcr9s4 session0 2007-04-19 10:57:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.34y = 9.26 strategic 1 OK divide 1.34 condition 3 cwctc 247w34xrp1--3--Alg I fm20MG1 session0 2007-04-16 13:25:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:25:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:25:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:25:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:26:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 2,029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:26:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 76.01x+53.89 = 74.13 strategic 1 OK subtract 53.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:26:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 76.01x = 20.24 strategic 1 OK divide 76.01 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:26:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 76.01x+53.89 = 74.13 strategic 2 OK answer-check 0.2663 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:27:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 2890+(-8727y) = 2317 strategic 1 OK subtract 2890 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:27:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8727y = -573 strategic 1 OK divide -8727 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:27:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 2890+(-8727y) = 2317 strategic 2 OK answer-check 191/2909 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:28:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.1x+11.72 = -5.92 strategic 1 OK subtract 11.72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:28:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.1x = -17.64 strategic 1 OK divide 1.1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:28:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1.1x+11.72 = -5.92 strategic 2 OK answer-check -16.0364 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:28:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -346 = 5444y+(-20) strategic 1 OK add 20 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:29:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -326 = 5444y strategic 1 OK divide 5444 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:29:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -346 = 5444y+(-20) strategic 2 OK answer-check -163/2722 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:29:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -34y+50 = -21 strategic 1 OK subtract 50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:29:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -34y = -71 strategic 1 OK divide -34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:29:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -34y+50 = -21 strategic 2 OK answer-check 71/34 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:30:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 7+72x = 80 strategic 1 OK subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:30:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 7+72x-7 = 80-7 left 1 OK left 72x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:30:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 72x = 80-7 right 1 OK right 73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:30:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 72x = 73 strategic 1 OK divide 72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:30:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 72x/72 = 73/72 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:31:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 73/72 right 1 OK right 1.01 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:31:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 7+72x = 80 strategic 2 OK answer-check 1.0139 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:31:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 1 OK add 11.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:32:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07+11.61 = -6.02x+(-11.61)+11.61 left 1 OK left 21.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:32:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x+(-11.61)+11.61 right 1 OK right -6.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:32:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x strategic 1 OK divide -6.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:33:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68/-6.02 = -6.02x/-6.02 left 1 OK left 27.7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:33:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 27.7 = -6.02x/-6.02 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:33:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 2 ERROR answer-check 27.7 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:35:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 3 ERROR answer-check -27.7 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:37:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 4 OK add 11.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:37:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07+11.61 = -6.02x+(-11.61)+11.61 left 2 OK left 21.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:38:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x+(-11.61)+11.61 right 2 OK right -6.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:38:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 5 OK add 11.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:38:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07+11.61 = -6.02x+(-11.61)+11.61 left 3 OK left 21.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session0 2007-04-16 13:38:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x+(-11.61)+11.61 right 3 OK right --6.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:50:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -(-6.02)*x strategic 1 BUG add -60.02 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:50:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68+(-60.02) = -(-6.02)*x+(-60.02) left 1 OK left 21.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:50:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -(-6.02)*x+(-60.02) right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:52:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 1 BUG add -11.61 To remove -11.61 from the right side, you can add a positive to it. Erase your last step and add 11.61 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07+(-11.61) = -6.02x+(-11.61)+(-11.61) left 1 OK left -1.54 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:53:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.54 = -6.02x+(-11.61)+(-11.61) right 1 OK right -6.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.54 = -6.02x strategic 1 OK divide -6.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -1.54/-6.02 = -6.02x/-6.02 left 1 OK left 0.2558139 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.25581395 = -6.02x/-6.02 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 2 ERROR answer-check .2558 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:55:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 3 OK add 11.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:56:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07+11.61 = -6.02x+(-11.61)+11.61 left 1 OK left 21.68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:56:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x+(-11.61)+11.61 right 1 OK right -6.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:56:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68 = -6.02x strategic 1 OK divide -6.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:57:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 21.68/-6.02 = -6.02x/-6.02 left 1 OK left -3.601 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:57:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.6013289 = -6.02x/-6.02 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:58:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 10.07 = -6.02x+(-11.61) strategic 4 OK answer-check -3.6013 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -7.03+(-9.48y) = 0.56 strategic 1 OK add 7.03 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:58:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -7.03+(-9.48y)+7.03 = 0.56+7.03 left 1 OK left -9.48y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:59:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.48y = 0.56+7.03 right 1 OK right 7.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:59:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.48y = 7.59 strategic 1 OK divide -9.48 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -9.48y/-9.48 = 7.59/-9.48 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:00:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = 7.59/-9.48 right 1 OK right -.80063 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:00:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -7.03+(-9.48y) = 0.56 strategic 2 OK answer-check -0.8006 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x) = -8248 strategic 1 OK add 3552 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:01:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x)+3552 = -8248+3552 left 1 OK left -4960 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:01:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x) = -8248 strategic 2 OK add 3552 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:02:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x)+3552 = -8248+3552 left 2 OK left -4960x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:03:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x = -8248+3552 right 1 OK right -4696 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:03:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x = -4696 strategic 1 OK divide -4960 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x/-4960 = -4696/-4960 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:04:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -4696/-4960 right 1 OK right -.9467741 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x) = -8248 strategic 3 ERROR answer-check -0.9468 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:07:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x) = -8248 strategic 4 OK add 3552 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:07:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x)+3552 = -8248+3552 left 3 OK left -4960x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:07:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x = -8248+3552 right 2 OK right -4696 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x = -4696 strategic 2 OK divide -4960 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:08:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4960x/-4960 = -4696/-4960 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:08:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = -4696/-4960 right 2 OK right 0.9468 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:08:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -3552+(-4960x) = -8248 strategic 5 OK answer-check 0.9468 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:09:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12 = 2+65x strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:09:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12-2 = 2+65x-2 left 1 OK left -14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -14 = 2+65x-2 right 1 OK right 65x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:10:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -14 = 65x strategic 1 OK divide 65 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:10:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -14/65 = 65x/65 left 1 OK left -.215384 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:10:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -0.21538462 = 65x/65 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:10:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -12 = 2+65x strategic 2 OK answer-check -.2154 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.61+7.25x = 5.21 strategic 1 OK add 8.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:11:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.61+7.25x+8.61 = 5.21+8.61 left 1 OK left 7.25x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:11:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.25x = 5.21+8.61 right 1 OK right 13.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:11:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.25x = 13.82 strategic 1 OK divide 7.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:11:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 7.25x/7.25 = 13.82/7.25 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:12:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 13.82/7.25 right 1 OK right 1.9062 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -8.61+7.25x = 5.21 strategic 2 OK answer-check 1.9062 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:13:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -90 = 56+83/y strategic 1 OK subtract 56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:13:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -146 = 83/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:13:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -146y = 83 strategic 1 OK divide -146 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:14:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -90 = 56+83/y strategic 2 OK answer-check -83/146 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -99/y+15 = -14 strategic 1 OK subtract 15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:14:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -99/y = -29 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:14:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -99 = -29y strategic 1 OK divide -29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:15:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -99/y+15 = -14 strategic 2 OK answer-check 99/29 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:15:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 619+(-135/x) = -334 strategic 1 OK subtract 619 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:15:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -135/x = -953 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:15:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -135 = -953x strategic 1 OK divide -953 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:16:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 619+(-135/x) = -334 strategic 2 OK answer-check 135/953 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:16:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -784 = 753+279/y strategic 1 OK subtract 753 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:16:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1537 = 279/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:17:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1537y = 279 strategic 1 OK divide -1537 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:17:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -784 = 753+279/y strategic 2 OK answer-check -279/1537 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 57 = 70/x+(-26) strategic 1 OK add 26 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 57+26 = 70/x+(-26)+26 left 1 OK left 83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83 = 70/x+(-26)+26 right 1 OK right 70/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83 = 70/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83x = 70/x*x left 1 OK left 83x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83x = 70/x*x right 1 OK right 70 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:18:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83x = 70 strategic 1 OK divide 83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:19:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 83x/83 = 70/83 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:19:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = 70/83 right 1 OK right .8433 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:19:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 57 = 70/x+(-26) strategic 2 OK answer-check 0.8434 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y+(-700) = 704 strategic 1 OK add 700 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y+(-700)+700 = 704+700 left 1 OK left 741/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y = 704+700 right 1 OK right 1404 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y = 1404 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y*y = 1404y left 1 OK left 741 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:20:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741 = 1404y right 1 OK right 1404y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741 = 1404y strategic 1 OK divide 1404 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:21:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/1404 = 1404y/1404 left 1 OK left .5277 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 0.52777778 = 1404y/1404 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:21:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 741/y+(-700) = 704 strategic 2 OK answer-check .5278 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:22:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594 = -598 strategic 1 OK subtract 594 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:22:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594-594 = -598-594 left 1 OK left -21/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:22:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x = -598-594 right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x = 4 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x*x = 4x left 1 OK left -21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21 = 4x right 1 OK right 4x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21 = 4x strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/4 = 4x/4 left 1 OK left -5.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -5.25 = 4x/4 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:23:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594 = -598 strategic 2 ERROR answer-check -5.25 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:24:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594 = -598 strategic 3 ERROR answer-check 5.25 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:24:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594 = -598 strategic 4 OK subtract 594 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:24:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594-594 = -598-594 left 2 OK left -21/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:25:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x = -598-594 right 2 OK right -1192 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x = -1192 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:26:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x*x = -1192x left 1 OK left -21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:26:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21 = -1192x right 1 OK right -1192x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:26:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21 = -1192x strategic 1 OK divide -1192 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:27:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/-1192 = -1192x/-1192 left 1 OK left 0.017617 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:27:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 0.01761745 = -1192x/-1192 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:27:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -21/x+594 = -598 strategic 5 OK answer-check 0.0176 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:28:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724 = 624/x+736 strategic 1 OK subtract 736 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:29:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724-736 = 624/x+736-736 left 1 OK left -1460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:29:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460 = 624/x+736-736 right 1 OK right 624/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:30:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460 = 624/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:30:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624/x*x left 1 OK left -1460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:30:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460 = 624/x strategic 2 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:30:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624/x*x left 2 OK left -460x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:30:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -460x = 624/x*x right 1 OK right 624 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:31:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -460x = 624 strategic 1 OK divide -460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:31:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -460x/-460 = 624/-460 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:32:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 624/-460 right 1 OK right -1.3565 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session1 2007-04-20 13:32:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724 = 624/x+736 strategic 2 ERROR answer-check -1.3565 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:50:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724 = 624/x+736 strategic 1 OK subtract 736 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:50:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724-736 = 624/x+736-736 left 1 OK left -1460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460 = 624/x+736-736 right 1 OK right 624/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460 = 624/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624/x*x left 1 OK left -1460x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624/x*x right 1 OK right 624 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624 strategic 1 ERROR divide -460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:51:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x = 624 strategic 2 OK divide -1460 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:52:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1460x/-1460 = 624/-1460 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:52:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 624/-1460 right 1 OK right -.427397 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:53:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -724 = 624/x+736 strategic 2 OK answer-check -0.4274 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:53:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16) = 52 strategic 1 BUG add -16 To remove -16 from the left side, you can add a positive to it. Erase your last step and add 16 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16)+(-16) = 52+(-16) left 1 OK left 66/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:54:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x = 52+(-16) right 1 OK right 36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:54:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x = 36 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x*x = 36x left 1 OK left 66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66 = 36x right 1 OK right 36x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66 = 36x strategic 1 OK divide 36 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/36 = 36x/36 left 1 OK left 1.83333 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 1.83333333 = 36x/36 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:55:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16) = 52 strategic 2 ERROR answer-check 1.83333 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16) = 52 strategic 3 OK subtract -16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:56:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16) = 52 strategic 4 OK add 16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:56:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16)+16 = 52+16 left 1 OK left 66/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x = 52+16 right 1 OK right 68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x = 68 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x*x = 68x left 1 OK left 66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66 = 68x right 1 OK right 68x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66 = 68x strategic 1 OK divide 68 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/68 = 68x/68 left 1 OK left .970588 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:57:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 0.97058824 = 68x/68 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 66/x+(-16) = 52 strategic 5 OK answer-check .9706 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x+19 = 52 strategic 1 OK subtract 19 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x+19-19 = 52-19 left 1 OK left -45/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x = 52-19 right 1 OK right 33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x = 33 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x*x = 33x left 1 OK left -45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = 33x right 1 OK right 33x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:58:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = 33x strategic 1 OK divide 33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/33 = 33x/33 left 1 OK left -1.3636363 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:59:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -1.36363636 = 33x/33 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:59:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45/x+19 = 52 strategic 2 OK answer-check -1.363636 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 12:59:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -98 = 71+84/x strategic 1 OK subtract 71 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -98-71 = 71+84/x-71 left 1 OK left -169 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169 = 71+84/x-71 right 1 OK right 84/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169 = 84/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169x = 84/x*x left 1 OK left -169x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169x = 84/x*x right 1 OK right 84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:00:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169x = 84 strategic 1 OK divide -169 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:01:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -169x/-169 = 84/-169 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = 84/-169 right 1 OK right -.497041 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:01:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -98 = 71+84/x strategic 2 OK answer-check -0.4970 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:02:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y+(-391) = -969 strategic 1 OK add 391 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:02:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y+(-391)+391 = -969+391 left 1 OK left -815/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:02:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y = -969+391 right 1 OK right -578 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:02:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y = -578 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:03:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y*y = -578y left 1 OK left -815 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:03:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815 = -578y right 1 OK right -578y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:03:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815 = -578y strategic 1 OK divide -578 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:04:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/-578 = -578y/-578 left 1 OK left 1.4100 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:04:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1.4100346 = -578y/-578 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:04:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -815/y+(-391) = -969 strategic 2 OK answer-check 1.4100 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:04:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+(-9x) = -4+(-9x) strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:05:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9x = -6-9x strategic 1 OK add 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:06:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 2+(-9x) = -4+(-9x) strategic 2 ERROR answer-check -6 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:06:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -9x = -6-9x strategic 2 OK add 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:11:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+(-7) = -8x+7 strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:11:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -8x+14 strategic 1 OK add 8x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12x = 14 strategic 1 OK divide 12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:12:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+(-7) = -8x+7 strategic 2 OK answer-check 7/6 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:12:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6x+9 = 1+7x strategic 1 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:13:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6x+8 = 7x strategic 1 ERROR subtract 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:13:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6x = 7x-8 strategic 1 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:13:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -13x = -8 strategic 1 OK divide -13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:13:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6x+9 = 1+7x strategic 2 OK answer-check 8/13 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:14:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y+(-2) = 4+4y strategic 1 OK add 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:14:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y = 6+4y strategic 1 OK subtract 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:14:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -13y = 6 strategic 1 OK divide -13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -9y+(-2) = 4+4y strategic 2 OK answer-check -6/13 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:15:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 1 OK subtract 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:15:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7-7 = -2y+9-7 left 1 OK left -5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:15:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = -2y+9-7 right 1 OK right -2y+2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:15:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = -2y+2 strategic 1 OK add 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:15:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+2y = -2y+2+2y left 1 OK left -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:16:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = -2y+2+2y right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:16:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 1 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:16:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:16:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 1 OK right 2/-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:16:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 2 ERROR answer-check 2/-13 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:17:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 2 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:17:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:17:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 2 OK right 2/-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:17:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 strategic 1 OK rf 2/-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 OK -.666666 condition 3 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:18:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 3 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:18:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 3 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 3 OK right .6666666666666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:18:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 3 ERROR answer-check .6666666666666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:19:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 4 ERROR answer-check .6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = -2y+2 strategic 2 ERROR clt -5y = -2y+2 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y = -2y+2 strategic 3 OK add 2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:20:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+2y = -2y+2+2y left 2 OK left -5y+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:20:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+2y = -2y+2+2y right 1 OK right 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:21:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+2y = 2 strategic 1 OK clt -5y+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:21:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 2 OK -3y condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:21:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+2y = 2 strategic 2 OK clt -5y+2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:21:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 4 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:22:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 4 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:22:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 4 OK right .6667 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:22:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 5 ERROR answer-check 0.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:24:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y = 2 strategic 5 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:24:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3y/-3 = 2/-3 left 5 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:24:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 2/-3 right 5 OK right -.6667 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:24:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5y+7 = -2y+9 strategic 6 OK answer-check -0.6667 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:25:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+2x = 1+9x strategic 1 OK subtract 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+2x-1 = 1+9x-1 left 1 OK left -4+2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+2x = 1+9x-1 right 1 OK right 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+2x = 9x strategic 1 OK subtract 2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4+2x-2x = 9x-2x left 1 OK left -4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 9x-2x right 1 OK right 9x-2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:26:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 9x-2x strategic 1 OK clt 9x-2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:27:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 FinalAnswer strategic 1 OK 7x condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:27:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 9x-2x strategic 2 OK clt 9x-2x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:27:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4 = 7x strategic 1 OK divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:30:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4/7 = 7x/7 left 1 OK left -.571428 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:30:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -0.57142857 = 7x/7 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:30:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+2x = 1+9x strategic 2 OK answer-check -.5714 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+7 = 2+(-5x) strategic 1 OK subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:31:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+7-2 = 2+(-5x)-2 left 1 OK left -9x+5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:31:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+5 = 2+(-5x)-2 right 1 OK right -5x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:32:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+5 = -5x strategic 1 OK add 9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:32:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+5+9x = -5x+9x left 1 OK left 5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:32:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = -5x+9x right 1 OK right 4x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:33:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5 = 4x strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:33:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 5/4 = 4x/4 left 1 OK left 1.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:33:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1.25 = 4x/4 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:33:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9x+7 = 2+(-5x) strategic 2 OK answer-check 1.25 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:35:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-10) = -1+7x strategic 1 OK add 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:35:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-10) = -1+7x strategic 2 OK add 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:35:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-10)+10 = -1+7x+10 left 1 OK left 6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:36:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = -1+7x+10 right 1 OK right 9+7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:36:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 9+7x strategic 1 OK subtract 7x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:36:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x-7x = 9+7x-7x left 1 OK left -1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:37:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 9+7x-7x right 1 OK right 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:37:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 9 strategic 1 BUG divide x Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:38:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x = 9 strategic 2 OK divide -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:38:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1x/-1 = 9/-1 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:38:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 9/-1 right 1 OK right -9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session2 2007-04-23 13:38:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x+(-10) = -1+7x strategic 3 OK answer-check -9 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x+0.96 = -9.61+(-7.74x) strategic 1 OK subtract 0.96 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:06:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x = -10.57-7.74x strategic 1 ERROR add 7.74 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:07:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x+7.74 = -2.83-7.74x strategic 1 ERROR clt -1.6x+7.74 = -2.83-7.74x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x+7.74 = -2.83-7.74x strategic 2 ERROR clt -1.6x+7.74 = -2.83-7.74x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:08:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x+7.74 = -2.83-7.74x strategic 3 OK add 1.6x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:08:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 7.74 = -2.83-6.14x strategic 1 ERROR clt 7.74 = -2.83-6.14x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:09:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 7.74 = -2.83-6.14x strategic 2 ERROR add 6.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:09:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 7.74 = -2.83-6.14x strategic 3 OK add 2.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 10.57 = -6.14x strategic 1 OK divide -6.14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 -1.6x+0.96 = -9.61+(-7.74x) strategic 2 OK answer-check -1.7215 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:11:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.18+1.21y = -9.05y+(-3.89) strategic 1 OK subtract 1.21y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.18 = -10.26y-3.89 strategic 1 OK add 3.89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:11:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 10.07 = -10.26y strategic 1 OK divide -10.26 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:11:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.18+1.21y = -9.05y+(-3.89) strategic 2 OK answer-check -.9815 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:12:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.13+(-4.31x) = 5.27x+(-4.9) strategic 1 OK add 4.31x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:13:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.13 = 9.58x-4.9 strategic 1 OK add 4.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:13:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -3.23 = 9.58x strategic 1 OK divide 9.58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:13:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.13+(-4.31x) = 5.27x+(-4.9) strategic 2 OK answer-check -.3372 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:14:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.56y+(-8.91) = -7.66y+7.84 strategic 1 OK subtract 1.56y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:15:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -8.91 = -9.22y+7.84 strategic 1 OK subtract 7.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:15:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -16.75 = -9.22y strategic 1 OK divide -9.22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:15:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.56y+(-8.91) = -7.66y+7.84 strategic 2 OK answer-check 1.8167 condition 3 Consolidate variables, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 1 OK subtract 6.2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:17:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)-6.2y = -8.29y+(-5.5)-6.2y left 1 OK left -8.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:18:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82 = -8.29y+(-5.5)-6.2y right 1 OK right -14.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:18:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82 = -14.49y strategic 1 OK divide -14.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82/-14.49 = -14.49y/-14.49 left 1 OK left .391304 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:19:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.391304 = -14.49y/-14.49 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:20:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 2 ERROR answer-check .3913 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:20:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 3 OK add 8.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:22:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)+8.29y = -8.29y+(-5.5)+8.29y left 1 OK left 14.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session3 2007-04-25 13:22:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.49 = -8.29y+(-5.5)+8.29y right 1 OK right -5.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:49:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 1 OK subtract 6.2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:49:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)-6.2y = -8.29y+(-5.5)-6.2y left 1 OK left -8.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:50:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82 = -8.29y+(-5.5)-6.2y right 1 OK right 2.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:50:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 2 OK subtract 6.2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:50:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)-6.2y = -8.29y+(-5.5)-6.2y left 2 OK left -8.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:51:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82 = -8.29y+(-5.5)-6.2y right 2 OK right 2.09y+(-5.5) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:51:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82 = 2.09y+(-5.5) strategic 1 OK add 5.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:52:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.82+5.5 = 2.09y+(-5.5)+5.5 left 1 OK left -3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32 = 2.09y+(-5.5)+5.5 right 1 OK right 2.09y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:52:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32 = 2.09y strategic 1 OK divide 2.09 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32/2.09 = 2.09y/2.09 left 1 OK left -1.5885 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:52:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.58851675 = 2.09y/2.09 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 3 ERROR answer-check -1.5885 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:53:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 4 OK add 5.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:53:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)+5.5 = -8.29y+(-5.5)+5.5 left 1 OK left 6.2y(-3.32) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:54:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y*(-3.32) = -8.29y+(-5.5)+5.5 right 1 OK right -8.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:54:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y*(-3.32) = -8.29y strategic 1 BUG subtract 6.2y Put the expression in its simplest form by performing multiplication on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:54:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y*(-3.32)-6.2y = -8.29y-6.2y left 1 OK left -3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:54:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32 = -8.29y-6.2y right 1 OK right -14.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:54:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32 = -14.49y strategic 1 OK divide -14.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:55:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.32/-14.49 = -14.49y/-14.49 left 1 OK left .7708 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:55:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.7708 = -14.49y/-14.49 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:55:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 5 ERROR answer-check 0.7708 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:55:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 6 OK add 8.82 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:56:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82)+8.82 = -8.29y+(-5.5)+8.82 left 1 OK left 6.2y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:57:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y = -8.29y+(-5.5)+8.82 right 1 OK right -8.29y+3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:57:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y = -8.29y+3.32 strategic 1 OK add 8.29y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+8.29y = -8.29y+3.32+8.29y left 1 OK left 14.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.49y = -8.29y+3.32+8.29y right 1 OK right 3.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.49y = 3.32 strategic 1 OK divide 14.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 14.49y/14.49 = 3.32/14.49 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 3.32/14.49 right 1 OK right 0.229123 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:58:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.2y+(-8.82) = -8.29y+(-5.5) strategic 7 OK answer-check 0.2291 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:59:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.76+1.47y = 5.13y+(-3.76) strategic 1 OK add 7.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 12:59:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.76+1.47y+7.76 = 5.13y+(-3.76)+7.76 left 1 OK left 1.47y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:00:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.47y = 5.13y+(-3.76)+7.76 right 1 OK right 5.13y+4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:00:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.47y = 5.13y+4 strategic 1 OK subtract 5.13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.47y-5.13y = 5.13y+4-5.13y left 1 OK left -3.66y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.66y = 5.13y+4-5.13y right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.66y = 4 strategic 1 OK divide -3.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.66y/-3.66 = 4/-3.66 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 4/-3.66 right 1 OK right -1.0928 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:01:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.76+1.47y = 5.13y+(-3.76) strategic 2 OK answer-check -1.0929 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:02:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.73+5.28y = -7.74+8.41y strategic 1 OK subtract 7.73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:02:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.73+5.28y-7.73 = -7.74+8.41y-7.73 left 1 OK left 5.28y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:02:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.28y = -7.74+8.41y-7.73 right 1 OK right -15.47+8.41y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:03:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.28y = -15.47+8.41y strategic 1 OK subtract 8.41y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:03:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.28y-8.41y = -15.47+8.41y-8.41y left 1 OK left -3.13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:03:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.13y = -15.47+8.41y-8.41y right 1 OK right -15.47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:03:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.13y = -15.47 strategic 1 OK divide -3.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.13y/-3.13 = -15.47/-3.13 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:04:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -15.47/-3.13 right 1 OK right 4.9424 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:04:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.73+5.28y = -7.74+8.41y strategic 2 OK answer-check 4.9425 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:04:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2 = -8.55+7.62y strategic 1 OK subtract 5.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:04:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2-5.2 = -8.55+7.62y-5.2 left 1 OK left 2.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:05:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y = -8.55+7.62y-5.2 right 1 OK right -13.75+7.65y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y = -13.75+7.65y strategic 1 OK subtract 7.65y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y-7.65y = -13.75+7.65y-7.65y left 1 OK left -5.16y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.16y = -13.75+7.65y-7.65y right 1 OK right -13.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.16y = -13.75 strategic 1 OK divide -5.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.16y/-5.16 = -13.75/-5.16 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:06:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -13.75/-5.16 right 1 OK right 2.6647 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2 = -8.55+7.62y strategic 2 ERROR answer-check 2.6647 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:08:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2 = -8.55+7.62y strategic 3 OK subtract 5.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:08:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2-5.2 = -8.55+7.62y-5.2 left 2 OK left 2.49y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y = -8.55+7.62y-5.2 right 2 OK right -13.75+7.62y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:09:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y = -13.75+7.62y strategic 1 OK subtract 7.62y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:09:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y-7.62y = -13.75+7.62y-7.62y left 1 OK left -5.13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:10:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.13y = -13.75+7.62y-7.62y right 1 OK right -13.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:10:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.13y = -13.75 strategic 1 BUG divide -5.13y Dividing anything by itself will leave 1. If you divide -5.13y by -5.13, y will be left. Erase your last step and then divide by -5.13. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:10:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.13y = -13.75 strategic 2 OK divide -5.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:11:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.13y/-5.13 = -13.75/-5.13 right 1 OK right 2.6803 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:11:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.13y/-5.13 = 2.68031189 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:11:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.49y+5.2 = -8.55+7.62y strategic 4 OK answer-check 2.6803 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:11:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98) = -9.83+(-7.04x) strategic 1 OK add 1.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:11:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98)+1.98 = -9.83+(-7.04x)+1.98 left 1 OK left 2.23x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:12:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x = -9.83+(-7.04x)+1.98 right 1 OK right -7.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98) = -9.83+(-7.04x) strategic 2 OK add 1.98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98)+1.98 = -9.83+(-7.04x)+1.98 left 2 OK left 2.3x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.3x = -9.83+(-7.04x)+1.98 right 1 OK right -7.85+(-7.04x) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.3x = -7.85+(-7.04x) strategic 1 OK add 7.04x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.3x+7.04x = -7.85+(-7.04x)+7.04x left 1 OK left 9.34x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:13:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.34x = -7.85+(-7.04x)+7.04x right 1 OK right -7.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.34x = -7.85 strategic 1 OK divide 9.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:14:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.34x/9.34 = -7.85/9.34 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:14:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -7.85/9.34 right 1 OK right -.8404 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:14:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98) = -9.83+(-7.04x) strategic 3 ERROR answer-check -0.8405 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:16:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98) = -9.83+(-7.04x) strategic 4 OK add 9.83 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:17:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98)+9.83 = -9.83+(-7.04x)+9.83 left 1 OK left 2.23x+7.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:17:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+7.85 = -9.83+(-7.04x)+9.83 right 1 OK right -7.04x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:17:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+7.85 = -7.04x strategic 1 OK subtract 2.23x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:17:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+7.85-2.23x = -7.04x-2.23x left 1 OK left 7.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:17:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.85 = -7.04x-2.23x right 1 OK right -9.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:18:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+7.85 = -7.04x strategic 2 OK subtract 2.23x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:18:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+7.85-2.23x = -7.04x-2.23x left 2 OK left 7.85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:18:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.85 = -7.04x-2.23x right 2 OK right -9.27x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:18:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.85 = -9.27x strategic 1 OK divide -9.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:19:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.85/-9.27 = -9.27x/-9.27 left 1 OK left -.8468 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:19:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.84681769 = -9.27x/-9.27 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:19:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.23x+(-1.98) = -9.83+(-7.04x) strategic 5 OK answer-check -0.8468 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:19:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.45+1.15x = -4.05+(-5.87x) strategic 1 OK add 4.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.45+1.15x+4.05 = -4.05+(-5.87x)+4.05 left 1 OK left -2.4+1.15x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:20:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4+1.15x = -4.05+(-5.87x)+4.05 right 1 OK right -5.87x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:20:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4+1.15x = -5.87x strategic 1 OK subtract 1.15x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:20:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4+1.15x-1.15x = -5.87x-1.15x left 1 OK left -2.4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:21:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4 = -5.87x-1.15x right 1 OK right -7.02x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:21:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4 = -7.02x strategic 1 OK divide -7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:21:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.4/-7.02 = -7.02x/-7.02 left 1 OK left 0.341880 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:21:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.34188034 = -7.02x/-7.02 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session4 2007-04-27 13:21:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.45+1.15x = -4.05+(-5.87x) strategic 2 OK answer-check .3419 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+0.25 = -6.24+(-6.06y) strategic 1 OK add 6.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:55:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+0.25+6.24 = -6.24+(-6.06y)+6.24 left 1 OK left 1.11y+6.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+6.49 = -6.24+(-6.06y)+6.24 right 1 OK right -6.06y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:56:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+6.49 = -6.06y strategic 1 OK subtract 1.11y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:56:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+6.49-1.11y = -6.06y-1.11y left 1 OK left 6.49 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:57:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.49 = -6.06y-1.11y right 1 OK right -7.17y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:58:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.49 = -7.17y strategic 1 OK divide -7.17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:58:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.49/-7.17 = -7.17y/-7.17 left 1 OK left -.905160 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:58:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.90516039 = -7.17y/-7.17 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I fm20MG1 session5 2007-04-30 12:58:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.11y+0.25 = -6.24+(-6.06y) strategic 2 OK answer-check -0.9052 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. wilkinsburghs-15221 248v318ejl--6--Alg I gcsgHA6 session0 2007-04-17 13:55:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check 3.54 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 13:55:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check -3.54 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 13:56:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:08:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -17.67 = 36.91+(-76.48y) strategic 1 OK answer-check 0.7137 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:08:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 32+80y = 42 strategic 1 OK answer-check 1/8 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:14:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3486 = -1785+(-8836x) strategic 1 ERROR answer-check 0.3056 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:15:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3486 = -1785+(-8836x) strategic 2 ERROR answer-check 0.5965 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:16:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3486 = -1785+(-8836x) strategic 3 ERROR answer-check -0.3056 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:16:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3486 = -1785+(-8836x) strategic 4 ERROR answer-check -05965 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:16:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 3486 = -1785+(-8836x) strategic 5 OK answer-check -0.5965 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:20:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.01x+(-3.38) = -8.24 strategic 1 ERROR answer-check 2.4179 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:20:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.01x+(-3.38) = -8.24 strategic 2 OK answer-check -2.4179 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:21:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.43+0.84x = 12.05 strategic 1 ERROR answer-check 3.1190 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:23:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.43+0.84x = 12.05 strategic 2 OK answer-check 25.5714 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:25:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 63y+(-25) = 98 strategic 1 OK answer-check 1.9523 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:27:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -7.06+2.38x = -8.88 strategic 1 ERROR answer-check 6.6974 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:27:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -7.06+2.38x = -8.88 strategic 2 ERROR answer-check -6.6974 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:27:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -7.06+2.38x = -8.88 strategic 3 OK answer-check -0.7647 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:29:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 55 = 29+(-31x) strategic 1 ERROR answer-check 2.7096 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I gcsgHA6 session0 2007-04-17 14:29:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 55 = 29+(-31x) strategic 2 ERROR answer-check -2.7096 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I h1009K6 session0 2007-04-27 08:26:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:26:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:27:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR rds -2029/572 = -y strategic condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -2029/572 = -y strategic 2 ERROR mt -2029/572 = -y strategic condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:27:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -2029/572 = -y strategic 3 ERROR rf -2029/572 = -y strategic condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:27:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 3 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 92.63y+(-0.73) = -36.39 strategic 1 OK add 0.73 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 92.63y = -35.66 strategic 1 ERROR divide 92.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 1.00292334y = -0.38609788 strategic 1 ERROR divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 1.00292334y = -0.38609788 strategic 2 OK divide 1.0029 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 138y+0 = 8945 strategic 1 OK subtract 0 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:28:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 138y = 8945 strategic 1 OK divide 138 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:29:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -9626 = 3343y+(-5793) strategic 1 OK add 5793 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:29:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -3833 = 3343y strategic 1 OK divide 3343 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:29:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 72.45 = -14.53x+(-42.89) strategic 1 OK add 42.89 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 115.34 = -14.53x strategic 1 OK divide -14.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -13.14 = -8.64y+(-9.76) strategic 1 OK add 9.76 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:30:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -3.38 = -8.64y strategic 1 OK divide -8.64 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:30:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -70.04 = 6.13x+(-81.64) strategic 1 OK add 81.64 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:31:37.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 -70.04+81.64 = 6.13x+(-81.64)+81.64 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:32:11.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42 -70.04+81.64 = 6.13x+(-81.64)+81.64 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -70.04+81.64 = 6.13x+(-81.64)+81.64 left 1 ERROR left 81.64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:33:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -70.04 = 6.13x+(-81.64) strategic 2 OK add 81.64 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -70.04+81.64 = 6.13x+(-81.64)+81.64 left 2 BUG left -11.6 The result should be positive. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -70.04+81.64 = 6.13x+(-81.64)+81.64 left 3 OK left 11.6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:34:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6 = 6.13x+(-81.64)+81.64 right 1 OK right 6.13x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:34:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6 = 6.13x strategic 1 OK divide 6.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:34:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6/6.13 = 6.13x/6.13 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:35:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6/6.13 = x left 1 ERROR left 1.84 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6/6.13 = x left 2 BUG left 0.528 You need to calculate 11.6 divided by 6.13, not 6.13 divided by 11.6. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:36:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 11.6/6.13 = x left 3 OK left 1.892 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:36:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x+(-1281) = 4607 strategic 1 OK add 1281 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x+(-1281)+1281 = 4607+1281 right 1 OK right 5888 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x+(-1281)+1281 = 5888 left 1 ERROR left 480x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x+(-1281)+1281 = 5888 left 2 OK left 4801x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x = 5888 strategic 1 OK divide 4801 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x/4801 = 5888/4801 right 1 ERROR right 1226 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:37:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4801x/4801 = 5888/4801 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:38:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = 5888/4801 right 1 OK right 1.226 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y = -6 strategic 1 BUG add 5.36 Since 5.36 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5.36 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:38:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y = -6 strategic 2 OK subtract 5.36 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:38:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y-5.36 = -6-5.36 right 1 ERROR right 064 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:38:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y-5.36 = -6-5.36 right 2 BUG right 0.64 0.64 is equal to 6 minus 5.36. You need to calculate -6 minus 5.36. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:39:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y-5.36 = -6-5.36 right 3 OK right -11.36 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y-5.36 = -11.36 left 1 ERROR left 14.59 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:40:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 5.36+9.23y-5.36 = -11.36 left 2 OK left 9.23y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:40:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 9.23y = -11.36 strategic 1 OK divide 9.23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:41:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 9.23y/9.23 = -11.36/9.23 right 1 OK right -1.230 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:41:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 9.23y/9.23 = -1.23076923 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:41:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y+7 = -48 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:41:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y+7-7 = -48-7 right 1 BUG right 55 You need to calculate -48 minus 7, not 7 minus -48. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:41:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y+7-7 = -48-7 right 2 OK right -55 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:42:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y+7-7 = -55 left 1 OK left 3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y = -55 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y/3 = -55/3 right 1 OK right -18.333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 3y/3 = -18.33333333 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 8 = -85+11y strategic 1 OK add 85 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 8+85 = -85+11y+85 right 1 OK right 11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 8+85 = 11y left 1 OK left 93 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 93 = 11y strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 93/11 = 11y/11 left 1 OK left 8.4545 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:43:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 8.45454545 = 11y/11 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:44:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 8.59 = -9.33y+(-7.84) strategic 1 OK add 7.84 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:44:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 8.59+7.84 = -9.33y+(-7.84)+7.84 right 1 OK right -9.33y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:44:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 8.59+7.84 = -9.33y left 1 OK left 16.43 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:44:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43 = -9.33y strategic 1 BUG divide 16.43 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:45:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43 = -9.33y strategic 2 OK divide -9.33 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:45:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43/-9.33 = -9.33y/-9.33 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:45:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43/-9.33 = y left 1 ERROR left 7.1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:46:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43/-9.33 = y left 2 BUG left 1.76 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:46:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 16.43/-9.33 = y left 3 OK left -1.76 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:46:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.55 = 14.52+12.92y strategic 1 OK subtract 14.52 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:46:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.55-14.52 = 14.52+12.92y-14.52 right 1 OK right 12.92y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:47:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.55-14.52 = 12.92y left 1 BUG left 3.97 You need to calculate 10.55 minus 14.52, not 14.52 minus 10.55. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:47:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.55-14.52 = 12.92y left 2 OK left -3.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:47:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.97 = 12.92y strategic 1 OK divide 12.92 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:48:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -3.97/12.92 = 12.92y/12.92 left 1 OK left -0.307 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:48:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -0.30727554 = 12.92y/12.92 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:49:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 161 = -602/x+736 strategic 1 OK subtract 736 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:49:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -575 = -602/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -575x = -602 strategic 1 OK divide -575 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:49:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 389+6/x = 372 strategic 1 OK subtract 389 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 6/x = -17 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 6 = -17x strategic 1 OK divide -17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -33/x+(-53) = -14 strategic 1 OK add 53 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -33/x = 39 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -33 = 39x strategic 1 OK divide 39 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -73+(-86/x) = -85 strategic 1 OK add 73 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:50:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -86/x = -12 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:51:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -86 = -12x strategic 1 ERROR multiply x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:51:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -86 = -12x strategic 2 BUG divide 12 In this equation, x is multiplied by -12. Dividing by 12 leaves -x, so you still need to remove the negative sign. It is better to divide by -12, since that would leave x. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:51:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -86 = -12x strategic 3 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:51:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -419 = 936+385/x strategic 1 OK subtract 936 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:51:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -419-936 = 936+385/x-936 left 1 BUG left -517 -517 is equal to 419 minus 936. You need to calculate -419 minus 936. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:52:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -419-936 = 936+385/x-936 left 2 BUG left 517 517 is equal to -419 plus 936. You need to calculate -419 minus 936. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:52:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -419-936 = 936+385/x-936 left 3 BUG left 1355 You need to calculate -419 minus 936, not 936 minus -419. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:53:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -419-936 = 936+385/x-936 left 4 OK left -1355 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:53:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355 = 936+385/x-936 right 1 OK right 385/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355 = 385/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x = 385/x*x right 1 OK right 385 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x = 385 left 1 BUG left 1355x You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x = 385 left 2 OK left -1355x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x = 385 strategic 1 BUG divide 1355 In this equation, x is multiplied by -1355. Dividing by 1355 leaves -x, so you still need to remove the negative sign. It is better to divide by -1355, since that would leave x. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:54:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x = 385 strategic 2 OK divide -1355 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x/-1355 = 385/-1355 right 1 OK right -0.284 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1355x/-1355 = -0.28413284 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -63+82/x = -67 strategic 1 OK add 63 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -63+82/x+63 = -67+63 right 1 OK right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -63+82/x+63 = -4 left 1 OK left 82/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82/x = -4 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82/x*x = -4x left 1 OK left 82 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:56:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82 = -4x right 1 OK right -4x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:57:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:57:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82/-4 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:57:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 82/-4 = x left 1 OK left -20.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:58:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 258+731/x = -209 strategic 1 OK subtract 258 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:58:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 258+731/x-258 = -209-258 left 1 OK left 731/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:58:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -209-258 right 1 ERROR right 48 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:58:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -209-258 right 2 BUG right 49 49 is equal to -209 plus 258. You need to calculate -209 minus 258. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:58:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -209-258 right 3 BUG right -49 -49 is equal to 209 minus 258. You need to calculate -209 minus 258. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:59:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -209-258 right 4 BUG right 467 You need to calculate -209 minus 258, not 258 minus -209. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 08:59:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -209-258 right 5 OK right -467 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x = -467 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/x*x = -467x left 1 OK left 731 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731 = -467x right 1 OK right -467x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731 = -467x strategic 1 OK divide -467 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/-467 = -467x/-467 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:00:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/-467 = x left 1 ERROR left -1.56 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:01:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 731/-467 = x left 2 OK left -1.5653 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:02:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7+1x = 4+8x strategic 1 OK add 7 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:02:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 x = 11+8x strategic 1 OK subtract 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7x = 11 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:03:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+2 = 7x+5 strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:03:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = 7x+3 strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:03:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3x = 3 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:03:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10x+8 = 3+(-6x) strategic 1 OK subtract 8 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:03:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -10x = -5-6x strategic 1 OK add 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:04:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = -5 strategic 1 BUG divide -4x Dividing anything by itself will leave 1. If you divide -4x by -4, x will be left. Erase your last step and then divide by -4. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:04:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4x = -5 strategic 2 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:04:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-3) = -6y+(-3) strategic 1 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:05:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = -6y strategic 1 ERROR add -2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:05:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = -6y strategic 2 ERROR add 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = -6y strategic 3 ERROR add -6 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:14.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -2y = -6y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:20.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 6y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:24.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 6y to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = -6y strategic 5 OK add 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:06:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4y = 0 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y+(-7) = -1+(-4y) strategic 1 OK add 7 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y = 6-4y strategic 1 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = 6 strategic 1 BUG divide 1 In this equation, y is multiplied by -1. Dividing by 1 leaves -y, so you still need to remove the negative sign. It is better to divide by -1, since that would leave y. BUG condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = 6 strategic 2 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:34.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -y = 6 strategic 3 INITIAL_HINT condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:35.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:07:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = 6 strategic 4 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:08:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y+5 = 3+5y strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:08:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y+2 = 5y strategic 1 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:08:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -12y+2 = 0 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:08:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -12y = -2 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:08:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+(-3x) = 9x+(-2) strategic 1 OK add 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:09:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+(-3x)+2 = 9x+(-2)+2 right 1 OK right 9x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:09:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+(-3x)+2 = 9x left 1 OK left 11+(-3x) condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:09:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x) = 9x strategic 1 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:09:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 9x-9x right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:10:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 0 left 1 ERROR left 11+(-12) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:10:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 0 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:10:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 11+(-3x)-9x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:10:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 0 left 2 ERROR left 11+-(-3x)-9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:10:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 0 left 3 ERROR left 11+(-12) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11+(-3x)-9x = 0 left 4 OK left 11-12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11-12x = 0 strategic 1 OK subtract 11 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11-12x-11 = 0-11 right 1 BUG right 11 11 is equal to 0 plus 11. You need to calculate 0 minus 11. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11-12x-11 = 0-11 right 2 OK right -11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11-12x-11 = -11 left 1 BUG left 12x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:11:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11-12x-11 = -11 left 2 OK left -12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:12:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12x = -11 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:12:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -12x/-12 = -11/-12 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:12:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -11/-12 right 1 BUG right -0.916666 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:12:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -11/-12 right 2 OK right 0.916666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:12:55.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = 0.91666667 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+(-3) = -9y+2 strategic 1 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y+(-3)+3 = -9y+2+3 left 1 OK left -10y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+2+3 right 1 OK right -9y+5 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 1 ERROR add -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:13:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 2 ERROR add -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:14:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 3 ERROR add -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:14:25.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10y+(-9y) = -9y+5+(-9y) strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:14:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 4 ERROR add -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:14:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 5 ERROR subtract 5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:15:25.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 6 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:15:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -9y to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:15:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -9y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:15:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y = -9y+5 strategic 7 OK subtract -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:15:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y-(-9y) = -9y+5-(-9y) left 1 BUG left 19y 19y is equal to 10y minus -9y. You need to calculate -10y minus -9y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:16:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y-(-9y) = -9y+5-(-9y) left 2 ERROR left 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:16:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y-(-9y) = -9y+5-(-9y) left 3 BUG left 1y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:16:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10y-(-9y) = -9y+5-(-9y) left 4 OK left -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:16:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = -9y+5-(-9y) right 1 OK right 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:16:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = 5 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:17:57.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1y = 5 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:17:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = 5 strategic 3 OK mt -1y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1y = 5 strategic 4 OK mt -1y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 ERROR y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 3 INITIAL_HINT y This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 4 INITIAL_HINT y This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:53.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE A numeric coefficient is a number. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:18:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 5 OK -1 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK -1 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK y condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -y condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = 5 strategic 1 BUG divide 1 In this equation, y is multiplied by -1. Dividing by 1 leaves -y, so you still need to remove the negative sign. It is better to divide by -1, since that would leave y. BUG condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = 5 strategic 2 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y/5 = 5/5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:19:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = 5 strategic 3 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y = 5 strategic 4 INITIAL_HINT condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:07.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y = 5 strategic 5 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y/-1 = 5/-1 left 1 OK left y condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 5/-1 right 1 BUG right 5 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 5/-1 right 2 OK right -5 condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y = -5 strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:20:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:21:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y) = -3y+6 strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:22:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y)-6 = -3y+6-6 right 1 OK right -3y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:22:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y)-6 = -3y left 1 ERROR left -1+(-8y) condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:22:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y)-6 = -3y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:22:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 7+(-8y)-6 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:22:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y)-6 = -3y left 2 BUG left 7+(-8y) You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+(-8y)-6 = -3y left 3 OK left 7+(-8y)-6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 1 OK clt 7-8y-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 7 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 BUG  6 Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 2 BUG  6 Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 3 BUG  8y  8y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  8y, is not one of the constant terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 5 BUG  6 Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 2 ERROR rds 7-8y-6 = -3y strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:23:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 3 ERROR rf 7-8y-6 = -3y strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 5 OK clt 7-8y-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:10.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 INITIAL_HINT This group of entry boxes represent the y terms. Find a y term in the expression. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 5 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 7 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 8 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 9 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:25:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6 = -3y strategic 6 OK subtract -3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6-(-3y) = -3y-(-3y) right 1 ERROR right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6-(-3y) = -3y-(-3y) strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 7-8y-6-(-3y) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6-(-3y) = -3y-(-3y) strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:26:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in 7-8y-6-(-3y) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:27:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6-(-3y) = -3y-(-3y) left 1 OK left 7-8y-6-(-3y) condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:27:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6+3y = -3y-(-3y) strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:27:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Type in -3y-(-3y) on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:27:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6+3y = -3y-(-3y) right 1 BUG right -3y-3y -3y-3y is equal to -3y plus -3y. You need to calculate -3y minus -3y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6+3y = -3y-(-3y) right 2 OK right 0 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-8y-6+3y = 0 strategic 1 OK clt 7-8y-6+3y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 OK +3y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 10 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 6 OK -6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 3 OK 7 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:28:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 11 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 12 OK -8y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 ERROR 5y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK -5y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 ERROR -1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 ERROR -13 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 OK 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:29:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -5y+1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+1 = 0 strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+1-1 = 0-1 right 1 BUG right 1 1 is equal to 0 plus 1. You need to calculate 0 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+1-1 = 0-1 right 2 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+1-1 = -1 left 1 OK left -5y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = -1 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y/-5 = -1/-5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 1 BUG right 5 5 is equal to -1 times -5. You need to calculate -1 divided by -5. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:30:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 2 ERROR right -5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:31:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 3 BUG right 5 5 is equal to -1 times -5. You need to calculate -1 divided by -5. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:32:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 4 ERROR right -5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:32:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 5 BUG right 5 5 is equal to -1 times -5. You need to calculate -1 divided by -5. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:32:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 6 ERROR right 02 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-5 right 7 OK right 0.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+7x = -6+3x strategic 1 OK add 6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+7x+6 = -6+3x+6 left 1 OK left 6+7x+6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+7x+6 = -6+3x+6 right 1 OK right 3x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+7x+6 = 3x strategic 1 OK clt 6+7x+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK +7x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 7x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:33:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 7x+12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:34:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 1 ERROR divide 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 2 ERROR add 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:34:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:34:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 7x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 4 ERROR add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:00.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:04.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Subtract 7x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+12 = 3x strategic 6 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+12-7x = 3x-7x left 1 OK left 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session0 2007-04-27 09:35:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = 3x-7x right 1 ERROR right 5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:25:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = 3x-7x right 1 OK right -4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:25:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:26:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12/-4 = -4x/-4 left 1 BUG left 3 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12/-4 = -4x/-4 left 2 OK left -3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:26:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:26:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2) = 9+7x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:26:52.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2) = 9+7x strategic 2 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:27:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2) = 9+7x strategic 3 BUG subtract 2 Since -2 is negative, you should add to remove it from the both side. Erase your last step and add 2 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:27:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2) = 9+7x strategic 4 OK add 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:27:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2)+2 = 9+7x+2 right 1 OK right 11+7x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:27:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x+(-2)+2 = 11+7x left 1 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 11+7x strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-7x = 11+7x-7x right 1 OK right 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-7x = 11 left 1 OK left -5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = 11 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x/-5 = 11/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/-5 right 1 ERROR right 0.45 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:28:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/-5 right 2 ERROR right 1.1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:29:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/-5 right 3 ERROR right -1.1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:29:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/-5 right 4 BUG right 2.2 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:29:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 11/-5 right 5 OK right -2.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:29:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y) = -3+10y strategic 1 ERROR add 4 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y) = -3+10y strategic 2 ERROR subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:17.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y) = -3+10y strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y) = -3+10y strategic 4 OK add 10 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y)+10 = -3+10y+10 right 1 OK right 7+10y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:30:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10+(-4y)+10 = 7+10y left 1 OK left -4y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = 7+10y strategic 1 OK subtract 10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:31:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7+10y-10y right 1 OK right 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:31:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7 left 1 BUG left 6y 6y is equal to -4y plus 10y. You need to calculate -4y minus 10y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:31:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7 left 2 BUG left -6y -6y is equal to 4y minus 10y. You need to calculate -4y minus 10y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7 left 3 ERROR left 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7 left 4 ERROR left -14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y-10y = 7 left 5 OK left -14y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y = 7 strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y = 7 strategic 2 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y/-14 = 7/-14 right 1 ERROR right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y/-14 = 7/-14 right 2 BUG right -2 You need to calculate 7 divided by -14, not -14 divided by 7. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y/-14 = 7/-14 right 3 OK right -0.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:32:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14y/-14 = -0.5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:33:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y = -3+(-8y) strategic 1 BUG add -3 To remove -3 from the right side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:33:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y = -3+(-8y) strategic 2 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:33:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -3+(-8y)+3 right 1 OK right -8y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:34:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y left 1 ERROR left -6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:35:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y left 2 BUG left -12+5y -12+5y is equal to -9+5y minus 3. You need to calculate -9+5y plus 3. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:35:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:35:54.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -9+5y+3 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y left 3 BUG left -9+5y You haven't performed any operations. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:36:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y left 4 OK left -9+5y+3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:36:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y = -3+(-8y) strategic 3 OK add 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:36:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -3+(-8y)+3 left 1 OK left -9+5y+3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:36:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -3+(-8y)+3 right 2 OK right -8y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:37:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y strategic 2 BUG subtract 9 Since -9 is negative, you should add to remove it from the both side. Erase your last step and add 9 to both sides. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y strategic 3 BUG add 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:37:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+5y+3 = -8y strategic 4 OK clt -9+5y+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:37:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK +5y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:37:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK -9 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:32.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 INITIAL_HINT In the group above, you have [+5y]. Type [+5y] here. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK 5y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK -9+3 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:47.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 INITIAL_HINT Above, you have [5y]+[-9+3]. Enter 5y-6 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:38:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 5y-6 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6 = -8y strategic 1 ERROR add 6 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6 = -8y strategic 2 ERROR subtract 5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 5y-6 = -8y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 5y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6 = -8y strategic 4 ERROR subtract -5 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:39:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6 = -8y strategic 5 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6-5y = -8y-5y right 1 BUG right 13y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6-5y = -8y-5y right 2 OK right -13y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-6-5y = -13y left 1 OK left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6 = -13y strategic 1 BUG divide -6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6 = -13y strategic 2 OK divide -13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:40:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = -13y/-13 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:42:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 1 ERROR left 2.16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:43:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 2 ERROR left -19 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:43:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 3 ERROR left 19 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:44:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 4 ERROR left -2.16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:44:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:44:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in -6/-13 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:44:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 5 ERROR left 2.2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:46:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6/-13 = y left 6 OK left .4615 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+6y = -6+9y strategic 1 OK add 6 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+6y+6 = -6+9y+6 right 1 OK right 9y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+6y+6 = 9y left 1 OK left 13+6y condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 13+6y = 9y strategic 1 OK subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 13+6y-6y = 9y-6y left 1 OK left 13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 13 = 9y-6y right 1 OK right 3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 13 = 3y strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:47:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 13/3 = 3y/3 left 1 OK left 4.333333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:48:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4.33333333 = 3y/3 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:48:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 0.74+(-7.36y) = 0.2y+(-0.11) strategic 1 OK subtract 0.74 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:49:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.36y = 0.2y-0.85 strategic 1 ERROR add 0.2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:49:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.36y = 0.2y-0.85 strategic 2 ERROR add 0.2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:49:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.36y = 0.2y-0.85 strategic 3 ERROR subtract -0.2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.36y = 0.2y-0.85 strategic 4 OK subtract 0.2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:49:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.56y = -0.85 strategic 1 OK divide -7.56 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:50:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 6.57+(-1.95y) = 6.82y+(-0.89) strategic 1 OK subtract 6.57 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:50:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.95y = 6.82y-7.46 strategic 1 OK subtract 6.82y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:50:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.77y = -7.46 strategic 1 OK divide -8.77 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:50:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.03+5.39x = 2.47+(-5.51x) strategic 1 OK add 9.03 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:51:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.39x = 11.5-5.51x strategic 1 OK add 5.51x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:51:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 10.9x = 11.5 strategic 1 OK divide 10.9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:51:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.01+(-7.71x) = 8.89+(-0.25x) strategic 1 BUG add 3.01 Since 3.01 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 3.01 from both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:51:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.01+(-7.71x) = 8.89+(-0.25x) strategic 2 OK subtract 3.01 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:51:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.71x = 5.88-0.25x strategic 1 ERROR subtract 588 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:52:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.71x = 5.88-0.25x strategic 2 ERROR subtract 5.88 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:52:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.71x = 5.88-0.25x strategic 3 ERROR subtract 5.88 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:52:31.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -7.71x = 5.88-0.25x strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:52:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.71x = 5.88-0.25x strategic 5 OK add 0.25x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:52:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.46x = 5.88 strategic 1 OK divide -7.46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:53:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.03y+0.7 = -1.66y+(-6.87) strategic 1 OK subtract 0.7 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:53:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.03y = -1.66y-7.57 strategic 1 OK add 1.66y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:54:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.37y = -7.57 strategic 1 OK divide -6.37 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:54:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.67+1.09x = 9.33x+(-6.52) strategic 1 OK subtract 0.67 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:54:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.09x = 9.33x-7.19 strategic 1 ERROR subtract 9.33 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:54:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.09x = 9.33x-7.19 strategic 2 OK subtract 9.33x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:55:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.24x = -7.19 strategic 1 OK divide -8.24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:55:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.94y+(-2.93) = 5.5+4.69y strategic 1 OK subtract -2.93 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:55:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.94y = 8.43+4.69y strategic 1 OK subtract 4.69y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:56:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 8.43 strategic 1 BUG divide 3.25y Dividing anything by itself will leave 1. If you divide 3.25y by 3.25, y will be left. Erase your last step and then divide by 3.25. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:56:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.25y = 8.43 strategic 2 OK divide 3.25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:57:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.74+(-3.99y) = -9.02+(-9.88y) strategic 1 OK add 1.74 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:57:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.99y = -7.28-9.88y strategic 1 OK add 9.88y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:57:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.89y = -7.28 strategic 1 OK divide 5.89 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:58:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.15+(-6.61x) = 7.22x+(-7.33) strategic 1 OK subtract 2.15 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:58:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.15+(-6.61x)-2.15 = 7.22x+(-7.33)-2.15 left 1 OK left -6.61x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:58:36.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x+(-7.33)-2.15 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:59:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x+(-7.33)-2.15 right 1 ERROR right 7.22x+(-9.37) condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:59:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x+(-7.33)-2.15 right 2 ERROR right 7.22x+9.37 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:59:31.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x+(-7.33)-2.15 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:59:32.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in 7.22x+(-7.33)-2.15 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 08:59:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x+(-7.33)-2.15 right 3 OK right 7.22x+(-7.33)-2.15 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x-7.33-2.15 strategic 1 OK clt 7.22x-7.33-2.15 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK 7.22x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -7.33 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -2.15 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK 7.22x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:32.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [-7.33]+[-2.15]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:41.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 INITIAL_HINT Simplify the expression [-7.33]+[-2.15]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:41.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 3 INITIAL_HINT Simplify the expression [-7.33]+[-2.15]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:42.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 4 INITIAL_HINT Simplify the expression [-7.33]+[-2.15]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:42.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 5 INITIAL_HINT Simplify the expression [-7.33]+[-2.15]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:00:45.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 6 ERROR 9.48 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 7 OK -9.48 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 ERROR 7.22x+(-9.48 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 7.22x+(-9.48) condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x = 7.22x-9.48 strategic 1 OK subtract 7.22x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:01:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x-7.22x = 7.22x-9.48-7.22x right 1 OK right -9.48 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:02:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x-7.22x = -9.48 left 1 ERROR left 0.61 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:02:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x-7.22x = -9.48 left 2 BUG left 0.61x 0.61x is equal to -6.61x plus 7.22x. You need to calculate -6.61x minus 7.22x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:02:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.61x-7.22x = -9.48 left 3 OK left -13.83x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:02:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.83x = -9.48 strategic 1 OK divide -13.83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:02:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.83x/-13.83 = -9.48/-13.83 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:03:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -9.48/-13.83 right 1 ERROR right 1.45 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:03:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -9.48/-13.83 right 2 ERROR right -1.45 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:03:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -9.48/-13.83 right 3 OK right 0.6854 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:04:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+(-3.09) = -3.52+(-7.39x) strategic 1 BUG subtract 3.09 Since -3.09 is negative, you should add to remove it from the both side. Erase your last step and add 3.09 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:04:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+(-3.09) = -3.52+(-7.39x) strategic 2 ERROR add 30 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:05:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+(-3.09) = -3.52+(-7.39x) strategic 3 OK add 3.09 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:05:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+(-3.09)+3.09 = -3.52+(-7.39x)+3.09 left 1 OK left 0.53x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:05:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52+(-7.39x)+3.09 right 1 ERROR right -6.61 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:05:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52+(-7.39x)+3.09 right 2 ERROR right 6.61 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52+(-7.39x)+3.09 right 3 ERROR right 6.61+(-7.39) condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:04.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52+(-7.39x)+3.09 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:06.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -3.52+(-7.39x)+3.09 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52+(-7.39x)+3.09 right 4 OK right -3.52+(-7.39x)+3.09 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -3.52-7.39x+3.09 strategic 1 OK clt -3.52-7.39x+3.09 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK -7.39x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +3.09 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -3.52 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:06:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 ERROR -7.39 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 2 OK -7.39x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 ERROR 0.43 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:18.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 INITIAL_HINT 0.43 Simplify the expression [-3.52]+[+3.09]. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:21.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:23.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 3 INITIAL_HINT 0.43 To simplify this, add the constant terms. HINT 2 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 4 OK 3.09-3.52 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:34.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-7.39x]+[3.09-3.52]. Enter -7.39x-0.43 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:36.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 INITIAL_HINT Above, you have [-7.39x]+[3.09-3.52]. Enter -7.39x-0.43 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:07:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK -7.39x-0.43 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:08:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -7.39x-0.43 strategic 1 ERROR add 7.39 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:08:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -7.39x-0.43 strategic 2 ERROR add 7.3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:08:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x = -7.39x-0.43 strategic 3 OK add 7.39x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:08:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+7.39x = -7.39x-0.43+7.39x right 1 BUG right 0.43 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:08:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+7.39x = -7.39x-0.43+7.39x right 2 OK right -0.43 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:10:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.53x+7.39x = -0.43 left 1 OK left 7.92x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:10:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.92x = -0.43 strategic 1 OK divide 7.92 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:10:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.92x/7.92 = -0.43/7.92 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:11:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -0.43/7.92 right 1 ERROR right 18.41 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:11:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -0.43/7.92 right 2 BUG right 0.054 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:11:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -0.43/7.92 right 3 OK right -0.054 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:12:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x+(-2.49) = -7.76+(-4.69x) strategic 1 BUG subtract 2.49 Since -2.49 is negative, you should add to remove it from the both side. Erase your last step and add 2.49 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:12:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x+(-2.49) = -7.76+(-4.69x) strategic 2 OK add 2.49 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:12:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x+(-2.49)+2.49 = -7.76+(-4.69x)+2.49 left 1 OK left 1.65x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:12:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x = -7.76+(-4.69x)+2.49 right 1 OK right -7.76+(-4.69x)+2.49 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:13:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x = -7.76-4.69x+2.49 strategic 1 OK clt -7.76-4.69x+2.49 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:13:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -7.76 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:13:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK -4.69x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:13:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +2.49 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK -4.69x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -7.76+2.49 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 ERROR -4.69x+ condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:28.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 INITIAL_HINT -4.69x+ Above, you have [-4.69x]+[-7.76+2.49]. Enter -4.69x-5.27 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK -4.69x-5.27 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:14:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x = -4.69x-5.27 strategic 1 ERROR add 4.69 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:05.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 1.65x = -4.69x-5.27 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:07.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.69x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:10.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 4.69x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x = -4.69x-5.27 strategic 3 OK add 4.69x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x+4.69x = -4.69x-5.27+4.69x right 1 OK right -5.27 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.65x+4.69x = -5.27 left 1 OK left 6.34x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.34x = -5.27 strategic 1 OK divide 6.34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:15:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.34x/6.34 = -5.27/6.34 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:16:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -5.27/6.34 right 1 BUG right 0.831230 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:16:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -5.27/6.34 right 2 OK right -0.831230 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:17:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.32+(-0.6x) = 7.64+(-9.42x) strategic 1 OK subtract 4.32 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:17:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.32+(-0.6x)-4.32 = 7.64+(-9.42x)-4.32 right 1 ERROR right 7.64+(-9.42)-4.32 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:17:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.32+(-0.6x)-4.32 = 7.64+(-9.42x)-4.32 right 2 OK right 7.64+(-9.42x)-4.32 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:17:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.32+(-0.6x)-4.32 = 7.64-9.42x-4.32 left 1 OK left -0.6x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x = 7.64-9.42x-4.32 strategic 1 OK clt 7.64-9.42x-4.32 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK -9.42x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK 7.64 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK -4.32 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK -9.42x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:18:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 7.64-4.32 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -9.42x+3.32 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x = -9.42x+3.32 strategic 1 ERROR add 9.42 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x = -9.42x+3.32 strategic 2 ERROR add 9.42 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:29.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42 = -9.42x+3.32+9.42 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:35.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -0.6x+9.42 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x = -9.42x+3.32 strategic 3 OK add 9.42x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:19:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = -9.42x+3.32+9.42x right 1 OK right 3.32 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:20:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 left 1 ERROR left 3.42x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:20:25.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:20:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 left 2 ERROR left 10.02x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:20:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 left 3 BUG left -10.02x -10.02x is equal to -0.6x minus 9.42x. You need to calculate -0.6x plus 9.42x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:22:52.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:22:52.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 strategic 3 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:22:57.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Type in -0.6x+9.42x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:23:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 left 4 ERROR left -0.6x+9.42 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:23:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 left 5 OK left -0.6x+9.42x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:23:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 strategic 4 OK clt -0.6x+9.42x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 ERROR -10.02 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 ERROR -10.02x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 ERROR 10.02x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:26.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 5 INITIAL_HINT 10.02x In the group above, -0.6x and 9.42x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:30.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 6 INITIAL_HINT 10.02x In the group above, -0.6x and 9.42x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:42.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE The coefficients in [-0.6x]+[9.42x] are -0.6 and 9.42. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:24:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 7 ERROR helppp condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:25:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.6x+9.42x = 3.32 strategic 5 OK clt -0.6x+9.42x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:26:52.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 8 INITIAL_HINT In the group above, -0.6x and 9.42x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:26:53.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 9 INITIAL_HINT In the group above, -0.6x and 9.42x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:26:54.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 4 HINT_LEVEL_CHANGE The coefficients in [-0.6x]+[9.42x] are -0.6 and 9.42. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:26:59.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 5 HINT_LEVEL_CHANGE Combining the like terms -0.6x and 9.42x results in 8.82x HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:27:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 10 OK 8.82x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:27:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.82x = 3.32 strategic 1 OK divide 8.82 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 8.82x/8.82 = 3.32/8.82 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 3.32/8.82 right 1 ERROR right 0.374 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:27:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 3.32/8.82 right 2 OK right 0.3764 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:28:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.75+0.38x = 6.32x+(-4.36) strategic 1 ERROR subtract 4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:29:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.75+0.38x = 6.32x+(-4.36) strategic 2 OK add 4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:29:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.75+0.38x+4.36 = 6.32x+(-4.36)+4.36 left 1 OK left -7.75+0.38x+4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:29:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.75+0.38x+4.36 = 6.32x+(-4.36)+4.36 right 1 OK right 6.32x+(-4.36)+4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.75+0.38x+4.36 = 6.32x-4.36+4.36 strategic 1 OK clt -7.75+0.38x+4.36 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -7.75 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK +0.38x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK 0.38x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK -7.75+4.36 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 ERROR 0.38x+ condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:30:41.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 INITIAL_HINT 0.38x+ Above, you have [0.38x]+[-7.75+4.36]. Enter 0.38x-3.39 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK 0.38x-3.39 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.38x-3.39 = 6.32x-4.36+4.36 strategic 1 OK clt 6.32x-4.36+4.36 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 2 OK 6.32x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 OK -4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 2 OK +4.36 condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 2 OK 6.32x condition 2 cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 2 OK -4.36+4.36 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:27.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 INITIAL_HINT Above, you have [6.32x]+[-4.36+4.36]. Enter 6.32x as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 5 OK 6.32x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.38x-3.39 = 6.32x strategic 1 OK subtract 0.38x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.38x-3.39-0.38x = 6.32x-0.38x right 1 OK right 5.94x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.38x-3.39-0.38x = 5.94x left 1 BUG left 3.39 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.38x-3.39-0.38x = 5.94x left 2 OK left -3.39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.39 = 5.94x strategic 1 BUG divide -3.39 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.39 = 5.94x strategic 2 OK divide 5.94 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:32:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.39/5.94 = 5.94x/5.94 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:33:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.39/5.94 = x left 1 BUG left 0.5707 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:33:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.39/5.94 = x left 2 OK left -0.5707 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I h1009K6 session1 2007-05-04 09:33:14.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.57070707 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I hop791a session0 2007-04-26 08:33:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:36:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A 6416+4203y = 7950 strategic 1 OK answer-check 1534/4203 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:39:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42A 11.54 = 9.57+(-13.63x) strategic 1 OK answer-check -0.1445 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:48:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.06 = -12.22x+2.59 strategic 1 ERROR answer-check -0.3805 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:51:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.06 = -12.22x+2.59 strategic 2 ERROR answer-check 2.679 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:51:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.06 = -12.22x+2.59 strategic 3 ERROR answer-check -0.380523 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:52:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 2.06 = -12.22x+2.59 strategic 4 OK answer-check 0.0434 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 08:55:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -14+(-16x) = -13 strategic 1 OK answer-check -0.0625 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:01:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -38.73 = -13.25y+(-5.65) strategic 1 ERROR answer-check -2.4943 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:06:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -38.73 = -13.25y+(-5.65) strategic 2 OK answer-check 2.496603774 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:08:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1575y+416 = 5447 strategic 1 OK answer-check 3.194285714 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:10:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -50 = 53+(-16x) strategic 1 ERROR answer-check -0.1875 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:12:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -50 = 53+(-16x) strategic 2 ERROR answer-check 6.5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:12:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -50 = 53+(-16x) strategic 3 ERROR answer-check -6.5 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:13:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -50 = 53+(-16x) strategic 4 OK answer-check 6.4375 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:15:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -12.5+(-9.56y) = -9.41 strategic 1 OK answer-check -0.323221757 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:16:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -78y+93 = -58 strategic 1 OK answer-check 1.935897436 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:20:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 1.95+(-6.13y) = 2.85 strategic 1 OK answer-check -0.146818923 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:27:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -1494+(-6893y) = -2875 strategic 1 OK answer-check 0.200348179 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I hop791a session0 2007-04-26 09:28:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 89.13 = 75.92+87.55x strategic 1 OK answer-check 0.150885208 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 08:53:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 461 = 70+295/x strategic 1 ERROR answer-check 1.325423 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 08:56:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 461 = 70+295/x strategic 2 OK answer-check .7545 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:00:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -59 = -88/x+76 strategic 1 OK answer-check .652 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:06:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 555 = -987+717/x strategic 1 ERROR answer-check -0.60251 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:07:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 555 = -987+717/x strategic 2 ERROR answer-check -1.6597222 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:08:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 555 = -987+717/x strategic 3 ERROR answer-check 1.6597222 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:08:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 555 = -987+717/x strategic 4 OK answer-check 239/514 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:15:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 243/y+610 = -478 strategic 1 OK answer-check -0.223 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:20:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 923/x+111 = -151 strategic 1 OK answer-check -3.52290 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:24:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 23 = 51+(-32/y) strategic 1 OK answer-check 1.14 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:27:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -799 = 955+(-603/x) strategic 1 ERROR answer-check -0.34 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:28:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -799 = 955+(-603/x) strategic 2 ERROR answer-check -0.343786 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I hop791a session1 2007-05-03 09:34:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -799 = 955+(-603/x) strategic 3 OK answer-check 0.34379 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:37:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:37:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A -8040 = -7970+(-2409y) strategic 1 OK answer-check 70/2409 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:38:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -8.85x+(-12.82) = -8.41 strategic 1 OK answer-check -.4983 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:40:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -50 = 30y+(-40) strategic 1 OK answer-check -10/30 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:43:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -11.33 = -12.06+(-2.83x) strategic 1 OK answer-check -.2579505 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:48:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.32+(-7.75y) = 9.18 strategic 1 ERROR answer-check 1.3548 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:48:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.32+(-7.75y) = 9.18 strategic 2 ERROR answer-check 10.5/7.75 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:53:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -1.32+(-7.75y) = 9.18 strategic 3 OK answer-check -1.3548 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 08:59:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1742+8127y = 9161 strategic 1 OK answer-check .91288 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:02:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -8.02 = -11.13+12.93y strategic 1 OK answer-check .2405 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:04:25.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -81 = -28+89y strategic 1 ERROR answer-check .5955 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:04:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -81 = -28+89y strategic 2 OK answer-check -.5955 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:07:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B 9.01 = -12.04y+(-5.45) strategic 1 OK answer-check -1.2009 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:10:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -5.51 = 11.04+14.71y strategic 1 ERROR answer-check .3795 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:10:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -5.51 = 11.04+14.71y strategic 2 ERROR answer-check -.3795 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:11:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -5.51 = 11.04+14.71y strategic 3 ERROR answer-check -.3759 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:12:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42A -5.51 = 11.04+14.71y strategic 4 OK answer-check -1.1251 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:16:12.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 7010 = 1162x+(-5494) strategic 1 OK answer-check 10.7607 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:18:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.28+3.47y = -10.14 strategic 1 ERROR answer-check -.8242 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:19:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.28+3.47y = -10.14 strategic 2 ERROR answer-check .8242 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:24:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 7.28+3.47y = -10.14 strategic 3 OK answer-check -5.0201 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:25:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 4512x+3836 = 83 strategic 1 OK answer-check -.8317 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:27:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -1116+8154x = 7590 strategic 1 OK answer-check 1.0676 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:28:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -402 = -855/x+(-324) strategic 1 OK answer-check 285/26 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:28:23.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -80 = 57/x+(-20) strategic 1 ERROR answer-check 35/18 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:32:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -80 = 57/x+(-20) strategic 2 OK answer-check -.95 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session0 2007-04-26 09:35:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -395 = 274/x+(-190) strategic 1 OK answer-check -1.3365 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:33:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 974 = 452+(-400/x) strategic 1 OK answer-check -.76628 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:37:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -97+55/y = -61 strategic 1 OK answer-check 1.52777 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:44:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59A -407 = 121+608/x strategic 1 OK answer-check -1.15151515151 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:45:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 -46 = 6+60/x strategic 1 OK answer-check -1.1538 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:46:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-4 EG59 27 = -77+(-75/y) strategic 1 OK answer-check -.7211 condition 4 Remove variable from denominator, type-in. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:46:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5a EG60 9x+(-3) = -10+3x strategic 1 OK answer-check -7/6 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:49:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 0+7y = -5y+1 strategic 1 ERROR answer-check 1/14 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:51:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 0+7y = -5y+1 strategic 2 OK answer-check 1/12 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:52:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 -7x+(-8) = 4+4x strategic 1 OK answer-check 12/-11 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:55:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 4+7y = -10y+(-7) strategic 1 OK answer-check -11/17 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:56:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-5 EG60 0+9y = -5+7y strategic 1 OK answer-check -5/2 condition 4 Consolidate variarbles, integers<10. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 08:59:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 3+(-1y) = 0+4y strategic 1 OK answer-check -3/-5 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:00:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 1 ERROR answer-check 1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:00:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 2 ERROR answer-check 1/x condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:02:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 3 ERROR answer-check 1/1 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:02:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 4 ERROR answer-check x condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:03:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 5 ERROR answer-check 0 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:03:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7x+2 = 7x+3 strategic 6 ERROR answer-check 0x condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:08:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 7y+3 = 4+(-4y) strategic 1 OK answer-check 1/11 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:10:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-6 EG60 2y+(-9) = -2y+(-8) strategic 1 OK answer-check 1/4 condition 4 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:10:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7a EG61 -6.11+(-9.97x) = -0.28+(-2.7x) strategic 1 OK answer-check -.8019 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I i0PeR6q session1 2007-05-03 09:18:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-7 EG61 -6.22y+9.19 = -2.12y+(-9.15) strategic 1 ERROR answer-check -.0097 condition 4 Consolidate variables, decimal. cwctc 247s1e7g2s--1--Alg I i3xTv15 session87 2007-03-22 14:24:23.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:24:31.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:24:46.0 CYCLE CYCLE ES_05 ES_05-1 EG43 55x+(-45) = -2 strategic 1 OK subtract -45 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:24:50.0 CYCLE CYCLE ES_05 ES_05-1 EG43 55x = 43 strategic 1 OK divide 55 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:15.0 CYCLE CYCLE ES_05 ES_05-1 EG42 96.69 = -80.47+75.68x strategic 1 OK subtract -80.47 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:24.0 CYCLE CYCLE ES_05 ES_05-1 EG42 177.16 = 75.68x strategic 1 OK divide 75.68 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43 94+(-91x) = -92 strategic 1 OK subtract 94 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43 94+(-91x)-94 = -92-94 left 1 OK left -91x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -91x = -92-94 right 1 OK right -92-94 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:25:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -91x = -92-94 strategic 1 OK clt -92-94 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 1 OK -186 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -91x = -186 strategic 1 OK divide -91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -91x/-91 = -186/-91 left 1 ERROR left z condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:37.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -91x/-91 = -186/-91 left 2 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:43.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = -186/-91 right 1 OK right -186/-91 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:26:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43 x = -186/-91 strategic 1 OK rf -186/-91 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:27:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 2 BUG -2.04 -2.04
Check the sign of your answer. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:27:18.0 CYCLE CYCLE ES_05 ES_05-2 EG43 FinalAnswer strategic 3 OK 2.04 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:27:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.64+2.51y = -2.09 strategic 1 OK subtract -6.64 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:27:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42B -6.64+2.51y-(-6.64) = -2.09-(-6.64) left 1 OK left 2.51y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:28:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y = -2.09-(-6.64) right 1 BUG right -8.73 -8.73 is equal to -2.09 plus -6.64. You need to calculate -2.09 minus -6.64. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:28:20.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y = -2.09-(-6.64) right 2 BUG right 8.73 8.73 is equal to 2.09 minus -6.64. You need to calculate -2.09 minus -6.64. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:28:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y = -2.09-(-6.64) right 3 BUG right -8.73 -8.73 is equal to -2.09 plus -6.64. You need to calculate -2.09 minus -6.64. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:01.0 HINT HINT ES_05 ES_05-2 EG42B 2.51y = -2.09-(-6.64) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:03.0 HINT HINT ES_05 ES_05-2 EG42B null strategic 1 HINT_LEVEL_CHANGE Type in -2.09-(-6.64) on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y = -2.09-(-6.64) right 4 OK right -2.09-(-6.64) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y = -2.09+6.64 strategic 1 OK divide 2.51 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42B 2.51y/2.51 = (-2.09+6.64)/2.51 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:47.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = (-2.09+6.64)/2.51 right 1 OK right (-2.09+6.64)/(2.51) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session87 2007-03-22 14:29:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = (-2.09+6.64)/2.51 strategic 1 OK rf (-2.09+6.64)/2.51 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:47:15.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = (-2.09+6.64)/2.51 strategic 1 OK clt -2.09+6.64 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:47:42.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = (-2.09+6.64)/2.51 strategic 2 OK clt -2.09+6.64 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:47:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 ERROR -202.36 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:51:03.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = (-2.09+6.64)/2.51 strategic 1 OK clt -2.09+6.64 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:51:05.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 OK 4.55 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:51:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 4.55/2.51 strategic 1 OK rf 4.55/2.51 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session88 2007-03-23 11:51:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 2 OK 4.55/2.51 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:53:25.0 HINT HINT ES_05 ES_05-2 EG42B y = 4.55/2.51 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:53:26.0 HINT HINT ES_05 ES_05-2 EG42B null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:53:30.0 CYCLE CYCLE ES_05 ES_05-2 EG42B y = 4.55/2.51 strategic 2 OK rf 4.55/2.51 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:54:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42B FinalAnswer strategic 1 OK 1.81 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:54:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42 15.39x+50.98 = -83.77 strategic 1 OK subtract 50.98 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:54:30.0 CYCLE CYCLE ES_05 ES_05-2 EG42 15.39x+50.98-50.98 = -83.77-50.98 left 1 OK left 15.39x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:54:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42 15.39x = -83.77-50.98 right 1 OK right -134.75 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:55:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42 15.39x = -134.75 strategic 1 OK divide 15.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:55:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42 15.39x/15.39 = -134.75/15.39 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:55:25.0 CYCLE CYCLE ES_05 ES_05-2 EG42 x = -134.75/15.39 right 1 BUG right --134.75/15.39 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:55:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42 x = -134.75/15.39 right 2 ERROR right -8.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:55:58.0 CYCLE CYCLE ES_05 ES_05-2 EG42 x = -134.75/15.39 right 3 OK right -8.755 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:56:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7130 = 6754x+484 strategic 1 OK subtract 484 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:56:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7130-484 = 6754x+484-484 right 1 OK right 6754x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:56:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7130-484 = 6754x left 1 OK left -7614 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:56:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614 = 6754x strategic 1 ERROR divide 6745 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:56:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614 = 6754x strategic 2 OK divide 6754 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:57:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614/6754 = 6754x/6754 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:57:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614/6754 = x left 1 ERROR left -1127 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:57:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614/6754 = x left 2 ERROR left -112 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614/6754 = x left 3 ERROR left -1.12 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -7614/6754 = x left 4 OK left -1.127 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:40.0 HINT HINT ES_05 ES_05-3 EG59 -62+(-38/y) = -93 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:44.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -62+(-38/y) = -93 strategic 2 OK rds -62+(-38/y) = -93 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:47.0 HINT HINT ES_05 ES_05-3 EG59 -62-38/y = -93 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:48.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -62 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -62 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:58:53.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE You can add 62 to both sides of the equation to eliminate the constant value of -62 (-62 + 62 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:02.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -62-38/y = -93 strategic 2 OK add 62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:16.0 HINT HINT ES_05 ES_05-3 EG59 -38/y = -31 strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:20.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 3 HINT_LEVEL_CHANGE -38/y is -38 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:25.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -38/y = -31 strategic 2 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -38 = -31y strategic 1 OK divide -31 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 13:59:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38/31 = y strategic 1 BUG rf 38/31 = y strategic You already solved the equation. y is 38/31. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:00:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 261/y+(-161) = -365 strategic 1 OK rds 261/y+(-161) = -365 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:00:27.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 261/y-161 = -365 strategic 1 OK add 161 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:00:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 261/y = -204 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:00:54.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 261 = -204y strategic 1 OK divide -204 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -5/y+6 = 58 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:33.0 HINT HINT ES_05 ES_05-3 EG59 -5/y = 52 strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:34.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 1 HINT_LEVEL_CHANGE -5/y is -5 divided by y. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:39.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -5/y = 52 strategic 2 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:41.0 HINT HINT ES_05 ES_05-3 EG59 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:47.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -5/y = 52 strategic 3 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:01:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -5 = 52y strategic 1 OK divide 52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38/y+(-20) = 47 strategic 1 OK rds 38/y+(-20) = 47 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38/y-20 = 47 strategic 1 OK add 20 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:17.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38/y = 67 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59 38 = 67y strategic 1 OK divide 67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -10 = 49+98/y strategic 1 OK subtract 49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:02:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -59 = 98/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:03.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -59y = 98 strategic 1 OK divide -59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47 = 80/x+99 strategic 1 OK subtract 99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47-99 = 80/x+99-99 right 1 OK right 80/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 47-99 = 80/x left 1 OK left -52 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -52 = 80/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -52x = 80/x*x right 1 OK right 80 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -52x = 80 left 1 OK left -52x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:03:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -52x = 80 strategic 1 OK divide -52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -52x/-52 = 80/-52 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 80/-52 right 1 ERROR right 28 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 80/-52 right 2 ERROR right -28 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 80/-52 right 3 ERROR right 28 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 80/-52 right 4 OK right 80/-52 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:04:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 80/-52 strategic 1 OK rf 80/-52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:01.0 HINT HINT ES_05 ES_05-4 EG59 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:02.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 80 and denominator -52? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:06.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 2 HINT_LEVEL_CHANGE -4 will go into both 80 and -52 and is the most appropriate common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row2constant factors strategic 2 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 1 ERROR 76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:50.0 HINT HINT ES_05 ES_05-4 EG59 row3-N-constant factors strategic 2 INITIAL_HINT 76 The common factor between the numerator and denominator of [80]/[-52] is -4. This set of entry boxes represent the simplified form of [80]/[-52]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:51.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:05:54.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 80, by -4, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:06:10.0 HINT HINT ES_05 ES_05-4 EG59 null strategic 5 HINT_LEVEL_CHANGE Type -20. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:06:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-N-constant factors strategic 3 OK -20 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:06:25.0 HINT HINT ES_05 ES_05-4 EG59 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [80]/[-52] is -4. This set of entry boxes represent the simplified form of [80]/[-52]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 2 BUG -13 -13
Check the sign of your answer. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59 row3-D-constant factors strategic 3 OK 13 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 FinalAnswer strategic 1 OK -20/13 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x+(-300) = -213 strategic 1 OK rds 775/x+(-300) = -213 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x-300 = -213 strategic 1 OK add 300 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:07:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x-300+300 = -213+300 left 1 OK left 775/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:04.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x = -213+300 right 1 OK right 87 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:09.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x = 87 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/x*x = 87x left 1 OK left 775 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775 = 87x right 1 OK right 87x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775 = 87x strategic 1 OK divide 87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:28.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/87 = 87x/87 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 775/87 = x left 1 OK left 8.908 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:08:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 8.90804598 = x strategic 1 BUG distribute 8.90804598 = x strategic You already solved the equation. x is 8.908. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:09:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432 = 530+(-189/x) strategic 1 OK rds -432 = 530+(-189/x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:09:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432 = 530-189/x strategic 1 BUG add 530 Since 530 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 530 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:09:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432 = 530-189/x strategic 2 OK subtract 530 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:09:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432-530 = 530-189/x-530 right 1 BUG right 189/x You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:09:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432-530 = 530-189/x-530 right 2 OK right -189/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -432-530 = -189/x left 1 OK left -962 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:12.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -962 = -189/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -962x = -189/x*x right 1 OK right -189 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -962x = -189 left 1 OK left -962x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -962x = -189 strategic 1 OK divide -962 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:10:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -962x/-962 = -189/-962 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:11:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -189/-962 right 1 ERROR right -0.194 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:11:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -189/-962 right 2 BUG right -0.196 You are dividing a negative by a negative. The result should be positive. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:11:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A x = -189/-962 right 3 OK right 0.196 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:11:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+7 = -8+(-9y) strategic 1 OK rds 6y+7 = -8+(-9y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+7 = -8-9y strategic 1 ERROR add 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:05.0 HINT HINT ES_05 ES_05-5 EG60 6y+7 = -8-9y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:07.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 9y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:10.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 9y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+7 = -8-9y strategic 3 OK add 9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y+7 = -8 strategic 1 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:30.0 CYCLE CYCLE ES_05 ES_05-5 EG60 15y = -15 strategic 1 OK divide 15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6+(-3x) = -6+7x strategic 1 OK rds -6+(-3x) = -6+7x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-3x = -6+7x strategic 1 OK subtract 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:12:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-10x = -6 strategic 1 BUG add -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-10x = -6 strategic 2 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10x = 0 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+(-5x) = -5+(-3x) strategic 1 OK rds 4+(-5x) = -5+(-3x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4-5x = -5-3x strategic 1 OK add 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4-2x = -5 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4-2x = -5 strategic 2 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x = -9 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+7y = 4y+3 strategic 1 OK subtract 4y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+3y = 3 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:13:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3y = -1 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4+(-10x) = -6x+7 strategic 1 OK rds 4+(-10x) = -6x+7 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x = -6x+7 strategic 1 OK subtract -6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x-(-6x) = -6x+7-(-6x) left 1 OK left 4-10x-(-6x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x = -6x+7-(-6x) right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x = 7 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:14:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x = 7 strategic 2 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x-4 = 7-4 left 1 ERROR left 10x+6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x-4 = 7-4 left 2 ERROR left (10x)+(6x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x-4 = 7-4 right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:32.0 HINT HINT ES_05 ES_05-6 EG60 4-10x+6x-4 = 3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 4-10x+6x-4 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x-4 = 3 left 1 OK left 4-10x+6x-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4-10x+6x-4 = 3 strategic 2 OK clt 4-10x+6x-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG  10x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:15:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 OK -10x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG +6x +6x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG +6x +6x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 BUG -10x -10x
Perhaps you should fill in all the x terms above. BUG condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 BUG +6x +6x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:16:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK -10x+6x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 4-4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 ERROR (-10x+6x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK (-10x+6x) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10x+6x = 3 strategic 1 ERROR rds -10x+6x = 3 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:39.0 HINT HINT ES_05 ES_05-6 EG60 -10x+6x = 3 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:40.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10x+6x = 3 strategic 3 OK clt -10x+6x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -4x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:17:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = 3 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x/-4 = 3/-4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 3/-4 right 1 OK right 3/-4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 3/-4 strategic 1 OK rf 3/-4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR -1.33 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 ERROR 1. condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:36.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 7 INITIAL_HINT 1. In the above expression you have 3/-4. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 ERROR 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -4 into 3. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:18:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 9 ERROR -1.333 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:02.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type -3/4. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 10 OK -3/4 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:11.0 HINT HINT ES_05 ES_05-6 EG60 x = -3/4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:13.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2+(-3y) = -6y+7 strategic 1 OK rds -2+(-3y) = -6y+7 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-3y = -6y+7 strategic 1 OK subtract 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-3y-7 = -6y+7-7 right 1 OK right -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-3y-7 = -6y left 1 OK left -2-3y-7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:19:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -2-3y-7 = -6y strategic 1 OK clt -2-3y-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG  3y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  2 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -7-2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK (-3y)+(-7-2) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:20:59.0 HINT HINT ES_05 ES_05-6 EG60 -3y-7-2 = -6y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:01.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-7-2 = -6y strategic 2 OK clt -3y-7-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 4 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 2 OK -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK (-3y)+(-9) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:21:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 1 ERROR add 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 2 BUG subtract 9 Since -9 is negative, you should add to remove it from the both side. Erase your last step and add 9 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 3 ERROR add 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 4 ERROR add 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9+9 = -6y+9 left 1 OK left -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y = -6y+9 right 1 OK right -6y+9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y = -6y+9 strategic 1 ERROR subtract 9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:51.0 HINT HINT ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 3y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:22:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 3y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9 = -6y strategic 6 OK add 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3y-9+3y = -6y+3y left 1 OK left -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = -6y+3y right 1 OK right -6y+3y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = -6y+3y strategic 1 OK clt -6y+3y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/-3 = -3y/-3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/-3 = y left 1 OK left -9/-3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:49.0 HINT HINT ES_05 ES_05-6 EG60 -9/-3 = y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:51.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/-3 = y strategic 2 OK rf -9/-3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:23:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK -9/-3 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:02.0 HINT HINT ES_05 ES_05-6 EG60 -9/-3 = y strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9/-3 = y strategic 4 OK rf -9/-3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:11.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT In the above expression you have -9/-3. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE To simplify, divide -3 into -9. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 ERROR -0.33 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK 3 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:30.0 HINT HINT ES_05 ES_05-6 EG60 3 = y strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:31.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 7 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:24:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4 = -8+(-10x) strategic 1 OK rds -3x+4 = -8+(-10x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4 = -8-10x strategic 1 OK subtract -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4-(-8) = -8-10x-(-8) right 1 OK right -10x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4-(-8) = -10x left 1 OK left -3x+4-(-8) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+4+8 = -10x strategic 1 OK clt -3x+4+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK -3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 12 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:25:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK (-3x)+(12) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+12 = -10x strategic 1 ERROR subtract 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:10.0 HINT HINT ES_05 ES_05-6 EG60 -3x+12 = -10x strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:12.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -3x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -3x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+12 = -10x strategic 3 OK subtract -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3x+12-(-3x) = -10x-(-3x) left 1 OK left 12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:26:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12 = -10x-(-3x) right 1 ERROR right -13 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12 = -10x-(-3x) right 2 OK right -10x-(-3x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12 = -10x+3x strategic 1 OK clt -10x+3x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR -13x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK -7x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12 = -7x strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12/-7 = -7x/-7 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12/-7 = x left 1 OK left 12/-7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12/-7 = x strategic 1 OK rf 12/-7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:27:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 OK 12/-7 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:04.0 HINT HINT ES_05 ES_05-6 EG60 12/-7 = x strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:09.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 12/-7 = x strategic 3 OK rf 12/-7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 5 ERROR 5 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 ERROR -5 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:31.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 7 INITIAL_HINT -5 In the above expression you have 12/-7. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:33.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -7 into 12. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:37.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Type -12/7. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 8 OK -12/7 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session89 2007-03-23 14:28:49.0 HINT HINT ES_05 ES_05-6 EG60 -12/7 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:32:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.45+4.55y = 0.4+(-6.43y) strategic 1 OK rds 5.45+4.55y = 0.4+(-6.43y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:32:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.45+4.55y = 0.4-6.43y strategic 1 ERROR add 0.4 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:32:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.45+4.55y = 0.4-6.43y strategic 2 OK subtract 0.4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:32:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.05+4.55y = -6.43y strategic 1 ERROR subtract 5.05 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:33:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.05+4.55y = -6.43y strategic 2 BUG add 5.05 Since 5.05 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 5.05 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:33:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.05+4.55y = -6.43y strategic 3 ERROR subtract 5.05 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:33:49.0 HINT HINT ES_05 ES_05-7 EG61 5.05+4.55y = -6.43y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:33:52.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.55y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:33:59.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.55y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:34:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.05+4.55y = -6.43y strategic 5 OK subtract 4.55y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:34:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.05 = -10.98y strategic 1 OK divide -10.98 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:34:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x+(-5.52) = 0.58x+(-0.68) strategic 1 OK rds -5.85x+(-5.52) = 0.58x+(-0.68) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:34:58.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x-5.52 = 0.58x-0.68 strategic 1 OK subtract -0.68 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:35:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x-4.84 = 0.58x strategic 1 ERROR add 4.84 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:35:24.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x-4.84 = 0.58x strategic 2 BUG add -4.84 To remove -4.84 from the left side, you can add a positive to it. Erase your last step and add 4.84 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:35:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x-4.84 = 0.58x strategic 3 ERROR add 4.84 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:35:57.0 HINT HINT ES_05 ES_05-7 EG61 -5.85x-4.84 = 0.58x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:35:58.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 5.85x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:36:03.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 5.85x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:36:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x-4.84 = 0.58x strategic 5 OK add 5.85x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:36:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.84 = 6.43x strategic 1 OK divide 6.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:36:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.31x+(-7.57) = -0.92x+1.55 strategic 1 OK rds 7.31x+(-7.57) = -0.92x+1.55 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:37:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.31x-7.57 = -0.92x+1.55 strategic 1 OK subtract -0.92x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:37:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.23x-7.57 = 1.55 strategic 1 OK add 7.57 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:37:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.23x = 9.12 strategic 1 OK divide 8.23 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:37:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.85x+5.01 = 7.8+2.69x strategic 1 OK subtract 2.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:38:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.54x+5.01 = 7.8 strategic 1 OK subtract 5.01 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:38:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -8.54x = 2.79 strategic 1 OK divide -8.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:39:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.89x+(-2.57) = 3.2+(-4.71x) strategic 1 OK rds 7.89x+(-2.57) = 3.2+(-4.71x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:39:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 7.89x-2.57 = 3.2-4.71x strategic 1 OK add 4.71x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:39:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 12.6x-2.57 = 3.2 strategic 1 ERROR add 5.57 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:39:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 12.6x-2.57 = 3.2 strategic 2 OK add 2.57 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:39:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 12.6x = 5.77 strategic 1 OK divide 12.6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:40:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29 = 1.98+(-1.01x) strategic 1 OK rds -7.65x+1.29 = 1.98+(-1.01x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:40:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29 = 1.98-1.01x strategic 1 OK add 1.01x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:40:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29+1.01x = 1.98-1.01x+1.01x right 1 OK right 1.98 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:40:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29+1.01x = 1.98 left 1 OK left -7.65x+1.29+1.01x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:40:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29+1.01x = 1.98 strategic 1 OK subtract 1.29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:41:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.29+1.01x-1.29 = 1.98-1.29 left 1 OK left -7.65x+1.01x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:42:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.01x = 1.98-1.29 right 1 OK right 0.69 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:42:16.0 HINT HINT ES_05 ES_05-8 EG61 -7.65x+1.01x = 0.69 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:42:18.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:42:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.01x = 0.69 strategic 2 OK clt -7.65x+1.01x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:42:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR -15.3x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:43:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK -7.65x+1.01x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:43:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.65x+1.01x = 0.69 strategic 3 OK clt -7.65x+1.01x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:44:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK -6.64x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:44:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.64x = 0.69 strategic 1 OK divide -6.64 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:44:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.64x/-6.64 = 0.69/-6.64 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:44:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 0.69/-6.64 right 1 OK right 0.69/-6.64 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session90 2007-03-23 19:44:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 0.69/-6.64 strategic 1 OK rf 0.69/-6.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:15:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y = -1.73+(-2.89y) strategic 1 OK rds 8.53+8.1y = -1.73+(-2.89y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:15:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y = -1.73-2.89y strategic 1 OK subtract -1.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:15:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y-(-1.73) = -1.73-2.89y-(-1.73) right 1 BUG right 2.89y You forgot the negative sign. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:15:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y-(-1.73) = -1.73-2.89y-(-1.73) right 2 OK right -2.89y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:15:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y-(-1.73) = -2.89y left 1 OK left 8.53+8.1y-(-1.73) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y+1.73 = -2.89y strategic 1 BUG subtract 8.53 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.53+8.1y+1.73 = -2.89y strategic 2 OK clt 8.53+8.1y+1.73 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK +8.1y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +1.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 8.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 ERROR 801y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK 8.1y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:16:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 10.26 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (8.1y)+(10.26) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.1y+10.26 = -2.89y strategic 1 ERROR subtract 10.26 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.1y+10.26 = -2.89y strategic 2 ERROR rds 8.1y+10.26 = -2.89y strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:33.0 HINT HINT ES_05 ES_05-8 EG61 8.1y+10.26 = -2.89y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:35.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.1y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:39.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.1y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.1y+10.26 = -2.89y strategic 4 OK subtract 8.1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:17:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.1y+10.26-8.1y = -2.89y-8.1y left 1 OK left 10.26 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26 = -2.89y-8.1y right 1 ERROR right -10.88y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26 = -2.89y-8.1y right 2 OK right -10.99y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26 = -10.99y strategic 1 OK divide -10.99 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26/-10.99 = -10.99y/-10.99 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26/-10.99 = y left 1 OK left 10.26/-10.99 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:18:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 10.26/-10.99 = y strategic 1 OK rf 10.26/-10.99 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 ERROR -0.73 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR 0.73 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:12.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 4 INITIAL_HINT 0.73 In the above expression you have 10.26/-10.99. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:14.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -10.99 into 10.26. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR -1.071 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 ERROR 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:47.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Type -0.93357598. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:19:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 OK -0.9336 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x+(-5.2) = 9.09+(-1.65x) strategic 1 OK rds 0.47x+(-5.2) = 9.09+(-1.65x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2 = 9.09-1.65x strategic 1 ERROR add 9.09 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2 = 9.09-1.65x strategic 2 ERROR add -90.9 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2 = 9.09-1.65x strategic 3 ERROR add 9.09 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2 = 9.09-1.65x strategic 4 OK add -9.09 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:20:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2+(-9.09) = 9.09-1.65x+(-9.09) right 1 OK right -1.65x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2+(-9.09) = -1.65x left 1 OK left 0.47x-5.2+(-9.09) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2-9.09 = -1.65x strategic 1 BUG add 5.2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-5.2-9.09 = -1.65x strategic 2 OK clt 0.47x-5.2-9.09 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK 0.47x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -5.2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -9.09 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 ERROR 0.47 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 OK 0.47x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:21:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -5.2-9.09 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR (0.47x)+(-14.29 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (0.47x)+(-14.29) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-14.29 = -1.65x strategic 1 ERROR add 0.47x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-14.29 = -1.65x strategic 2 ERROR add 0.47 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:38.0 HINT HINT ES_05 ES_05-8 EG61 0.47x-14.29 = -1.65x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:39.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 0.47x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:43.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 0.47x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-14.29 = -1.65x strategic 4 OK subtract 0.47x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:22:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-14.29-0.47x = -1.65x-0.47x left 1 BUG left 14.29 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.47x-14.29-0.47x = -1.65x-0.47x left 2 OK left -14.29 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -14.29 = -1.65x-0.47x right 1 OK right -2.12x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -14.29 = -2.12x strategic 1 OK divide -2.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -14.29/-2.12 = -2.12x/-2.12 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -14.29/-2.12 = x left 1 OK left -14.29/-2.12 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:23:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -14.29/-2.12 = x strategic 1 OK rf -14.29/-2.12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR -0.1483 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 ERROR -0.14835 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR -0.148 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:20.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 6 INITIAL_HINT -0.148 In the above expression you have -14.29/-2.12. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:22.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -2.12 into -14.29. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 ERROR 7 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 8 ERROR 12.17 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:24:59.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Type 6.74056604. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session91 2007-03-27 10:25:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 9 OK 6.7406 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:16:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68 = 5.61y+(-3.94) strategic 1 OK rds -4.37y+2.68 = 5.61y+(-3.94) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68 = 5.61y-3.94 strategic 1 BUG add -3.94 To remove -3.94 from the right side, you can add a positive to it. Erase your last step and add 3.94 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68 = 5.61y-3.94 strategic 2 OK add 3.94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68+3.94 = 5.61y-3.94+3.94 right 1 OK right 5.61y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68+3.94 = 5.61y left 1 OK left -4.37y+2.68+3.94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+2.68+3.94 = 5.61y strategic 1 OK clt -4.37y+2.68+3.94 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 BUG  4.37y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK -4.37y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:17:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +2.68 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:18:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:18:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 2 OK +3.94 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:18:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 ERROR -4.37 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:18:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK -4.37y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:18:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 6.62 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (-4.37y)+(6.62) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+6.62 = 5.61y strategic 1 OK subtract 5.61y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:30.0 HINT HINT ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:33.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -4.37y+6.62-5.61y on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:19:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y left 1 OK left -4.37y+6.62-5.61y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y right 2 OK right 5.61y-5.61y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:12.0 HINT HINT ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:13.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.37y+6.62-5.61y = 5.61y-5.61y strategic 3 OK clt -4.37y+6.62-5.61y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 3 BUG  4.37y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 4 OK -4.37y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK +6.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 BUG  5.61y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 2 OK -5.61y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:20:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK 6.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 3 OK -9.98y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK ( -9.98y)+(6.62) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y+6.62 = 5.61y-5.61y strategic 1 OK clt 5.61y-5.61y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:35.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 4 INITIAL_HINT y In the group above, 5.61y and -5.61y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:38.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE The coefficients in [5.61y]+[-5.61y] are 5.61 and -5.61. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:42.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Combining the like terms 5.61y and -5.61y results in 0 HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:21:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y+6.62 = 0 strategic 1 OK subtract 6.62 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y+6.62-6.62 = 0-6.62 left 1 BUG left -9.98y+6.62 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y+6.62-6.62 = 0-6.62 left 2 OK left -9.98y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y = 0-6.62 right 1 OK right 0-6.62 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y = 0-6.62 strategic 1 OK unnec-elems -9.98y=0-6.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y = -6.62 strategic 1 OK divide -9.98 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:22:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -9.98y/-9.98 = -6.62/-9.98 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -6.62/-9.98 right 1 OK right -6.62/-9.98 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -6.62/-9.98 strategic 1 OK rf -6.62/-9.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 ERROR -16.6 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 ERROR -1.507 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 8 ERROR -1.5075 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:53.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 9 INITIAL_HINT -1.5075 In the above expression you have -6.62/-9.98. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:23:56.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -9.98 into -6.62. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:24:08.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 6 HINT_LEVEL_CHANGE Type 0.66332665. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:24:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 10 OK 0.6633 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:24:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+6.91 = -7.2+0.08y strategic 1 OK subtract -7.2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:24:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+6.91-(-7.2) = -7.2+0.08y-(-7.2) right 1 OK right 0.08y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+6.91-(-7.2) = 0.08y left 1 OK left 5.19y+6.91-(-7.2) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+6.91+7.2 = 0.08y strategic 1 BUG subtract 6.91 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+6.91+7.2 = 0.08y strategic 2 OK clt 5.19y+6.91+7.2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 5.19y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +6.91 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +7.2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:25:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 5.19y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:26:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 14.11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:26:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (5.19y)+(14.11) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:26:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+14.11 = 0.08y strategic 1 ERROR add 0.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:26:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+14.11 = 0.08y strategic 2 OK subtract 0.08y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:26:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+14.11-0.08y = 0.08y-0.08y right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+14.11-0.08y = 0 left 1 OK left 5.19y+14.11-0.08y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.19y+14.11-0.08y = 0 strategic 1 OK clt 5.19y+14.11-0.08y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK 5.19y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK +14.11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 BUG  0.08y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 2 OK -0.08y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:27:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK 14.11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK 5.11y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (5.11y)+(14.11) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y+14.11 = 0 strategic 1 OK subtract 14.11 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y+14.11-14.11 = 0-14.11 left 1 OK left 5.11y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y = 0-14.11 right 1 BUG right 14.11 14.11 is equal to 0 plus 14.11. You need to calculate 0 minus 14.11. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y = 0-14.11 right 2 OK right -14.11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y = -14.11 strategic 1 OK divide 5.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:28:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.11y/5.11 = -14.11/5.11 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -14.11/5.11 right 1 BUG right 14.11/5.11 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -14.11/5.11 right 2 OK right -14.11/5.11 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -14.11/5.11 strategic 1 OK rf -14.11/5.11 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR 2524 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:47.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 4 INITIAL_HINT 2524 In the above expression you have -14.11/5.11. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:29:49.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide 5.11 into -14.11. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:30:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR -9 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:30:05.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Type -2.76125245. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:30:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 OK -2.7613 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session92 2007-03-27 11:30:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y = -7.63y+(-6.52) strategic 1 OK rds -4.3+8.22y = -7.63y+(-6.52) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:47:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y = -7.63y-6.52 strategic 1 BUG add -6.52 To remove -6.52 from the right side, you can add a positive to it. Erase your last step and add 6.52 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y = -7.63y-6.52 strategic 2 OK add 6.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y+6.52 = -7.63y-6.52+6.52 right 1 ERROR right -7.36y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y+6.52 = -7.63y-6.52+6.52 right 2 OK right -7.63y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y+6.52 = -7.63y left 1 OK left -4.3+8.22y+6.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y+6.52 = -7.63y strategic 1 BUG subtract 6.52 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.3+8.22y+6.52 = -7.63y strategic 2 OK clt -4.3+8.22y+6.52 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK +8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -4.3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:48:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +6.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:49:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:49:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 ERROR 2.22y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:49:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 ERROR -2.22y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:49:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 3 OK -4.3+6.52 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:50:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR (8.22y)+-4.3+6.52) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:50:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (8.22y)+(-4.3+6.52) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:50:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-4.3+6.52 = -7.63y strategic 1 BUG subtract 4.3 Since -4.3 is negative, you should add to remove it from the both side. Erase your last step and add 4.3 to both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:50:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-4.3+6.52 = -7.63y strategic 2 BUG add -4.3 To remove -4.3 from the left side, you can add a positive to it. Erase your last step and add 4.3 to both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:50:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-4.3+6.52 = -7.63y strategic 3 BUG add 4.3 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-4.3+6.52 = -7.63y strategic 4 OK clt 8.22y-4.3+6.52 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 BUG  4.3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 3 BUG  4.3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 2 OK +6.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 4 BUG  4.3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 5 OK -4.3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:51:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 4 OK 6.52-4.3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK (8.22y)+(6.52-4.3) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+6.52-4.3 = -7.63y strategic 1 BUG add 4.3 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+6.52-4.3 = -7.63y strategic 2 OK clt 8.22y+6.52-4.3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 3 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 6 OK +6.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 3 OK -4.3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:52:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 3 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:53:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 5 OK 2.22 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:53:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 OK (8.22y)+(2.22) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:53:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+2.22 = -7.63y strategic 1 OK subtract -7.63y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:53:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+2.22-(-7.63y) = -7.63y-(-7.63y) right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session93 2007-03-27 11:53:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+2.22-(-7.63y) = 0 left 1 OK left 8.22y+2.22-(-7.63y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:36:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+2.22+7.63y = 0 strategic 1 OK clt 8.22y+2.22+7.63y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 OK +7.63y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +2.22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 2.22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 15.85y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (15.85y)+(2.22) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y+2.22 = 0 strategic 1 OK subtract 2.22 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:37:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y+2.22-2.22 = 0-2.22 left 1 OK left 15.85y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y = 0-2.22 right 1 ERROR right -0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y = 0-2.22 right 2 BUG right 2.22 2.22 is equal to 0 plus 2.22. You need to calculate 0 minus 2.22. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y = 0-2.22 right 3 OK right -2.22 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y = -2.22 strategic 1 OK divide 15.85 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 15.85y/15.85 = -2.22/15.85 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -2.22/15.85 right 1 OK right -2.22/15.85 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:38:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = -2.22/15.85 strategic 1 OK rf -2.22/15.85 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 ERROR -7.1396 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR -7.139 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 ERROR -7.1396 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR -7.13963 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:24.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 6 INITIAL_HINT -7.13963 In the above expression you have -2.22/15.85. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:26.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide 15.85 into -2.22. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 ERROR 13.63 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 8 ERROR -13.63 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:39:55.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Type -0.14006309. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 9 OK -0.1401 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+3.27 = -4.08y+9.33 strategic 1 OK subtract 9.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+3.27-9.33 = -4.08y+9.33-9.33 right 1 OK right -4.08y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+3.27-9.33 = -4.08y left 1 OK left 8.22y+3.27-9.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y+3.27-9.33 = -4.08y strategic 1 OK clt 8.22y+3.27-9.33 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +3.27 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:40:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 2 OK -9.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:41:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:41:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -6.06 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:41:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (8.22y)+(-6.06) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:41:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06 = -4.08y strategic 1 ERROR add 6.06 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:41:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06 = -4.08y strategic 2 ERROR multiply -4.08 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:04.0 HINT HINT ES_05 ES_05-8 EG61 8.22y-6.06 = -4.08y strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:05.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 8.22y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:08.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 8.22y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06 = -4.08y strategic 4 OK subtract 8.22y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06-8.22y = -4.08y-8.22y left 1 ERROR left 6.06y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:42:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06-8.22y = -4.08y-8.22y left 2 OK left 8.22y-6.06-8.22y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06-8.22y = -4.08y-8.22y right 1 OK right -4.08y-8.22y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.22y-6.06-8.22y = -4.08y-8.22y strategic 1 OK clt 8.22y-6.06-8.22y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK 8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 1 BUG  8.22y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 3 OK -8.22y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 BUG  6.06 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 3 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK 0y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:43:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (0y)+(-6.06) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -4.08y-8.22y strategic 1 OK clt -4.08y-8.22y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK -12.3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 1 BUG subtract -12.3 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 2 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 3 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 3 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 OK (0)*(y) condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:58.0 HINT HINT ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:44:59.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 4 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 4 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 2 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 2 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 4 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR 1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 ERROR -1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:26.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 7 INITIAL_HINT -1 Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 8 OK 0y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 5 OK subtract -12.3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06-(-12.3y) = -12.3y-(-12.3y) right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:45:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06-(-12.3y) = -12.3y-(-12.3y) right 2 ERROR right -y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06-(-12.3y) = -12.3y-(-12.3y) right 3 ERROR right -12.3y-(-12.3) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06-(-12.3y) = -12.3y-(-12.3y) right 4 OK right -12.3y-(-12.3y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06-(-12.3y) = -12.3y+12.3y left 1 OK left 0y-6.06-(-12.3y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06+12.3y = -12.3y+12.3y strategic 1 OK clt 0y-6.06+12.3y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 5 OK 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 4 OK +12.3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 4 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 3 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:46:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 5 OK 12.3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 9 OK (12.3y)+(-6.06) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06 = -12.3y+12.3y strategic 1 OK clt -12.3y+12.3y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 10 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 11 OK 0y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:40.0 HINT HINT ES_05 ES_05-8 EG61 12.3y-6.06 = 0y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:41.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:47:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06 = 0y strategic 2 OK add 0y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06+(-0y) = 0y+(-0y) left 1 OK left 12.3y-6.06+(0*y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06+0y = 0y+(-0y) right 1 OK right 0y+(-0*y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06+0y = 0y-0y strategic 1 OK clt 12.3y-6.06+0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 6 OK 12.3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y2R1 strategic 5 OK +0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 5 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 6 OK 12.3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:48:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 4 OK -6.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 12 OK (12.3y)+(-6.06) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06 = 0y-0y strategic 1 OK clt 0y-0y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y1R1 strategic 1 OK 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 7 BUG  0y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 8 OK -0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0yR2 strategic 1 OK 0u condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 7 OK -0*y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 13 OK (0y)+(-0*y) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:49:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06 = 0y-0y strategic 2 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 3 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 9 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 3 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 8 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 14 OK (0)*(y) condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:24.0 HINT HINT ES_05 ES_05-8 EG61 12.3y-6.06 = 0y-0y strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:26.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 12.3y-6.06 = 0y-0y strategic 4 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:33.0 HINT HINT ES_05 ES_05-8 EG61 constant factors1R1 strategic 4 INITIAL_HINT This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:34.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 6 HINT_LEVEL_CHANGE A numeric coefficient is a number. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 5 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 10 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:41.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 7 HINT_LEVEL_CHANGE For example, drag 0 here. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 4 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 9 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:50:59.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 15 INITIAL_HINT Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:51:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 16 OK 0y condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:51:09.0 HINT HINT ES_05 ES_05-8 EG61 12.3y-6.06 = 0y-0y strategic 5 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:52:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 6 ERROR rds 0y-6.06 = -12.3y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:52:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0y-6.06 = -12.3y strategic 7 OK mt 0y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 6 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 11 OK y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 5 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 10 OK y condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 17 OK 0 condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0-6.06 = -12.3y strategic 1 OK unnec-elems 0-6.06=-12.3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.06 = -12.3y strategic 1 OK divide -12.3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:53:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.06/-12.3 = -12.3y/-12.3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:54:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.06/-12.3 = y left 1 OK left 0.4926 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:54:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7+(-3.2x) = -5.59x+6.93 strategic 1 OK rds 6.7+(-3.2x) = -5.59x+6.93 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:54:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x = -5.59x+6.93 strategic 1 OK subtract 6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:55:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x+6.93-6.93 right 1 OK right -5.59x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:55:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x left 1 OK left 6.7-3.2x-6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:55:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x strategic 1 BUG add 6.93 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:55:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x strategic 2 OK clt 6.7-3.2x-6.93 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:55:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 BUG  3.2x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 2 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 6.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -0.23 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (-3.2x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:56:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 1 OK subtract -5.59x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23-(-5.59x) = -5.59x-(-5.59x) left 1 BUG left -3.2x-0.23 You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23-(-5.59x) = -5.59x-(-5.59x) left 2 OK left -3.2x-0.23-(-5.59x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+5.59x = -5.59x-(-5.59x) right 1 OK right -5.59x-(-5.59x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+5.59x = -5.59x+5.59x strategic 1 OK clt -3.2x-0.23+5.59x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 3 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:57:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK +5.59x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 OK 2.39x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (2.39x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23 = -5.59x+5.59x strategic 1 OK clt -5.59x+5.59x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK 0x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:58:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23 = 0x strategic 1 OK subtract 0x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23-0x = 0x-0x left 1 OK left 2.39x-0.23-0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:07.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23-0x = 0x-0x right 1 OK right 0x-0x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23-0x = 0x-0x strategic 1 OK clt 2.39x-0.23-0x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x1R1 strategic 1 BUG 2.39x 2.39x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 2.39x, is not one of the 0x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x1R1 strategic 2 BUG  0x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x1R1 strategic 3 OK -0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 4 OK 2.39x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 3 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0xR2 strategic 1 OK -0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 3 ERROR 2.39 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 09:59:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 4 OK 2.39x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:00:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 3 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 ERROR (0)+(2.39x)+(0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR (-0)+(2.39x)+(0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 OK (-0)+(2.39x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0+2.39x-0.23 = 0x-0x strategic 1 OK unnec-elems -0+2.39x-0.23=0x-0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0+2.39x-0.23 = 0x-0x strategic 2 OK clt 0x-0x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x1R1 strategic 4 OK 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 5 OK -0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0xR2 strategic 2 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 5 ERROR x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 6 ERROR -x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:01:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 OK 0x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:10:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7+(-3.2x) = -5.59x+6.93 strategic 1 OK rds 6.7+(-3.2x) = -5.59x+6.93 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:10:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x = -5.59x+6.93 strategic 1 OK subtract 6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x+6.93-6.93 right 1 OK right -5.59x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x left 1 OK left 6.7-3.2x-6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x strategic 1 OK clt 6.7-3.2x-6.93 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 6.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:11:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -0.23 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (-3.2x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:06.0 HINT HINT ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:07.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 3.2x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:12.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 3.2x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 2 OK add 3.2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+3.2x = -5.59x+3.2x right 1 OK right -5.59x+3.2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:36.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+3.2x = -5.59x+3.2x left 1 OK left -3.2x-0.23+3.2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+3.2x = -5.59x+3.2x strategic 1 OK clt -3.2x-0.23+3.2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 2 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK +3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:12:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK -0.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 OK 0x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (0x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x-0.23 = -5.59x+3.2x strategic 1 OK clt -5.59x+3.2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK -2.39x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:30.0 HINT HINT ES_05 ES_05-8 EG61 0x-0.23 = -2.39x strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:35.0 HINT HINT ES_05 ES_05-8 EG61 0x-0.23 = -2.39x strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:36.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0x-0.23 = -2.39x strategic 3 OK mt 0x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factors1R1 strategic 1 OK 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 3 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant factorsR2 strategic 1 OK 0 condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 3 OK x condition 1 perform-mult-row2-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:13:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 OK 0x condition 1 perform-mult-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x = -5.59x+6.93 strategic 2 OK subtract 6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x+6.93-6.93 right 2 OK right -5.59x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x left 2 OK left 6.7-3.2x-6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x strategic 2 BUG add 6.93 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 6.7-3.2x-6.93 = -5.59x strategic 3 OK clt 6.7-3.2x-6.93 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 3 OK 6.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 4 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:14:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 2 OK -6.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:15:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 4 OK -3.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:15:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 3 OK 6.7-6.93 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:15:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 ERROR (-3.2x)+(-0.23 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:15:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 OK (-3.2x)+(-0.23) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:15:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 3 ERROR add -3.2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:16:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 4 ERROR add 5.59 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:16:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23 = -5.59x strategic 5 OK add 5.59x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:17:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.2x-0.23+5.59x = -5.59x+5.59x left 1 OK left 2.39x-0.23 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23 = -5.59x+5.59x right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23 = 0 strategic 1 OK add 0.23 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x-0.23+0.23 = 0+0.23 left 1 OK left 2.39x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x = 0+0.23 right 1 OK right 0.23 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x = 0.23 strategic 1 OK divide 2.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:18:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.39x/2.39 = 0.23/2.39 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:19:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 0.23/2.39 right 1 OK right 0.0962 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:19:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x+(-4.09) = 6.61x+(-1.73) strategic 1 OK rds -6.63x+(-4.09) = 6.61x+(-1.73) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:19:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09 = 6.61x-1.73 strategic 1 OK add 1.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:19:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x-1.73+1.73 right 1 OK right 6.61x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:20:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x left 1 ERROR left -6.63x+5.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:20:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x left 2 BUG left -6.63x+(-5.82) -6.63x+[-5.82] is equal to -6.63x-4.09 minus 1.73. You need to calculate -6.63x-4.09 plus 1.73. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:20:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x left 3 ERROR left 8.99x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:20:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x left 4 OK left -6.63x-4.09+1.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:20:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-4.09+1.73 = 6.61x strategic 1 OK clt -6.63x-4.09+1.73 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -6.63x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -4.09 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +1.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -6.63x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -2.36 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (-6.63x)+(-2.36) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-2.36 = 6.61x strategic 1 OK subtract 6.61x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:21:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-2.36-6.61x = 6.61x-6.61x right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:22:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-2.36-6.61x = 0 left 1 ERROR left -13.24x+2.36 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session94 2007-03-30 10:23:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-2.36-6.61x = 0 left 2 OK left -6.63x-2.36-6.61x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:08.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -6.63x-2.36-6.61x = 0 strategic 1 OK clt -6.63x-2.36-6.61x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -6.63x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -2.36 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK -6.61x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -2.36 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -13.24x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:37:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (-13.24x)+(-2.36) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -13.24x-2.36 = 0 strategic 1 OK add 2.36 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -13.24x-2.36+2.36 = 0+2.36 left 1 OK left -13.24x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -13.24x = 0+2.36 right 1 OK right 2.36 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -13.24x = 2.36 strategic 1 OK divide -13.24 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -13.24x/-13.24 = 2.36/-13.24 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 2.36/-13.24 right 1 OK right 2.36/-13.24 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:38:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 2.36/-13.24 strategic 1 OK rf 2.36/-13.24 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:39:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 ERROR -10.88 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:39:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR -5.6101 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:39:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 ERROR -5.610 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:39:41.0 HINT HINT ES_05 ES_05-8 EG61 FinalAnswer strategic 5 INITIAL_HINT -5.610 In the above expression you have 2.36/-13.24. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:39:44.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -13.24 into 2.36. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 6 ERROR -5.6101 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:03.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Type -0.17824773. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 7 OK -0.1782 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+3.52 = 2.79+7.98x strategic 1 ERROR subtract 2.97 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+3.52 = 2.79+7.98x strategic 2 OK subtract 2.79 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:40:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+3.52-2.79 = 2.79+7.98x-2.79 right 1 OK right 7.98x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+3.52-2.79 = 7.98x left 1 OK left 4.88x+3.52-2.79 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+3.52-2.79 = 7.98x strategic 1 OK clt 4.88x+3.52-2.79 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK 4.88x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +3.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -2.79 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK 4.88x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 0.73 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK (4.88x)+(0.73) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:41:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+0.73 = 7.98x strategic 1 OK subtract 7.98x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+0.73-7.98x = 7.98x-7.98x right 1 OK right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+0.73-7.98x = 0 left 1 OK left 4.88x+0.73-7.98x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.88x+0.73-7.98x = 0 strategic 1 OK clt 4.88x+0.73-7.98x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 2 OK 4.88x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK +0.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:42.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 OK -7.98x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 2 OK 0.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:42:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 2 OK -3.1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK (-3.1x)+(0.73) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x+0.73 = 0 strategic 1 OK subtract 0.73 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x+0.73-0.73 = 0-0.73 left 1 OK left -3.1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x = 0-0.73 right 1 BUG right 0.73 0.73 is equal to 0 plus 0.73. You need to calculate 0 minus 0.73. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x = 0-0.73 right 2 OK right -0.73 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x = -0.73 strategic 1 OK divide -3.1 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -3.1x/-3.1 = -0.73/-3.1 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -0.73/-3.1 right 1 OK right -0.73/-3.1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:43:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -0.73/-3.1 strategic 1 OK rf -0.73/-3.1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:44:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 ERROR -4.2465 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:45:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 4 BUG -0.2345 -0.2345
Check the sign of your answer. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:45:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 5 OK 0.2345 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:45:37.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.84x+(-81.05) = -54.28+(-42.59x) strategic 1 OK rds 5.84x+(-81.05) = -54.28+(-42.59x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:45:46.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.84x-81.05 = -54.28-42.59x strategic 1 BUG add -54.28 To remove -54.28 from the right side, you can add a positive to it. Erase your last step and add 54.28 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:45:58.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.84x-81.05 = -54.28-42.59x strategic 2 OK add 54.28 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:46:14.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.84x-26.77 = -42.59x strategic 1 ERROR add -42.59 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:46:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.84x-26.77 = -42.59x strategic 2 OK subtract -42.59x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:46:39.0 CYCLE CYCLE ES_05 ES_05-9 EG62 48.43x-26.77 = 0 strategic 1 OK add 26.77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:46:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 48.43x = 26.77 strategic 1 OK divide 48.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:46:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+3002.42 = -8092.8+(-650.78x) strategic 1 OK rds -378.66x+3002.42 = -8092.8+(-650.78x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:47:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+3002.42 = -8092.8-650.78x strategic 1 BUG add -8092.8 To remove -8092.8 from the right side, you can add a positive to it. Erase your last step and add 8092.8 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:47:41.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+3002.42 = -8092.8-650.78x strategic 2 OK add 8092.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:47:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+11095.22 = -650.78x strategic 1 ERROR subtract 650.78 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:03.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+11095.22 = -650.78x strategic 2 ERROR add -650.78 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:16.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+11095.22 = -650.78x strategic 3 ERROR add -650.78x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:20.0 HINT HINT ES_05 ES_05-9 EG62A -378.66x+11095.22 = -650.78x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:21.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 1 HINT_LEVEL_CHANGE Move -378.66x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:24.0 HINT HINT ES_05 ES_05-9 EG62A null strategic 2 HINT_LEVEL_CHANGE Subtract -378.66x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -378.66x+11095.22 = -650.78x strategic 5 OK subtract -378.66x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:48:46.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 11095.22 = -272.12x strategic 1 OK divide -272.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -754.15y+9320.92 = 4932.93+563.24y strategic 1 OK subtract 4932.93 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:15.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -754.15y+4387.99 = 563.24y strategic 1 OK subtract -754.15y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:25.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4387.99 = 1317.39y strategic 1 OK divide 1317.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 8.92+77.94y = 58.38y+74.77 strategic 1 OK subtract 74.77 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:48.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -65.85+77.94y = 58.38y strategic 1 OK subtract 77.94y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:49:55.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -65.85 = -19.56y strategic 1 OK divide -19.56 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -70.94+74.88y = -58.53+(-28.73y) strategic 1 OK rds -70.94+74.88y = -58.53+(-28.73y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -70.94+74.88y = -58.53-28.73y strategic 1 BUG add -58.53 To remove -58.53 from the right side, you can add a positive to it. Erase your last step and add 58.53 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -70.94+74.88y = -58.53-28.73y strategic 2 OK add 58.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:35.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -12.41+74.88y = -28.73y strategic 1 OK subtract 74.88y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:42.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -12.41 = -103.61y strategic 1 OK divide -103.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:50:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62 87.55x+76.07 = 85.84+18.02x strategic 1 OK subtract 85.84 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:08.0 CYCLE CYCLE ES_05 ES_05-9 EG62 87.55x-9.77 = 18.02x strategic 1 ERROR add 87.55x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62 87.55x-9.77 = 18.02x strategic 2 ERROR subtract -87.55x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:25.0 HINT HINT ES_05 ES_05-9 EG62 87.55x-9.77 = 18.02x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:26.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 1 HINT_LEVEL_CHANGE Move 87.55x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:30.0 HINT HINT ES_05 ES_05-9 EG62 null strategic 2 HINT_LEVEL_CHANGE Subtract 87.55x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 87.55x-9.77 = 18.02x strategic 4 OK subtract 87.55x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:51:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -9.77 = -69.53x strategic 1 OK divide -69.53 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.8y+7127.18 = 19.44+138.24y strategic 1 OK subtract 19.44 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:11.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -116.8y+7107.74 = 138.24y strategic 1 OK add 116.8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 7107.74 = 255.04y strategic 1 OK divide 255.04 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 715.87x+3895.55 = -670.93x+549.67 strategic 1 OK subtract 549.67 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:41.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 715.87x+3345.88 = -670.93x strategic 1 OK subtract 715.87x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:52:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 3345.88 = -1386.8x strategic 1 OK divide -1386.8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+64.63 = -23.79x+42.89 strategic 1 ERROR add 42.89 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+64.63 = -23.79x+42.89 strategic 2 OK subtract 42.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+64.63-42.89 = -23.79x+42.89-42.89 right 1 OK right -23.79x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+64.63-42.89 = -23.79x left 1 OK left -27.33x+64.63-42.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+64.63-42.89 = -23.79x strategic 1 OK clt -27.33x+64.63-42.89 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:46.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK -27.33x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK +64.63 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:53:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -42.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:54:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK -27.33x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:54:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK 21.74 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:54:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK (-27.33x)+(21.74) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:54:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+21.74 = -23.79x strategic 1 OK add 27.33x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:54:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -27.33x+21.74+27.33x = -23.79x+27.33x left 1 OK left 21.74 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.74 = -23.79x+27.33x right 1 OK right -23.79x+27.33x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.74 = -23.79x+27.33x strategic 1 OK clt -23.79x+27.33x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 OK 3.54x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.74 = 3.54x strategic 1 OK divide 3.54 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.74/3.54 = 3.54x/3.54 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.74/3.54 = x left 1 OK left 6.1412 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+8760.48 = 623.91y+(-5076.43) strategic 1 OK rds -374.21y+8760.48 = 623.91y+(-5076.43) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:55:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+8760.48 = 623.91y-5076.43 strategic 1 OK add 5076.43 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:56:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+8760.48+5076.43 = 623.91y-5076.43+5076.43 right 1 OK right 623.91y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:56:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+8760.48+5076.43 = 623.91y left 1 OK left -374.21y+13836.91 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:57:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+13836.91 = 623.91y strategic 1 ERROR subtract 374.21y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:57:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+13836.91 = 623.91y strategic 2 OK add 374.21y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:57:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+13836.91+374.21y = 623.91y+374.21y right 1 ERROR right y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:57:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+13836.91+374.21y = 623.91y+374.21y right 2 OK right 998.12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:58:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -374.21y+13836.91+374.21y = 998.12y left 1 OK left 13836.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:58:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 13836.91 = 998.12y strategic 1 ERROR divide 998.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:58:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 13836.91 = 998.12y strategic 2 OK divide 998.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:58:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 13836.91/998.12 = 998.12y/998.12 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:58:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 13836.91/998.12 = y left 1 OK left 13.8629 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 71.77+21.2x = -70.9x+14.76 strategic 1 OK subtract 14.76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 71.77+21.2x-14.76 = -70.9x+14.76-14.76 right 1 OK right -70.9x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 71.77+21.2x-14.76 = -70.9x left 1 OK left 71.77+21.2x-14.76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 71.77+21.2x-14.76 = -70.9x strategic 1 OK clt 71.77+21.2x-14.76 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK 71.77 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -14.76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK +21.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK 21.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 09:59:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK 71.77-14.76 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK (21.2x)+(71.77-14.76) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.2x+71.77-14.76 = -70.9x strategic 1 OK clt 21.2x+71.77-14.76 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 2 OK 21.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 2 OK +71.77 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 2 BUG  14.76 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 3 OK -14.76 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 2 OK 21.2x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 2 OK 57.01 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:00:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 OK (21.2x)+(57.01) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.2x+57.01 = -70.9x strategic 1 OK subtract 21.2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62 21.2x+57.01-21.2x = -70.9x-21.2x left 1 OK left 57.01 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01 = -70.9x-21.2x right 1 OK right -70.9x-21.2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01 = -70.9x-21.2x strategic 1 OK clt -70.9x-21.2x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 3 OK -92.1x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01 = -92.1x strategic 1 OK divide -92.1 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:01:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = -92.1x/-92.1 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:02:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 1 BUG left -1.6155 You need to calculate 57.01 divided by -92.1, not -92.1 divided by 57.01. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:02:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 2 ERROR left 47.8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:02:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 3 ERROR left -47.8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 4 ERROR left -35.09 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 5 ERROR left 35.09 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:18.0 HINT HINT ES_05 ES_05-10 EG62 57.01/-92.1 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:20.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 1 HINT_LEVEL_CHANGE Type in 57.01/-92.1 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 6 ERROR left 57.01/-9.21 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x left 7 OK left 57.01/-92.1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 57.01/-92.1 = x strategic 2 OK rf 57.01/-92.1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:03:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 4 ERROR -35.09 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 5 ERROR -1.6155 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 6 ERROR -1.1655 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:25.0 HINT HINT ES_05 ES_05-10 EG62 FinalAnswer strategic 7 INITIAL_HINT -1.1655 In the above expression you have 57.01/-92.1. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:27.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -92.1 into 57.01. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:39.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 3 HINT_LEVEL_CHANGE Type -0.61900109. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:04:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 8 OK -0.6190 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:05:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x+(-4391.58) = -755.8x+(-8350.57) strategic 1 OK rds -569.62x+(-4391.58) = -755.8x+(-8350.57) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:05:30.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x-4391.58 = -755.8x-8350.57 strategic 1 OK add 8350.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:05:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x-4391.58+8350.57 = -755.8x-8350.57+8350.57 right 1 OK right -755.8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x-4391.58+8350.57 = -755.8x left 1 OK left -569.62x-4391.58+8350.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x-4391.58+8350.57 = -755.8x strategic 1 OK clt -569.62x-4391.58+8350.57 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 OK -569.62x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 BUG  4391.58 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 OK -4391.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:23.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +8350.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:06:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 OK -569.62x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:07:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 3958.99 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:07:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK (-569.62x)+(3958.99) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:07:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x+3958.99 = -755.8x strategic 1 ERROR add 569.62 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:07:49.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x+3958.99 = -755.8x strategic 2 OK add 569.62x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:07:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -569.62x+3958.99+569.62x = -755.8x+569.62x left 1 OK left 3958.99 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:08:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3958.99 = -755.8x+569.62x right 1 OK right -186.18x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:08:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3958.99 = -186.18x strategic 1 OK divide -186.18 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:08:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3958.99/-186.18 = -186.18x/-186.18 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:08:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3958.99/-186.18 = x left 1 OK left 3958.99/-186.18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:08:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3958.99/-186.18 = x strategic 1 OK rf 3958.99/-186.18 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:09:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 ERROR 3772.81 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:09:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 3 ERROR -0.0470 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:09:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 4 ERROR -0.04702 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:09:56.0 HINT HINT ES_05 ES_05-10 EG62A FinalAnswer strategic 5 INITIAL_HINT -0.04702 In the above expression you have 3958.99/-186.18. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:09:58.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -186.18 into 3958.99. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:10:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 6 ERROR -0.0470 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:10:35.0 HINT HINT ES_05 ES_05-10 EG62A null strategic 2 HINT_LEVEL_CHANGE Type -21.2643141. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i3xTv15 session95 2007-04-02 10:10:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 7 OK -21.2643 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 i50VGo0 session0 2007-04-19 09:51:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR clt -4613 = -1144y-555 strategic condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:51:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:52:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:52:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check -2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:56:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 BUG subtract 555 Since -555 is negative, you should add to remove it from the right side. Erase your last step and add 555 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:56:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 5 BUG add -555 To remove -555 from the right side, you can add a positive to it. Erase your last step and add 555 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:56:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 6 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:57:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:57:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:57:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 7 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:57:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 7957 = -8380x+2417 strategic 1 OK subtract 2417 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:58:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 5540 = -8380x strategic 1 OK divide -8380 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:58:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 7957 = -8380x+2417 strategic 2 OK answer-check -277/419 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:58:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 11.64 = 11.23y+(-4.1) strategic 1 OK answer-check 1.4016 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 09:58:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y+52 = 3 strategic 1 ERROR answer-check 1/4 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:02:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y+52 = 3 strategic 2 ERROR answer-check -16.33333333333 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y+52 = 3 strategic 3 ERROR answer-check 20.333333 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:06:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y+52 = 3 strategic 4 OK subtract 52 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:06:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y = -49 strategic 1 OK divide -3 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:06:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 y = 49/3 strategic 1 BUG rf y = 49/3 strategic You already solved the equation. y is 49/3. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -3y+52 = 3 strategic 5 OK answer-check 49/3 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:08:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 37.46 = -89.19+(-45.08x) strategic 1 ERROR answer-check 66 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:08:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 37.46 = -89.19+(-45.08x) strategic 2 ERROR answer-check 777 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:08:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 37.46 = -89.19+(-45.08x) strategic 3 ERROR answer-check 888 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:08:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 37.46 = -89.19+(-45.08x) strategic 4 OK answer-check -2.8094 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:11:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2421+(-8161y) = -8822 strategic 1 ERROR answer-check dddd condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:11:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2421+(-8161y) = -8822 strategic 2 ERROR answer-check 555 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:11:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2421+(-8161y) = -8822 strategic 3 ERROR answer-check 999 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:12:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2421+(-8161y) = -8822 strategic 4 OK add 2421 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:12:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8161y = -6401 strategic 1 OK divide -8161 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:13:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A y = 6401/8161 strategic 1 BUG rds y = 6401/8161 strategic You already solved the equation. y is 6401/8161. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:13:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A y = 6401/8161 strategic 2 BUG rf y = 6401/8161 strategic You already solved the equation. y is 6401/8161. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:13:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2421+(-8161y) = -8822 strategic 5 OK answer-check 6401/8161 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:14:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.84+(-7.79y) = 13.47 strategic 1 ERROR subtract -7.79 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:17:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 14.63-7.79y = 21.26 strategic 1 BUG divide 14.63 You want to isolate -7.79y by removing 14.63 from the left side. 14.63 is added to -7.79y. What is the opposite of addition? BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:17:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 14.63-7.79y = 21.26 strategic 2 ERROR divide 7.79 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:17:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.84+(-7.79y) = 13.47 strategic 2 OK subtract 6.84 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:18:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -7.79y = 6.63 strategic 1 OK divide -7.79 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:18:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.84+(-7.79y) = 13.47 strategic 3 OK answer-check -0.8511 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:19:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 8.02 = -5.08+0.16y strategic 1 ERROR subtract 0.16 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:19:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 7.86 = -5.24+0.16y strategic 1 OK divide 0.16 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:19:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 8.02 = -5.08+0.16y strategic 2 OK subtract -5.08 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:19:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 13.1 = 0.16y strategic 1 OK divide 0.16 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:20:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 8.02 = -5.08+0.16y strategic 3 OK answer-check 81.875 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:21:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 5041+(-3203y) = 652 strategic 1 OK subtract 5041 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:21:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -3203y = -4389 strategic 1 OK divide -3203 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:22:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 5041+(-3203y) = 652 strategic 2 OK answer-check 4389/3203 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:37:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2725+2423y = 6330 strategic 1 BUG subtract 6330 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2725+2423y = 6330 strategic 2 ERROR answer-check 333 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:38:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2725+2423y = 6330 strategic 3 ERROR answer-check 777 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:38:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2725+2423y = 6330 strategic 4 ERROR answer-check 66666 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:38:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2725+2423y = 6330 strategic 5 OK answer-check 1.4878 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.03 = 5.61y+(-9.72) strategic 1 ERROR answer-check 111 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:38:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.03 = 5.61y+(-9.72) strategic 2 ERROR answer-check 222 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:39:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.03 = 5.61y+(-9.72) strategic 3 ERROR answer-check 333 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:39:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -6.03 = 5.61y+(-9.72) strategic 4 OK answer-check 0.6578 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:39:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.79+(-1.96x) = -4.23 strategic 1 ERROR answer-check 111 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.79+(-1.96x) = -4.23 strategic 2 ERROR answer-check 1983 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.79+(-1.96x) = -4.23 strategic 3 ERROR answer-check 976457 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.79+(-1.96x) = -4.23 strategic 4 OK answer-check 3.0714 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -90 = -45+42y strategic 1 ERROR answer-check 888 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -90 = -45+42y strategic 2 ERROR answer-check 999 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:40:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -90 = -45+42y strategic 3 ERROR answer-check 444 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:41:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -90 = -45+42y strategic 4 OK answer-check -1.0714 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:41:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 1 ERROR answer-check 77777777 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:42:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 2 ERROR answer-check 846 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:42:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 3 ERROR answer-check 986 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:42:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 4 ERROR answer-check 77777 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:43:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 5 ERROR subtract 7199 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:43:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 8834 = 1635+(-371y) strategic 6 OK answer-check -19.4043 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:43:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x+0.09 = 23.02 strategic 1 OK subtract 0.09 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:49:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x+0.09-0.09 = 23.02-0.09 left 1 OK left -12.56x condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:49:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x = 23.02-0.09 right 1 OK right 22.93 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x = 22.93 strategic 1 OK divide -12.56 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:50:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x/-12.56 = 22.93/-12.56 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:50:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = 22.93/-12.56 right 1 OK right -1.826 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -12.56x+0.09 = 23.02 strategic 2 OK answer-check -1.8256 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:51:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65 = -0.62y+7.49 strategic 1 ERROR subtract 0.62 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:51:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65 = -0.62y+7.49 strategic 2 OK subtract 7.49 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65-7.49 = -0.62y+7.49-7.49 right 1 OK right -0.62y condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65-7.49 = -0.62y left 1 OK left -22.14 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -22.14 = -0.62y strategic 1 OK divide -0.62 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:52:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -22.14/-0.62 = -0.62y/-0.62 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:53:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -22.14/-0.62 = y left 1 OK left 35.70 condition 3 cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:53:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65 = -0.62y+7.49 strategic 3 ERROR answer-check 35.7 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I i50VGo0 session0 2007-04-19 10:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -14.65 = -0.62y+7.49 strategic 4 ERROR answer-check -35.7 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I jrbaI52 session0 2007-04-26 08:35:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:36:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 20y+(-79) = 68 strategic 1 OK answer-check 147/20 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:38:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 6.9 = -1.43+12.06y strategic 1 OK answer-check 0.6907 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:46:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 1 ERROR answer-check -0.140204 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:47:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 2 ERROR answer-check -7.13242009 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:51:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 3 ERROR answer-check 3.583333333 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:52:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 4 ERROR answer-check -0.140204 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:54:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 5 ERROR answer-check -0.6227 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:54:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 6 ERROR answer-check 1.6056 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:55:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 7 ERROR answer-check 1.6057 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:55:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -9.89x+(-6.56) = 9.32 strategic 8 OK answer-check -1.6057 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:58:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 5642 = 5977y+3858 strategic 1 OK answer-check 0.298477 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 08:59:42.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 85 = -90y+(-9) strategic 1 ERROR answer-check 1.04 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:00:02.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 85 = -90y+(-9) strategic 2 ERROR answer-check 0.95744 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:00:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 85 = -90y+(-9) strategic 3 ERROR answer-check 94/90 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:01:00.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 85 = -90y+(-9) strategic 4 OK answer-check -1.044 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:06:58.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 14.67 = 8.76+(-6.94x) strategic 1 OK answer-check -0.8515 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:10:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -8350 = 4573+9633x strategic 1 OK answer-check -1.34153 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:14:59.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 -4.33 = 84.58+(-35.46x) strategic 1 OK answer-check 2.507332 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:17:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -68y+(-98) = -83 strategic 1 OK answer-check -0.2205 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:20:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 2.6 = -10.1x+(-14.54) strategic 1 ERROR answer-check 1.6970 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:21:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42C 2.6 = -10.1x+(-14.54) strategic 2 OK answer-check -1.6970 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:24:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 8606+(-3949x) = -7539 strategic 1 ERROR answer-check -2.17737 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:27:13.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 8606+(-3949x) = -7539 strategic 2 OK answer-check 4.08837 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I jrbaI52 session0 2007-04-26 09:29:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -83+19x = 9 strategic 1 OK answer-check 4.8421 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I ks545SC session0 2007-04-19 09:43:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 1144y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:43:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613+1144y = -555 strategic 1 ERROR clt -4613+1144y = -555 strategic condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:43:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613+1144y = -555 strategic 2 ERROR add 4163 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:43:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -450+1144y = 3608 strategic 1 BUG subtract 450 Since -450 is negative, you should add to remove it from the left side. Erase your last step and add 450 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:43:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -900+1144y = 3158 strategic 1 ERROR clt -900+1144y = 3158 strategic condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:43:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:44:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:45:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check 3+448/527 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:45:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 ERROR answer-check (3/448)/527 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:45:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 5 ERROR answer-check 3+313/527 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:47:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:47:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 6 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:48:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -10.79x+5.36 = 12.41 strategic 1 OK answer-check -0.6534 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:48:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 2598 = 6691+(-660y) strategic 1 OK answer-check 4093/660 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -4.59x+(-13.74) = -5.37 strategic 1 BUG subtract 13.74 Since -13.74 is negative, you should add to remove it from the left side. Erase your last step and add 13.74 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -4.59x+(-13.74) = -5.37 strategic 2 OK add 13.74 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -4.59x = 8.37 strategic 1 OK divide -4.59 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -4.59x+(-13.74) = -5.37 strategic 3 ERROR answer-check -1.5235 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -4.59x+(-13.74) = -5.37 strategic 4 OK answer-check -1.8235 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -38y+19 = 40 strategic 1 OK subtract 19 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -38y = 21 strategic 1 OK divide -38 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:49:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -38y+19 = 40 strategic 2 OK answer-check -21/38 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 5594+(-2512x) = 1186 strategic 1 OK subtract 5594 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -2512x = -4408 strategic 1 OK divide -2512 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 5594+(-2512x) = 1186 strategic 2 OK answer-check 551/314 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 88.07x+14.86 = -77.69 strategic 1 OK subtract 14.86 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 88.07x = -92.55 strategic 1 OK divide 88.07 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:50:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 88.07x+14.86 = -77.69 strategic 2 OK answer-check -1.0509 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 1 BUG subtract 68 Since -68 is negative, you should add to remove it from the left side. Erase your last step and add 68 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68)-68 = 53-68 left 1 OK left 29y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = 53-68 right 1 OK right 15 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = 15 strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y/29 = 15/29 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 15/29 right 1 OK right 0.5172 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:51:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 2 ERROR answer-check 0.5172 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 3 ERROR answer-check 0.51724 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 4 BUG subtract 68 Since -68 is negative, you should add to remove it from the left side. Erase your last step and add 68 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68)-68 = 53-68 left 2 OK left 29y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = 53-68 right 2 OK right -15 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = -15 strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:52:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y/29 = -15/29 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -15/29 right 1 OK right -0.5124 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 5 ERROR answer-check -0.5172 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 6 OK add 68 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68)+68 = 53+68 left 1 OK left 29y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = 53+68 right 1 OK right 121 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y = 121 strategic 1 OK divide 29 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y/29 = 121/29 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:54:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 121/29 right 1 OK right 4.1724 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:54:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 29y+(-68) = 53 strategic 7 OK answer-check 4.1724 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:54:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 1 ERROR add 9.05 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:54:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 2 OK add 9.05x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:54:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45+9.05x = 1.25+(-9.05x)+9.05x right 1 OK right 1.25 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:55:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45+9.05x = 1.25 left 1 OK left 23.5x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:55:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 23.5x = 1.25 strategic 1 OK divide 23.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:55:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 23.5x/23.5 = 1.25/23.5 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:55:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = 1.25/23.5 right 1 OK right 0.0531 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 3 ERROR answer-check 0.0532 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 4 ERROR answer-check .0532 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 5 ERROR answer-check -0.0532 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 6 OK subtract 1.25 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45-1.25 = 1.25+(-9.05x)-1.25 right 1 OK right -9.05x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45-1.25 = -9.05x left 1 OK left 13.2 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:56:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 13.2 = -9.05x strategic 1 OK divide -9.05 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:57:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 14.45 = 1.25+(-9.05x) strategic 7 OK answer-check -1.4585 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:57:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 51.66+(-83.96x) = 5.16 strategic 1 OK subtract 51.66 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:57:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 51.66+(-83.96x)-51.66 = 5.16-51.66 left 1 OK left -83.96x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:57:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -83.96x = 5.16-51.66 right 1 OK right -46.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:57:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -83.96x = -46.5 strategic 1 OK divide -83.96 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:58:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 51.66+(-83.96x) = 5.16 strategic 2 ERROR answer-check -0.5538 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:58:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 51.66+(-83.96x) = 5.16 strategic 3 OK answer-check 0.5538 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:59:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -24 = -4640+9024y strategic 1 OK add 4640 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:59:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -24+4640 = -4640+9024y+4640 right 1 OK right 9024y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 09:59:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -24+4640 = 9024y left 1 OK left 4616 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -24 = -4640+9024y strategic 2 OK answer-check 0.5115 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:00:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x+2.81 = -14.79 strategic 1 OK subtract 2.81 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:00:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x+2.81-2.81 = -14.79-2.81 left 1 OK left 8.41x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:00:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x+2.81 = -14.79 strategic 2 ERROR answer-check condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:03:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x = -14.79-2.81 right 1 OK right -17.6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:03:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x = -17.6 strategic 1 OK divide 8.41 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:03:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 8.41x+2.81 = -14.79 strategic 1 OK answer-check -2.092 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x+2533 = -1415 strategic 1 OK subtract 2533 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x+2533-2533 = -1415-2533 left 1 OK left 4116x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x = -1415-2533 right 1 OK right -3948 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x = -3948 strategic 1 OK divide 4116 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x/4116 = -3948/4116 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:04:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4116x+2533 = -1415 strategic 2 OK answer-check -0.9591 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:05:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 10.52+(-7.04x) = 9.48 strategic 1 OK subtract 10.52 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 10.52+(-7.04x)-10.52 = 9.48-10.52 left 1 OK left -7.04x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:05:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -7.04x = 9.48-10.52 right 1 OK right -1.04 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:05:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -7.04x = -1.04 strategic 1 OK divide -7.04 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 10.52+(-7.04x) = 9.48 strategic 2 OK answer-check 0.1477 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:06:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 256+(-599/x) = 835 strategic 1 OK subtract 256 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:06:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -599/x = 579 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:06:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -599 = 579x strategic 1 OK divide 579 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:06:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -599/579 = x strategic 1 BUG rf -599/579 = x strategic You already solved the equation. x is -599/579. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 256+(-599/x) = 835 strategic 2 OK answer-check -599/579 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:07:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -87/x+(-11) = -39 strategic 1 OK add 11 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:07:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -87/x = -28 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:07:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -87 = -28x strategic 1 OK divide -28 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:07:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -87/x+(-11) = -39 strategic 2 OK answer-check 87/28 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -871/y+(-368) = 194 strategic 1 OK add 368 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -871/y = 562 strategic 1 ERROR subtract y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -871/y = 562 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -871 = 562y strategic 1 OK divide 562 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -871/y+(-368) = 194 strategic 2 OK answer-check -871/562 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 187 = 957/x+502 strategic 1 OK subtract 502 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -315 = 957/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -315x = 957 strategic 1 OK divide -315 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:08:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A 187 = 957/x+502 strategic 2 OK answer-check -319/105 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 603 = -158+570/x strategic 1 OK add 158 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 603+158 = -158+570/x+158 left 1 OK left 761 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761 = -158+570/x+158 right 1 OK right 570/x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761 = 570/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761x = 570/x*x left 1 OK left 761x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761x = 570/x*x right 1 OK right 570 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761x = 570 strategic 1 OK divide 761 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 761x/761 = 570/761 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:09:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 570/761 right 1 OK right 0.7490 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 603 = -158+570/x strategic 2 OK answer-check 0.7490 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x+(-74) = 68 strategic 1 OK add 74 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x+(-74)+74 = 68+74 left 1 OK left 94/x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x = 68+74 right 1 OK right 142 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x = 142 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x*x = 142x left 1 OK left 94 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = 142x right 1 OK right 142x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94 = 142x strategic 1 OK divide 142 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/142 = 142x/142 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:10:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/142 = x left 1 OK left 0.6619 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:11:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 94/x+(-74) = 68 strategic 2 OK answer-check 0.6620 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 1 BUG subtract 26 Since -26 is negative, you should add to remove it from the left side. Erase your last step and add 26 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26)-26 = 54-26 left 1 OK left -30/y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y = 54-26 right 1 OK right 28 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y = 28 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y*y = 28y left 1 OK left -30 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30 = 28y right 1 OK right 28y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:12:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30 = 28y strategic 1 OK divide 28 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/28 = 28y/28 left 1 OK left -1.0714 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -1.07142857 = 28y/28 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 2 ERROR answer-check -1.0714 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 3 OK add 26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26)+26 = 54+26 left 1 OK left -30Y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30Y = 54+26 right 1 OK right 80 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30Y = 80 strategic 1 OK divide -30 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:13:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30Y/-30 = 80/-30 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = 80/-30 right 1 OK right -2.6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 4 ERROR answer-check -2.6 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 5 OK add 26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26)+26 = 54+26 left 2 OK left -30/y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y = 54+26 right 1 OK right 80 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y = 80 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y*y = 80y left 1 OK left -30 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30 = 80y right 1 OK right 80y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30 = 80y strategic 1 OK divide 80 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:14:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/80 = 80y/80 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/80 = y left 1 OK left -0.375 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -30/y+(-26) = 54 strategic 6 OK answer-check -0.375 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -564 = 747/x+(-716) strategic 1 OK add 716 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -564+716 = 747/x+(-716)+716 left 1 OK left 152 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152 = 747/x+(-716)+716 right 1 OK right 747/x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152 = 747/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:15:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152x = 747/x*x left 1 OK left 152x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152x = 747/x*x right 1 OK right 747 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152x = 747 strategic 1 OK divide 152 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 152x/152 = 747/152 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 747/152 right 1 OK right 4.9144 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -564 = 747/x+(-716) strategic 2 OK answer-check 4.9145 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 640 = -557+106/y strategic 1 OK add 557 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:18:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 640+557 = -557+106/y+557 right 1 OK right 106/y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 640+557 = 106/y left 1 OK left 1197 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1197 = 106/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1197y = 106/y*y left 1 OK left 1197y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1197y = 106/y*y right 1 OK right 106 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1197y = 106 strategic 1 OK divide 1197 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 640 = -557+106/y strategic 2 OK answer-check 0.0885 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:19:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 7+(-3x) = -10x+(-1) strategic 1 OK answer-check -8/7 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+3 = 2y+(-1) strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y = 2y-4 strategic 1 ERROR subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y = 2y-4 strategic 2 OK subtract 2y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10y = -4 strategic 1 OK divide -10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+3 = 2y+(-1) strategic 2 OK answer-check 2/5 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-8x) = 5x+9 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8x = 5x+3 strategic 1 OK subtract 5x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -13x = 3 strategic 1 OK divide -13 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:20:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6+(-8x) = 5x+9 strategic 2 OK answer-check 3/-13 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:21:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 1 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:21:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 4x-10 strategic 1 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:21:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 4x-10 strategic 2 ERROR add 10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:22:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 2 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:22:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 4x-10 strategic 3 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:22:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 3 ERROR answer-check -10 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:22:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 4 ERROR answer-check 0 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:23:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 5 ERROR answer-check 0x condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:23:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 6 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:23:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 4x-10 strategic 4 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:24:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 7 ERROR subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:24:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 8 ERROR subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:24:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 9 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:25:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 10 ERROR answer-check -10 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:26:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 11 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:26:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+10 = 4x strategic 1 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:26:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+10 = 4x strategic 2 ERROR subtract 10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:26:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = 4x-10 strategic 5 ERROR add 10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:26:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+10 = 4x strategic 3 ERROR divide x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:27:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 (4x+10)/x = 4 strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:27:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+10 = 4x strategic 4 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:27:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x+1 = 4x+(-9) strategic 12 ERROR answer-check 1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:30:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1y+(-6) = 8+(-6y) strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the both side. Erase your last step and add 6 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:30:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -y-12 = 2-6y strategic 1 OK add 12 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:31:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1y+(-6) = 8+(-6y) strategic 2 OK add 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:31:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1y+(-6) = 8+(-6y) strategic 3 OK subtract -6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:31:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -y = 14-6y strategic 1 ERROR subtract 14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:32:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1y+(-6) = 8+(-6y) strategic 4 OK add 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -y = 14-6y strategic 2 ERROR add 6x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -y = 14-6y strategic 3 OK add 6y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y = 14 strategic 1 OK divide 5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -1y+(-6) = 8+(-6y) strategic 5 OK answer-check 14/5 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6 = 1x+9 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6-6 = 1x+9-6 left 1 OK left 7x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+9-6 right 1 OK right 1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+3 strategic 1 OK unnec-elems 7x=1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:33:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = x+3 strategic 1 OK subtract x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = x+3 strategic 2 ERROR subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6 = 1x+9 strategic 2 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6-6 = 1x+9-6 left 2 OK left 7x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+9-6 right 2 OK right 1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+3 strategic 2 OK unnec-elems 7x=1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6 = 1x+9 strategic 3 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6-6 = 1x+9-6 left 3 OK left 7x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+9-6 right 3 OK right 1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = 1x+3 strategic 3 OK unnec-elems 7x=1x+3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x = x+3 strategic 3 OK subtract 1x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:34:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x-x = x+3-x left 1 OK left 6x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:35:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = x+3-x right 1 OK right 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:35:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6x = 3 strategic 1 OK divide 6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:35:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6 = 1x+9 strategic 4 ERROR answer-check 2 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:35:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 7x+6 = 1x+9 strategic 5 OK answer-check 0.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+2y = -8+(-8y) strategic 1 ERROR add 83 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+2y = -8+(-8y) strategic 2 OK add 5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+2y+5 = -8+(-8y)+5 left 1 OK left 2y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = -8+(-8y)+5 right 1 OK right -8y-3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = -8y-3 strategic 1 OK add 8y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+8y = -8y-3+8y left 1 OK left 10y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -8y-3+8y right 1 OK right -3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y = -3 strategic 1 OK divide 10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 10y/10 = -3/10 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:36:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5+2y = -8+(-8y) strategic 3 OK answer-check -0.3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+8x = 3x+(-3) strategic 1 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+8x+3 = 3x+(-3)+3 left 1 OK left 8 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+8x = 3x+(-3) strategic 2 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+8x+3 = 3x+(-3)+3 left 2 OK left 8x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 3x+(-3)+3 right 1 OK right 3x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x = 3x strategic 1 OK subtract 3x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-3x = 3x-3x right 1 OK right 0 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 8x-3x = 0 left 1 OK left 11x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+8x = 3x+(-3) strategic 3 OK answer-check 0 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-9y) = 1y+6 strategic 1 OK add 3 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:37:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-9y)+3 = 1y+6+3 left 1 OK left -9y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+6+3 right 1 OK right 1y+9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = 1y+9 strategic 1 OK unnec-elems -9y=1y+9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y = y+9 strategic 1 OK subtract 1y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9y-y = y+9-y left 1 OK left -10y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y = y+9-y right 1 OK right 9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y = 9 strategic 1 OK divide -10 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -10y/-10 = 9/-10 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 9/-10 right 1 OK right -0.9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3+(-9y) = 1y+6 strategic 2 OK answer-check -0.9 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:38:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 5.38y+(-1.61) = -1.03+7.77y strategic 1 OK answer-check -0.2427 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.15x+6.26 = -0.75x+9.61 strategic 1 OK subtract 6.26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.15x = -0.75x+3.35 strategic 1 OK add 0.75x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -4.4x = 3.35 strategic 1 OK divide -4.4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.15x+6.26 = -0.75x+9.61 strategic 2 ERROR answer-check -0.7314 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -5.15x+6.26 = -0.75x+9.61 strategic 3 OK answer-check -0.7614 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.69+(-3.79y) = -2.7y+3.5 strategic 1 OK add 0.69 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:39:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -3.79y = -2.7y+4.19 strategic 1 OK add 2.7y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -1.09y = 4.19 strategic 1 OK divide -1.09 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -0.69+(-3.79y) = -2.7y+3.5 strategic 2 OK answer-check -3.8440 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.18y+7.72 = -8.1y+(-2.9) strategic 1 OK subtract 7.72 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.18y = -8.1y-10.62 strategic 1 OK add 8.1y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 15.28y = -10.62 strategic 1 OK divide 15.28 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 7.18y+7.72 = -8.1y+(-2.9) strategic 2 OK answer-check -0.6950 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.11y+2.63 = -3.64y+8.98 strategic 1 OK subtract 2.63 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:40:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.11y = -3.64y+6.35 strategic 1 ERROR subtract 6.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:41:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.11y = -3.64y+6.35 strategic 2 OK add 3.64y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:41:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 4.75y = 6.35 strategic 1 OK divide 4.75 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:41:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 1.11y+2.63 = -3.64y+8.98 strategic 2 OK answer-check 1.3368 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:41:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.13+(-9.19y) = 8.82y+2.42 strategic 1 OK subtract 1.13 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.13+(-9.19y)-1.13 = 8.82y+2.42-1.13 left 1 OK left -9.19y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:42:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.19y = 8.82y+2.42-1.13 right 1 OK right 8.82y+1.29 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:42:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.19y = 8.82y+1.29 strategic 1 OK subtract 8.82y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:42:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.19y-8.82y = 8.82y+1.29-8.82y right 1 OK right 1.29 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:42:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -9.19y-8.82y = 1.29 left 1 OK left -18.01y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:42:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -18.01y = 1.29 strategic 1 OK divide -18.01 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:43:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.13+(-9.19y) = 8.82y+2.42 strategic 2 OK answer-check -0.0716 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:44:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x+5.73 = 8.09+7.45x strategic 1 OK subtract 5.73 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:44:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x+5.73-5.73 = 8.09+7.45x-5.73 left 1 OK left -3.49x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:44:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x = 8.09+7.45x-5.73 right 1 OK right 7.45x+2.36 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:44:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x = 7.45x+2.36 strategic 1 OK subtract 7.45x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x-7.45x = 7.45x+2.36-7.45x right 1 OK right 2.36 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x-7.45x = 2.36 left 1 OK left -10.94x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.94x = 2.36 strategic 1 OK divide -10.94 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.94x/-10.94 = 2.36/-10.94 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = 2.36/-10.94 right 1 OK right -0.2184 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:45:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -3.49x+5.73 = 8.09+7.45x strategic 2 OK answer-check -0.2184 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:46:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 1 BUG subtract 1.5 Since -1.5 is negative, you should add to remove it from the both side. Erase your last step and add 1.5 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:47:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 2 BUG subtract 1.5 Since -1.5 is negative, you should add to remove it from the both side. Erase your last step and add 1.5 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:47:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5)-1.5 = -1.55x+(-7.15)-1.5 left 1 OK left -1.39x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:47:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x = -1.55x+(-7.15)-1.5 right 1 OK right -1.55x-5.65 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:47:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x = -1.55x-5.65 strategic 1 OK add 1.55x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:48:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+1.55x = -1.55x-5.65+1.55x left 1 OK left 0.16x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:48:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.16x = -1.55x-5.65+1.55x right 1 OK right -5.65 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:48:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.16x = -5.65 strategic 1 OK divide 0.16 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:48:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 3 ERROR answer-check 35.3125 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:49:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 4 BUG subtract 1.5 Since -1.5 is negative, you should add to remove it from the both side. Erase your last step and add 1.5 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:49:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5)-1.5 = -1.55x+(-7.15)-1.5 left 2 OK left -1.39 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:49:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39 = -1.55x+(-7.15)-1.5 right 1 OK right -1.55x-8.65 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39 = -1.55x-8.65 strategic 1 ERROR add 1.55x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39+1.55x = -1.55x-8.65+1.55x right 1 OK right -8.65 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39+1.55x = -8.65 left 1 OK left 0.16x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.16x = -8.65 strategic 1 OK divide 0.16 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.16x/0.16 = -8.65/0.16 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -8.65/0.16 right 1 OK right -54.0625 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 5 ERROR answer-check -54.0625 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:51:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 6 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:51:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.39x+(-1.5) = -1.55x+(-7.15) strategic 7 OK answer-check -35.3125 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.37+(-1.82y) = 3.87+(-3.52y) strategic 1 OK subtract 4.37 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:52:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.37+(-1.82y)-4.37 = 3.87+(-3.52y)-4.37 left 1 OK left -1.82y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.82y = 3.87+(-3.52y)-4.37 right 1 OK right -3.52y-0.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.82y = -3.52y-0.5 strategic 1 ERROR add 3.52 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.82y = -3.52y-0.5 strategic 2 OK add 3.52y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.82y+3.52y = -3.52y-0.5+3.52y left 1 OK left 1.7y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.7y = -3.52y-0.5+3.52y right 1 OK right -0.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.7y = -0.5 strategic 1 OK divide 1.7 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session0 2007-04-19 10:54:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.37+(-1.82y) = 3.87+(-3.52y) strategic 2 ERROR answer-check 0.29411 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:41:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.7y/1.7 = -0.5/1.7 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:42:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.37+(-1.82y) = 3.87+(-3.52y) strategic 1 OK answer-check -0.29411 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x+8.61 = 7.33x+9.55 strategic 1 OK subtract 8.61 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x+8.61-8.61 = 7.33x+9.55-8.61 left 1 OK left 0.23x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x = 7.33x+9.55-8.61 right 1 OK right 7.33x+0.94 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x = 7.33x+0.94 strategic 1 BUG divide 0.23 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x = 7.33x+0.94 strategic 2 OK subtract 7.33x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x-7.33x = 7.33x+0.94-7.33x left 1 OK left -7.1x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:43:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.1x = 7.33x+0.94-7.33x right 1 OK right 0.94 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:44:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.1x = 0.94 strategic 1 OK divide -7.1 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:44:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.23x+8.61 = 7.33x+9.55 strategic 2 OK answer-check -0.1323 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:44:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x = -5.85+(-5.45x) strategic 1 OK add 8.46 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:44:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x+8.46 = -5.85+(-5.45x)+8.46 left 1 OK left 0.02x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x = -5.85+(-5.45x)+8.46 right 1 OK right -5.45x+2.9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x = -5.45x+2.9 strategic 1 ERROR add 5.45 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x = -5.45x+2.9 strategic 2 OK add 5.45x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x+5.45x = -5.45x+2.9+5.45x left 1 OK left 5.47x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = -5.45x+2.9+5.45x right 1 OK right 2.9 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = 2.9 strategic 1 OK divide 5.47 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x = -5.85+(-5.45x) strategic 2 ERROR answer-check 0.5301 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:45:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x = -5.85+(-5.45x) strategic 3 ERROR answer-check 0.53016 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x = -5.85+(-5.45x) strategic 4 OK add 8.46 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x+8.46 = -5.85+(-5.45x)+8.46 left 2 OK left 0.02x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x = -5.85+(-5.45x)+8.46 right 2 OK right -5.85+-5.45x+8.46 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x = -5.85-5.45x+8.46 strategic 1 OK add 5.45x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.02x+5.45x = -5.85-5.45x+8.46+5.45x left 1 OK left 5.47x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:46:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = -5.85-5.45x+8.46+5.45x right 1 OK right -5.85+8.48 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = -5.85+8.48 strategic 1 OK clt -5.85+8.48 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 FinalAnswer strategic 1 OK 2.63 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = -5.85+8.48 strategic 2 OK clt -5.85+8.48 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = 2.63 strategic 1 ERROR clt 5.47x = 2.63 strategic condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.47x = 2.63 strategic 2 OK divide 5.47 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:47:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.46+0.02x = -5.85+(-5.45x) strategic 5 OK answer-check 0.48080 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 1 BUG subtract 7.03 Since -7.03 is negative, you should add to remove it from the both side. Erase your last step and add 7.03 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03)-7.03 = 6.38x+4.97-7.03 left 1 OK left -4.31x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x = 6.38x+4.97-7.03 right 1 OK right 6.38x+4.97-7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x = 6.38x+4.97-7.03 strategic 1 OK subtract 6.38x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x-6.38x = 6.38x+4.97-7.03-6.38x left 1 OK left -10.69x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 6.38x+4.97-7.03-6.38x right 1 OK right 4.97-7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:48:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 4.97-7.03 strategic 1 OK clt 4.97-7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:49:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 FinalAnswer strategic 1 OK -2.06 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:49:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 4.97-7.03 strategic 2 OK clt 4.97-7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:49:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = -2.06 strategic 1 OK divide -10.69 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:49:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 2 ERROR answer-check 0.1927 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:49:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 3 ERROR answer-check 0.192703 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:50:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 4 BUG add -7.03 To remove -7.03 from the left side, you can add a positive to it. Erase your last step and add 7.03 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:50:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 5 OK add 7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:50:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03)+7.03 = 6.38x+4.97+7.03 left 1 OK left -4.31x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x = 6.38x+4.97+7.03 right 1 OK right 6.38x+4.97+7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:50:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x = 6.38x+4.97+7.03 strategic 1 BUG subtract 6.38 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:51:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x = 6.38x+4.97+7.03 strategic 2 OK subtract 6.38x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:51:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x-6.38x = 6.38x+4.97+7.03-6.38x left 1 OK left -10.69x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 6.38x+4.97+7.03-6.38x right 1 OK right 4.97+7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:51:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 4.97+7.03 strategic 1 OK clt 4.97+7.03 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:51:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.69x = 12 strategic 1 OK divide -10.69 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:52:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.31x+(-7.03) = 6.38x+4.97 strategic 6 OK answer-check -1.12254 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:52:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.23+(-4.76y) = 0.83y+(-3.97) strategic 1 OK add 4.23 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.23+(-4.76y)+4.23 = 0.83y+(-3.97)+4.23 left 1 OK left -4.76y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76y = 0.83y+(-3.97)+4.23 right 1 OK right 0.83y+0.26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76y = 0.83y+0.26 strategic 1 OK subtract 0.83y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:53:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.76y-0.83y = 0.83y+0.26-0.83y left 1 OK left -5.59y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:53:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.59y = 0.83y+0.26-0.83y right 1 OK right 0.26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:53:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.59y = 0.26 strategic 1 OK divide -5.59 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.59y/-5.59 = 0.26/-5.59 right 1 OK right -0.04651 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.59y/-5.59 = -0.04651163 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.23+(-4.76y) = 0.83y+(-3.97) strategic 2 OK answer-check -0.04651 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.78+(-4.34x) = -8.7+1.63x strategic 1 OK subtract 8.78 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.78+(-4.34x)-8.78 = -8.7+1.63x-8.78 left 1 OK left -4.34x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.34x = -8.7+1.63x-8.78 right 1 OK right -8.7+1.63x-8.78 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:54:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.34x = -8.7+1.63x-8.78 strategic 1 OK subtract 1.63x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.34x-1.63x = -8.7+1.63x-8.78-1.63x left 1 OK left -5.97x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.97x = -8.7+1.63x-8.78-1.63x right 1 OK right -8.7-8.78 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.97x = -8.7-8.78 strategic 1 OK clt -8.7-8.78 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 FinalAnswer strategic 1 OK -17.48 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.97x = -8.7-8.78 strategic 2 OK clt -8.7-8.78 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.97x = -17.48 strategic 1 OK divide -5.97 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.97x/-5.97 = -17.48/-5.97 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -17.48/-5.97 right 1 OK right 2.92797 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 8.78+(-4.34x) = -8.7+1.63x strategic 2 OK answer-check 2.9280 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79) = -3.12+2.64y strategic 1 BUG subtract 5.79 Since -5.79 is negative, you should add to remove it from the both side. Erase your last step and add 5.79 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:56:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79)-5.79 = -3.12+2.64y-5.79 left 1 OK left 2.87y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:56:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.87y = -3.12+2.64y-5.79 right 1 OK right -3.12+2.64x-5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79) = -3.12+2.64y strategic 2 BUG subtract 5.79 Since -5.79 is negative, you should add to remove it from the both side. Erase your last step and add 5.79 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79)-5.79 = -3.12+2.64y-5.79 left 2 OK left 2.81y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y = -3.12+2.64y-5.79 right 1 OK right -3.12+2.64y-5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y = -3.12+2.64y-5.79 strategic 1 OK subtract 2.64y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y-2.64y = -3.12+2.64y-5.79-2.64y left 1 OK left 0.17y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = -3.12+2.64y-5.79-2.64y right 1 OK right -3.12-5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:57:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = -3.12-5.79 strategic 1 OK clt -3.12-5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:11.0 HINT HINT HW_CONDN3 HW_CONDN3-8 EG61 FinalAnswer strategic 1 INITIAL_HINT Simplify the expression [-3.12]+[-5.79]. HINT 1 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 FinalAnswer strategic 2 OK -8.91 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = -3.12-5.79 strategic 2 OK clt -3.12-5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = -8.91 strategic 1 OK divide 0.17 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y/0.17 = -8.91/0.17 right 1 OK right -52.41176 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y/0.17 = -52.41176471 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:58:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79) = -3.12+2.64y strategic 3 ERROR answer-check -52.4118 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:59:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79) = -3.12+2.64y strategic 4 OK add 5.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:59:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79)+5.79 = -3.12+2.64y+5.79 left 1 OK left 2.81y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:59:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y = -3.12+2.64y+5.79 right 1 OK right 2.64y+2.67 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 09:59:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y = 2.64y+2.67 strategic 1 OK subtract 2.64y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y-2.64y = 2.64y+2.67-2.64y left 1 OK left 0.17y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = 2.64y+2.67-2.64y right 1 OK right 2.67 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y = 2.67 strategic 1 OK divide 0.17 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.17y/0.17 = 2.67/0.17 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = 2.67/0.17 right 1 OK right 15.70588 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:00:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.81y+(-5.79) = -3.12+2.64y strategic 5 OK answer-check 15.7059 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.6+(-8.93x) = -5.8+1.48x strategic 1 OK subtract 0.6 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.6+(-8.93x)-0.6 = -5.8+1.48x-0.6 left 1 OK left -8.93x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x = -5.8+1.48x-0.6 right 1 OK right 1.48x-6.4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x = 1.48x-6.4 strategic 1 ERROR subtract 1.48 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x-1.48 = 1.48x-6.4-1.48 right 1 OK right -6.4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x-1.48 = -6.4 left 1 OK left -10.41x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:01:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.41x = -6.4 strategic 1 OK divide -10.41 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:02:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.41x/-10.41 = -6.4/-10.41 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -6.4/-10.41 right 1 OK right 0.6148 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x = 1.48x-6.4 strategic 2 ERROR subtract 1.48 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x-1.48 = 1.48x-6.4-1.48 left 1 OK left 10.41x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 10.41x = 1.48x-6.4-1.48 right 1 OK right -6.4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x = 1.48x-6.4 strategic 3 OK subtract 1.48x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.93x-1.48x = 1.48x-6.4-1.48x left 1 OK left -10.41 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.41 = 1.48x-6.4-1.48x right 1 OK right -6.4 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.41 = -6.4 strategic 1 BUG divide -10.41 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:03:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.41/-10.41 = -6.4/-10.41 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:04:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -6.4/-10.41 right 2 OK right 0.6148 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:04:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.6+(-8.93x) = -5.8+1.48x strategic 2 OK answer-check 0.6148 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:04:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.99+(-5.84y) = -5.96+5.15y strategic 1 OK add 4.99 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:04:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.99+(-5.84y)+4.99 = -5.96+5.15y+4.99 left 1 OK left -5.84y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:04:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.84y = -5.96+5.15y+4.99 right 1 OK right 5.15y-0.97 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.84y = 5.15y-0.97 strategic 1 OK subtract 5.15y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.84y-5.15y = 5.15y-0.97-5.15y left 1 OK left -10.99y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.99y = 5.15y-0.97-5.15y right 1 OK right -0.97 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.99y = -0.97 strategic 1 OK divide -10.99 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -10.99y/-10.99 = -0.97/-10.99 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -0.97/-10.99 right 1 OK right 0.0883 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:05:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.99+(-5.84y) = -5.96+5.15y strategic 2 OK answer-check 0.0883 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 52.53+67.35x = -59.52+88.59x strategic 1 OK answer-check 5.2754 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:06:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 85.96x+(-96.19) = 26.56+64.17x strategic 1 OK add 96.19 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:06:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 85.96x = 122.75+64.17x strategic 1 OK subtract 64.17x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 21.79x = 122.75 strategic 1 OK divide 21.79 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:06:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 85.96x+(-96.19) = 26.56+64.17x strategic 2 OK answer-check 5.6333 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -5103.39+(-804.11y) = 292.34y+864.09 strategic 1 ERROR subtract 804.11y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -5103.39+(-804.11y) = 292.34y+864.09 strategic 2 OK add 5103.39 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -804.11y = 292.34y+5967.48 strategic 1 OK subtract 292.34y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -1096.45y = 5967.48 strategic 1 BUG divide -1096.45y Dividing anything by itself will leave 1. If you divide -1096.45y by -1096.45, y will be left. Erase your last step and then divide by -1096.45. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -1096.45y = 5967.48 strategic 2 BUG divide 1096.45 In this equation, y is multiplied by -1096.45. Dividing by 1096.45 leaves -y, so you still need to remove the negative sign. It is better to divide by -1096.45, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:07:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -y = 5.4425464 strategic 1 OK multiply -1 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:08:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -5103.39+(-804.11y) = 292.34y+864.09 strategic 3 OK answer-check -5.4425 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:08:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -74.2+(-7.08y) = -6.82y+43.67 strategic 1 OK add 74.2 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:09:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -7.08y = -6.82y+117.87 strategic 1 OK add 6.82y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:09:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -0.26y = 117.87 strategic 1 OK divide -0.26 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:09:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 -74.2+(-7.08y) = -6.82y+43.67 strategic 2 OK answer-check -453.3462 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:09:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x) = 61.34+82.59x strategic 1 OK add 13.64 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:09:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x)+13.64 = 61.34+82.59x+13.64 left 1 OK left -4.36x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x = 61.34+82.59x+13.64 right 1 OK right 82.59x+74.98 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x = 82.59x+74.98 strategic 1 OK subtract 82.59x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x-82.59x = 82.59x+74.98-82.59x left 1 OK left -86.95x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x = 82.59x+74.98-82.59x right 1 OK right 74.98 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x = 74.98 strategic 1 OK divide -86.95 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:10:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x/-86.95 = 74.98/-86.95 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 x = 74.98/-86.95 right 1 OK right -0.8393 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:11:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x) = 61.34+82.59x strategic 2 ERROR answer-check -0.8393 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:11:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x) = 61.34+82.59x strategic 3 OK add 13.64 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:11:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x)+13.64 = 61.34+82.59x+13.64 left 2 OK left -4.36x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x = 61.34+82.59x+13.64 right 2 OK right 82.59x+74.98 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x = 82.59x+74.98 strategic 2 OK subtract 82.59x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -4.36x-82.59x = 82.59x+74.98-82.59x left 2 OK left -86.95x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x = 82.59x+74.98-82.59x right 2 OK right 74.98 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x = 74.98 strategic 2 OK divide -86.95 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:12:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -86.95x/-86.95 = 74.98/-86.95 left 2 OK left x condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 x = 74.98/-86.95 right 2 OK right -0.8623 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -13.64+(-4.36x) = 61.34+82.59x strategic 4 OK answer-check -0.8623 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+854.77 = 2097.49+(-213.91y) strategic 1 OK subtract 854.77 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+854.77-854.77 = 2097.49+(-213.91y)-854.77 left 1 OK left -856.46y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y = 2097.49+(-213.91y)-854.77 right 1 OK right -213.91y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:13:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+854.77 = 2097.49+(-213.91y) strategic 2 OK subtract 854.77 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+854.77-854.77 = 2097.49+(-213.91y)-854.77 left 2 OK left -856.46y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:14:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y = 2097.49+(-213.91y)-854.77 right 2 OK right -213.91y+1242.72 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:14:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y = -213.91y+1242.72 strategic 1 OK add 213.91y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+213.91y = -213.91y+1242.72+213.91y left 1 OK left -642.55y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -642.55y = -213.91y+1242.72+213.91y right 1 OK right 1242.72 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -642.55y = 1242.72 strategic 1 OK divide -642.55 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -642.55y/-642.55 = 1242.72/-642.55 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = 1242.72/-642.55 right 1 OK right -1.9340 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -856.46y+854.77 = 2097.49+(-213.91y) strategic 3 OK answer-check -1.9340 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:15:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -25.8+35.97y = -6.69y+10.83 strategic 1 OK add 25.8 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -25.8+35.97y+25.8 = -6.69y+10.83+25.8 left 1 OK left 35.97y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 35.97y = -6.69y+10.83+25.8 right 1 OK right -6.69y+36.63 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 35.97y = -6.69y+36.63 strategic 1 OK add 6.69y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 35.97y+6.69y = -6.69y+36.63+6.69y left 1 OK left 42.66y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 42.66y = -6.69y+36.63+6.69y right 1 OK right 36.63 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 42.66y = 36.63 strategic 1 OK divide 42.66 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:16:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 42.66y/42.66 = 36.63/42.66 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:17:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = 36.63/42.66 right 1 OK right 0.8586 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:17:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -25.8+35.97y = -6.69y+10.83 strategic 2 OK answer-check 0.8586 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14 = -1298.92+977.99y strategic 1 OK subtract 1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14-1288.14 = -1298.92+977.99y-1288.14 left 1 OK left 952.85y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:17:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y = -1298.92+977.99y-1288.14 right 1 OK right 977.99y-2578.06 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:18:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y = 977.99y-2578.06 strategic 1 OK subtract 977.99y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y-977.99y = 977.99y-2578.06-977.99y left 1 OK left -25.14y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = 977.99y-2578.06-977.99y right 1 OK right -2578.06 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:21:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = -2578.06 strategic 1 OK divide -25.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:21:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y/-25.14 = -2578.06/-25.14 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:21:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = -2578.06/-25.14 right 1 OK right 102.5481 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:21:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14 = -1298.92+977.99y strategic 2 ERROR answer-check 102.5481 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:22:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14 = -1298.92+977.99y strategic 3 OK subtract 1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:22:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14-1288.14 = -1298.92+977.99y-1288.14 left 2 OK left 952.85y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:22:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y = -1298.92+977.99y-1288.14 right 2 OK right -1298.92+977.99y-1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:22:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y = -1298.92+977.99y-1288.14 strategic 1 OK subtract 977.99y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y-977.99y = -1298.92+977.99y-1288.14-977.99y left 1 OK left -25.14y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = -1298.92+977.99y-1288.14-977.99y right 1 OK right -1298.92-1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = -1298.92-1288.14 strategic 1 OK clt -1298.92-1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A FinalAnswer strategic 1 OK -2587.06 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = -1298.92-1288.14 strategic 2 OK clt -1298.92-1288.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:23:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y = -2587.06 strategic 1 OK divide -25.14 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -25.14y/-25.14 = -2587.06/-25.14 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A y = -2587.06/-25.14 right 1 OK right 102.9061 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 952.85y+1288.14 = -1298.92+977.99y strategic 4 OK answer-check 102.9061 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.5+38.21y = 82.04+32.97y strategic 1 OK add 81.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.5+38.21y+81.5 = 82.04+32.97y+81.5 left 1 OK left 38.21y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 38.21y = 82.04+32.97y+81.5 right 1 OK right 82.04+32.97y+81.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:24:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 38.21y = 82.04+32.97y+81.5 strategic 1 OK subtract 32.97y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 38.21y-32.97y = 82.04+32.97y+81.5-32.97y left 1 OK left 5.24y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 5.24y = 82.04+32.97y+81.5-32.97y right 1 OK right 82.04+81.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 5.24y = 82.04+81.5 strategic 1 OK clt 82.04+81.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 FinalAnswer strategic 1 OK 163.54 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 5.24y = 82.04+81.5 strategic 2 OK clt 82.04+81.5 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 5.24y = 163.54 strategic 1 OK divide 5.24 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:25:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 5.24y/5.24 = 163.54/5.24 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = 163.54/5.24 right 1 OK right 31.2099 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -81.5+38.21y = 82.04+32.97y strategic 2 OK answer-check 31.2099 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 86.35+(-8.74y) = 73.94y+(-5.12) strategic 1 OK subtract 86.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 86.35+(-8.74y)-86.35 = 73.94y+(-5.12)-86.35 left 1 OK left -8.74y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -8.74y = 73.94y+(-5.12)-86.35 right 1 OK right 73.94y+-5.12-86.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:26:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -8.74y = 73.94y-5.12-86.35 strategic 1 OK subtract 73.94y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -8.74y-73.94y = 73.94y-5.12-86.35-73.94y left 1 OK left -82.68y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -82.68y = 73.94y-5.12-86.35-73.94y right 1 OK right -5.12-86.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -82.68y = -5.12-86.35 strategic 1 OK clt -5.12-86.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 FinalAnswer strategic 1 OK -91.47 condition 3 combine-like-terms-sp cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -82.68y = -5.12-86.35 strategic 2 OK clt -5.12-86.35 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -82.68y = -91.47 strategic 1 OK divide -82.68 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:27:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -82.68y/-82.68 = -91.47/-82.68 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 y = -91.47/-82.68 right 1 OK right 1.1063 condition 3 cwctc 247w34xrp1--3--Alg I ks545SC session1 2007-04-24 10:29:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 86.35+(-8.74y) = 73.94y+(-5.12) strategic 2 OK answer-check 1.1063 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:43:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:44:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -2.06 = 5.64+2.58x strategic 1 OK answer-check -2.9845 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:44:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 40 = 31y+(-70) strategic 1 OK answer-check 110/31 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:45:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 2.53+(-8.18x) = -10.94 strategic 1 ERROR answer-check 0.4689 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 2.53+(-8.18x) = -10.94 strategic 2 OK subtract 2.53 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -8.18x = -13.47 strategic 1 OK divide -8.18 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 2.53+(-8.18x) = -10.94 strategic 3 OK answer-check 1.6467 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 90 = -4y+53 strategic 1 OK subtract 53 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 37 = -4y strategic 1 OK divide -4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:47:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 90 = -4y+53 strategic 2 OK answer-check -37/4 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:48:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 54.09y+(-97.31) = 94.71 strategic 1 OK subtract -97.31 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:48:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 54.09y = 192.02 strategic 1 OK divide 54.09 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:48:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 54.09y+(-97.31) = 94.71 strategic 2 OK answer-check 3.5500 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:48:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8428 = 7527y+(-8386) strategic 1 ERROR subtract 7527 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:49:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -15955 = 7527y-15913 strategic 1 OK add 15913 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:49:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -42 = 7527y strategic 1 OK divide 7527 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:49:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8428 = 7527y+(-8386) strategic 2 OK answer-check -14/2509 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:49:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6079+5338x = -5193 strategic 1 OK subtract -6079 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:50:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6079+5338x-(-6079) = -5193-(-6079) left 1 OK left 5338x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:50:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5338x = -5193-(-6079) right 1 OK right 886 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:51:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5338x = 886 strategic 1 OK divide 5338 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:51:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 5338x/5338 = 886/5338 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:51:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = 886/5338 right 1 OK right 0.165979767 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6079+5338x = -5193 strategic 2 OK answer-check 0.1660 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:51:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.87 = 4.55x+2.89 strategic 1 OK subtract 2.89 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:52:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.87-2.89 = 4.55x+2.89-2.89 right 1 OK right 4.55x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:52:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.87-2.89 = 4.55x left 1 OK left 0.98 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:52:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.98 = 4.55x strategic 1 OK divide 4.55 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.98/4.55 = 4.55x/4.55 left 1 OK left 0.2153846 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.21538462 = 4.55x/4.55 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 3.87 = 4.55x+2.89 strategic 2 OK answer-check 0.2154 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y+89 = -58 strategic 1 OK subtract 89 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y+89-89 = -58-89 left 1 OK left 16y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y = -58-89 right 1 OK right -147 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y = -147 strategic 1 OK divide 16 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:54:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y/16 = -147/16 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -147/16 right 1 OK right -9.1875 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:54:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 16y+89 = -58 strategic 2 OK answer-check -9.1875 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:55:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 87 = -66/y+99 strategic 1 OK answer-check 11/2 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:55:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -409/y+574 = 633 strategic 1 OK subtract 574 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:55:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -409/y = 59 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -409 = 59y strategic 1 OK divide 59 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -409/y+574 = 633 strategic 2 OK answer-check -409/59 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -96 = -91/x+58 strategic 1 OK subtract 58 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -154 = -91/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -154x = -91 strategic 1 OK divide -154 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -96 = -91/x+58 strategic 2 OK answer-check 13/22 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -88 = 10/x+(-79) strategic 1 OK subtract -79 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:56:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9 = 10/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:57:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -9x = 10 strategic 1 OK divide -9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:57:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -88 = 10/x+(-79) strategic 2 OK answer-check -10/9 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:57:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338) = -905 strategic 1 OK subtract -338 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:57:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338)-(-338) = -905-(-338) left 1 OK left -952/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:58:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y = -905-(-338) right 1 OK right -567 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y = -567 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:58:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y*y = -567y left 1 OK left 952 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:58:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952 = -567y right 1 OK right -567y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:58:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952 = -567y strategic 1 OK divide -567 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:59:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952/-567 = -567y/-567 left 1 OK left -1.679012346 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:59:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.67901235 = -567y/-567 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 09:59:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338) = -905 strategic 2 ERROR answer-check -1.6790 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:00:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.67901235 = y strategic 1 BUG rds -1.67901235 = y strategic You already solved the equation. y is -1.679. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:00:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.67901235 = y strategic 2 BUG distribute -1.67901235 = y strategic You already solved the equation. y is -1.679. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:03:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338) = -905 strategic 3 OK add 338 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:03:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338)+338 = -905+338 left 1 OK left -952/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:03:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y = -905+338 right 1 OK right -567 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:03:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y = -567 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:03:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y*y = -567y left 2 OK left 952 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:04:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952 = -567y right 2 OK right -567y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:04:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952 = -567y strategic 2 OK divide -567 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:04:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 952/-567 = -567y/-567 left 2 OK left -1.67901 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:04:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -1.67901235 = -567y/-567 right 2 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:06:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -952/y+(-338) = -905 strategic 4 OK answer-check 1.6790 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:06:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -87 = -93+(-8/x) strategic 1 OK subtract -93 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:07:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -87-(-93) = -93+(-8/x)-(-93) left 1 OK left 6 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:07:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6 = -93+(-8/x)-(-93) right 1 OK right -8/x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:07:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6 = -8/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6x = -8/x*x left 1 OK left 6x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6x = -8/x*x right 1 OK right -8 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6x = -8 strategic 1 OK divide 6 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 6x/6 = -8/6 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -8/6 right 1 OK right -1.33333 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -87 = -93+(-8/x) strategic 2 OK answer-check -1.33333 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:08:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -99 = -584/x+152 strategic 1 OK subtract 152 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -99-152 = -584/x+152-152 left 1 OK left -251 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251 = -584/x+152-152 right 1 OK right -584/x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251 = -584/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251x = -584/x*x left 1 OK left -251x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251x = -584/x*x right 1 OK right -584 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251x = -584 strategic 1 BUG divide 251 In this equation, x is multiplied by -251. Dividing by 251 leaves -x, so you still need to remove the negative sign. It is better to divide by -251, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:09:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -251x/251 = -584/251 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:10:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = -584/251 right 1 OK right -2.3266932 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:10:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -99 = -584/x+152 strategic 2 ERROR answer-check -2.3267 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:10:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -99 = -584/x+152 strategic 3 OK answer-check 2.3267 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:10:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27 = -998+797/y strategic 1 BUG subtract 998 Since -998 is negative, you should add to remove it from the right side. Erase your last step and add 998 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:10:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27-998 = -998+797/y-998 left 1 OK left -971 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:11:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971 = -998+797/y-998 right 1 OK right 797/x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:11:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971 = 797/x strategic 1 BUG multiply x You already solved the equation. -971 can never be equal to 797/x, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:11:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971x = 797/x*x left 1 OK left -971x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:11:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971x = 797/x*x right 1 OK right 797 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:11:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971x = 797 strategic 1 BUG divide -971 You already solved the equation. -971x can never be equal to 797, so there is no solution to this equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:12:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -971x/-971 = 797/-971 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:12:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A x = 797/-971 right 1 OK right -0.820803 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:12:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27 = -998+797/y strategic 2 ERROR answer-check -0.8208 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:13:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27 = -998+797/y strategic 3 ERROR subtract -988 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:13:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27 = -998+797/y strategic 4 OK subtract -998 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27-(-998) = -998+797/y-(-998) left 1 OK left 1025 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025 = -998+797/y-(-998) right 1 OK right 797/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025 = 797/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025y = 797/y*y left 1 OK left 1025y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025y = 797/y*y right 1 OK right 797 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025y = 797 strategic 1 OK divide 1025 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:14:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1025y/1025 = 797/1025 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:15:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 797/1025 right 1 OK right 0.7775609 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:15:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 27 = -998+797/y strategic 5 OK answer-check 0.7776 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:15:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -104 = 525/y+616 strategic 1 OK subtract 616 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:15:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -104-616 = 525/y+616-616 left 1 OK left -720 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720 = 525/y+616-616 right 1 OK right 525/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720 = 525/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720y = 525/y*y left 1 OK left -720y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720y = 525/y*y right 1 OK right 525 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720y = 525 strategic 1 OK divide -720 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -720y/-720 = 525/-720 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:16:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 525/-720 right 1 OK right -0.729166 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -104 = 525/y+616 strategic 2 OK answer-check -0.7292 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y+178 = -232 strategic 1 OK subtract 178 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y+178-178 = -232-178 left 1 OK left -553/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y = -232-178 right 1 OK right -410 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y = -410 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:17:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y*y = -410y left 1 OK left -553 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:18:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553 = -410y right 1 OK right -410y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:18:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553 = -410y strategic 1 OK divide -410 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:18:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/-410 = -410y/-410 left 1 OK left 1.3487804 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:18:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 1.34878049 = -410y/-410 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:18:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -553/y+178 = -232 strategic 2 OK answer-check 1.3488 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y+125 = -41 strategic 1 OK subtract 125 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y+125-125 = -41-125 left 1 OK left 412/y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y = -41-125 right 1 OK right -166 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y = -166 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y*y = -166y left 1 OK left 412 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412 = -166y right 1 OK right -166y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:19:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412 = -166y strategic 1 OK divide -166 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:20:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/-166 = -166y/-166 left 1 OK left -2.481927 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:20:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -2.48192771 = -166y/-166 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:20:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 412/y+125 = -41 strategic 2 OK answer-check -2.4819 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:20:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -1x+4 = -5x+5 strategic 1 OK subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:21:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -x = -5x+1 strategic 1 OK add 5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:21:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -1x+4 = -5x+5 strategic 2 OK answer-check 1/4 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:21:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y+7 = 6+(-4y) strategic 1 OK subtract 7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:21:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y = -1-4y strategic 1 OK add 4y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:22:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y+7 = 6+(-4y) strategic 2 ERROR answer-check -1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:22:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y+7 = 6+(-4y) strategic 3 OK answer-check 1 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:22:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+(-5y) = 4y+(-1) strategic 1 BUG subtract 4 Since -4 is negative, you should add to remove it from the both side. Erase your last step and add 4 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:22:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8-5y = 4y-5 strategic 1 BUG subtract 8 Since -8 is negative, you should add to remove it from the both side. Erase your last step and add 8 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:23:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+(-5y) = 4y+(-1) strategic 2 OK subtract -4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:23:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y = 4y+3 strategic 1 ERROR subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:23:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y-3 = 4y strategic 1 ERROR add 3 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:25:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5y-3 = 4y strategic 2 OK add 5y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -3 = 9y strategic 1 OK divide 9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:25:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+(-5y) = 4y+(-1) strategic 3 OK answer-check -1/3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:25:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+9 = 4x+8 strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x = 4x-1 strategic 1 ERROR divide 4x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:26:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -5/2 = (4x-1)/(4x) strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:26:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x = 4x-1 strategic 2 ERROR add 1 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:27:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+1 = 4x strategic 1 ERROR subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:27:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x = 4x-1 strategic 3 ERROR divide -10x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:27:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1 = -(4x-1)/(10x) strategic 1 ERROR rf 1 = -(4x-1)/(10x) strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:27:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+9 = 4x+8 strategic 2 ERROR answer-check -4x-1/10x condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:28:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+9 = 4x+8 strategic 3 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:28:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+9 = 4x+8 strategic 4 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:28:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+1 = 4x strategic 2 ERROR add 10 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:28:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+1 = 4x strategic 3 OK add 10x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:28:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1 = 14x strategic 1 OK divide 14 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:29:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -10x+9 = 4x+8 strategic 5 OK answer-check 1/14 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:29:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x+6 = 5x+(-9) strategic 1 OK add 9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:29:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x+15 = 5x strategic 1 ERROR add 5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:30:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x+6 = 5x+(-9) strategic 2 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:30:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x = 5x-15 strategic 1 ERROR add 5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:30:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 10x = 10x-15 strategic 1 ERROR add 15 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:30:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x+6 = 5x+(-9) strategic 3 ERROR add 5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:31:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x+6 = 5x+(-9) strategic 4 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:31:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x-3 = 5x-18 strategic 1 ERROR add 5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:37:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9x+3 = 3x+8 strategic 1 OK subtract 3 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:37:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9x = 3x+5 strategic 1 ERROR add 3x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12x = 6x+5 strategic 1 ERROR clt 12x = 6x+5 strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:38:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12x = 6x+5 strategic 2 OK subtract 6x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:38:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6x = 5 strategic 1 OK divide 6 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:38:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9x+3 = 3x+8 strategic 2 OK answer-check 5/6 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:38:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+1 = 3y+9 strategic 1 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:38:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y = 3y+8 strategic 1 OK subtract 3y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:39:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -11y = 8 strategic 1 OK divide -11 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:39:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -8y+1 = 3y+9 strategic 2 OK answer-check -8/11 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:39:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+2 = 2y+(-7) strategic 1 OK subtract 2 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:39:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+2-2 = 2y+(-7)-2 left 1 OK left 6y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:39:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2y+(-7)-2 right 1 OK right 2y+-9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y = 2y+(-9) strategic 1 OK subtract 2y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y-2y = 2y+(-9)-2y left 1 OK left 4y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y = 2y+(-9)-2y right 1 OK right -9 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y = -9 strategic 1 OK divide 4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 4y/4 = -9/4 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -9/4 right 1 OK right -9/4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 6y+2 = 2y+(-7) strategic 2 OK answer-check -9/4 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+(-2) = 4y+(-9) strategic 1 OK subtract -2 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:40:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+(-2)-(-2) = 4y+(-9)-(-2) left 1 OK left 2y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = 4y+(-9)-(-2) right 1 OK right 4y+-7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y = 4y+(-7) strategic 1 OK subtract 4y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y-4y = 4y+(-7)-4y left 1 OK left -2y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y = 4y+(-7)-4y right 1 OK right -7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y = -7 strategic 1 OK divide -2 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:41:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -2y/-2 = -7/-2 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:42:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = -7/-2 right 1 OK right 3.5 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:42:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 2y+(-2) = 4y+(-9) strategic 2 OK answer-check 3.5 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:42:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-5) = 9x+(-1) strategic 1 OK subtract -5 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:42:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-5)-(-5) = 9x+(-1)-(-5) left 1 OK left -5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = 9x+(-1)-(-5) right 1 OK right 9x+4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x = 9x+4 strategic 1 OK subtract 9x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x-9x = 9x+4-9x left 1 OK left -14x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -14x = 9x+4-9x right 1 OK right 4 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -14x = 4 strategic 1 OK divide -14 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:43:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -14x/-14 = 4/-14 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:44:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = 4/-14 right 1 OK right -0.285714 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:44:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -5x+(-5) = 9x+(-1) strategic 2 OK answer-check -0.2857 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:45:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7a EG61 1.04+5.02x = 2.83x+9.34 strategic 1 OK answer-check 3.79 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:45:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3.62+4.99y = 1.14+(-0.74y) strategic 1 OK subtract 3.62 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:46:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 4.99y = -2.48-0.74y strategic 1 ERROR subtract 1.14 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:46:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 4.99y = -2.48-0.74y strategic 2 ERROR subtract -2.48 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:46:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 4.99y+2.48 = -0.74y strategic 1 ERROR clt 4.99y+2.48 = -0.74y strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:46:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 4.99y+2.48 = -0.74y strategic 2 OK subtract 4.99y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 2.48 = -5.73y strategic 1 OK divide -5.73 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3.62+4.99y = 1.14+(-0.74y) strategic 2 OK answer-check -0.4328 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3.83+6.66x = 6.16x+8.96 strategic 1 OK subtract 3.83 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.66x = 6.16x+5.13 strategic 1 ERROR subtract 6.16 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 6.66x = 6.16x+5.13 strategic 2 OK subtract 6.16x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:47:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 0.5x = 5.13 strategic 1 OK divide 0.5 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:48:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 3.83+6.66x = 6.16x+8.96 strategic 2 OK answer-check 10.26 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:48:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.41x+(-3.07) = 1.85x+(-9.78) strategic 1 OK subtract -3.07 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:49:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.41x = 1.85x-6.71 strategic 1 OK subtract 1.85x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -11.26x = -6.71 strategic 1 OK divide -11.26 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:49:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-7 EG61 -9.41x+(-3.07) = 1.85x+(-9.78) strategic 2 OK answer-check 0.5959 condition 3 Consolidate variables, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:49:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77) = -9.5x+0.31 strategic 1 BUG subtract 3.77 Since -3.77 is negative, you should add to remove it from the both side. Erase your last step and add 3.77 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:50:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77)-3.77 = -9.5x+0.31-3.77 left 1 OK left 7.44x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:50:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77) = -9.5x+0.31 strategic 2 OK subtract 0.31 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:50:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77)-0.31 = -9.5x+0.31-0.31 right 1 OK right -9.5x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:51:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77)-0.31 = -9.5x left 1 OK left 7.44x+-4.08 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:51:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-4.08) = -9.5x strategic 1 OK subtract 7.44x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:51:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-4.08)-7.44x = -9.5x-7.44x left 1 OK left -4.08 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:52:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.08 = -9.5x-7.44x right 1 OK right -16.94x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.08 = -16.94x strategic 1 OK divide -16.94 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:52:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -4.08/-16.94 = -16.94x/-16.94 left 1 OK left 0.240850 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:52:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.24085006 = -16.94x/-16.94 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.44x+(-3.77) = -9.5x+0.31 strategic 3 OK answer-check 0.2409 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:53:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 1 OK subtract -9.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:53:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 2 OK subtract -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:53:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-(-8.79y) = -9.66y+(-9.7)-(-8.79y) left 1 OK left -1.12 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:54:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 3 BUG subtract 1.12 Since -1.12 is negative, you should add to remove it from the both side. Erase your last step and add 1.12 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-1.12 = -9.66y+(-9.7)-1.12 left 1 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:55:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-9.7)-1.12 right 1 OK right -9.66y+-10.82 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:55:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-10.82) strategic 1 OK subtract -9.66y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:55:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y-(-9.66y) = -9.66y+(-10.82)-(-9.66y) left 1 OK left 0.87y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:55:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y = -9.66y+(-10.82)-(-9.66y) right 1 OK right -10.82 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:55:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y = -10.82 strategic 1 OK divide 0.87 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y/0.87 = -10.82/0.87 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:56:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -10.82/0.87 right 1 OK right -12.436781 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session0 2007-04-19 10:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 4 ERROR answer-check -12.4368 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:43:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 1 OK subtract -1.12 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:43:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-(-1.12) = -9.66y+(-9.7)-(-1.12) left 1 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:44:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-9.7)-(-1.12) right 1 OK right -18.24y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:44:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -18.24y strategic 1 OK divide -8.79 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:44:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y/-8.79 = -18.24y/-8.79 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:45:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -18.24y/-8.79 right 1 OK right 2.07508 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:45:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 2 ERROR answer-check 2.0751 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:45:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 3 BUG subtract 1.12 Since -1.12 is negative, you should add to remove it from the both side. Erase your last step and add 1.12 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:45:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-1.12 = -9.66y+(-9.7)-1.12 left 1 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:46:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 4 OK subtract -9.66y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:46:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-(-9.66y) = -9.66y+(-9.7)-(-9.66y) right 1 OK right -9.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:46:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 5 OK subtract -9.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:47:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 6 OK subtract -1.12 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:47:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)-(-1.12) = -9.66y+(-9.7)-(-1.12) left 2 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:47:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-9.7)-(-1.12) right 2 OK right -18.24 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:48:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -18.24 strategic 1 BUG divide 8.79 In this equation, y is multiplied by -8.79. Dividing by 8.79 leaves -y, so you still need to remove the negative sign. It is better to divide by -8.79, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:48:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y/8.79 = -18.24/8.79 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:48:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -18.24/8.79 right 1 OK right -2.07508 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:48:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 7 ERROR answer-check -2.0751 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:49:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 8 BUG add -1.12 To remove -1.12 from the left side, you can add a positive to it. Erase your last step and add 1.12 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:49:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)+(-1.12) = -9.66y+(-9.7)+(-1.12) left 1 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:49:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-9.7)+(-1.12) right 1 OK right -9.66y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 9 BUG add -1.12 To remove -1.12 from the left side, you can add a positive to it. Erase your last step and add 1.12 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:50:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y)+(-1.12) = -9.66y+(-9.7)+(-1.12) left 2 OK left -8.79y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-9.7)+(-1.12) right 2 OK right -9.66y+-8.58 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:50:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y = -9.66y+(-8.58) strategic 1 OK add 9.66y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:51:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.79y+9.66y = -9.66y+(-8.58)+9.66y left 1 OK left 0.87y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:51:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y = -9.66y+(-8.58)+9.66y right 1 OK right -8.58 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:51:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y = -8.58 strategic 1 OK divide 0.87 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:51:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.87y/0.87 = -8.58/0.87 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:52:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -8.58/0.87 right 1 OK right -9.8621 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:52:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.12+(-8.79y) = -9.66y+(-9.7) strategic 10 OK answer-check -9.8621 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:52:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 1 ERROR add -6.49 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:52:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15+(-6.49) = 5.34y+6.17+(-6.49) left 1 OK left 1.15 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:53:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15 = 5.34y+6.17+(-6.49) right 1 OK right 5.34y+-0.32 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:53:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15 = 5.34y+(-0.32) strategic 1 ERROR clt 1.15 = 5.34y+(-0.32) strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15 = 5.34y+(-0.32) strategic 2 OK subtract -0.32 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15-(-0.32) = 5.34y+(-0.32)-(-0.32) right 1 OK right 5.34y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:54:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15-(-0.32) = 5.34y left 1 OK left 1.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:54:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.47 = 5.34y strategic 1 OK divide 5.34 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:54:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.47/5.34 = 5.34y/5.34 left 1 OK left 0.275280 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:54:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.2752809 = 5.34y/5.34 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:54:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 2 ERROR answer-check 0.2753 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:55:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 3 ERROR answer-check -0.2753 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 4 OK subtract 1.15 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15-1.15 = 5.34y+6.17-1.15 left 1 OK left -6.49y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y = 5.34y+6.17-1.15 right 1 OK right 10.36y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:58:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 5 OK add 6.49y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:58:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15+6.49y = 5.34y+6.17+6.49y left 1 OK left 1.15 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:59:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15 = 5.34y+6.17+6.49y right 1 OK right 18y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 09:59:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15 = 18y strategic 1 OK divide 18 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:00:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.15/18 = 18y/18 left 1 OK left 0.0638888 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.06388889 = 18y/18 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:00:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 6 ERROR answer-check 0.0639 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:00:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 7 OK subtract 1.15 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:00:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15-1.15 = 5.34y+6.17-1.15 left 2 OK left -6.49y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y = 5.34y+6.17-1.15 right 2 OK right 5.34y+5.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:01:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y = 5.34y+5.02 strategic 1 OK subtract 5.34y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y-5.34y = 5.34y+5.02-5.34y left 1 OK left -11.83y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -11.83y = 5.34y+5.02-5.34y right 1 OK right 5.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -11.83y = 5.02 strategic 1 OK divide -11.83 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -11.83y/-11.83 = 5.02/-11.83 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -6.49y+1.15 = 5.34y+6.17 strategic 8 OK answer-check -0.4243 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:02:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 1 OK subtract 4.25 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:03:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25-4.25 = -5.47+5.38y-4.25 left 1 OK left -8.17y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:04:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 2 OK subtract 5.38y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:04:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25-5.38y = -5.47+5.38y-5.38y right 1 OK right -5.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:05:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25-5.38y = -5.47 left 1 OK left 7.04y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:05:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04y = -5.47 strategic 1 OK divide 7.04 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:05:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.04y/7.04 = -5.47/7.04 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:06:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -5.47/7.04 right 1 OK right -0.776988 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:06:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 3 ERROR answer-check -0.7770 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 4 OK add 5.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:07:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25+5.47 = -5.47+5.38y+5.47 right 1 OK right 5.38y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:07:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25+5.47 = 5.38y left 1 OK left -8.17y+9.72 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:07:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+9.72 = 5.38y strategic 1 ERROR clt -8.17y+9.72 = 5.38y strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:08:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+9.72 = 5.38y strategic 2 ERROR subtract 9.72 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:08:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+9.72-9.72 = 5.38y-9.72 left 1 OK left -8.17y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:09:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 5 OK add 8.17y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:09:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25+8.17y = -5.47+5.38y+8.17y left 1 OK left 4.25 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.25 = -5.47+5.38y+8.17y right 1 OK right 8.08y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.25 = 8.08y strategic 1 OK divide 8.08 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 4.25/8.08 = 8.08y/8.08 left 1 OK left 0.525990 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.5259901 = 8.08y/8.08 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 6 ERROR answer-check 0.5260 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:10:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 7 ERROR answer-check -0.5260 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:11:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -8.17y+4.25 = -5.47+5.38y strategic 8 OK answer-check 0.7173 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:12:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 1 BUG subtract 7.81 Since -7.81 is negative, you should add to remove it from the both side. Erase your last step and add 7.81 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:12:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y-7.81 = -3.36y+(-8.39)-7.81 left 1 OK left 7.23y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:12:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 7.23y = -3.36y+(-8.39)-7.81 right 1 OK right -19.56y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:13:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 2 OK subtract 7.23y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:13:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y-7.23y = -3.36y+(-8.39)-7.23y left 1 OK left -7.81 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:13:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81 = -3.36y+(-8.39)-7.23y right 1 OK right -4.52y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:14:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81 = -4.52y strategic 1 OK divide -4.52 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:14:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81/-4.52 = -4.52y/-4.52 left 1 OK left 1.7278776 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:14:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 1.72787611 = -4.52y/-4.52 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:14:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 3 ERROR answer-check 1.7279 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:15:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81 = -4.52y strategic 2 OK divide -4.52 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:15:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81/-4.52 = -4.52y/-4.52 left 2 OK left 0.578745 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:15:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.578745 = -4.52y/-4.52 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:15:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 4 ERROR answer-check 0.5787 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:15:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 5 ERROR answer-check -0.5787 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:16:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 6 ERROR answer-check 1.5787 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:16:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -7.81+7.23y = -3.36y+(-8.39) strategic 7 OK answer-check -0.0548 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:16:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 1 OK subtract 6.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:17:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y-6.47 = -9.65y+(-9.47)-6.47 left 1 OK left 1.48y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:17:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 2 OK subtract 1.48y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:17:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y-1.48y = -9.65y+(-9.47)-1.48y left 1 OK left 6.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:19:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47 = -9.65y+(-9.47)-1.48y right 1 OK right -9.65y+-10.95 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:19:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47 = -9.65y+(-10.95) strategic 1 ERROR clt 6.47 = -9.65y+(-10.95) strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:20:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47 = -9.65y+(-10.95) strategic 2 ERROR subtract -10.95y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:20:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47-(-10.95y) = -9.65y+(-10.95)-(-10.95y) left 1 OK left 17.42y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:20:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47 = -9.65y+(-10.95) strategic 3 OK subtract -10.95 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:21:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47-(-10.95) = -9.65y+(-10.95)-(-10.95) left 1 OK left 17.42 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:21:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.42 = -9.65y+(-10.95)-(-10.95) right 1 OK right -9.65y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:21:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.42 = -9.65y strategic 1 BUG divide 9.65 In this equation, y is multiplied by -9.65. Dividing by 9.65 leaves -y, so you still need to remove the negative sign. It is better to divide by -9.65, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.42/9.65 = -9.65y/9.65 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:22:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 17.42/9.65 = y left 1 OK left 1.8051813 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:22:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 3 ERROR answer-check 1.8052 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:22:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 4 ERROR answer-check 1.805181 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:22:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 5 ERROR answer-check -1.805181 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.47+1.48y = -9.65y+(-9.47) strategic 6 OK answer-check -1.4322 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:23:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.25y+5.24 = 2.86+(-1.55y) strategic 1 OK subtract -5.25y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:23:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.25y+5.24-(-5.25y) = 2.86+(-1.55y)-(-5.25y) left 1 OK left 5.24 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:23:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.24 = 2.86+(-1.55y)-(-5.25y) right 1 OK right 3.7y+2.86 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:24:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.24 = 3.7y+2.86 strategic 1 OK subtract 2.86 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:24:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 5.24-2.86 = 3.7y+2.86-2.86 left 1 OK left 2.38 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:24:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.38 = 3.7y+2.86-2.86 right 1 OK right 3.7y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:24:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.38 = 3.7y strategic 1 OK divide 3.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:24:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 2.38/3.7 = 3.7y/3.7 left 1 OK left 0.64324 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:25:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.64324324 = 3.7y/3.7 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:25:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -5.25y+5.24 = 2.86+(-1.55y) strategic 2 OK answer-check 0.6432 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 1 OK add 2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:25:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+2.7 = -3.08+(-3.66y)+2.7 left 1 OK left 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:26:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 2 ERROR add 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:26:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+6.27y = -3.08+(-3.66y)+6.27y left 1 OK left -2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:26:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7 = -3.08+(-3.66y)+6.27y right 1 OK right -3.08+2.61y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:26:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7 = -3.08+2.61y strategic 1 OK subtract -3.08 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7-(-3.08) = -3.08+2.61y-(-3.08) left 1 OK left 0.38 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.38 = -3.08+2.61y-(-3.08) right 1 OK right 2.61y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.38 = 2.61y strategic 1 OK divide 2.61 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.38/2.61 = 2.61y/2.61 left 1 OK left 0.145593 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 0.14559387 = 2.61y/2.61 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:27:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 3 ERROR answer-check 0.1456 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:28:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 4 BUG add -2.7 To remove -2.7 from the left side, you can add a positive to it. Erase your last step and add 2.7 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:28:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+(-2.7) = -3.08+(-3.66y)+(-2.7) left 1 OK left 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:29:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.27y = -3.08+(-3.66y)+(-2.7) right 1 OK right -3.08+-5.78 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:29:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 5 ERROR add 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:29:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+6.27y = -3.08+(-3.66y)+6.27y left 2 OK left -2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:32:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 6 OK add 2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:32:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+2.7 = -3.08+(-3.66y)+2.7 left 2 OK left 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:33:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 7 OK add 2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:33:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y+2.7 = -3.08+(-3.66y)+2.7 left 3 OK left 6.27y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:34:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.27y = -3.08+(-3.66y)+2.7 right 1 OK right -0.38+-3.66y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:34:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.27y = -0.38+(-3.66y) strategic 1 ERROR subtract -3.66 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:34:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 6.27y-(-3.66) = -0.38+(-3.66y)-(-3.66) left 1 OK left 9.93y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:35:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93y = -0.38+(-3.66y)-(-3.66) right 1 OK right -0.38 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:35:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93y = -0.38 strategic 1 OK divide 9.93 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:35:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93y/9.93 = -0.38/9.93 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:35:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 y = -0.38/9.93 right 1 OK right -0.03826 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:35:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -2.7+6.27y = -3.08+(-3.66y) strategic 8 OK answer-check -0.0383 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:36:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.36+9.93x = 0+(-3x) strategic 1 OK add 0.36 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:36:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.36+9.93x+0.36 = 0+(-3x)+0.36 left 1 OK left 9.93x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93x = 0+(-3x)+0.36 right 1 OK right 0.36+-3x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:37:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93x = 0.36+(-3x) strategic 1 OK subtract -3x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:37:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 9.93x-(-3x) = 0.36+(-3x)-(-3x) left 1 OK left 12.93x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:37:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.93x = 0.36+(-3x)-(-3x) right 1 OK right 0.36 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:37:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.93x = 0.36 strategic 1 OK divide 12.93 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:38:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 12.93x/12.93 = 0.36/12.93 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:38:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = 0.36/12.93 right 1 OK right 0.02784 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:38:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -0.36+9.93x = 0+(-3x) strategic 2 OK answer-check 0.0278 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:38:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x+(-2.7) = -9.62+0.32x strategic 1 OK add 2.7 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x+(-2.7)+2.7 = -9.62+0.32x+2.7 left 1 OK left -1.26x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:39:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x = -9.62+0.32x+2.7 right 1 OK right -6.92+0.32x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:39:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x = -6.92+0.32x strategic 1 ERROR subtract 0.32 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:40:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x-0.32 = -6.92+0.32x-0.32 left 1 OK left -1.58x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:40:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.58x = -6.92+0.32x-0.32 right 1 OK right -6.92 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:40:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.58x = -6.92 strategic 1 BUG divide 1.58 In this equation, x is multiplied by -1.58. Dividing by 1.58 leaves -x, so you still need to remove the negative sign. It is better to divide by -1.58, since that would leave x. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:40:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.58x = -6.92 strategic 2 OK divide -1.58 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:40:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.58x/-1.58 = -6.92/-1.58 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:41:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 x = -6.92/-1.58 right 1 OK right 4.37974 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:41:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-8 EG61 -1.26x+(-2.7) = -9.62+0.32x strategic 2 OK answer-check 4.3797 condition 3 Add/subtract with variables on both sides, decimal. Multiply/divide, with variabless on both sides, decimal. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:41:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9a EG62 -29.75+37.63y = -95.11+(-42.49y) strategic 1 OK answer-check -0.8158 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:42:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -6204.54+(-962.73y) = -257.57y+8627.58 strategic 1 ERROR answer-check 1.4304 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:43:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -6204.54+(-962.73y) = -257.57y+8627.58 strategic 2 BUG subtract 6204.54 Since -6204.54 is negative, you should add to remove it from the both side. Erase your last step and add 6204.54 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:43:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -12409.08-962.73y = -257.57y+2423.04 strategic 1 BUG add -12409.08 To remove -12409.08 from the left side, you can add a positive to it. Erase your last step and add 12409.08 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:44:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -6204.54+(-962.73y) = -257.57y+8627.58 strategic 3 OK add 6204.54 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:44:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -962.73y = -257.57y+14832.12 strategic 1 OK subtract -257.57y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:44:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -705.16y = 14832.12 strategic 1 OK divide -705.16 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:44:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -6204.54+(-962.73y) = -257.57y+8627.58 strategic 4 OK answer-check -21.0337 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:45:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y+98.36 = -98.68y+86.63 strategic 1 OK subtract 98.36 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:45:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y = -98.68y-11.73 strategic 1 ERROR subtract -98.86 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:45:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y = -98.68y-11.73 strategic 2 ERROR subtract -98.68 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:45:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y = -98.68y-11.73 strategic 3 ERROR subtract 98.68 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:46:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y-98.68 = -98.68y-110.41 strategic 1 ERROR clt 55.29y-98.68 = -98.68y-110.41 strategic condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:46:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y = -98.68y-11.73 strategic 4 OK subtract -98.68y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:46:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 153.97y = -11.73 strategic 1 OK divide 153.97 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:46:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62 55.29y+98.36 = -98.68y+86.63 strategic 2 OK answer-check -0.0762 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:47:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -260.37x+9105.41 = -547.82x+(-6097.83) strategic 1 BUG add 9105.41 Since 9105.41 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 9105.41 from both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:47:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -260.37x+9105.41 = -547.82x+(-6097.83) strategic 2 OK subtract 9105.41 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:48:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -260.37x = -547.82x-15203.24 strategic 1 ERROR subtract 15203.24 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:48:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -260.37x = -547.82x-15203.24 strategic 2 OK subtract -547.82x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:48:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 287.45x = -15203.24 strategic 1 OK divide 287.45 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:48:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -260.37x+9105.41 = -547.82x+(-6097.83) strategic 3 OK answer-check -52.8900 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:48:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 1919.35+291.59y = 2106.19+389.06y strategic 1 OK subtract 1919.35 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:49:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 291.59y = 186.84+389.06y strategic 1 OK subtract 389.06y condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:49:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A -97.47y = 186.84 strategic 1 OK divide -97.47 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:49:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-9 EG62A 1919.35+291.59y = 2106.19+389.06y strategic 2 OK answer-check -1.9169 condition 3 Consolidate variables, decimals>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:49:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x) = -62.31x+(-53.52) strategic 1 OK add 63.54 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:50:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x)+63.54 = -62.31x+(-53.52)+63.54 left 1 OK left -59.85x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:50:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85x = -62.31x+(-53.52)+63.54 right 1 OK right -62.31+10.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:50:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x) = -62.31x+(-53.52) strategic 2 OK add 63.54 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:51:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x)+63.54 = -62.31x+(-53.52)+63.54 left 2 OK left -59.85 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:51:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85 = -62.31x+(-53.52)+63.54 right 1 OK right -62.31x+10.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85 = -62.31x+10.02 strategic 1 ERROR subtract -62.31 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:52:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85-(-62.31) = -62.31x+10.02-(-62.31) left 1 OK left 2.46 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:52:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 2.46 = -62.31x+10.02-(-62.31) right 1 OK right 10.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:52:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85 = -62.31x+10.02 strategic 2 OK subtract -62.31x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85-(-62.31x) = -62.31x+10.02-(-62.31x) right 1 OK right 10.02 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -59.85-(-62.31x) = 10.02 left 1 OK left -2.46x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -2.46x = 10.02 strategic 1 OK divide -2.46 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -2.46x/-2.46 = 10.02/-2.46 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 x = 10.02/-2.46 right 1 OK right -4.07317 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x) = -62.31x+(-53.52) strategic 3 ERROR answer-check -4.0732 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62 -63.54+(-59.85x) = -62.31x+(-53.52) strategic 4 OK answer-check 4.0732 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:54:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x+200.37 = 470.72x+827.79 strategic 1 OK subtract 200.37 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:54:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x+200.37-200.37 = 470.72x+827.79-200.37 left 1 OK left 154.56x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:54:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x = 470.72x+827.79-200.37 right 1 OK right 470.72x+627.42 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:55:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x = 470.72x+627.42 strategic 1 OK subtract 470.72x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:55:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x-470.72x = 470.72x+627.42-470.72x left 1 OK left -316.16 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:55:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -316.16 = 470.72x+627.42-470.72x right 1 OK right 627.42 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:55:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x = 470.72x+627.42 strategic 2 ERROR subtract 470.72 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:56:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x-470.72 = 470.72x+627.42-470.72 left 1 OK left -316.16x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:56:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -316.16x = 470.72x+627.42-470.72 right 1 OK right 627.42 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:56:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -316.16x = 627.42 strategic 1 OK divide -316.16 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:56:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A -316.16x/-316.16 = 627.42/-316.16 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:57:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A x = 627.42/-316.16 right 1 OK right -1.98450 condition 3 cwctc 247w34xrp1--3--Alg I lU0S6m4 session1 2007-04-24 10:57:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-10 EG62A 154.56x+200.37 = 470.72x+827.79 strategic 2 OK answer-check -1.9845 condition 3 Add/subtract with variables on both sides, decimal>10000. Multiply/divide with variables on both sides, decimal>10000. cwctc 247w34xrp1--3--Alg I lV2hiFx session0 2007-04-16 13:26:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 BUG subtract -4613 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:27:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 0 = -1144y+4058 strategic 1 BUG divide 4058 You want to isolate -1144y by removing 4058 from the right side. 4058 is added to -1144y. What is the opposite of addition? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:27:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 0 = (-572y+2029)/2029 strategic 1 ERROR rf 0 = (-572y+2029)/2029 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:27:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 BUG add -4613 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:27:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -9226 = -1144y-5168 strategic 1 BUG divide -9226 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:27:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 1 = -(-1144y-5168)/9226 strategic 1 ERROR rf 1 = -(-1144y-5168)/9226 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:28:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 1 = -(-1144y-5168)/9226 strategic 2 ERROR mt 1 = -(-1144y-5168)/9226 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:29:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:29:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:29:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:30:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 2 BUG rds 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 ERROR answer-check -0.684 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:30:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 3 BUG distribute 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:31:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 2029/572 = y strategic 4 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:31:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 5 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:31:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -72.24x+(-23.41) = 41.14 strategic 1 BUG add -23.41 To remove -23.41 from the left side, you can add a positive to it. Erase your last step and add 23.41 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -72.24x-46.82 = 17.73 strategic 1 ERROR divide -7224 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:31:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -(-72.24x-46.82)/7224 = -0.00245432 strategic 1 ERROR rf -(-72.24x-46.82)/7224 = -0.00245432 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:32:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42 -72.24x+(-23.41) = 41.14 strategic 2 OK answer-check -0.8935 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:32:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+1863 = -3586 strategic 1 BUG subtract -1863 To remove 1863 from the left side, you can subtract a positive from it. Erase your last step and subtract 1863 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:32:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+3726 = -1723 strategic 1 OK divide -880 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -(-880x+3726)/880 = 1723/880 strategic 1 ERROR rf -(-880x+3726)/880 = 1723/880 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:32:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+1863 = -3586 strategic 2 ERROR answer-check 880 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:33:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+1863 = -3586 strategic 3 ERROR answer-check 1.957 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:34:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+3726 = -1723 strategic 2 BUG divide -1723 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:34:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -(-880x+3726)/1723 = 1 strategic 1 ERROR rf -(-880x+3726)/1723 = 1 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:34:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+1863 = -3586 strategic 4 ERROR answer-check 1723 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:34:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -880x+1863 = -3586 strategic 5 OK answer-check 6.192 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 1 ERROR add 34.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 37.07 = 36.7-5.18y strategic 1 ERROR divide 45.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.82049579 = 0.02213369(36.7-5.18y) strategic 1 ERROR mt 0.82049579 = 0.02213369(36.7-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.82049579 = 0.02213369(36.7-5.18y) strategic 2 ERROR rf 0.82049579 = 0.02213369(36.7-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 2 ERROR answer-check 13088 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:35:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 3 ERROR add 2444 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:36:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2446.89 = 2446.52-5.18y strategic 1 ERROR divide 5.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:36:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 472.37258687 = 0.19305019(2446.52-5.18y) strategic 1 ERROR rf 472.37258687 = 0.19305019(2446.52-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:36:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 4 BUG add 2.89 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:36:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 5.78 = 5.41-5.18y strategic 1 BUG divide 5.78 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:36:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 1 = 0.17301038(5.41-5.18y) strategic 1 ERROR rf 1 = 0.17301038(5.41-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:37:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 5 ERROR add 34.69 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:37:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 37.58 = 37.21-5.18y strategic 1 ERROR divide 45.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:37:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.83178398 = 0.02213369(37.21-5.18y) strategic 1 ERROR rf 0.83178398 = 0.02213369(37.21-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:38:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 6 ERROR answer-check 37.21 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:39:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 2.89 = 2.52+(-5.18y) strategic 7 ERROR add 45.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:39:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 48.07 = 47.7-5.18y strategic 1 ERROR divide 59.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lV2hiFx session0 2007-04-16 13:39:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 0.81295451 = 0.01691189(47.7-5.18y) strategic 1 ERROR rf 0.81295451 = 0.01691189(47.7-5.18y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I lhWq6e2 session0 2007-04-19 11:59:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 11:59:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 11:59:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 11:59:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -8.97 = -14.66x+4.62 strategic 1 OK subtract 4.62 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 11:59:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -13.59 = -14.66x strategic 1 OK divide -14.66 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:00:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -57 = -90+54y strategic 1 OK subtract -90 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:00:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 33 = 54y strategic 1 OK divide 54 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -89 = -2y+22 strategic 1 OK subtract 22 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:00:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -111 = -2y strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:01:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 14.86y+(-9.09) = -3.31 strategic 1 OK subtract -9.09 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:01:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 14.86y = 5.78 strategic 1 OK divide 14.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:01:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 9093+2180y = 5464 strategic 1 OK subtract 9093 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:01:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 2180y = -3629 strategic 1 OK divide 2180 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:02:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -4325+9768x = 1050 strategic 1 OK subtract -4325 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:03:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -4325+9768x = 1050 strategic 2 OK subtract -4325 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:03:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -4325+9768x-(-4325) = 1050-(-4325) left 1 OK left 9768x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:04:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9768x = 1050-(-4325) right 1 BUG right -5375 You need to calculate 1050 minus -4325, not -4325 minus 1050. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:04:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9768x = 1050-(-4325) right 2 OK right 5375 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:05:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9768x = 5375 strategic 1 OK divide 9768 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:05:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9768x/9768 = 5375/9768 right 1 OK right 0.5502 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:05:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9768x/9768 = 0.55026618 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:06:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -6.29+(-2.88y) = 8.34 strategic 1 OK subtract -6.29 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:07:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -6.29+(-2.88y)-(-6.29) = 8.34-(-6.29) left 1 OK left -2.88y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:07:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -2.88y = 8.34-(-6.29) right 1 ERROR right 14.36 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:07:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -2.88y = 8.34-(-6.29) right 2 OK right 14.63 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:08:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -2.88y = 14.63 strategic 1 OK divide -2.88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:08:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -2.88y/-2.88 = 14.63/-2.88 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:08:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = 14.63/-2.88 right 1 OK right -5.0798 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:08:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.53 = -12.7y+(-13.4) strategic 1 OK subtract -13.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:08:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.53-(-13.4) = -12.7y+(-13.4)-(-13.4) right 1 BUG right -12.7 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:09:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.53-(-13.4) = -12.7y+(-13.4)-(-13.4) right 2 OK right -12.7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:09:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.53-(-13.4) = -12.7y left 1 OK left 24.93 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:09:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 24.93 = -12.7y strategic 1 OK divide -12.7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:10:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 24.93/-12.7 = -12.7y/-12.7 left 1 OK left -1.9629 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:10:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -1.96299213 = -12.7y/-12.7 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:10:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -14 = -95y+42 strategic 1 OK subtract 42 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:11:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -14-42 = -95y+42-42 left 1 OK left -56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:11:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -56 = -95y+42-42 right 1 OK right -95y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:11:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -56 = -95y strategic 1 OK divide -95 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:11:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -56/-95 = -95y/-95 left 1 ERROR left 0.2894 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:12:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -56/-95 = -95y/-95 left 2 OK left 0.5894 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:12:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 0.58947368 = -95y/-95 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:12:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y+4.4 = 10.14 strategic 1 OK subtract 4.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:12:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y+4.4-4.4 = 10.14-4.4 left 1 BUG left -11.19 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:12:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y+4.4-4.4 = 10.14-4.4 left 2 OK left -11.19y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:13:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y = 10.14-4.4 right 1 OK right 5.74 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:13:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y = 5.74 strategic 1 OK divide -11.19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:13:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -11.19y/-11.19 = 5.74/-11.19 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:13:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = 5.74/-11.19 right 1 OK right -0.5129 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:14:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9141+(-5033y) = -3619 strategic 1 OK subtract 9141 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 9141+(-5033y)-9141 = -3619-9141 left 1 OK left -5033y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:14:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5033y = -3619-9141 right 1 ERROR right -1276 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:14:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5033y = -3619-9141 right 2 OK right -12760 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:15:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5033y = -12760 strategic 1 OK divide -5033 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:15:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -5033y/-5033 = -12760/-5033 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = -12760/-5033 right 1 BUG right -2.5352 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:15:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = -12760/-5033 right 2 OK right 2.5352 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:16:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 29.98 = 0.36x+70.07 strategic 1 OK subtract 70.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:16:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 29.98-70.07 = 0.36x+70.07-70.07 left 1 OK left -40.09 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:16:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -40.09 = 0.36x+70.07-70.07 right 1 OK right 0.36x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -40.09 = 0.36x strategic 1 OK divide 0.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:17:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -40.09/0.36 = 0.36x/0.36 left 1 BUG left 111.3611 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:17:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -40.09/0.36 = 0.36x/0.36 left 2 OK left -111.3611 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:17:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -111.36111111 = 0.36x/0.36 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:18:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 748+792/x = 434 strategic 1 BUG multiply 792 To remove 792/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 792/x. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:18:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 748+792/x = 434 strategic 2 ERROR clt 748+792/x = 434 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:18:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 748+792/x = 434 strategic 3 ERROR distribute 748+792/x = 434 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:18:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 748+792/x = 434 strategic 4 OK subtract 748 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:19:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 1 BUG multiply -314 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:19:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 2 BUG multiply 792 To remove 792/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 792/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:19:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 3 ERROR distribute 792/x = -314 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:19:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 4 ERROR add x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:20:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 5 ERROR divide 792 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:20:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 6 BUG divide -314 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:20:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 7 ERROR multiply 314 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:21:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 8 ERROR rf 792/x = -314 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:21:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 9 BUG add -314 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:25:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792/x = -314 strategic 10 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:25:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 792 = -314x strategic 1 OK divide -314 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:26:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -20 = -87+47/x strategic 1 OK subtract -87 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:26:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 67 = 47/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:26:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 67x = 47 strategic 1 OK divide 67 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:27:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -891/x+(-677) = -241 strategic 1 OK subtract -677 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:27:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -891/x = 436 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:27:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -891 = 436x strategic 1 OK divide 436 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:28:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -776 = 265+(-572/x) strategic 1 OK subtract 265 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:28:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1041 = -572/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:28:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1041x = -572 strategic 1 BUG divide -572 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1041x = -572 strategic 2 OK divide -1041 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:29:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 32+(-62/x) = -10 strategic 1 OK subtract 32 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:29:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 32+(-62/x)-32 = -10-32 left 1 OK left -62/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/x = -10-32 right 1 OK right -42 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/x = -42 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/x*x = -42x left 1 BUG left 62 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:30:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/x*x = -42x left 2 OK left -62 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62 = -42x right 1 OK right -42x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62 = -42x strategic 1 OK divide -42 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/-42 = -42x/-42 left 1 ERROR left 1.4671 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:31:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -62/-42 = -42x/-42 left 2 OK left 1.4761 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:31:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 1.47619048 = -42x/-42 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:32:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/y+783 = -643 strategic 1 OK subtract 783 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:32:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/y+783-783 = -643-783 left 1 OK left -405/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:33:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/y = -643-783 right 1 OK right -1426 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/y = -1426 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:33:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/y*y = -1426y left 1 OK left -405 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405 = -1426y right 1 BUG right 1426y You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:33:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405 = -1426y right 2 OK right -1426y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:34:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405 = -1426y strategic 1 OK divide -1426 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/-1426 = -1426y/-1426 left 1 ERROR left -3.5209 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:35:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -405/-1426 = -1426y/-1426 left 2 OK left 0.2840 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:35:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 0.28401122 = -1426y/-1426 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:36:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -891+124/x = 730 strategic 1 OK subtract -891 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:36:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -891+124/x-(-891) = 730-(-891) left 1 ERROR left 124 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:36:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -891+124/x-(-891) = 730-(-891) left 2 OK left 124/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:37:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124/x = 730-(-891) right 1 OK right 1621 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:37:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124/x = 1621 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:37:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124/x*x = 1621x left 1 OK left 124 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:37:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124 = 1621x right 1 OK right 1621x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124 = 1621x strategic 1 OK divide 1621 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:38:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 124/1621 = 1621x/1621 left 1 OK left 0.0764 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:38:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 0.07649599 = 1621x/1621 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:38:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 627+(-867/x) = 996 strategic 1 OK subtract 627 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:38:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 627+(-867/x)-627 = 996-627 left 1 OK left -867/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:39:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867/x = 996-627 right 1 OK right 369 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:39:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867/x = 369 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:39:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867/x*x = 369x left 1 OK left -867 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:39:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867 = 369x right 1 OK right 369x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:40:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867 = 369x strategic 1 OK divide 369 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:40:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -867/369 = 369x/369 left 1 OK left -2.3495 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:40:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -2.3495935 = 369x/369 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:41:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10x+5 = 10+5x strategic 1 ERROR distribute 10x+5 = 10+5x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:41:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10x+5 = 10+5x strategic 2 ERROR clt 10x+5 = 10+5x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10x+5 = 10+5x strategic 3 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 10x = 5+5x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:42:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 5x = 5 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:43:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y+(-2) = 2y+(-8) strategic 1 OK subtract -2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:43:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2y = 2y-6 strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:43:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 4y-6 strategic 1 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6 = 4y strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:44:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+2y = -7y+3 strategic 1 ERROR subtract 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:44:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+2y = -7y+3 strategic 2 OK subtract -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+9y = 3 strategic 1 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:44:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9y = -5 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:45:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2+(-6x) = -1+(-6x) strategic 1 OK subtract -6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:45:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2 = -1 strategic 1 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:45:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2 = -1 strategic 2 BUG divide -1 You already solved the equation. -2 can never be equal to -1, so there is no solution to this equation. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session0 2007-04-19 12:45:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5+(-5y) = 1+9y strategic 1 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 11:59:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5-14y = 1 strategic 1 BUG add 5 Since 5 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 11:59:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5-14y = 1 strategic 2 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -14y = -4 strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0+(-8y) = 4+8y strategic 1 OK clt 0+(-8y) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG 0 0
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 0, is not one of the y terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG  8y  8y
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  8y, is not one of the constant terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG  8y Be sure to select both the term and the negative sign in front of it. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:00:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK -8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -8y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 1 ERROR clt -8y = 4+8y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 2 ERROR distribute -8y = 4+8y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 3 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:01:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 4 ERROR add 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:02:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 5 ERROR subtract 8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:02:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 6 ERROR clt -8y = 4+8y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:03:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 7 ERROR rds -8y = 4+8y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:03:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 8 ERROR mt -8y = 4+8y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:04:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 9 ERROR subtract -8 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:04:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 10 ERROR subtract 4 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:04:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 11 OK subtract -8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0+(-8y) = 4+8y strategic 2 ERROR distribute 0+(-8y) = 4+8y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0+(-8y) = 4+8y strategic 3 OK rds 0+(-8y) = 4+8y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-8y = 4+8y strategic 1 OK add 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-8y+(-0) = 4+8y+(-0) left 1 BUG left 8y You forgot the negative sign. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0-8y+(-0) = 4+8y+(-0) left 2 OK left -8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y+(-0) right 1 OK right 4+8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y = 4+8y strategic 12 OK subtract 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:05:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-8y = 4+8y-8y right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:06:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-8y = 4 left 1 OK left -8y-8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:06:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8y-8y = 4 strategic 1 OK clt -8y-8y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:06:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -16y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:07:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16y = 4 strategic 1 OK divide -16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:07:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -16y/-16 = 4/-16 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:07:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/-16 right 1 OK right -0.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:07:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y = 7y+8 strategic 1 ERROR rds 9+3y = 7y+8 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:08:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y = 7y+8 strategic 2 ERROR clt 9+3y = 7y+8 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:08:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y = 7y+8 strategic 3 ERROR distribute 9+3y = 7y+8 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:08:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y = 7y+8 strategic 4 ERROR rds 9+3y = 7y+8 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:08:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y = 7y+8 strategic 5 OK subtract 9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:08:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9+3y-9 = 7y+8-9 left 1 OK left 3y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:09:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y+8-9 right 1 OK right 7y+-1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:09:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y+(-1) strategic 1 ERROR subtract -1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:09:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y+(-1) strategic 2 ERROR clt 3y = 7y+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:09:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y+(-1) strategic 3 OK rds 3y = 7y+(-1) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:10:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y-1 strategic 1 ERROR rds 3y = 7y-1 strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:10:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y-1 strategic 2 ERROR add 1 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:11:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y = 7y-1 strategic 3 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:11:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3y-7y = 7y-1-7y left 1 OK left -4y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:11:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = 7y-1-7y right 1 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:11:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -1 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:11:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y/-4 = -1/-4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:12:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -1/-4 right 1 OK right 0.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:12:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+8x = 8+2x strategic 1 OK subtract -9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:12:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+8x-(-9) = 8+2x-(-9) left 1 OK left 8x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:13:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x = 8+2x-(-9) right 1 ERROR right 8+11x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:13:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x = 8+2x-(-9) right 2 OK right 8+2x--9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x = 8+2x+9 strategic 1 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x = 8+2x+9 strategic 2 OK clt 8+2x+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK +2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK 2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:14:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 9+8 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:15:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 2x+17 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:15:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x = 2x+17 strategic 1 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:15:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 8x-2x = 2x+17-2x left 1 OK left 6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:16:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x = 2x+17-2x right 1 OK right 2x+17-2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x = 2x+17-2x strategic 1 OK clt 2x+17-2x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:16:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK 2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:16:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK +17 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x2R1 strategic 1 OK -2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 2 ERROR x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 3 OK 2x-2x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 OK 17 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 17 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x = 17 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:17:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x/6 = 17/6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:18:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 17/6 right 1 OK right 2.8333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:19:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y+(-1.29) = -3.92+0.01y strategic 1 BUG add -1.29 To remove -1.29 from the left side, you can add a positive to it. Erase your last step and add 1.29 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:19:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y+(-1.29) = -3.92+0.01y strategic 2 ERROR clt -9.62y+(-1.29) = -3.92+0.01y strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:19:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y+(-1.29) = -3.92+0.01y strategic 3 OK subtract -1.29 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:20:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y = -2.63+0.01y strategic 1 ERROR subtract 0.01 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:20:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y = -2.63+0.01y strategic 2 ERROR add 0.01y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:20:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y = -2.63+0.01y strategic 3 ERROR subtract -2.63 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:20:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y = -2.63+0.01y strategic 4 BUG add -2.63 To remove -2.63 from the right side, you can add a positive to it. Erase your last step and add 2.63 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.62y = -2.63+0.01y strategic 5 OK subtract 0.01y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:23:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.63y = -2.63 strategic 1 OK divide -9.63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:24:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.47y+0.94 = 0.12+4.12y strategic 1 OK subtract 0.94 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:24:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.47y = -0.82+4.12y strategic 1 OK subtract 4.12y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:24:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -12.59y = -0.82 strategic 1 OK divide -12.59 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:24:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.82+(-7.19x) = -9.63x+(-8.44) strategic 1 OK subtract -7.19x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:25:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.82 = -2.44x-8.44 strategic 1 OK add 8.44 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:25:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 18.26 = -2.44x strategic 1 OK divide -2.44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:26:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.29+9.14y = 2.41y+5.99 strategic 1 OK subtract 9.14y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:26:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.29 = -6.73y+5.99 strategic 1 OK subtract 5.99 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:26:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.28 = -6.73y strategic 1 OK divide -6.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:26:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15+(-9.28x) = 5.33+1.59x strategic 1 OK subtract -9.28x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:27:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15+(-9.28x)-(-9.28x) = 5.33+1.59x-(-9.28x) left 1 OK left 3.15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:27:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = 5.33+1.59x-(-9.28x) right 1 BUG right 5.33+1.59x+-9.28x 5.33+1.59x+[-9.28x] is equal to 5.33+1.59x plus -9.28x. You need to calculate 5.33+1.59x minus -9.28x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:28:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = 5.33+1.59x-(-9.28x) right 2 OK right 5.33+1.59x--9.28x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:28:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = 5.33+1.59x+9.28x strategic 1 OK clt 5.33+1.59x+9.28x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:28:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK 5.33 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:28:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK +1.59x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x2R1 strategic 1 OK +9.28x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:29:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK 1.59x+9.28x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:29:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 5.33 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:30:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 ERROR 1.59x+9.28x+ condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:30:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = 5.33+1.59x+9.28x strategic 2 OK clt 5.33+1.59x+9.28x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 2 BUG +1.59x +1.59x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +1.59x, is not one of the constant terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:31:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 2 OK +1.59x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:31:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x2R1 strategic 2 OK +9.28x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:31:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 3 OK 5.33 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:32:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 10.87x+5.33 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = 10.87x+5.33 strategic 1 OK subtract 5.33 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:32:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15-5.33 = 10.87x+5.33-5.33 left 1 OK left -2.18 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:32:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.18 = 10.87x+5.33-5.33 right 1 OK right 10.87x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:33:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.18 = 10.87x strategic 1 OK divide 10.87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.18/10.87 = 10.87x/10.87 left 1 BUG left 0.2007 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:33:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.18/10.87 = 10.87x/10.87 left 2 OK left -0.2007 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:33:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.20055198 = 10.87x/10.87 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x+(-2.67) = 3.62x+0.71 strategic 1 OK subtract -2.67 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:34:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x+(-2.67)-(-2.67) = 3.62x+0.71-(-2.67) left 1 OK left -6.2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:35:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+0.71-(-2.67) right 1 OK right 3.62x+0.71--2.67 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:35:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+0.71+2.67 strategic 1 OK clt 3.62x+0.71+2.67 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:35:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK +0.71 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 OK +2.67 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:36:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 OK 3.62x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:36:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 OK 3.62x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:36:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 3.38 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:37:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 3.62x+3.38 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:37:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+3.38 strategic 1 ERROR subtract 3.38 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:37:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+3.38 strategic 2 ERROR subtract 3.62 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:37:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+3.38 strategic 3 ERROR add 3.38 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:38:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x = 3.62x+3.38 strategic 4 OK subtract 3.62x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:38:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x-3.62x = 3.62x+3.38-3.62x left 1 ERROR left -9.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:38:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x-3.62x = 3.62x+3.38-3.62x left 2 ERROR left 9.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:39:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x-3.62x = 3.62x+3.38-3.62x right 1 OK right 3.38 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:39:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.2x-3.62x = 3.38 left 1 OK left -9.82x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.82x = 3.38 strategic 1 OK divide -9.82 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:39:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.82x/-9.82 = 3.38/-9.82 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:40:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 3.38/-9.82 right 1 OK right -0.344 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:40:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88+4.6y = -9.03+(-2.93y) strategic 1 OK subtract 4.6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:41:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88+4.6y-4.6y = -9.03+(-2.93y)-4.6y left 1 OK left -5.88 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:41:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88 = -9.03+(-2.93y)-4.6y right 1 ERROR right -7.53y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:42:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88 = -9.03+(-2.93y)-4.6y right 2 OK right -9.03+-7.53y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:42:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88 = -9.03+(-7.53y) strategic 1 OK subtract -9.03 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:43:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.88-(-9.03) = -9.03+(-7.53y)-(-9.03) left 1 OK left 3.15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:43:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = -9.03+(-7.53y)-(-9.03) right 1 OK right -9.03+-7.53y--9.03 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:43:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = -9.03-7.53y+9.03 strategic 1 OK clt -9.03-7.53y+9.03 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:44:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK -9.03 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:44:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 1 BUG -7.53y -7.53y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7.53y, is not one of the constant terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:44:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y1R1 strategic 1 OK -7.53y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:44:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms2R1 strategic 2 OK +9.03 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 yR2 strategic 1 OK -7.53y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:45:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:45:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -7.53y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:45:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15 = -7.53y strategic 1 OK divide -7.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:46:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15/-7.53 = -7.53y/-7.53 left 1 ERROR left -0.41 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:46:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.15/-7.53 = -7.53y/-7.53 left 2 OK left -0.4183 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session1 2007-04-24 12:46:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.41832669 = -7.53y/-7.53 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 11:58:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99 = -8.31x+(-9.7) strategic 1 BUG add -9.7 To remove -9.7 from the right side, you can add a positive to it. Erase your last step and add 9.7 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 11:59:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99 = -8.31x+(-9.7) strategic 2 ERROR clt 6.55x+5.99 = -8.31x+(-9.7) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 11:59:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99 = -8.31x+(-9.7) strategic 3 BUG add -9.7 To remove -9.7 from the right side, you can add a positive to it. Erase your last step and add 9.7 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 11:59:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99 = -8.31x+(-9.7) strategic 4 OK subtract -8.31x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99-(-8.31x) = -8.31x+(-9.7)-(-8.31x) left 1 OK left 6.55x+5.99--8.31x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99+8.31x = -8.31x+(-9.7)-(-8.31x) right 1 OK right -9.7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.55x+5.99+8.31x = -9.7 strategic 1 OK clt 6.55x+5.99+8.31x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 1 BUG +5.99 +5.99
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5.99, is not one of the x terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant terms1R1 strategic 1 OK +5.99 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x2R1 strategic 1 OK +8.31x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:00:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x1R1 strategic 2 OK 6.55x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:01:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 BUG 8.31x+12.53x 8.31x+12.53x
Perhaps you should fill in all the x terms above. BUG condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:02:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 1 ERROR 8.31x+6.55 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:02:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 xR2 strategic 2 OK 8.31x+6.55x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:02:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 constant termsR2 strategic 1 OK 5.99 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:03:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 ERROR 8.31x+12.53 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:04:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 ERROR 12.85 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:04:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 ERROR 14.86 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:04:52.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 5 INITIAL_HINT 14.86 Above, you have [8.31x+6.55x]+[5.99]. Enter 14.86x+5.99 as your result. HINT 1 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:05:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 6 OK 14.86x+5.99 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:05:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.86x+5.99 = -9.7 strategic 1 OK subtract 5.99 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:05:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.86x+5.99-5.99 = -9.7-5.99 left 1 OK left 14.86x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:06:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.86x = -9.7-5.99 right 1 OK right -15.69 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:06:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.86x = -15.69 strategic 1 OK divide 14.86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:06:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 14.86x/14.86 = -15.69/14.86 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:06:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -15.69/14.86 right 1 BUG right 1.0558 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session2 2007-04-26 12:06:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -15.69/14.86 right 2 OK right -1.0558 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session3 2007-05-01 12:41:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y = -5.82y+(-8.09) strategic 1 ERROR subtract 4.78 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session3 2007-05-01 12:41:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y = -5.82y+(-8.09) strategic 2 OK subtract -6.35 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session3 2007-05-01 12:42:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y-(-6.35) = -5.82y+(-8.09)-(-6.35) left 1 OK left 4.78y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session3 2007-05-01 12:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.78y = -5.82y+(-8.09)-(-6.35) right 1 ERROR right -5.82y+(8.09)-(-6.35) condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session3 2007-05-01 12:45:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.78y = -5.82y+(-8.09)-(-6.35) right 2 ERROR right -5.82+-1.74 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session4 2007-05-03 12:43:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y = -5.82y+(-8.09) strategic 1 OK rds -6.35+4.78y = -5.82y+(-8.09) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session4 2007-05-03 12:43:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y = -5.82y-8.09 strategic 1 OK add 8.09 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I lhWq6e2 session4 2007-05-03 12:44:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35+4.78y = -5.82y-8.09 strategic 2 OK subtract -8.09 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I nag5fy8 session0 2007-04-27 08:27:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:28:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:29:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -6.53+13.53y = -5.36 strategic 1 OK subtract -6.53 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:29:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A 13.53y = 1.17 strategic 1 BUG divide 1.17 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:29:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A 13.53y = 1.17 strategic 2 OK divide 13.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:29:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 1997 = -359+5319x strategic 1 OK subtract -359 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:30:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 2356 = 5319x strategic 1 OK divide 5319 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:31:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -9577 = -9352y+5867 strategic 1 OK subtract 5867 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:31:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -15444 = -9352y strategic 1 OK divide -9352 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -5.46 = 3.06+(-6.46x) strategic 1 ERROR subtract -6.46 condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:32:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -5.46 = 3.06+(-6.46x) strategic 2 OK rds -5.46 = 3.06+(-6.46x) strategic condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:32:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -5.46 = 3.06-6.46x strategic 1 OK subtract 3.06 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:32:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -8.52 = -6.46x strategic 1 OK divide -6.46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 2.88 = 6.78y+3.3 strategic 1 OK subtract 3.3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:34:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C -0.42 = 6.78y strategic 1 OK divide 6.78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:41:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -44+5x = -16 strategic 1 OK subtract -44 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:41:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -44+5x-(-44) = -16-(-44) left 1 OK left 5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:42:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x = -16-(-44) right 1 BUG right -60 -60 is equal to -16 plus -44. You need to calculate -16 minus -44. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:42:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x = -16-(-44) right 2 ERROR right 32 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:42:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x = -16-(-44) right 3 BUG right -16-44 -16-44 is equal to -16 plus -44. You need to calculate -16 minus -44. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x = -16-(-44) right 4 OK right 28 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:49:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x = 28 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:50:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 5x/5 = 28/5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:50:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 x = 28/5 right 1 OK right 5.6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:55:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.1 = 11.54+1.52y strategic 1 OK subtract 11.54 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:55:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.1-11.54 = 11.54+1.52y-11.54 left 1 BUG left 7.1 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:55:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.1-11.54 = 11.54+1.52y-11.54 left 2 ERROR left -4.3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:56:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 7.1-11.54 = 11.54+1.52y-11.54 left 3 OK left -4.44 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:58:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -4.44 = 11.54+1.52y-11.54 right 1 OK right 1.52y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:58:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -4.44 = 1.52y strategic 1 OK divide 1.52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:59:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -4.44/1.52 = 1.52y/1.52 left 1 BUG left 2.9210 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:59:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -4.44/1.52 = 1.52y/1.52 left 2 OK left -2.9210 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 08:59:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -2.92105263 = 1.52y/1.52 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:05:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -3.88+(-9.19x) = 14.99 strategic 1 ERROR distribute -3.88+(-9.19x) = 14.99 strategic condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:05:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -3.88+(-9.19x) = 14.99 strategic 2 OK rds -3.88+(-9.19x) = 14.99 strategic condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:05:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -3.88-9.19x = 14.99 strategic 1 OK add 3.88 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:05:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -3.88-9.19x+3.88 = 14.99+3.88 left 1 OK left -9.19x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:06:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.19x = 14.99+3.88 right 1 OK right 18.87 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:26:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.19x = 18.87 strategic 1 OK divide -9.19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -9.19x/-9.19 = 18.87/-9.19 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:30:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C x = 18.87/-9.19 right 1 OK right -2.053 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214 = -324+(-4342y) strategic 1 ERROR distribute 7214 = -324+(-4342y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214 = -324+(-4342y) strategic 2 OK rds 7214 = -324+(-4342y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214 = -324-4342y strategic 1 BUG add -324 To remove -324 from the right side, you can add a positive to it. Erase your last step and add 324 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:34:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214 = -324-4342y strategic 2 OK add 324 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:34:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214+324 = -324-4342y+324 left 1 ERROR left 7535 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session0 2007-04-27 09:35:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214+324 = -324-4342y+324 left 2 ERROR left 7535.9466 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:30:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7214+324 = -324-4342y+324 left 1 OK left 7538 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:30:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538 = -324-4342y+324 right 1 BUG right 4342y You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:30:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538 = -324-4342y+324 right 2 OK right -4342y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:30:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538 = -4342y strategic 1 OK divide -4342 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:31:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538/-4342 = -4342y/-4342 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:31:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538/-4342 = y left 1 ERROR left 1.76 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538/-4342 = y left 2 ERROR left 1.7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:31:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 7538/-4342 = y left 3 OK left -1.736 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:32:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.72 = -1.96+8.73y strategic 1 OK subtract -1.96 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:37:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.72-(-1.96) = -1.96+8.73y-(-1.96) left 1 BUG left 8.76 8.76 is equal to 10.72 plus -1.96. You need to calculate 10.72 minus -1.96. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:37:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.72-(-1.96) = -1.96+8.73y-(-1.96) left 2 ERROR left 12.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:40:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.72-(-1.96) = -1.96+8.73y-(-1.96) left 3 OK left 12.68 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:40:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 12.68 = -1.96+8.73y-(-1.96) right 1 OK right 8.73y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:53:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 12.68 = 8.73y strategic 1 OK divide 8.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:53:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 12.68/8.73 = 8.73y/8.73 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I nag5fy8 session1 2007-05-04 08:53:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 12.68/8.73 = y left 1 OK left 1.452 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I p4gBT00 session0 2007-04-26 08:35:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.547 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:38:51.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43A -3326+8208x = -9067 strategic 1 OK answer-check -0.699 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:41:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B -7.64 = -12.55y+(-3.96) strategic 1 OK answer-check 0.2932 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:46:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3188y+8695 = -4588 strategic 1 ERROR answer-check -1.5276 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:48:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3188y+8695 = -4588 strategic 2 ERROR answer-check 0.0479 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:48:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3188y+8695 = -4588 strategic 3 ERROR answer-check 0.0579 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:54:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -3188y+8695 = -4588 strategic 4 OK answer-check 4.166 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 08:58:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -10.01y+2.23 = -10.39 strategic 1 OK answer-check 1.2607 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:00:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -75 = -38+13x strategic 1 ERROR answer-check 8.6923 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:02:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -75 = -38+13x strategic 2 ERROR answer-check 2.8461 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:04:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -75 = -38+13x strategic 3 ERROR answer-check -8.6923 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:05:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -75 = -38+13x strategic 4 OK answer-check -2.8462 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:11:07.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -9.3 = -89.47y+(-98.57) strategic 1 ERROR answer-check 1.2056 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:11:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -9.3 = -89.47y+(-98.57) strategic 2 ERROR answer-check -1.2056 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:14:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -9.3 = -89.47y+(-98.57) strategic 3 OK answer-check -0.9977 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:17:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 65+17x = 7 strategic 1 OK answer-check -3.4117 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:28:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -12.19 = 0.26x+3.94 strategic 1 OK answer-check -62.0384 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:31:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 7.16y+(-7.12) = 2.32 strategic 1 ERROR answer-check 1.3016 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:31:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 7.16y+(-7.12) = 2.32 strategic 2 ERROR answer-check -1.3016 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:34:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 7.16y+(-7.12) = 2.32 strategic 3 ERROR answer-check -0.0067 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session0 2007-04-26 09:35:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 7.16y+(-7.12) = 2.32 strategic 4 OK answer-check 1.3184 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:30:37.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -29+43y = 13 strategic 1 OK answer-check 0.9767 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:34:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -41.13 = -66.83+50.13x strategic 1 ERROR answer-check 2.1536 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:35:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -41.13 = -66.83+50.13x strategic 2 ERROR answer-check -2.1536 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:38:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -41.13 = -66.83+50.13x strategic 3 ERROR answer-check 2.2536 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:38:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 -41.13 = -66.83+50.13x strategic 4 OK answer-check 0.5127 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:44:29.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A -4239 = -3128+(-9071y) strategic 1 OK answer-check 0.1224 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:46:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -10.24 = 8.47x+9.02 strategic 1 ERROR answer-check -2.2774 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:47:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -10.24 = 8.47x+9.02 strategic 2 ERROR answer-check 2.2774 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:48:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -10.24 = 8.47x+9.02 strategic 3 ERROR answer-check -0.1440 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:49:57.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -10.24 = 8.47x+9.02 strategic 4 OK answer-check -2.2739 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:52:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1298 = 9981+941y strategic 1 OK answer-check -9.2274 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:54:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 3.48+1.05y = 8.69 strategic 1 OK answer-check 4.9619 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:56:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -11.77 = 10.16x+13.1 strategic 1 OK answer-check -2.4478 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 08:58:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A 7932 = 1851+2562y strategic 1 OK answer-check 2.3735 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:03:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -28 = 67+(-54x) strategic 1 OK answer-check 1.7592 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:06:47.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59A -337 = -644+923/y strategic 1 OK answer-check 3.0065 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:17:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18 = -78/y+(-33) strategic 1 ERROR answer-check 0.6538 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:18:05.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18 = -78/y+(-33) strategic 2 ERROR answer-check -0.6538 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:26:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18 = -78/y+(-33) strategic 3 ERROR answer-check 0.1923 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:27:20.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18 = -78/y+(-33) strategic 4 ERROR answer-check 5.2 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:27:46.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18 = -78/y+(-33) strategic 5 OK answer-check -5.2 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:30:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 336 = 730/y+501 strategic 1 OK answer-check -4.4242 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:34:14.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -905/x+(-186) = -68 strategic 1 ERROR answer-check -9.05 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I p4gBT00 session1 2007-05-03 09:37:34.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A -905/x+(-186) = -68 strategic 2 ERROR answer-check 3.5629 condition 4 Remove variable from denominator. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:37:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 3.547202797 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:39:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42C 9.15 = 4.99y+13.49 strategic 1 OK answer-check -0.8697 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:41:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 36+19x = 40 strategic 1 OK answer-check 0.210526316 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:42:55.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -88 = -14y+(-64) strategic 1 OK answer-check 1.714285714 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:46:52.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -10.65x+1.39 = -13.43 strategic 1 ERROR answer-check -1.391549296 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:49:26.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -10.65x+1.39 = -13.43 strategic 2 ERROR answer-check 0.718623482 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:53:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -10.65x+1.39 = -13.43 strategic 3 ERROR answer-check -0.1305 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:56:21.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C -10.65x+1.39 = -13.43 strategic 4 OK answer-check 1.3915 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 08:59:03.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1535+3640x = 6664 strategic 1 OK answer-check 1.409065934 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:02:11.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.13+(-1.37y) = 10.25 strategic 1 ERROR answer-check -1.458431155 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:05:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.13+(-1.37y) = 10.25 strategic 2 ERROR answer-check 11.22627737 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:05:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.13+(-1.37y) = 10.25 strategic 3 ERROR answer-check 1.3921 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:08:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B -5.13+(-1.37y) = 10.25 strategic 4 OK answer-check -11.2263 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:14:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6522x+2479 = -7160 strategic 1 ERROR answer-check 1.477920883 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:20:43.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6522x+2479 = -7160 strategic 2 ERROR answer-check 0.976190476 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:21:54.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6522x+2479 = -7160 strategic 3 ERROR answer-check 41/12 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:22:15.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 6522x+2479 = -7160 strategic 4 OK answer-check -1.4779 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:24:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 22.38 = -98.99y+74.9 strategic 1 ERROR answer-check -0.530558642 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:25:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 22.38 = -98.99y+74.9 strategic 2 OK answer-check 0.530558642 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:27:17.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -63 = 94+(-75x) strategic 1 ERROR answer-check -2.09333333 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:28:19.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -63 = 94+(-75x) strategic 2 OK answer-check 2.09333333 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:29:50.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.22+(-1.28x) = 0.48 strategic 1 ERROR answer-check -5.265625 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:30:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A 7.22+(-1.28x) = 0.48 strategic 2 OK answer-check 5.265625 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:31:35.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 5.03y+1.07 = -1.15 strategic 1 OK answer-check -0.441351889 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:32:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 81 = 19+71x strategic 1 OK answer-check 0.873239437 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:34:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 21.03+(-39.44x) = 35.01 strategic 1 ERROR answer-check 0.354462475 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:34:49.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42 21.03+(-39.44x) = 35.01 strategic 2 OK answer-check -0.354462475 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:36:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -35+46y = -22 strategic 1 ERROR answer-check -0.282608696 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:36:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -35+46y = -22 strategic 2 OK answer-check 0.282608696 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:37:39.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 9.47+6.18y = -5.62 strategic 1 ERROR answer-check 2.441747573 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rju8f7v session0 2007-04-26 09:37:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 9.47+6.18y = -5.62 strategic 2 OK answer-check -2.441747573 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I rnuvL80 session88 2007-04-20 09:46:11.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 1,144y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:46:44.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR multiply 1,144y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:46:48.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:47:32.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:47:33.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 1 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:47:48.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 5 BUG divide 555 You want to isolate -1144y by removing -555 from the right side. 555 is subtracted from -1144y. What is the opposite of subtraction? BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:48:00.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 6 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:48:30.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide -1,144y Dividing anything by itself will leave 1. If you divide -1144y by -1144, y will be left. Erase your last step and then divide by -1144. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:49:06.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 BUG divide -1,144y Dividing anything by itself will leave 1. If you divide -1144y by -1144, y will be left. Erase your last step and then divide by -1144. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:49:34.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:49:38.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 2 HINT_LEVEL_CHANGE -1144y is -1144 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:49:56.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 4 ERROR multiply -1,144y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:50:48.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 5 BUG divide -1,144y Dividing anything by itself will leave 1. If you divide -1144y by -1144, y will be left. Erase your last step and then divide by -1144. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:50:56.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:50:57.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 3 HINT_LEVEL_CHANGE -1144y is -1144 times y. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:51:01.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1144. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:51:55.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 7 ERROR divide 1,144y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:05.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 8 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:05.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 9 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:07.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 5 HINT_LEVEL_CHANGE -555 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -555 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:11.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT null strategic 6 HINT_LEVEL_CHANGE You can add 555 to both sides of the equation to eliminate the constant value of -555 (-555 + 555 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:22.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 10 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:27.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 7 ERROR clt -4058 = -1144y strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:31.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 8 ERROR mt -4058 = -1144y strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:35.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 9 ERROR rds -4058 = -1144y strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:52:38.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 10 ERROR distribute -4058 = -1144y strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:53:24.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 11 ERROR add -1,144y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:53:43.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 12 ERROR subtract -1,144y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:54:00.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 13 ERROR multiply -1,144y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:54:14.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 14 BUG divide -1,144y Dividing anything by itself will leave 1. If you divide -1144y by -1144, y will be left. Erase your last step and then divide by -1144. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:54:34.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 15 BUG divide -4,058 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:57:17.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 16 OK divide -1,144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:57:46.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 1 BUG rf 2029/572 = y strategic You already solved the equation. y is 2029/572. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:58:01.0 HINT HINT ES_05 ES_05-1 EG5-CONSTANT 2029/572 = y strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:58:43.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1971 = 2659y+(-6123) strategic 1 BUG add -6,123 To remove -6123 from the right side, you can add a positive to it. Erase your last step and add 6123 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:58:56.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1971 = 2659y+(-6123) strategic 2 BUG subtract 6,123 Since -6123 is negative, you should add to remove it from the right side. Erase your last step and add 6123 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:59:12.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -1971 = 2659y+(-6123) strategic 3 OK add 6,123 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:59:24.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 4152 = 2659y strategic 1 OK divide 2,659 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 09:59:48.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -9.9 = -1.41y+(-6.42) strategic 1 BUG add -6.42 To remove -6.42 from the right side, you can add a positive to it. Erase your last step and add 6.42 to both sides. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:00:12.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -9.9 = -1.41y+(-6.42) strategic 2 OK add 6.42 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:01:32.0 CYCLE CYCLE ES_05 ES_05-1 EG42C -3.48 = -1.41y strategic 1 OK divide -1.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:02:02.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 1 ERROR add 20 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:02:08.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 2 ERROR add -20 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:02:26.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 3 ERROR clt 57 = -20x+87 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:02:32.0 HINT HINT ES_05 ES_05-1 EG43 57 = -20x+87 strategic 4 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:03:22.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 1 HINT_LEVEL_CHANGE 87 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 87 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:03:28.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 5 BUG divide 87 You want to isolate -20x by removing 87 from the right side. 87 is added to -20x. What is the opposite of addition? BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:11:37.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 6 ERROR add -20 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:11:45.0 HINT HINT ES_05 ES_05-1 EG43 57 = -20x+87 strategic 7 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:11:48.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 2 HINT_LEVEL_CHANGE 87 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 87 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:11:54.0 HINT HINT ES_05 ES_05-1 EG43 null strategic 3 HINT_LEVEL_CHANGE You can subtract 87 from both sides of the equation to eliminate the constant value of 87 (87 - 87 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:12:04.0 CYCLE CYCLE ES_05 ES_05-1 EG43 57 = -20x+87 strategic 8 OK subtract 87 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:12:18.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -30 = -20x strategic 1 OK divide -20 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:15:01.0 HINT HINT ES_05 ES_05-1 EG42 -4.7+(-38.79x) = -89 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:15:08.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:15:14.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7+(-38.79x) = -89 strategic 2 OK rds -4.7+(-38.79x) = -89 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:15:46.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 1 BUG add -89 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:15:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 2 ERROR add 59 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:11.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 3 ERROR add 89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:35.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 4 ERROR add 38.79 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:41.0 HINT HINT ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:41.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 2 HINT_LEVEL_CHANGE -4.7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4.7 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:46.0 HINT HINT ES_05 ES_05-1 EG42 null strategic 3 HINT_LEVEL_CHANGE You can add 4.7 to both sides of the equation to eliminate the constant value of -4.7 (-4.7 + 4.7 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:16:56.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -4.7-38.79x = -89 strategic 6 OK add 4.7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:17:12.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -38.79x = -84.3 strategic 1 ERROR divide -842 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:17:25.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -38.79x = -84.3 strategic 2 BUG divide -84.3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:17:45.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -38.79x = -84.3 strategic 3 OK divide -38.79 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:18:35.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470+(-507y) strategic 1 ERROR add -507 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:19:19.0 HINT HINT ES_05 ES_05-1 EG43A 145 = -6470+(-507y) strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:19:21.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:19:25.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470+(-507y) strategic 3 ERROR rf 145 = -6470+(-507y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:19:30.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470+(-507y) strategic 4 OK rds 145 = -6470+(-507y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:19:47.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 1 ERROR add 507 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:20:02.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 2 BUG add -6,470 To remove -6470 from the right side, you can add a positive to it. Erase your last step and add 6470 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:20:55.0 HINT HINT ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 3 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:20:56.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 2 HINT_LEVEL_CHANGE -6470 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6470 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:21:06.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 3 HINT_LEVEL_CHANGE You can add 6470 to both sides of the equation to eliminate the constant value of -6470 (-6470 + 6470 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:21:34.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 4 ERROR subtract 507 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:21:46.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 5 BUG subtract 6,470 Since -6470 is negative, you should add to remove it from the right side. Erase your last step and add 6470 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:21:53.0 HINT HINT ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:21:55.0 HINT HINT ES_05 ES_05-1 EG43A null strategic 4 HINT_LEVEL_CHANGE -6470 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6470 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:23:23.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 7 ERROR add 507y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:23:59.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 145 = -6470-507y strategic 8 OK add 6,470 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session88 2007-04-20 10:24:18.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 6615 = -507y strategic 1 OK divide -507 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:00.0 HINT HINT ES_05 ES_05-1 EG42B 7.28x+(-14.77) = -9.55 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:06.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:17.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.28x+(-14.77) = -9.55 strategic 2 OK rds 7.28x+(-14.77) = -9.55 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:33.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.28x-14.77 = -9.55 strategic 1 ERROR add 7.28 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:37.0 HINT HINT ES_05 ES_05-1 EG42B 7.28x-14.77 = -9.55 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:39.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 2 HINT_LEVEL_CHANGE -14.77 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -14.77 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:43.0 HINT HINT ES_05 ES_05-1 EG42B null strategic 3 HINT_LEVEL_CHANGE You can add 14.77 to both sides of the equation to eliminate the constant value of -14.77 (-14.77 + 14.77 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:40:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.28x-14.77 = -9.55 strategic 3 OK add 14.77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:41:23.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.28x = 5.22 strategic 1 BUG divide 5.22 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:41:33.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 7.28x = 5.22 strategic 2 OK divide 7.28 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:42:10.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -46+68x = 24 strategic 1 ERROR subtract 68 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:42:20.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -46+68x = 24 strategic 2 OK subtract -46 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:42:29.0 CYCLE CYCLE ES_05 ES_05-1 EG43 68x = 70 strategic 1 OK divide 68 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:43:36.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 5.26 = 0.89y+(-4.72) strategic 1 OK rds 5.26 = 0.89y+(-4.72) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:43:52.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 5.26 = 0.89y-4.72 strategic 1 ERROR add 0.89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:44:07.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 5.26 = 0.89y-4.72 strategic 2 OK add 4.72 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:44:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 9.98 = 0.89y strategic 1 OK divide 0.89 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:45:25.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -50.49+8.07y = 98.53 strategic 1 BUG subtract 50.49 Since -50.49 is negative, you should add to remove it from the left side. Erase your last step and add 50.49 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:45:42.0 CYCLE CYCLE ES_05 ES_05-1 EG42 -50.49+8.07y = 98.53 strategic 2 OK add 50.49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:45:53.0 CYCLE CYCLE ES_05 ES_05-1 EG42 8.07y = 149.02 strategic 1 OK divide 8.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:46:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -8485y+(-4645) = 4772 strategic 1 OK rds -8485y+(-4645) = 4772 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:47:16.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -8485y-4645 = 4772 strategic 1 OK add 4,645 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:47:29.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -8485y = 9417 strategic 1 OK divide -8,485 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:47:32.0 HINT HINT ES_05 ES_05-1 EG43A y = -9417/8485 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:47:38.0 CYCLE CYCLE ES_05 ES_05-1 EG43A y = -9417/8485 strategic 2 BUG rf y = -9417/8485 strategic You already solved the equation. y is -9417/8485. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:48:35.0 HINT HINT ES_05 ES_05-1 EG43A y = -9417/8485 strategic 3 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:49:34.0 CYCLE CYCLE ES_05 ES_05-1 EG43 27 = -3x+48 strategic 1 OK subtract 48 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:49:42.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -21 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:49:57.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -0.61 = 4.39x+(-5.19) strategic 1 OK rds -0.61 = 4.39x+(-5.19) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:50:14.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -0.61 = 4.39x-5.19 strategic 1 ERROR add 4.39 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:50:24.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -0.61 = 4.39x-5.19 strategic 2 OK add 5.19 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:50:30.0 CYCLE CYCLE ES_05 ES_05-1 EG42A 4.58 = 4.39x strategic 1 OK divide 4.39 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:50:54.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -137 = 3915x+(-1589) strategic 1 OK rds -137 = 3915x+(-1589) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:51:23.0 CYCLE CYCLE ES_05 ES_05-1 EG43A -137 = 3915x-1589 strategic 1 OK add 1,589 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:51:43.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 1452 = 3915x strategic 1 OK divide 3,915 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:52:31.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -3.6+13.84y = 8.52 strategic 1 OK subtract -3.6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:52:55.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 13.84y = 12.12 strategic 1 BUG divide 12.12 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:53:07.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 13.84y = 12.12 strategic 2 OK divide 13.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:54:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 1 OK subtract -5,575 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:55:03.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x-(-5575) = -2615-(-5575) left 1 OK left -5,575+5,577x-(-5,575) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:55:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615-(-5575) right 1 ERROR right -2,675-(-5,575) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615-(-5575) right 2 OK right -2,615-(-5,575) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:18.0 HINT HINT ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615+5575 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:19.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615+5575 strategic 2 OK clt -5575+5577x+5575 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x1R1 strategic 3 BUG -5575 -5575
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5575, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 1 BUG +5577x +5577x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5577x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:56:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 2 BUG +5577x +5577x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5577x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:57:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 3 BUG +5577x +5577x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5577x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:57:10.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms2R1 strategic 1 OK +5575 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:57:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 4 BUG +5577x +5577x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5577x, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:57:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x1R1 strategic 4 OK +5577x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:57:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant terms1R1 strategic 5 OK -5575 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:59:17.0 HINT HINT ES_05 ES_05-2 EG43A xR2 strategic 1 INITIAL_HINT In the group above, you have [+5577x]. Type [+5577x] here. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:59:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43A xR2 strategic 2 ERROR 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 09:59:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A xR2 strategic 3 OK 5,577x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:00:04.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant termsR2 strategic 1 ERROR 5,577x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:00:24.0 CYCLE CYCLE ES_05 ES_05-2 EG43A constant termsR2 strategic 2 OK 5,575-5,575 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:00:30.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 1 INITIAL_HINT Above, you have [5,577x]+[5,575-5,575]. Enter 5577x as your result. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:00:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 2 OK 5577x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:00:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x = -2615+5575 strategic 1 OK clt -2615+5575 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:01:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 3 OK 2960 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x = 2960 strategic 1 OK divide 5,577 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:06.0 HINT HINT ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 left 1 ERROR left 5577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:18.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 2 HINT_LEVEL_CHANGE Type in 5577x/5577 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 left 2 OK left 5577x/5577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:02:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 right 1 OK right 2,960/5,577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:03.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 2 OK rf 5577x/5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-constant factors strategic 1 OK 5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:08.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-x strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:10.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-constant factors strategic 1 OK 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:18.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 1 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2constant factors strategic 1 OK 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:39.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 1 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:03:51.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 2 BUG 5,577 5,577
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:04:10.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 3 HINT_LEVEL_CHANGE Because there are no x factors in the denominator of 5577x/5577, you must double-click to enter a 1 here. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:04:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-x strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:04:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 3 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:04:56.0 HINT HINT ES_05 ES_05-2 EG43A row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5577]/[5577] is 5577. This set of entry boxes represent the simplified form of [5577]/[5577]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-constant factors strategic 2 OK 5,577/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 1 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 2 ERROR 5,577/1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 3 ERROR 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:44.0 HINT HINT ES_05 ES_05-2 EG43A row3-N-x strategic 4 INITIAL_HINT 5,577 The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:05:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 5 OK x/1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:02.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 1 ERROR 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:07.0 HINT HINT ES_05 ES_05-2 EG43A row3-D-constant factors strategic 2 INITIAL_HINT 5,577 The common factor between the numerator and denominator of [5577]/[5577] is 5577. This set of entry boxes represent the simplified form of [5577]/[5577]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:11.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 4 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:28.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 3 OK 5,577/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-x strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:36.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 4 ERROR 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:06:41.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 5 INITIAL_HINT 1 In the above expression you have 5577x/5577. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 6 OK 5,577x/5,577 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:21.0 HINT HINT ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 3 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:22.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 5 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 4 OK rf 5577x/5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:34.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 5 BUG rds 5577x/5577 = 2960/5577 strategic Simplify the fraction 5577x/5577. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:39.0 HINT HINT ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 6 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:41.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:07:55.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 7 OK rf 5577x/5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-constant factors strategic 2 OK 5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:04.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-x strategic 2 ERROR 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-x strategic 3 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:21.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-x strategic 3 ERROR 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:23.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-constant factors strategic 2 OK 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:08:25.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-x strategic 4 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:17.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2constant factors strategic 2 OK 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:19.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 4 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-constant factors strategic 3 OK 5,577/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 6 ERROR 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 7 OK x/1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:09:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 4 ERROR 5,577x/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:04.0 HINT HINT ES_05 ES_05-2 EG43A row3-D-constant factors strategic 5 INITIAL_HINT 5,577x/5,577 The common factor between the numerator and denominator of [5577]/[5577] is 5577. This set of entry boxes represent the simplified form of [5577]/[5577]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:09.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 7 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:12.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 5577, by 5577, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:23.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 6 OK 5,577/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-x strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:10:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 7 OK 5,577x/5,577 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:11:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 8 BUG divide 5,577 Simplify the fraction 5577x/5577. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:11:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 9 BUG divide 5,577 Simplify the fraction 5577x/5577. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:12:28.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 10 BUG divide 2,960 Simplify the fraction 5577x/5577. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:14:44.0 HINT HINT ES_05 ES_05-2 EG43A 5577x = 2960 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:14:46.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 9 HINT_LEVEL_CHANGE 5577x is 5577 times x. How do you undo multiplication? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:14:51.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 10 HINT_LEVEL_CHANGE Divide both sides by 5577. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:01.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x = 2960 strategic 3 OK divide 5,577 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:09.0 HINT HINT ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:13.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 11 HINT_LEVEL_CHANGE -5575 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5575 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:16.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 12 HINT_LEVEL_CHANGE You can add 5575 to both sides of the equation to eliminate the constant value of -5575 (-5575 + 5575 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 3 ERROR add 5,577 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:15:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 4 ERROR add 5,577 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:16:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 5 ERROR add -5,577 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:16:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 6 BUG add -5,575 To remove -5575 from the left side, you can add a positive to it. Erase your last step and add 5575 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:19:29.0 HINT HINT ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:19:34.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 1 HINT_LEVEL_CHANGE -5575 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5575 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:19:40.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 2 HINT_LEVEL_CHANGE You can add 5575 to both sides of the equation to eliminate the constant value of -5575 (-5575 + 5575 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:20:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x = -2615 strategic 2 OK add 5,575 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:21:09.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615+5575 left 1 BUG left 5577 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:21:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -5575+5577x+5575 = -2615+5575 left 2 OK left 5577x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:21:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x = -2615+5575 right 1 OK right 2960 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:21:59.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x = 2960 strategic 1 OK divide 5,577 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:22:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 left 1 BUG left 2,960 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:23:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 left 2 ERROR left 5,577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:23:47.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 left 3 OK left 5,577x/5,577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session90 2007-04-23 10:24:54.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 right 1 OK right 2,960/5,577 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:58:12.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 1 HINT_LEVEL_CHANGE -5575 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5575 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:58:18.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 1 OK rf 5577x/5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:58:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-constant factors strategic 1 OK 5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:58:48.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-x strategic 1 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:58:50.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-constant factors strategic 1 OK 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:59:15.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5577x/5577 = 2960/5577 strategic 2 OK rf 5577x/5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:59:39.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-constant factors strategic 2 OK 5577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:59:40.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-N-x strategic 2 OK x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 09:59:42.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row1-D-constant factors strategic 2 OK 1/[5577] condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:02.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 1 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:02.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 2 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:02.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 3 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:02.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 4 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:03.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 5 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:03.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 6 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:03.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 7 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:03.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 8 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:03.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 9 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:04.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 10 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:04.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 11 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:04.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 12 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:04.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 13 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:05.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 14 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:05.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 15 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:05.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 16 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:00:05.0 HINT HINT ES_05 ES_05-2 EG43A row1-D-x strategic 17 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression 5577x/5577. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:03:29.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2constant factors strategic 1 OK 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:03:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 1 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:03:36.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row2x strategic 2 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:03:49.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-constant factors strategic 1 ERROR 5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:03:58.0 HINT HINT ES_05 ES_05-2 EG43A row3-N-constant factors strategic 2 INITIAL_HINT 5,577 The common factor between the numerator and denominator of [5577]/[5577] is 5577. This set of entry boxes represent the simplified form of [5577]/[5577]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:04:05.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 2 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:04:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-constant factors strategic 3 ERROR 2,960/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:05:54.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 3 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 5577, by 5577, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:06:12.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-constant factors strategic 4 OK 5,577/5,577 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:06:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 1 BUG 1 1
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:06:22.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-N-x strategic 2 OK 1x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:07:46.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 1 ERROR 5,577/1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:07:57.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 2 ERROR 55 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:07:57.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 4 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:07:59.0 HINT HINT ES_05 ES_05-2 EG43A row3-D-constant factors strategic 3 INITIAL_HINT 55 The common factor between the numerator and denominator of [5577]/[5577] is 5577. This set of entry boxes represent the simplified form of [5577]/[5577]. HINT 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:01.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 5 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:02.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 6 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 5577, by 5577, the common factor. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:11.0 HINT HINT ES_05 ES_05-2 EG43A null strategic 7 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-constant factors strategic 4 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A row3-D-x strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 1 BUG 5,577/1 5,577/1
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:08:41.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 2 INITIAL_HINT 5,577/1 Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:09:07.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 3 INITIAL_HINT 5,577/1 Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:09:08.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 4 INITIAL_HINT 5,577/1 Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:09:09.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 5 INITIAL_HINT 5,577/1 Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:09:09.0 HINT HINT ES_05 ES_05-2 EG43A FinalAnswer strategic 6 INITIAL_HINT 5,577/1 Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:09:21.0 CYCLE CYCLE ES_05 ES_05-2 EG43A FinalAnswer strategic 7 OK 1x condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:10:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -83.13 = 64.58x+(-69.19) strategic 1 OK add 69.19 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:10:57.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -83.13+69.19 = 64.58x+(-69.19)+69.19 left 1 OK left -13.94 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x+(-69.19)+69.19 right 1 OK right 64.58x+(-69.19)+69.19 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x-69.19+69.19 strategic 1 OK clt 64.58x-69.19+69.19 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42 x1R1 strategic 1 OK 64.58x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:23.0 CYCLE CYCLE ES_05 ES_05-2 EG42 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:25.0 CYCLE CYCLE ES_05 ES_05-2 EG42 constant terms1R1 strategic 2 BUG  69.19 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:31.0 CYCLE CYCLE ES_05 ES_05-2 EG42 constant terms1R1 strategic 3 OK -69.19 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:40.0 CYCLE CYCLE ES_05 ES_05-2 EG42 constant terms2R1 strategic 1 OK +69.19 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:12:52.0 CYCLE CYCLE ES_05 ES_05-2 EG42 xR2 strategic 1 ERROR 64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:13:12.0 CYCLE CYCLE ES_05 ES_05-2 EG42 xR2 strategic 2 OK 64.58x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:13:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42 constant termsR2 strategic 1 OK -69.19+69.19 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:14:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 1 ERROR 64.58 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:15:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 2 OK 64.58x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:15:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x strategic 1 OK divide 64.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:16:18.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 left 1 OK left -13.94/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:17:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 right 1 ERROR right 64.58/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:18:00.0 HINT HINT ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:18:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 right 2 ERROR right 64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:18:11.0 HINT HINT ES_05 ES_05-2 EG42 null strategic 1 HINT_LEVEL_CHANGE Type in 64.58x/64.58 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:18:37.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 right 3 OK right 64.58x/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:18:45.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 2 OK rf -13.94/64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:19:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 3 OK -13.94/64.58 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:19:04.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 3 OK rf 64.58x/64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:19:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 4 OK 64.58x/64.58 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:20:04.0 HINT HINT ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 4 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:20:05.0 HINT HINT ES_05 ES_05-2 EG42 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:20:27.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 5 OK rf -13.94/64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:20:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x strategic 2 BUG multiply 64.58 To remove the coefficient of 64.58x, you need to divide. Erase your last step and then divide both sides by 64.58. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:20:59.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x strategic 3 OK divide 64.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:22:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 left 2 OK left -13.94/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:22:27.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 right 4 OK right 64.58x/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:23:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 6 OK rf -13.94/64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:24:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 5 OK -13.94/64.58 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:24:00.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 strategic 7 OK rf 64.58x/64.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:24:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42 FinalAnswer strategic 6 OK 64.58x/64.58 condition 1 simplify-fractions-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:25:50.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x strategic 4 BUG divide 64.58x Dividing anything by itself will leave 1. If you divide 64.58x by 64.58, x will be left. Erase your last step and then divide by 64.58. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:26:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94 = 64.58x strategic 5 OK divide 64.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:26:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 left 3 BUG left -13.94 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 rnuvL80 session92 2007-04-27 10:26:23.0 CYCLE CYCLE ES_05 ES_05-2 EG42 -13.94/64.58 = 64.58x/64.58 left 4 OK left -13.94/64.58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:42:03.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR add 55 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:42:16.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:42:25.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:42:48.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:00.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 6.8+9.7x = 1.51 strategic 1 OK subtract 6.8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:05.0 CYCLE CYCLE ES_05 ES_05-1 EG42B 9.7x = -5.29 strategic 1 OK divide 9.7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:17.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 203+2104y = -103 strategic 1 OK subtract 203 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:21.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 2104y = -306 strategic 1 OK divide 2104 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:31.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -21 = 73+46y strategic 1 OK subtract 73 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:43:34.0 CYCLE CYCLE ES_05 ES_05-1 EG43 -94 = 46y strategic 1 OK divide 46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:44:21.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -14.28 = -3.61y+(-6.52) strategic 1 OK subtract -6.52 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:44:43.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -14.28-(-6.52) = -3.61y+(-6.52)-(-6.52) right 1 OK right -3.61y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:44:59.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -14.28-(-6.52) = -3.61y left 1 BUG left 20.8 20.8 is equal to 14.28 minus -6.52. You need to calculate -14.28 minus -6.52. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:45:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -14.28-(-6.52) = -3.61y left 2 OK left -7.76 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:47:14.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.76 = -3.61y strategic 1 OK divide -3.61 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:47:19.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.76/-3.61 = -3.61y/-3.61 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:47:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -7.76/-3.61 = y left 1 OK left 2.145 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:47:58.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9 = 25+(-41y) strategic 1 OK subtract 25 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:07.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9-25 = 25+(-41y)-25 right 1 OK right -41y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43 9-25 = -41y left 1 OK left -16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:20.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -16 = -41y strategic 1 OK divide -41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:23.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -16/-41 = -41y/-41 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -16/-41 = y left 1 OK left 0.390 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 3867+3645x = -9696 strategic 1 OK subtract 3867 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:48:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 3867+3645x-3867 = -9696-3867 left 1 OK left 3645x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:49:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 3645x = -9696-3867 right 1 OK right -13563 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:49:26.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 3645x = -13563 strategic 1 OK divide 3645 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:49:30.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 3645x/3645 = -13563/3645 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:49:44.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = -13563/3645 right 1 OK right -3.720 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:49:57.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357/x+813 = -851 strategic 1 OK subtract 813 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:04.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357/x = -1664 strategic 1 ERROR divide -357 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:11.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357/x = -1664 strategic 2 ERROR rf -357/x = -1664 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:20.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357/x = -1664 strategic 3 ERROR divide -357 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:25.0 HINT HINT ES_05 ES_05-3 EG59A -357/x = -1664 strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:26.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -357/x is -357 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:29.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:39.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357/x = -1664 strategic 5 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:50:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -357 = -1664x strategic 1 OK divide -1664 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59 0 = -64/y+(-87) strategic 1 OK subtract -87 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59 87 = -64/y strategic 1 ERROR multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:32.0 CYCLE CYCLE ES_05 ES_05-3 EG59 87 = -64/y strategic 2 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:37.0 CYCLE CYCLE ES_05 ES_05-3 EG59 87y = -64 strategic 1 OK divide 87 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:46.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -50/y+56 = 14 strategic 1 OK subtract 56 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -50/y = -42 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:51:56.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -50 = -42y strategic 1 OK divide -42 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59 68+16/y = 59 strategic 1 OK subtract 68 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59 16/y = -9 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59 16 = -9y strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:29.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -745+(-500/y) = 656 strategic 1 OK subtract -745 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -500/y = 1401 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -500 = 1401y strategic 1 OK divide 1401 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:52:51.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -31 = 19/x+37 strategic 1 OK subtract 37 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -31-37 = 19/x+37-37 left 1 OK left -68 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:18.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68 = 19/x+37-37 right 1 OK right 19/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:23.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68 = 19/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68x = 19/x*x left 1 OK left -68x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68x = 19/x*x right 1 OK right 19 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68x = 19 strategic 1 OK divide -68 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -68x/-68 = 19/-68 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:53:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 19/-68 right 1 OK right -.279 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 914+822/y = -829 strategic 1 OK subtract 914 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 914+822/y-914 = -829-914 left 1 OK left 822/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822/y = -829-914 right 1 OK right -1743 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822/y = -1743 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822/y*y = -1743y left 1 OK left 822 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822 = -1743y right 1 OK right -1743y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822 = -1743y strategic 1 OK divide -1743 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:54:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822/-1743 = -1743y/-1743 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 822/-1743 = y left 1 OK left -.4716 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 897+(-613/y) = -679 strategic 1 OK subtract 897 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 897+(-613/y)-897 = -679-897 left 1 OK left -613/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613/y = -679-897 right 1 OK right -1576 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:53.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613/y = -1576 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:55:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613/y*y = -1576y left 1 OK left -613 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613 = -1576y right 1 BUG right -1576 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:06.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613 = -1576y right 2 OK right -1576y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:10.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613 = -1576y strategic 1 OK divide -1576 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613/-1576 = -1576y/-1576 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:39.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -613/-1576 = y left 1 OK left .3886 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:56:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+(-6y) = -1y+10 strategic 1 ERROR distribute -2+(-6y) = -1y+10 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:07.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2+(-6y) = -1y+10 strategic 2 OK subtract -2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y = -y+12 strategic 1 ERROR subtract 12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:25.0 HINT HINT ES_05 ES_05-5 EG60 -6y = -y+12 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:26.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:30.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:35.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y = -y+12 strategic 3 ERROR subtract y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6y = -y+12 strategic 4 OK subtract -y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -5y = 12 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:57:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x+(-8) = -3+6x strategic 1 OK subtract -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7x = 5+6x strategic 1 OK subtract 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x+0 = 7+(-5x) strategic 1 OK subtract 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x = 7-5x strategic 1 ERROR subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:31.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8x = 7-5x strategic 2 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3x = 7 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:58:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x+2 = -1+(-7x) strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2x = -3-7x strategic 1 OK add 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9x = -3 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:20.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1y+(-3) = 3+(-7y) strategic 1 OK subtract -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y = 6-7y strategic 1 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y = 6-7y strategic 2 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 6 strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:46.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y+(-6) = -7+(-2y) strategic 1 OK subtract -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 09:59:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 6y = -1-2y strategic 1 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = -1 strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:14.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y+7 = 1y+0 strategic 1 OK subtract 7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 1 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 2 ERROR add y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 3 BUG add -7 To remove -7 from the right side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:41.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 4 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:00:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 5 ERROR add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:00.0 HINT HINT ES_05 ES_05-5 EG60 8y = y-7 strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:01.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:04.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = y-7 strategic 7 OK subtract y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7y = -7 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y+10 = 3+8y strategic 1 OK subtract 10 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -7+8y strategic 1 ERROR subtract -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:44.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -7+8y strategic 2 OK subtract 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:01:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -10y = -7 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:03.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x+0 = -3x+(-9) strategic 1 OK subtract 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3x = -3x-9 strategic 1 OK add -3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 0 = -6x-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:24.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -6x strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+(-3y) = -8+(-10y) strategic 1 OK subtract -3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:47.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -8-7y strategic 1 BUG add -8 To remove -8 from the right side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:54.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -8-7y strategic 2 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:02:58.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 9+8y = 10y+8 strategic 1 OK subtract 9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 10y-1 strategic 1 ERROR add 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 10y-1 strategic 2 ERROR subtract -10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 10y-1 strategic 3 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8y = 10y-1 strategic 4 OK add -10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:03:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2y = -1 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7+2y = -3y+(-9) strategic 1 OK subtract 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 7 = -5y-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 16 = -5y strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4+3y = -10y+6 strategic 1 OK subtract 3y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 4 = -13y+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:04:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2 = -13y strategic 1 OK divide -13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+(-7y) = -9+9y strategic 1 OK subtract -7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+(-7y)-(-7y) = -9+9y-(-7y) left 1 OK left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -9+9y-(-7y) right 1 ERROR right -7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -9+9y-(-7y) right 2 ERROR right 7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:35.0 HINT HINT ES_05 ES_05-6 EG60 -3 = -9+9y-(-7y) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:36.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -9+9y-(-7y) on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:05:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -9+9y-(-7y) right 3 OK right -9+9y-(-7y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:03.0 HINT HINT ES_05 ES_05-6 EG60 -3 = -9+9y+7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:04.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -9+9y+7y strategic 2 OK clt -9+9y+7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK +9y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 16y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 16y+(-9) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = 16y-9 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+9 = 16y-9+9 right 1 BUG right -16y The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+9 = 16y-9+9 right 2 OK right 16y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:06:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3+9 = 16y left 1 OK left 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = 16y strategic 1 OK divide 16 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6/16 = 16y/16 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6/16 = y left 1 OK left 0.375 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+3 = -1+5y strategic 1 ERROR subtract -5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+3 = -1+5y strategic 2 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:07:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+3-3 = -1+5y-3 left 1 OK left -5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 right 1 ERROR right 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 right 2 ERROR right -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 right 3 ERROR right -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 right 4 ERROR right 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:17.0 HINT HINT ES_05 ES_05-6 EG60 -5y = -1+5y-3 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:18.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -1+5y-3 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 right 5 OK right -1+5y-3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = -1+5y-3 strategic 2 OK clt -1+5y-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:47.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:08:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -2 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 5y-4 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y = 5y-4 strategic 1 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y left 1 ERROR left y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y left 2 BUG left -5y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y right 1 BUG right -5y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y right 2 ERROR right 5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:46.0 HINT HINT ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:09:47.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in -5y+5y on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y left 3 OK left -5y+5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:24.0 HINT HINT ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:25.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 5y-4+5y on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y right 3 OK right 5y-4+5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5y+5y = 5y-4+5y strategic 3 OK clt -5y+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 ERROR 5y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 4 ERROR -5y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:53.0 HINT HINT ES_05 ES_05-6 EG60 FinalAnswer strategic 5 INITIAL_HINT -5y In the group above, -5y and 5y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:54.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE The coefficients in [-5y]+[5y] are -5 and 5. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:10:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Combining the like terms -5y and 5y results in 0 HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 6 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 5y-4+5y strategic 1 OK clt 5y-4+5y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK 5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK +5y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK 10y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -4 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 7 OK 10y+(-4) condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0 = 10y-4 strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0+4 = 10y-4+4 left 1 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 10y-4+4 right 1 OK right 10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:11:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 10y strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4/10 = 10y/10 left 1 OK left 0.4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 0.4 = 10y/10 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1 = -8+(-6x) strategic 1 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:47.0 HINT HINT ES_05 ES_05-6 EG60 3x+1 = -8+(-6x) strategic 2 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:48.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1 = -8+(-6x) strategic 3 OK rds 3x+1 = -8+(-6x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:58.0 HINT HINT ES_05 ES_05-6 EG60 3x+1 = -8-6x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:12:59.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 6x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:03.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 6x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1 = -8-6x strategic 2 OK add 6x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:19.0 HINT HINT ES_05 ES_05-6 EG60 3x+1+6x = -8-6x+6x strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:20.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in 3x+1+6x on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1+6x = -8-6x+6x left 1 OK left 3x+1+6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1+6x = -8-6x+6x right 1 OK right -8-6x+6x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3x+1+6x = -8-6x+6x strategic 2 OK clt 3x+1+6x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 OK 3x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 OK 9x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 9x+1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x+1 = -8-6x+6x strategic 1 OK clt -8-6x+6x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:13:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG  6x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG  6x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 BUG -8 -8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 5 OK -6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 2 OK +6x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 BUG  8 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:25.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK +-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x+1 = -8 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x+1-1 = -8-1 left 1 OK left 9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = -8-1 right 1 OK right -9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x = -9 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9x/9 = -9/9 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:14:53.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -9/9 right 1 OK right -1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:15:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+3 = 3x+9 strategic 1 ERROR rds -8x+3 = 3x+9 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:15:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+3 = 3x+9 strategic 2 OK subtract 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:15:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x+3-3 = 3x+9-3 left 1 OK left -8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:15:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 3x+9-3 right 1 OK right 3x+6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:15:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x = 3x+6 strategic 1 OK subtract 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8x-3x = 3x+6-3x left 1 OK left -11x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11x = 3x+6-3x right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11x = 6 strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -11x/-11 = 6/-11 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/-11 right 1 BUG right 0.5454 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 6/-11 right 2 OK right -0.5454 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:16:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-1) = -6+(-6y) strategic 1 ERROR clt 7y+(-1) = -6+(-6y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-1) = -6+(-6y) strategic 2 OK subtract -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-1)-(-1) = -6+(-6y)-(-1) left 1 OK left 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6+(-6y)-(-1) right 1 ERROR right -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6+(-6y)-(-1) right 2 ERROR right -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6+(-6y)-(-1) right 3 ERROR right 1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6+(-6y)-(-1) right 4 OK right -6+(-6y)-(-1) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6-6y+1 strategic 1 OK clt -6-6y+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:17:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 ERROR -6ty condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -6y+-5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y = -6y-5 strategic 1 OK add -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5+(-6y) right 1 ERROR right 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:18:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5+(-6y) right 2 BUG right -5 -5 is equal to -6y-5 minus -6y. You need to calculate -6y-5 plus -6y. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5+(-6y) right 3 OK right -6y-5+(-6y) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5-6y left 1 BUG left 7y You haven't performed any operations. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5-6y left 2 ERROR left -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5-6y left 3 BUG left -1y The result should be positive. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 7y+(-6y) = -6y-5-6y left 4 OK left 1y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 1y = -6y-5-6y strategic 1 OK unnec-elems 1y=-6y-5-6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -6y-5-6y strategic 1 OK clt -6y-5-6y condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:36.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 2 OK -6y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:19:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 3 ERROR 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 4 ERROR y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 5 ERROR 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:05.0 HINT HINT ES_05 ES_05-6 EG60 yR2 strategic 6 INITIAL_HINT 0 In the group above, -6y and -6y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:06.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-6y]+[-6y] are -6 and -6. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:10.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -6y and -6y results in -12y HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 7 ERROR 12y3 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:22.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 8 ERROR 12y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 9 OK -12y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -12y+-5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12y-5 strategic 1 ERROR add -12y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12y-5 strategic 2 ERROR add 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:55.0 HINT HINT ES_05 ES_05-6 EG60 y = -12y-5 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:20:56.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move 12y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Add 12y to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -12y-5 strategic 4 OK add 12y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y+12y = -12y-5+12y left 1 OK left 13y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13y = -12y-5+12y right 1 OK right -12y-5+12y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13y = -12y-5+12y strategic 1 OK clt -12y-5+12y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:29.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 3 OK -12y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 3 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 4 OK +12y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 3 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 10 ERROR -24y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 11 ERROR 24y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:54.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 12 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:21:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 3 OK 0+-5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:22:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13y = 0-5 strategic 1 OK unnec-elems 13y=0-5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:22:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13y = -5 strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:22:13.0 CYCLE CYCLE ES_05 ES_05-6 EG60 13y/13 = -5/13 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:22:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -5/13 right 1 OK right -.3846 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+10y = 7y+(-6) strategic 1 OK subtract 10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:20.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+10y-10y = 7y+(-6)-10y left 1 OK left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 7y+(-6)-10y right 1 OK right 7y+-6-10y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 7y-6-10y strategic 1 OK clt 7y-6-10y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK -10y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK -3y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:23:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:03.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -3y+-6 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -3y-6 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+6 = -3y-6+6 left 1 OK left 9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y-6+6 right 1 ERROR right -15y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:33.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y-6+6 right 2 BUG right -3y-12 -3y-12 is equal to -3y-6 minus 6. You need to calculate -3y-6 plus 6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y-6+6 right 3 OK right -3y-6+6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y-6+6 strategic 1 OK clt -3y-6+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 2 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:55.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:24:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK +6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 2 OK -3y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 OK 0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:10.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 2 OK -3y+0 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:12.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y+0 strategic 1 OK unnec-elems 9=-3y+0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:17.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 9/-3 = -3y/-3 left 1 OK left -3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:21.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -3 = -3y/-3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session22 2007-04-20 10:25:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12+(-8.12x) = 4.13x+(-5.66) strategic 1 OK rds 5.12+(-8.12x) = 4.13x+(-5.66) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-8.12x = 4.13x-5.66 strategic 1 ERROR add 4.13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-8.12x = 4.13x-5.66 strategic 2 ERROR subtract 4.13 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-8.12x = 4.13x-5.66 strategic 3 ERROR add 8.12 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:30.0 HINT HINT ES_05 ES_05-7 EG61 5.12-8.12x = 4.13x-5.66 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:31.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.13x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:34.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.13x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-8.12x = 4.13x-5.66 strategic 5 OK subtract 4.13x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:37:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-12.25x = -5.66 strategic 1 BUG add 5.12 Since 5.12 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5.12 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.12-12.25x = -5.66 strategic 2 OK subtract 5.12 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.25x = -10.78 strategic 1 BUG divide -12.25x Dividing anything by itself will leave 1. If you divide -12.25x by -12.25, x will be left. Erase your last step and then divide by -12.25. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.25x = -10.78 strategic 2 OK divide -12.25 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.87x+(-3.49) = -0.81+4.16x strategic 1 OK rds -6.87x+(-3.49) = -0.81+4.16x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.87x-3.49 = -0.81+4.16x strategic 1 ERROR add 4.16x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:38:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.87x-3.49 = -0.81+4.16x strategic 2 OK subtract 4.16x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:39:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -11.03x-3.49 = -0.81 strategic 1 OK add 3.49 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:39:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -11.03x = 2.68 strategic 1 OK divide -11.03 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:39:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.66+5.03x = -8.09x+4.94 strategic 1 ERROR rds -0.66+5.03x = -8.09x+4.94 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:39:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.66+5.03x = -8.09x+4.94 strategic 2 ERROR add -8.09 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.66+5.03x = -8.09x+4.94 strategic 3 OK subtract -8.09x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.66+13.12x = 4.94 strategic 1 BUG add -0.66 To remove -0.66 from the left side, you can add a positive to it. Erase your last step and add 0.66 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.66+13.12x = 4.94 strategic 2 OK add 0.66 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:28.0 CYCLE CYCLE ES_05 ES_05-7 EG61 13.12x = 5.6 strategic 1 BUG divide 13.12x Dividing anything by itself will leave 1. If you divide 13.12x by 13.12, x will be left. Erase your last step and then divide by 13.12. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:36.0 CYCLE CYCLE ES_05 ES_05-7 EG61 13.12x = 5.6 strategic 2 OK divide 13.12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:40:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.97y+(-9.71) = 9.97+7.38y strategic 1 OK rds 0.97y+(-9.71) = 9.97+7.38y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.97y-9.71 = 9.97+7.38y strategic 1 ERROR add 0.97y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.97y-9.71 = 9.97+7.38y strategic 2 OK subtract 0.97y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.71 = 9.97+6.41y strategic 1 OK subtract 9.97 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -19.68 = 6.41y strategic 1 OK divide 6.41 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.98+(-6.34y) = 7.14+6.11y strategic 1 OK rds 0.98+(-6.34y) = 7.14+6.11y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:41:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.98-6.34y = 7.14+6.11y strategic 1 OK subtract 6.11y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.98-12.45y = 7.14 strategic 1 OK subtract 0.98 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.45y = 6.16 strategic 1 BUG divide 12.45 In this equation, y is multiplied by -12.45. Dividing by 12.45 leaves -y, so you still need to remove the negative sign. It is better to divide by -12.45, since that would leave y. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.45y = 6.16 strategic 2 OK divide -12.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.86x+4.51 = -9.67+(-2.98x) strategic 1 OK rds 1.86x+4.51 = -9.67+(-2.98x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.86x+4.51 = -9.67-2.98x strategic 1 OK add 9.67 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:42:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.86x+14.18 = -2.98x strategic 1 ERROR subtract 14.18 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.86x+14.18 = -2.98x strategic 2 ERROR add -14.18 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:07.0 HINT HINT ES_05 ES_05-7 EG61 1.86x+14.18 = -2.98x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:10.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 1.86x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:14.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 1.86x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:27.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.86x+14.18 = -2.98x strategic 4 OK subtract 1.86x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 14.18 = -4.84x strategic 1 OK divide -4.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:41.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.73+(-3.07x) = -3.44+(-4.52x) strategic 1 OK rds -6.73+(-3.07x) = -3.44+(-4.52x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:43:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.73-3.07x = -3.44-4.52x strategic 1 BUG add -3.44 To remove -3.44 from the right side, you can add a positive to it. Erase your last step and add 3.44 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -6.73-3.07x = -3.44-4.52x strategic 2 OK add 3.44 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29-3.07x = -4.52x strategic 1 ERROR subtract 3.07x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:17.0 HINT HINT ES_05 ES_05-7 EG61 -3.29-6.14x = -7.59x strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:17.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 6.14x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:21.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Add 6.14x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:32.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29-3.07x = -4.52x strategic 2 OK add 3.07x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:38.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29 = -1.45x strategic 1 OK divide -1.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.31x+(-3.27) = -9.21x+9.56 strategic 1 OK rds 2.31x+(-3.27) = -9.21x+9.56 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:44:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.31x-3.27 = -9.21x+9.56 strategic 1 OK subtract 9.56 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:45:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.31x-12.83 = -9.21x strategic 1 OK subtract 2.31x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:45:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -12.83 = -11.52x strategic 1 OK divide -11.52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.32+(-1.24y) = -4.5y+2.05 strategic 1 OK rds 6.32+(-1.24y) = -4.5y+2.05 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.32-1.24y = -4.5y+2.05 strategic 1 OK subtract 2.05 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.27-1.24y = -4.5y strategic 1 ERROR subtract 1.24y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.27-1.24y = -4.5y strategic 2 OK add 1.24y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:34.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.27 = -3.26y strategic 1 OK divide -3.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.17+1.65y = -5.9y+(-7.34) strategic 1 OK rds -7.17+1.65y = -5.9y+(-7.34) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.17+1.65y = -5.9y-7.34 strategic 1 OK add 7.34 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:46:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.17+1.65y = -5.9y strategic 1 OK subtract 1.65y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:02.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.17 = -7.55y strategic 1 OK divide -7.55 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:11.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.66y+(-2.25) = 5.01+4.55y strategic 1 OK rds -9.66y+(-2.25) = 5.01+4.55y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:19.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.66y-2.25 = 5.01+4.55y strategic 1 OK subtract 5.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.66y-7.26 = 4.55y strategic 1 ERROR add -9.66y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.66y-7.26 = 4.55y strategic 2 OK add 9.66y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -7.26 = 14.21y strategic 1 OK divide 14.21 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.52+8.78y = -4.8y+8.45 strategic 1 OK subtract 8.45 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:47:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -11.97+8.78y = -4.8y strategic 1 OK subtract 8.78y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -11.97 = -13.58y strategic 1 OK divide -13.58 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.45+6.64x = 3.97x+(-6.82) strategic 1 OK rds -2.45+6.64x = 3.97x+(-6.82) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.45+6.64x = 3.97x-6.82 strategic 1 OK add 6.82 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.37+6.64x = 3.97x strategic 1 OK subtract 6.64x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:37.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.37 = -2.67x strategic 1 OK divide -2.67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:38.0 HINT HINT ES_05 ES_05-7 EG61 -1.63670412 = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+(-4.15) = -2.38y+(-9.01) strategic 1 OK rds -0.34y+(-4.15) = -2.38y+(-9.01) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:48:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15 = -2.38y-9.01 strategic 1 OK add 9.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:49:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y-9.01+9.01 right 1 OK right -2.38y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:49:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y left 1 ERROR left 4.52 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:49:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y left 2 ERROR left 0.34y-4.15+9.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:49:54.0 HINT HINT ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:49:56.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -0.34y-4.15+9.01 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y left 3 OK left -0.34y-4.15+9.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y-4.15+9.01 = -2.38y strategic 2 OK clt -0.34y-4.15+9.01 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK -0.34y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -4.15 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +9.01 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK -0.34y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:50:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 4.86 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -0.34y+4.86 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86 = -2.38y strategic 1 ERROR subtract 0.34 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86 = -2.38y strategic 2 ERROR subtract -0.34 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86 = -2.38y strategic 3 ERROR add 0.34 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:27.0 HINT HINT ES_05 ES_05-8 EG61 -0.34y+4.86 = -2.38y strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:28.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 2 HINT_LEVEL_CHANGE Move -0.34y to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:32.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 3 HINT_LEVEL_CHANGE Subtract -0.34y from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:51:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86 = -2.38y strategic 5 OK subtract -0.34y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:52:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86-(-0.34y) = -2.38y-(-0.34y) right 1 ERROR right -2.04 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:52:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86-(-0.34y) = -2.38y-(-0.34y) right 2 BUG right -2.38y You haven't performed any operations. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:52:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86-(-0.34y) = -2.38y-(-0.34y) right 3 OK right -2.04y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:53:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.34y+4.86-(-0.34y) = -2.04y left 1 OK left 4.86 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:53:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.86 = -2.04y strategic 1 OK divide -2.04 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:53:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.86/-2.04 = -2.04y/-2.04 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:53:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.86/-2.04 = y left 1 OK left -2.3823 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:53:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8 = 6.8x+4.86 strategic 1 ERROR subtract 486 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8 = 6.8x+4.86 strategic 2 OK subtract 4.86 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:10.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8-4.86 = 6.8x+4.86-4.86 right 1 OK right 6.8x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8-4.86 = 6.8x left 1 ERROR left -0.83x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8-4.86 = 6.8x left 2 OK left -4.77x+8.8-4.86 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+8.8-4.86 = 6.8x strategic 1 OK clt -4.77x+8.8-4.86 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK -4.77x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +8.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:54:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -4.86 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:01.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -4.77x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 3.94 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -4.77x+3.94 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+3.94 = 6.8x strategic 1 OK subtract -4.77x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+3.94-(-4.77x) = 6.8x-(-4.77x) right 1 OK right 11.57x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:55:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.77x+3.94-(-4.77x) = 11.57x left 1 OK left 3.94 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:56:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94 = 11.57x strategic 1 OK divide 11.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:56:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94/11.57 = 11.57x/11.57 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:56:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.94/11.57 = x left 1 OK left 0.3405 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y+0.57 = 9.94y+5.62 strategic 1 OK subtract 5.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y+0.57-5.62 = 9.94y+5.62-5.62 right 1 OK right 9.94y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:27.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y+0.57-5.62 = 9.94y left 1 OK left 2.11y+0.57-5.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y+0.57-5.62 = 9.94y strategic 1 OK clt 2.11y+0.57-5.62 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK 2.11y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK +0.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK -5.62 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK 2.11y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:57:55.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK -5.05 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:02.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 2.11y+-5.05 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:09.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y-5.05 = 9.94y strategic 1 ERROR add 2.11y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y-5.05 = 9.94y strategic 2 OK subtract 2.11y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 2.11y-5.05-2.11y = 9.94y-2.11y left 1 OK left -5.05 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.05 = 9.94y-2.11y right 1 OK right 7.83y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.05 = 7.83y strategic 1 OK divide 7.83 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:58:50.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.05/7.83 = 7.83y/7.83 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -5.05/7.83 = y left 1 OK left -0.6445 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:19.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y+(-0.64) = -5.75y+(-1.29) strategic 1 OK rds -0.09y+(-0.64) = -5.75y+(-1.29) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:26.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y-0.64 = -5.75y-1.29 strategic 1 OK add 1.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:31.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y-0.64+1.29 = -5.75y-1.29+1.29 right 1 OK right -5.75y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y-0.64+1.29 = -5.75y left 1 OK left -0.09y-0.64+1.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y-0.64+1.29 = -5.75y strategic 1 OK clt -0.09y-0.64+1.29 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:49.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 OK -0.09y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -0.64 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:53.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +1.29 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 09:59:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 ERROR -0.069y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:04.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 2 OK -0.09y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 0.65 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR -0.09+0.65 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 OK -0.09y+0.65 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y+0.65 = -5.75y strategic 1 ERROR add 0.069y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y+0.65 = -5.75y strategic 2 OK add 0.09y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:00:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -0.09y+0.65+0.09y = -5.75y+0.09y left 1 OK left 0.65 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:01:12.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.65 = -5.75y+0.09y right 1 ERROR right -5.66 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:01:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.65 = -5.75y+0.09y right 2 OK right -5.66y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:01:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.65 = -5.66y strategic 1 OK divide -5.66 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:01:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.65/-5.66 = -5.66y/-5.66 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:01:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 0.65/-5.66 = y left 1 OK left -0.1148 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:02:12.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 843.69x+9128.15 = -150.51x+6651.45 strategic 1 OK subtract 6651.45 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:02:28.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 843.69x+2476.7 = -150.51x strategic 1 OK subtract 843.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:02:34.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 2476.7 = -994.2x strategic 1 OK divide -994.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:02:46.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -62.72x+(-95.12) = 89.76x+97.95 strategic 1 OK rds -62.72x+(-95.12) = 89.76x+97.95 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:02:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -62.72x-95.12 = 89.76x+97.95 strategic 1 OK subtract 97.95 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:03:05.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -62.72x-193.07 = 89.76x strategic 1 OK add 62.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:03:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -193.07 = 152.48x strategic 1 OK divide 152.48 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:03:23.0 CYCLE CYCLE ES_05 ES_05-9 EG62 28.04+(-52.81x) = -27.96+(-51.15x) strategic 1 OK rds 28.04+(-52.81x) = -27.96+(-51.15x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:03:33.0 CYCLE CYCLE ES_05 ES_05-9 EG62 28.04-52.81x = -27.96-51.15x strategic 1 OK add 27.96 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:03:43.0 CYCLE CYCLE ES_05 ES_05-9 EG62 56-52.81x = -51.15x strategic 1 ERROR add 52.81 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:02.0 CYCLE CYCLE ES_05 ES_05-9 EG62 56-52.81x = -51.15x strategic 2 OK add 52.81x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62 56 = 1.66x strategic 1 OK divide 1.66 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:15.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -5735.12+(-346.26y) = -1324.73+329.62y strategic 1 OK rds -5735.12+(-346.26y) = -1324.73+329.62y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -5735.12-346.26y = -1324.73+329.62y strategic 1 OK subtract -1324.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:42.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -4410.39-346.26y = 329.62y strategic 1 OK add 346.26y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:04:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -4410.39 = 675.88y strategic 1 OK divide 675.88 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -4489.21+249.56x = 840.62x+(-3394.89) strategic 1 OK rds -4489.21+249.56x = 840.62x+(-3394.89) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -4489.21+249.56x = 840.62x-3394.89 strategic 1 OK add 3394.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:21.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -1094.32+249.56x = 840.62x strategic 1 OK subtract 249.56x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:29.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -1094.32 = 591.06x strategic 1 OK divide 591.06 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x+(-54.49) = 0.78x+(-2.59) strategic 1 OK rds 69.69x+(-54.49) = 0.78x+(-2.59) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-54.49 = 0.78x-2.59 strategic 1 OK add 2.59 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:05:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-54.49+2.59 = 0.78x-2.59+2.59 right 1 OK right 0.78x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-54.49+2.59 = 0.78x left 1 OK left 69.69x-54.49+2.59 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:08.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-54.49+2.59 = 0.78x strategic 1 OK clt 69.69x-54.49+2.59 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62 x1R1 strategic 1 OK 69.69x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -54.49 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK +2.59 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 xR2 strategic 1 OK 69.69x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -51.9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 69.69x+-51.9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:06:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-51.9 = 0.78x strategic 1 ERROR add 69.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-51.9 = 0.78x strategic 2 OK subtract 69.69x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-51.9-69.69x = 0.78x-69.69x left 1 BUG left 51.9 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 69.69x-51.9-69.69x = 0.78x-69.69x left 2 OK left -51.9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -51.9 = 0.78x-69.69x right 1 ERROR right -68.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -51.9 = 0.78x-69.69x right 2 OK right -68.91x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -51.9 = -68.91x strategic 1 OK divide -68.91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:07:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -51.9/-68.91 = -68.91x/-68.91 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:08:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -51.9/-68.91 = x left 1 OK left 0.7531 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:08:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31 = 72.89y+9149.81 strategic 1 OK subtract 9149.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:08:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31-9149.81 = 72.89y+9149.81-9149.81 right 1 OK right 72.89y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:08:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31-9149.81 = 72.89y left 1 ERROR left -20 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31-9149.81 = 72.89y left 2 ERROR left -20.68-+8972.31-9149.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31-9149.81 = 72.89y left 3 OK left -20.68y+8972.31-9149.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y+8972.31-9149.81 = 72.89y strategic 1 OK clt -20.68y+8972.31-9149.81 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK -20.68y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK +8972.31 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -9149.81 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 ERROR -20.68 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:09:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 2 OK -20.68y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:10:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -177.5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:10:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -20.68y+-177.5 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:10:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y-177.5 = 72.89y strategic 1 OK add 20.68y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:10:57.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -20.68y-177.5+20.68y = 72.89y+20.68y left 1 OK left -177.5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:11:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -177.5 = 72.89y+20.68y right 1 OK right 93.57y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:11:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -177.5 = 93.57y strategic 1 OK divide 93.57 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:11:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -177.5/93.57 = 93.57y/93.57 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:11:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -177.5/93.57 = y left 1 OK left -1.8969 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:11:59.0 CYCLE CYCLE ES_05 ES_05-10 EG62 4.25+5.15y = 41.7+10.12y strategic 1 OK subtract 41.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62 4.25+5.15y-41.7 = 41.7+10.12y-41.7 right 1 OK right 10.12y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62 4.25+5.15y-41.7 = 10.12y left 1 OK left 4.25+5.15y-41.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62 4.25+5.15y-41.7 = 10.12y strategic 1 OK clt 4.25+5.15y-41.7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:17.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 BUG 4.25 4.25
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4.25, is not one of the y terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 2 OK +5.15y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK 4.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms2R1 strategic 1 OK -41.7 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK 5.15y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -37.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:12:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK 5.15y+-37.45 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62 5.15y-37.45 = 10.12y strategic 1 OK subtract 5.15y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 5.15y-37.45-5.15y = 10.12y-5.15y left 1 OK left -37.45 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.45 = 10.12y-5.15y right 1 OK right 4.97y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.45 = 4.97y strategic 1 OK divide 4.97 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.45/4.97 = 4.97y/4.97 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:13:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -37.45/4.97 = y left 1 OK left -7.5352 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:14:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y+(-6790.92) = -33.66y+(-7282.53) strategic 1 OK rds 482.86y+(-6790.92) = -33.66y+(-7282.53) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:14:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y-6790.92 = -33.66y-7282.53 strategic 1 OK add 7282.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:14:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y-6790.92+7282.53 = -33.66y-7282.53+7282.53 right 1 OK right -33.66y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:14:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y-6790.92+7282.53 = -33.66y left 1 OK left 482.86y-6790.92+7282.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y-6790.92+7282.53 = -33.66y strategic 1 OK clt 482.86y-6790.92+7282.53 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:02.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK 482.86y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -6790.92 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +7282.53 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK 482.86y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 491.61 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR 482.86+491.61 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 482.86y+491.61 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:15:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y+491.61 = -33.66y strategic 1 OK subtract 482.86y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:16:03.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 482.86y+491.61-482.86y = -33.66y-482.86y left 1 OK left 491.61 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:16:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 491.61 = -33.66y-482.86y right 1 OK right -516.52y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:16:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 491.61 = -516.52y strategic 1 OK divide -516.52 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:16:28.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 491.61/-516.52 = -516.52y/-516.52 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 sRw6ju2 session23 2007-04-23 10:16:53.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 491.61/-516.52 = y left 1 OK left -0.9518 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 tpE9fo3 session0 2007-04-16 13:27:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 BUG add -4613 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:27:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -9226 = -1144y-5168 strategic 1 BUG add -9226 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:28:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -18452 = -1144y-14394 strategic 1 BUG subtract -18452 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:28:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 0 = -1144y+4058 strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:29:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT 0 = -1144y+4058 strategic 2 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:30:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.547 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:30:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8409 = 3784x+(-4102) strategic 1 BUG add -8409 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:30:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -16818 = 3784x-12511 strategic 1 OK divide 3784 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -8409 = 3784x+(-4102) strategic 2 OK answer-check -1.1382 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:31:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -13.05y+(-3.07) = 12.67 strategic 1 ERROR subtract -13.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:31:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -13.05y+9.98 = 25.72 strategic 1 OK divide -13.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:32:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B -13.05y+(-3.07) = 12.67 strategic 2 OK answer-check -1.2061 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:32:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 5.92+(-8.65y) = -12.38 strategic 1 OK subtract 5.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:32:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -8.65y = -18.3 strategic 1 OK divide -8.65 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:32:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 5.92+(-8.65y) = -12.38 strategic 2 OK answer-check 2.1156 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:32:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5172 = -746+(-1074y) strategic 1 BUG subtract -5172 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:33:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 0 = 4426-1074y strategic 1 BUG divide 4426 You want to isolate -1074y by removing 4426 from the right side. 4426 is added to -1074y. What is the opposite of addition? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:33:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5172 = -746+(-1074y) strategic 2 ERROR answer-check -0.813 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:34:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5172 = -746+(-1074y) strategic 3 ERROR answer-check -0.81395 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:35:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 0 = 4426-1074y strategic 2 BUG add 4426 Since 4426 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4426 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:35:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 4426 = 8852-1074y strategic 1 BUG divide 8852 You want to isolate -1074y by removing 8852 from the right side. 8852 is added to -1074y. What is the opposite of addition? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:36:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 4426 = 8852-1074y strategic 2 BUG add 4426 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:36:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 8852 = 13278-1074y strategic 1 ERROR divide 1074 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:38:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5172 = -746+(-1074y) strategic 4 OK subtract -746 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:38:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -4426 = -1074y strategic 1 OK divide -1074 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:38:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5172 = -746+(-1074y) strategic 5 OK answer-check 4.121 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:38:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -8.36 = -6.45y+7.26 strategic 1 BUG subtract -8.36 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:38:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 0 = -6.45y+15.62 strategic 1 BUG divide 15.62 You want to isolate -6.45y by removing 15.62 from the right side. 15.62 is added to -6.45y. What is the opposite of addition? BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session0 2007-04-16 13:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 0 = -6.45y+15.62 strategic 2 OK divide -6.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:52:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -8.36 = -6.45y+7.26 strategic 1 BUG subtract -8.36 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:52:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 0 = -6.45y+15.62 strategic 1 OK subtract 15.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:52:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -15.62 = -6.45y strategic 1 BUG divide -15.62 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -8.36 = -6.45y+7.26 strategic 2 ERROR answer-check 0.4129 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1 = 0.41293214y strategic 1 ERROR divide 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1 = 0.41293214y strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 1 = 0.41293214y strategic 3 OK divide 0.4129 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -8.36 = -6.45y+7.26 strategic 3 OK answer-check 2.4217 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -73y+(-34) = -30 strategic 1 OK subtract -34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:53:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -73y = 4 strategic 1 OK divide -73 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -73y+(-34) = -30 strategic 2 OK answer-check -4/73 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -60 = -35y+(-88) strategic 1 OK subtract -88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 28 = -35y strategic 1 OK divide -35 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -60 = -35y+(-88) strategic 2 OK answer-check -4/5 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -65.62 = -43.15x+67.56 strategic 1 BUG subtract -65.62 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:54:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 0 = -43.15x+133.18 strategic 1 OK subtract 133.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -133.18 = -43.15x strategic 1 OK divide -43.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -65.62 = -43.15x+67.56 strategic 2 OK answer-check 3.0864 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x) = -9.27 strategic 1 OK subtract -9.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x)-(-9.27) = -9.27-(-9.27) left 1 OK left -13.44x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.44x = -9.27-(-9.27) right 1 OK right -9.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.44x = -9.27 strategic 1 OK divide -13.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:55:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -13.44x/-13.44 = -9.27/-13.44 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:56:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -9.27/-13.44 right 1 OK right 0.689 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 12:56:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x) = -9.27 strategic 2 ERROR answer-check 0.6897 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:01:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x) = -9.27 strategic 3 OK subtract -9.27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:01:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x)-(-9.27) = -9.27-(-9.27) right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:01:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x)-(-9.27) = 0 left 1 OK left -13.44x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:01:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -9.27+(-13.44x) = -9.27 strategic 4 OK answer-check 0 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:02:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 11 = -77y+(-20) strategic 1 BUG subtract 11 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:02:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 11-11 = -77y+(-20)-11 left 1 OK left -77y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:02:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -77y = -77y+(-20)-11 right 1 OK right 31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:02:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -77y = 31 strategic 1 OK divide -77 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:03:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -77y/-77 = 31/-77 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:03:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = 31/-77 right 1 OK right -0.402 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:03:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 11 = -77y+(-20) strategic 2 OK answer-check -0.4026 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:03:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 1 BUG subtract -7.5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:03:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5-(-7.5) = -3.93+(-11.92y)-(-7.5) left 1 OK left -3.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:04:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93 = -3.93+(-11.92y)-(-7.5) right 1 OK right -4.42y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:04:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93 = -4.42y strategic 1 OK divide -4.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:04:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93/-4.42 = -4.42y/-4.42 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:05:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93/-4.42 = y left 1 OK left 0.8891 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:05:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 2 ERROR answer-check 0.8891 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:05:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93 = -4.42y strategic 2 OK divide -4.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:05:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93/-4.42 = -4.42y/-4.42 right 2 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:06:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93/-4.42 = y left 2 OK left 0.88914 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 3 BUG subtract -7.5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5-(-7.5) = -3.93+(-11.92y)-(-7.5) left 2 OK left -3.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93 = -3.93+(-11.92y)-(-7.5) right 2 OK right -11.92y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93 = -11.92y strategic 1 OK divide -11.92 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -3.93/-11.92 = -11.92y/-11.92 left 1 OK left 0.329 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:07:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 0.32969799 = -11.92y/-11.92 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:08:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 4 ERROR answer-check 0.3297 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:08:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 5 OK subtract -3.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:08:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5-(-3.93) = -3.93+(-11.92y)-(-3.93) left 1 OK left -7.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:09:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y)-(-3.93) right 1 OK right -7.99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 6 OK subtract -3.93 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5-(-3.93) = -3.93+(-11.92y)-(-3.93) left 2 OK left -7.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y)-(-3.93) right 2 OK right -7.99y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -7.99y strategic 1 OK divide -7.99 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5/-7.99 = -7.99y/-7.99 left 1 OK left 1.0653 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 1.0653 = -7.99y/-7.99 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:10:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 7 ERROR answer-check 1.0653 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:11:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -7.5 = -3.93+(-11.92y) strategic 8 OK answer-check 0.2995 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:11:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4680+(-912y) = -7092 strategic 1 OK subtract 4680 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:11:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4680+(-912y)-4680 = -7092-4680 left 1 OK left -912y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -912y = -7092-4680 right 1 OK right -11772 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:12:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -912y = -11772 strategic 1 OK divide -912 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:12:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -912y/-912 = -11772/-912 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:12:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = -11772/-912 right 1 OK right 12.90789 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:12:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 4680+(-912y) = -7092 strategic 2 OK answer-check 12.9079 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:13:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 1 ERROR subtract -66.6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:13:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66-(-66.6) = 4.45x+8.74-(-66.6) left 1 OK left 4.45x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:13:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x = 4.45x+8.74-(-66.6) right 1 OK right 75.34 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:13:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x = 75.34 strategic 1 OK divide 4.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:13:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x/4.45 = 75.34/4.45 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:14:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 75.34/4.45 right 1 OK right 16.930 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:14:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 2 ERROR answer-check 16.9303 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:15:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 3 BUG subtract -6.66 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:15:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66-(-6.66) = 4.45x+8.74-(-6.66) left 1 OK left 4.45x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:15:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x = 4.45x+8.74-(-6.66) right 1 OK right 15.4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:15:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x = 15.4 strategic 1 OK divide 4.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:15:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x/4.45 = 15.4/4.45 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 15.4/4.45 right 1 OK right 3.4606 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 4 ERROR answer-check 3.4607 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x = 15.4 strategic 2 OK divide 4.45 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 4.45x/4.45 = 15.4/4.45 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 15.4/4.45 right 2 OK right 3.4606 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 5 ERROR answer-check 3.4606 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:16:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -6.66 = 4.45x+8.74 strategic 6 OK answer-check -3.4607 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:17:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 1 BUG subtract 51 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51-51 = 52+65y-51 left 1 OK left 52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52 = 52+65y-51 right 1 OK right 14y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52 = 14y strategic 1 OK divide 14 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52/14 = 14y/14 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52/14 = y left 1 OK left 3.714 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 2 ERROR answer-check 3.714 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:18:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 3 ERROR answer-check 3.7143 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 4 OK subtract 52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51-52 = 52+65y-52 left 1 OK left 51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y-52 right 1 OK right 13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 13y strategic 1 OK divide 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51/13 = 13y/13 left 1 OK left 3.923 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:19:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 3.92307692 = 13y/13 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:21:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 5 BUG subtract 51 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:21:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51-51 = 52+65y-51 left 2 OK left 52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:21:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52 = 52+65y-51 right 2 OK right 13y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:21:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52 = 13y strategic 1 OK divide 13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:22:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52/13 = 13y/13 left 1 OK left 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:22:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 4 = 13y/13 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:22:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 6 ERROR answer-check 4 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:22:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 51 = 52+65y strategic 7 OK answer-check -0.0154 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:23:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 1 BUG subtract 80 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:23:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80-80 = -70+(-5y)-80 left 1 OK left -70 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:23:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = -70+(-5y)-80 right 1 OK right -85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:23:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = -85y strategic 1 OK divide -85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:24:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70/-85 = -85y/-85 left 1 OK left 0.823 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:24:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.82352941 = -85y/-85 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:24:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 2 ERROR answer-check 0.8235 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:25:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 3 BUG divide 80 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:25:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 4 BUG subtract 80 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:25:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80-80 = -70+(-5y)-80 left 2 OK left -70 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:25:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = -70+(-5y)-80 right 2 OK right 400y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:25:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 400y strategic 1 OK divide 400 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:26:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70/400 = 400y/400 left 1 OK left 0.175 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:26:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0.175 = 400y/400 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:26:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 5 ERROR answer-check 0.175 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:31:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 6 BUG subtract 80 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:31:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80-80 = -70+(-5y)-80 left 3 OK left -70 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:31:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = -70+(-5y)-80 right 3 OK right 85y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:31:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70 = 85y strategic 1 OK divide 85 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:32:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -70/85 = 85y/85 left 1 OK left -0.823 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:32:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -0.82352941 = 85y/85 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:32:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 7 ERROR answer-check -0.8235 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:32:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 80 = -70+(-5y) strategic 8 OK answer-check -30 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 1 OK subtract 20.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x-20.16 = -20.28-20.16 left 1 OK left 31.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 2 OK subtract 20.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x-20.16 = -20.28-20.16 left 2 OK left 31.31x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x = -20.28-20.16 right 1 OK right 40.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x = 40.44 strategic 1 OK divide 31.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:33:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x/31.31 = 40.44/31.31 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:34:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = 40.44/31.31 right 1 OK right 1.291 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:34:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 3 ERROR answer-check 1.291 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:34:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 4 ERROR answer-check 1.2916 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:34:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 5 BUG subtract -20.28 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:35:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x-(-20.28) = -20.28-(-20.28) left 1 OK left 31.31x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:35:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x = -20.28-(-20.28) right 1 OK right -20.28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:35:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x = -20.28 strategic 1 OK divide 31.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:35:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 31.31x/31.31 = -20.28/31.31 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:35:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = -20.28/31.31 right 1 OK right 11.03 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:36:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 6 ERROR answer-check 11.03 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session1 2007-04-20 13:36:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 20.16+31.31x = -20.28 strategic 7 OK answer-check -1.2916 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 1 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-(-52) = 50+1x-(-52) left 1 OK left 50+1x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 50+1x = 50+1x-(-52) right 1 OK right -52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 50+1x = -52 strategic 1 OK unnec-elems 50+1x=-52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 50+x = -52 strategic 1 BUG divide -52 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 (50+x)/-52 = -52/-52 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = -52/-52 right 1 OK right -52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:50:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 2 ERROR answer-check -52 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:51:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 3 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:51:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-(-52) = 50+1x-(-52) left 2 OK left -52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:51:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x-(-52) right 1 OK right 50+1x-(-52) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:51:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x+52 strategic 1 OK unnec-elems -52=50+1x+52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:51:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+x+52 strategic 1 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:52:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-(-52) = 50+x+52-(-52) left 1 OK left 50+x+52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:52:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 4 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:52:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-(-52) = 50+1x-(-52) left 3 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0 = 50+1x-(-52) right 1 OK right 50+1x-(-52) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0 = 50+1x+52 strategic 1 OK unnec-elems 0=50+1x+52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0 = 50+x+52 strategic 1 BUG divide 52 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0/52 = (50+x+52)/52 left 1 OK left 52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 52 = (50+x+52)/52 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 5 ERROR answer-check 52 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:53:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 6 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:54:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-(-52) = 50+1x-(-52) left 4 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:54:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0 = 50+1x-(-52) right 2 OK right 103 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:54:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 7 BUG subtract -52 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:55:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 8 OK subtract 50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-50 = 50+1x-50 left 1 OK left -102 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+1x-50 right 1 OK right 50+1x-50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+1x-50 strategic 1 OK unnec-elems -102=50+1x-50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+x-50 strategic 1 BUG subtract -102 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 9 OK subtract 50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:56:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52-50 = 50+1x-50 left 2 OK left -102 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+1x-50 right 2 OK right 50+1x-50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+1x-50 strategic 2 OK unnec-elems -102=50+1x-50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102 = 50+x-50 strategic 2 BUG divide -102 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -102/-102 = (50+x-50)/-102 left 1 OK left 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 0 = (50+x-50)/-102 right 1 OK right -102x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:57:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -52 = 50+1x strategic 10 OK answer-check -102 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:58:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 1 BUG subtract -1.96 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:58:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y)-(-1.96) = -1.96-(-1.96) right 1 OK right 0 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:58:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 2 OK subtract -4.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:59:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y)-(-4.16) = -1.96-(-4.16) left 1 OK left -11.06y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:59:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y = -1.96-(-4.16) right 1 OK right 6.12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:59:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y = 6.12 strategic 1 OK divide -11.06 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:59:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y/-11.06 = 6.12/-11.06 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 12:59:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = 6.12/-11.06 right 1 OK right -0.55334 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:00:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 3 ERROR answer-check -0.5533 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:00:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 4 ERROR answer-check 0.5533 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:01:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 5 ERROR subtract -11.06 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:01:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y)-(-11.06) = -1.96-(-11.06) left 1 OK left -4.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:01:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16 = -1.96-(-11.06) right 1 OK right -13.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:02:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 6 OK subtract -4.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:02:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y)-(-4.16) = -1.96-(-4.16) left 2 OK left -11.06y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:02:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y = -1.96-(-4.16) right 2 OK right 2.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:02:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y = 2.2 strategic 1 OK divide -11.06 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:02:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -11.06y/-11.06 = 2.2/-11.06 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:03:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = 2.2/-11.06 right 1 OK right -0.1989 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:03:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -4.16+(-11.06y) = -1.96 strategic 7 OK answer-check -0.1989 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:04:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 1 ERROR subtract -3.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:04:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29)-(-3.15) = 5.87-(-3.15) left 1 OK left -1.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:04:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29 = 5.87-(-3.15) right 1 OK right 19.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:04:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29 = 19.02 strategic 1 BUG divide -1.29 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:04:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29/-1.29 = 19.02/-1.29 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 19.02/-1.29 right 1 OK right -14.744 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 2 ERROR answer-check -14.744 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 3 ERROR subtract -3.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29)-(-3.15) = 5.87-(-3.15) left 2 OK left -1.29x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29x = 5.87-(-3.15) right 1 OK right 2.72 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29x = 2.72 strategic 1 OK divide -1.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:05:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -1.29x/-1.29 = 2.72/-1.29 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:06:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 2.72/-1.29 right 1 OK right -2.108 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:06:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 4 ERROR answer-check -2.1085 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:07:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 5 OK rds -3.15x+(-1.29) = 5.87 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:07:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x-1.29 = 5.87 strategic 1 OK add 1.29 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:07:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x-1.29+1.29 = 5.87+1.29 left 1 OK left -3.15x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:08:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x = 5.87+1.29 right 1 OK right 7.16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:08:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x = 7.16 strategic 1 OK divide -3.15 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:08:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x/-3.15 = 7.16/-3.15 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:08:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B x = 7.16/-3.15 right 1 OK right -2.273 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:08:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -3.15x+(-1.29) = 5.87 strategic 6 OK answer-check -2.2730 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 1 OK rds -56+(-39x) = 54 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x = 54 strategic 1 BUG add -56 To remove -56 from the left side, you can add a positive to it. Erase your last step and add 56 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x+(-56) = 54+(-56) left 1 OK left 39x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 39x = 54+(-56) right 1 OK right -2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 39x = -2 strategic 1 OK divide 39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 39x/39 = -2/39 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = -2/39 right 1 OK right -0.05 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 2 ERROR answer-check -0.0513 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:09:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 3 OK rds -56+(-39x) = 54 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x = 54 strategic 2 BUG add -56 To remove -56 from the left side, you can add a positive to it. Erase your last step and add 56 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x+(-56) = 54+(-56) left 2 OK left 39x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x = 54 strategic 3 ERROR add 39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56-39x+39 = 54+39 left 1 OK left -56x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56x = 54+39 right 1 OK right 94 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56x = 94 strategic 1 OK divide -56 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:10:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56x/-56 = 94/-56 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:11:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 94/-56 right 1 OK right -1.678 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:11:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 4 ERROR answer-check -1.678 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:11:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 5 ERROR answer-check -1.6786 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:11:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -56+(-39x) = 54 strategic 6 OK answer-check -2.8205 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y+(-28) = -48 strategic 1 OK rds 61y+(-28) = -48 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y-28 = -48 strategic 1 OK add 28 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y-28+28 = -48+28 left 1 OK left 61y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y = -48+28 right 1 OK right -20 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y = -20 strategic 1 OK divide 61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y/61 = -20/61 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 y = -20/61 right 1 OK right -0.327 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y+(-28) = -48 strategic 2 ERROR answer-check 0.3279 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:12:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 61y+(-28) = -48 strategic 3 OK answer-check -0.3279 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:13:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 1 OK rds -59.15 = 69.44+(-40.75x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:13:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 1 BUG add -59.15 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:13:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+(-59.15) = 69.44-40.75x+(-59.15) left 1 OK left 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44 = 69.44-40.75x+(-59.15) right 1 OK right 40.75x+(-59.15) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44 = 40.75x+(-59.15) strategic 1 BUG subtract 69.44 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44-69.44 = 40.75x+(-59.15)-69.44 left 1 OK left 40.75x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x = 40.75x+(-59.15)-69.44 right 1 OK right -128.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x = -128.59 strategic 1 OK divide 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:14:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x/40.75 = -128.59/40.75 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:15:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = -128.59/40.75 right 1 OK right -3.1555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:15:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 2 ERROR answer-check -3.1556 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:15:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 3 OK rds -59.15 = 69.44+(-40.75x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:16:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 2 ERROR add 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 3 ERROR add 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:16:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+40.75 = 69.44-40.75x+40.75 right 1 OK right 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:17:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 4 ERROR add 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:17:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+40.75 = 69.44-40.75x+40.75 right 2 OK right 69.44x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+40.75 = 69.44x left 1 OK left -18.4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:17:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.4 = 69.44x strategic 1 OK divide 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:17:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.4/69.44 = 69.44x/69.44 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:18:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.4/69.44 = x left 1 OK left -.02649 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:18:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 4 ERROR answer-check -0.0265 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:18:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 5 OK rds -59.15 = 69.44+(-40.75x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:18:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 5 BUG add -59.15 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:19:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+(-59.15) = 69.44-40.75x+(-59.15) left 2 OK left 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:19:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44 = 69.44-40.75x+(-59.15) right 2 OK right 40.75x+(-59.15) condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:19:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44 = 40.75x+(-59.15) strategic 2 BUG subtract 69.44 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:19:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44-69.44 = 40.75x+(-59.15)-69.44 left 2 OK left 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:19:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44 = 40.75x+(-59.15) strategic 3 BUG subtract 69.44 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:20:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 69.44-69.44 = 40.75x+(-59.15)-69.44 left 3 OK left 40.75x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:20:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x = 40.75x+(-59.15)-69.44 right 2 OK right -128.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:20:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x = -128.59 strategic 2 OK divide 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:20:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 40.75x/40.75 = -128.59/40.75 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:20:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = -128.59/40.75 right 2 OK right -3.15558 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:21:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 6 OK rds -59.15 = 69.44+(-40.75x) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:21:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 6 OK add 40.75x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:21:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+40.75x = 69.44-40.75x+40.75x left 1 OK left 99.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:21:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 99.9 = 69.44-40.75x+40.75x right 1 OK right 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:21:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 7 BUG add -59.15 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44-40.75x strategic 8 ERROR add 40.75 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15+40.75 = 69.44-40.75x+40.75 left 1 OK left 99.9x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 99.9x = 69.44-40.75x+40.75 right 1 OK right 69.44 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 99.9x = 69.44 strategic 1 OK divide 99.9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 99.9x/99.9 = 69.44/99.9 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 x = 69.44/99.9 right 1 OK right 1.4386 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:22:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 7 ERROR answer-check 1.386 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:23:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -59.15 = 69.44+(-40.75x) strategic 8 OK answer-check 3.1556 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:23:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y+(-4050) = -796 strategic 1 OK rds 7003y+(-4050) = -796 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:23:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y-4050 = -796 strategic 1 ERROR add 7003 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:23:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y-4050+7003 = -796+7003 left 1 OK left -4050y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:24:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4050y = -796+7003 right 1 OK right 6207 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:24:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4050y = 6207 strategic 1 OK divide -4050 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:24:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4050y/-4050 = 6207/-4050 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:24:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = 6207/-4050 right 1 OK right -1.532 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:24:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y+(-4050) = -796 strategic 2 ERROR answer-check 1.5326 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:25:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y-4050 = -796 strategic 2 OK add 4050 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:25:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y-4050+4050 = -796+4050 left 1 OK left 7003y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:25:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y = -796+4050 right 1 OK right 3254 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:25:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y = 3254 strategic 1 OK divide 7003 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:25:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y/7003 = 3254/7003 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:26:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = 3254/7003 right 1 OK right 0.464 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:26:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 7003y+(-4050) = -796 strategic 3 OK answer-check 0.4647 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:26:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24+(-11.42x) = -4.47 strategic 1 OK rds -1.24+(-11.42x) = -4.47 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:26:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 1 BUG add -4.47 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 2 BUG add -1.24 To remove -1.24 from the left side, you can add a positive to it. Erase your last step and add 1.24 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x+(-1.24) = -4.47+(-1.24) left 1 OK left 11.42x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -4.47+(-1.24) right 1 OK right -5.71 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -5.71 strategic 1 OK divide 11.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x/11.42 = -5.71/11.42 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -5.71/11.42 right 1 OK right -0.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:27:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24+(-11.42x) = -4.47 strategic 2 ERROR answer-check -0.5 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:28:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 3 BUG add -4.47 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:30:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 4 OK add 1.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:30:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x+1.24 = -4.47+1.24 left 1 OK left 11.42x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:30:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -4.47+1.24 right 1 OK right -3.23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:30:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -3.23 strategic 1 OK divide 11.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:30:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x/11.42 = -3.23/11.42 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:31:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -3.23/11.42 right 1 OK right -0.282 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:31:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24+(-11.42x) = -4.47 strategic 3 ERROR answer-check -0.2828 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:33:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 5 OK add 1.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:33:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x+1.24 = -4.47+1.24 left 2 OK left 11.42x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:33:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -4.47+1.24 right 2 OK right -3.23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:33:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x = -3.23 strategic 2 OK divide 11.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:33:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C 11.42x/11.42 = -3.23/11.42 left 2 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:34:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -3.23/11.42 right 2 OK right -0.2828 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:35:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24+(-11.42x) = -4.47 strategic 1 OK rds -1.24+(-11.42x) = -4.47 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:35:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 1 OK add 1.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:35:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x+1.24 = -4.47+1.24 left 1 OK left 11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:35:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x = -4.47 strategic 2 OK add 1.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:36:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24-11.42x+1.24 = -4.47+1.24 left 2 OK left -11.42x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:36:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.42x = -4.47+1.24 right 1 OK right -3.23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.42x = -3.23 strategic 1 ERROR divide -11.24 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.42x = -3.23 strategic 2 OK divide -11.42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -11.42x/-11.42 = -3.23/-11.42 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C x = -3.23/-11.42 right 1 OK right 0.2828 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42C -1.24+(-11.42x) = -4.47 strategic 2 OK answer-check 0.2828 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:37:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x+60 = 68 strategic 1 ERROR subtract -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:38:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x+60 = 68 strategic 2 ERROR rds -58x+60 = 68 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x+60 = 68 strategic 3 OK subtract 60 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x+60-60 = 68-60 left 1 OK left -58x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x = 68-60 right 1 OK right 8 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x = 8 strategic 1 OK divide -58 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x/-58 = 8/-58 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 x = 8/-58 right 1 OK right -0.137 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session2 2007-04-23 13:39:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -58x+60 = 68 strategic 4 OK answer-check -0.1379 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:50:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 1 ERROR subtract -18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:50:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 2 OK subtract 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:50:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-17.37 = 7.02-17.37 left 1 OK left -18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:50:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02-17.37 right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:51:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02 strategic 1 OK divide -18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:51:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02 strategic 2 BUG divide -18.57y Dividing anything by itself will leave 1. If you divide -18.57y by -18.57, y will be left. Erase your last step and then divide by -18.57. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:51:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y/(-18.57y) = 7.02/(-18.57y) left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:51:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 7.02/(-18.57y) right 1 OK right -0.378 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:51:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 3 ERROR answer-check -0.378 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 4 OK subtract -18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-(-18.57y) = 7.02-(-18.57y) left 1 OK left 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37 = 7.02-(-18.57y) right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37 = 7.02 strategic 1 BUG divide 17.37y You already solved the equation. 17.37 can never be equal to 7.02, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37/(17.37y) = 7.02/(17.37y) left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:52:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 7.02/(17.37y) right 1 OK right 0.404 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:53:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 5 ERROR answer-check 0.404 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:53:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 6 OK subtract 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:53:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-17.37 = 7.02-17.37 left 2 OK left -18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:53:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02-17.37 right 2 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02 strategic 3 BUG divide -18.57y Dividing anything by itself will leave 1. If you divide -18.57y by -18.57, y will be left. Erase your last step and then divide by -18.57. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y/(-18.57y) = 7.02/(-18.57y) left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 7.02/(-18.57y) right 2 OK right 25.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y = 7.02 strategic 4 BUG divide -18.57y Dividing anything by itself will leave 1. If you divide -18.57y by -18.57, y will be left. Erase your last step and then divide by -18.57. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y/(-18.57y) = 7.02/(-18.57y) left 3 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:54:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 7.02/(-18.57y) right 3 OK right -0.378 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 7 ERROR subtract 18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:55:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-18.57y = 7.02-18.57y left 1 OK left 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:55:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37 = 7.02-18.57y right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:55:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 8 ERROR subtract 18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-18.57y = 7.02-18.57y left 2 OK left 17.37y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37y = 7.02-18.57y right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37y = 7.02 strategic 1 BUG divide 17.37y Dividing anything by itself will leave 1. If you divide 17.37y by 17.37, y will be left. Erase your last step and then divide by 17.37. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37y/(17.37y) = 7.02/(17.37y) left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 7.02/(17.37y) right 2 OK right 0.404 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:56:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 9 ERROR add -18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 10 ERROR add 18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37+18.57 = 7.02+18.57 left 1 OK left 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37 = 7.02+18.57 right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37 = 7.02 strategic 2 BUG divide 17.37 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 17.37/17.37 = 7.02/17.37 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:57:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 11 ERROR add 18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:58:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 12 ERROR add 18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:59:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 13 OK subtract 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:59:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-17.37 = 7.02-17.37 left 3 OK left 18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:59:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 18.57y = 7.02-17.37 right 1 OK right 7.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:59:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 14 OK subtract 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 12:59:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-17.37 = 7.02-17.37 left 4 OK left 18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:00:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 15 OK subtract 17.37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:00:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37-17.37 = 7.02-17.37 left 5 OK left 18.57y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:00:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 18.57y = 7.02-17.37 right 2 OK right -10.35 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:00:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 18.57y = -10.35 strategic 1 OK divide 18.57 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:01:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 18.57y/18.57 = -10.35/18.57 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:01:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = -10.35/18.57 right 1 OK right 0.557 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:01:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -18.57y+17.37 = 7.02 strategic 16 OK answer-check 0.557 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504 = -4834x+3416 strategic 1 OK subtract 3416 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504-3416 = -4834x+3416-3416 right 1 OK right 4834x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504-3416 = 4834x left 1 OK left -7920 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7920 = 4834x strategic 1 OK divide 4834 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7920/4834 = 4834x/4834 left 1 OK left -1.638 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:02:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1.6383947 = 4834x/4834 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:03:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504 = -4834x+3416 strategic 2 ERROR answer-check -1.6384 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:04:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504 = -4834x+3416 strategic 3 OK subtract 3416 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:05:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504-3416 = -4834x+3416-3416 right 2 OK right -4834x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:05:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504-3416 = -4834x left 1 OK left -7920 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:05:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7920 = -4834x strategic 1 OK divide -4834 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:05:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -7920/-4834 = -4834x/-4834 left 1 OK left 1.638 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:06:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 1.6383947 = -4834x/-4834 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:06:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -4504 = -4834x+3416 strategic 4 OK answer-check 1.6384 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:06:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04) = -9.35 strategic 1 OK subtract -5.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:06:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04)-(-5.04) = -9.35-(-5.04) left 1 OK left -14.08y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y = -9.35-(-5.04) right 1 OK right 14.39 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y = 14.39 strategic 1 OK divide -14.08 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y/-14.08 = 14.39/-14.08 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = 14.39/-14.08 right 1 OK right 1.02201 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04) = -9.35 strategic 2 ERROR answer-check 1.0220 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:07:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04) = -9.35 strategic 3 ERROR answer-check -1.0220 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:08:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04) = -9.35 strategic 4 OK subtract -5.04 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:08:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04)-(-5.04) = -9.35-(-5.04) left 2 OK left -14.08y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:09:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y = -9.35-(-5.04) right 2 OK right 4.31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y = 4.31 strategic 1 OK divide -14.08 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:09:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y/-14.08 = 4.31/-14.08 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:09:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = 4.31/-14.08 right 1 OK right 0.3061 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:10:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B -14.08y+(-5.04) = -9.35 strategic 5 OK answer-check 0.3061 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:10:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6552+3929x = 7990 strategic 1 OK subtract -6552 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:10:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6552+3929x-(-6552) = 7990-(-6552) left 1 OK left 3929x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:11:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3929x = 7990-(-6552) right 1 OK right 14542 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3929x = 14542 strategic 1 OK divide 3929 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 3929x/3929 = 14542/3929 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A x = 14542/3929 right 1 OK right 3.7011 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -6552+3929x = 7990 strategic 2 OK answer-check 3.7011 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 70.18+94.62y = -11.95 strategic 1 OK subtract 70.18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:12:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 70.18+94.62y-70.18 = -11.95-70.18 left 1 OK left 94.62y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:13:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 94.62y = -11.95-70.18 right 1 OK right -82.13 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:13:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 94.62y = -82.13 strategic 1 OK divide 94.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:13:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 94.62y/94.62 = -82.13/94.62 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:13:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = -82.13/94.62 right 1 OK right -0.867 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:13:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 70.18+94.62y = -11.95 strategic 2 OK answer-check -0.8680 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 12.69 = 7.66x+11.08 strategic 1 OK subtract 11.08 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 12.69-11.08 = 7.66x+11.08-11.08 right 1 OK right 7.66x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 12.69-11.08 = 7.66x left 1 OK left 1.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.61 = 7.66x strategic 1 OK divide 7.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 1.61/7.66 = 7.66x/7.66 left 1 OK left 0.2101 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.21018277 = 7.66x/7.66 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:14:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 12.69 = 7.66x+11.08 strategic 2 OK answer-check 0.2102 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:15:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 661+310/x = -467 strategic 1 BUG subtract -661 To remove 661 from the left side, you can subtract a positive from it. Erase your last step and subtract 661 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:16:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 1322+310/x = 194 strategic 1 ERROR divide 310 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:16:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 1322+310/x = 194 strategic 2 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:17:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A (1322+310/x)*x = 194x strategic 1 ERROR divide -1128 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:17:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A 661+310/x = -467 strategic 2 OK answer-check -0.274 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:18:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 1 ERROR answer-check 1.454545 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:18:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 2 BUG add 42 Since 42 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 42 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:19:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+84 = 47 strategic 1 BUG multiply 47 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:19:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 (17/x+84)*47 = 2209 strategic 1 OK divide 47 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:19:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 3 ERROR answer-check 0.361 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:20:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+84 = 47 strategic 2 BUG divide 47 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:23:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 4 OK subtract 42 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:23:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x = -37 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:23:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17 = -37x strategic 1 BUG divide -37x Dividing anything by itself will leave 1. If you divide -37x by -37, x will be left. Erase your last step and then divide by -37. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:23:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 5 ERROR answer-check 1 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:24:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 6 ERROR answer-check 0.459 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:24:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -17/(37x) = 1 strategic 1 ERROR divide 37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:25:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -17/(37x) = 1 strategic 2 OK multiply 37x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:25:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -17 = 37x strategic 1 OK divide 37 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I tpE9fo3 session3 2007-04-27 13:25:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 17/x+42 = 5 strategic 7 OK answer-check -17/37 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I udA9670 session0 2007-05-04 08:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:27:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:28:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -0.95 = 1.15+14.62x strategic 1 OK subtract 1.15 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:28:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42C -2.1 = 14.62x strategic 1 OK divide 14.62 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:28:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 43 = -94+(-88y) strategic 1 OK subtract -94 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:28:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 137 = -88y strategic 1 OK divide -88 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:28:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -3038+510y = -7109 strategic 1 BUG add -3038 To remove -3038 from the left side, you can add a positive to it. Erase your last step and add 3038 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:29:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -3038+510y = -7109 strategic 2 OK subtract -3038 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 510y = -4071 strategic 1 BUG divide -4071 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:29:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 510y = -4071 strategic 2 OK divide 510 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:29:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -7.29+(-8.89y) = 8.64 strategic 1 OK subtract -7.29 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:30:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -8.89y = 15.93 strategic 1 OK divide -8.89 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:30:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -31 = -5+39y strategic 1 OK subtract -5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:30:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -26 = 39y strategic 1 OK divide 39 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:30:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 7.52 = -5.47+(-8.81y) strategic 1 OK subtract -5.47 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:30:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 12.99 = -8.81y strategic 1 OK divide -8.81 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:31:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x+70.21 = 45.24 strategic 1 OK subtract 70.21 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x+70.21-70.21 = 45.24-70.21 left 1 OK left 46.47x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:32:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x = 45.24-70.21 right 1 ERROR right -24.74 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x = 45.24-70.21 right 2 OK right -24.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:33:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x = -24.97 strategic 1 OK divide 46.47 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:33:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 46.47x/46.47 = -24.97/46.47 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:33:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -24.97/46.47 right 1 ERROR right 1.86103324 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:34:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -24.97/46.47 right 2 BUG right -1.86103324 You need to calculate -24.97 divided by 46.47, not 46.47 divided by -24.97. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:35:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -24.97/46.47 right 3 OK right -0.537335915 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y+(-4984) = 2864 strategic 1 OK subtract -4984 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y+(-4984)-(-4984) = 2864-(-4984) left 1 BUG left -2178 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:36:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y+(-4984)-(-4984) = 2864-(-4984) left 2 OK left -2178y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:37:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y = 2864-(-4984) right 1 OK right 7848 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:38:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y = 7848 strategic 1 OK divide -2178 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -2178y/-2178 = 7848/-2178 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:39:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = 7848/-2178 right 1 OK right -3.603305785 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:39:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 11y+21 = -42 strategic 1 OK subtract 21 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:39:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 11y+21-21 = -42-21 left 1 OK left 11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:39:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 11y = -42-21 right 1 OK right -63 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:40:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 11y = -63 strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 11y/11 = -63/11 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:40:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = -63/11 right 1 OK right -5.727272 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.14 = 0.46x+(-3.7) strategic 1 BUG subtract 3.7 Since -3.7 is negative, you should add to remove it from the right side. Erase your last step and add 3.7 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:41:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.14 = 0.46x+(-3.7) strategic 2 OK subtract -3.7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:41:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.14-(-3.7) = 0.46x+(-3.7)-(-3.7) right 1 OK right 0.46x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 11.14-(-3.7) = 0.46x left 1 OK left 14.84 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:42:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.84 = 0.46x strategic 1 OK divide 0.46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:42:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.84/0.46 = 0.46x/0.46 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:42:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.84/0.46 = x left 1 OK left 32.26086957 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:43:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 31 = -557+(-711/y) strategic 1 ERROR distribute 31 = -557+(-711/y) strategic condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:43:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 31 = -557+(-711/y) strategic 2 OK subtract -557 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:44:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 588 = -711/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:44:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 588y = -711 strategic 1 OK divide 588 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:44:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 438/y+(-175) = 509 strategic 1 OK subtract -175 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:44:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 438/y = 684 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:44:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 438 = 684y strategic 1 OK divide 684 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:45:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -68+(-64/y) = 24 strategic 1 OK subtract -68 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:45:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -64/y = 92 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:45:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -64 = 92y strategic 1 OK divide 92 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:46:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -109/y+443 = -309 strategic 1 OK subtract 443 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:46:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -109/y = -752 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:46:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -109 = -752y strategic 1 OK divide -752 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:46:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -107 = -979/y+(-436) strategic 1 OK subtract -436 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:47:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -107-(-436) = -979/y+(-436)-(-436) left 1 OK left 329 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:47:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329 = -979/y+(-436)-(-436) right 1 OK right -979/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:47:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329 = -979/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:47:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329y = -979/y*y left 1 OK left 329y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:48:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329y = -979/y*y right 1 OK right -979 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:48:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329y = -979 strategic 1 OK divide 329 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:48:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 329y/329 = -979/329 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:48:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -979/329 right 1 OK right -2.975683891 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 18 = -52/x+1 strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 18-1 = -52/x+1-1 right 1 OK right -52/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 18-1 = -52/x left 1 OK left 17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17 = -52/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17x = -52/x*x left 1 OK left 17x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17x = -52/x*x right 1 OK right -52 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17x = -52 strategic 1 OK divide 17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:49:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 17x/17 = -52/17 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:50:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -52/17 right 1 BUG right 3.058823529 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:50:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -52/17 right 2 OK right -3.058823529 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:50:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/x+154 = 163 strategic 1 OK subtract 154 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/x+154-154 = 163-154 left 1 OK left 652/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/x = 163-154 right 1 OK right 9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/x = 9 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/x*x = 9x left 1 OK left 652 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652 = 9x right 1 OK right 9x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652 = 9x strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:51:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/9 = 9x/9 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:52:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 652/9 = x left 1 OK left 72.44444444 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:52:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -2y+(-5) = 10+5y strategic 1 OK add 5 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:52:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -2y = 15+5y strategic 1 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:53:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7y = 15 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:53:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y+(-2) = 1+4y strategic 1 OK subtract -2 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:53:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y = 3+4y strategic 1 OK subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:53:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -12y = 3 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:53:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7y+1 = -4y+(-9) strategic 1 OK subtract -9 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:54:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7y+10 = -4y strategic 1 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:54:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10 = -11y strategic 1 OK divide -11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:54:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4+(-2y) = -3y+2 strategic 1 OK subtract -2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:54:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4 = -y+2 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:54:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2 = -y strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:55:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y) = -1y+(-8) strategic 1 OK subtract -8 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:55:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y+(-8)-(-8) right 1 OK right -1y condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 08:56:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y left 1 ERROR left 6+7y condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:00:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y left 2 ERROR left 6-(-8) condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:00:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y left 3 ERROR left 6y-(-8) condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:00:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y left 4 ERROR left 6-(-8y) condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:01:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:01:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 6+(-1y)-(-8) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:01:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-1y)-(-8) = -1y left 5 OK left 6+(-1y)-(-8) condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:01:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6-1y+8 = -1y strategic 1 OK unnec-elems 6-1y+8=-1y condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 1 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 2 BUG add 6 Since 6 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 6 from both sides. BUG condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:38.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 5 OK clt 6-y+8 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG  y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 BUG +8 +8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +8, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:02:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 5 BUG  y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6-y+8 = -1y strategic 6 OK clt 6-y+8 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 6 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 7 BUG  y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 8 BUG +8 +8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +8, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 9 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 10 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 11 BUG  y Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +8 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 12 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the y terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 13 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:07:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 6 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 OK 14 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK -y condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR -y14 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 ERROR -14y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 ERROR 14y condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:39.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 INITIAL_HINT 14y Above, you have [-y]+[14]. Enter -y+14 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 INITIAL_HINT 14y Above, you have [-y]+[14]. Enter -y+14 as your result. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:08:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 OK -y+14 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+14 = -1y strategic 1 BUG subtract 14 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+14 = -1y strategic 2 BUG subtract 14 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -y+14 = -1y strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:09:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+14 = -1y strategic 4 OK subtract -y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:10:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+14-(-y) = -1y-(-y) right 1 BUG right -1y You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I udA9670 session0 2007-05-04 09:10:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -y+14-(-y) = -1y-(-y) right 2 ERROR right 1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:25:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:25:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:25:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 21.43x+99.07 = -24.74 strategic 1 BUG subtract -99.07 To remove 99.07 from the left side, you can subtract a positive from it. Erase your last step and subtract 99.07 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:26:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 21.43x+99.07 = -24.74 strategic 2 OK subtract 99.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:26:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 21.43x = -123.81 strategic 1 OK divide 21.43 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:26:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 23y+(-48) = 92 strategic 1 OK add 48 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:26:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 23y = 140 strategic 1 OK divide 23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:27:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 11.81+9.59x = -3.29 strategic 1 ERROR subtract 16.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:27:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 11.81+9.59x = -3.29 strategic 2 ERROR subtract -16.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:27:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 11.81+9.59x = -3.29 strategic 3 ERROR subtract 16.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:27:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 11.81+9.59x = -3.29 strategic 4 OK subtract 11.81 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42C 9.59x = -15.1 strategic 1 OK divide 9.59 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:28:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -4574+3571x = 7438 strategic 1 OK add 4574 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:28:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 3571x = 12012 strategic 1 OK divide 3571 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:28:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -9.36x+14.95 = 2.13 strategic 1 OK subtract 14.95 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:28:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -9.36x = -12.82 strategic 1 OK divide -9.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:29:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -24y+(-17) = -9 strategic 1 OK add 17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:29:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -24y = 8 strategic 1 OK divide -24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:29:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -8.71 = -14.88+(-2.67x) strategic 1 OK add 14.88 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:29:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -8.71+14.88 = -14.88+(-2.67x)+14.88 right 1 OK right -2.67x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -8.71+14.88 = -2.67x left 1 OK left 6.17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:30:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 6.17 = -2.67x strategic 1 OK divide -2.67 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 6.17/-2.67 = -2.67x/-2.67 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:30:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C 6.17/-2.67 = x left 1 OK left -2.310861423 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -49 = 26+12y strategic 1 OK subtract 26 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -49-26 = 26+12y-26 left 1 OK left -75 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -75 = 26+12y-26 right 1 OK right 12y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -75 = 12y strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -75/12 = 12y/12 left 1 OK left -6.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -6.25 = 12y/12 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:31:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.48y+(-1.84) = 0.32 strategic 1 OK add 1.84 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.48y+(-1.84)+1.84 = 0.32+1.84 right 1 OK right 2.16 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.48y+(-1.84)+1.84 = 2.16 left 1 OK left 5.48y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.48y = 2.16 strategic 1 OK divide 5.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 5.48y/5.48 = 2.16/5.48 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A y = 2.16/5.48 right 1 OK right 0.3941605 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:32:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -53/x+(-62) = -38 strategic 1 OK add 62 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -53/x = 24 strategic 1 ERROR multiply 53 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -53/x = 24 strategic 2 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59 -53 = 24x strategic 1 OK divide 24 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -68 = -65+(-43/x) strategic 1 OK add 65 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -3 = -43/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:33:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -3x = -43 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -88 = 390/x+(-319) strategic 1 OK add 319 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 231 = 390/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 231x = 390 strategic 1 OK divide 231 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -95+(-543/x) = 153 strategic 1 OK add 95 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -543/x = 248 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -543 = 248x strategic 1 OK divide 248 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/x+(-184) = -584 strategic 1 OK add 184 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:34:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/x+(-184)+184 = -584+184 left 1 OK left 176/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/x = -584+184 right 1 OK right -400 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/x = -400 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/x*x = -400x left 1 OK left 176 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176 = -400x right 1 OK right -400x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176 = -400x strategic 1 OK divide -400 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/-400 = -400x/-400 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 176/-400 = x left 1 OK left -0.44 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x+61 = -62 strategic 1 OK subtract 61 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x+61-61 = -62-61 left 1 OK left -(69/x) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x = -62-61 right 1 BUG right 1 1 is equal to 62 minus 61. You need to calculate -62 minus 61. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x = -62-61 right 2 BUG right 123 You need to calculate -62 minus 61, not 61 minus -62. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x = -62-61 right 3 OK right -123 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:36:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x = -123 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:37:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/x*x = -123x left 1 OK left -69 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:37:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69 = -123x right 1 OK right -123x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:37:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69 = -123x strategic 1 OK divide -123 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:37:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/-123 = -123x/-123 left 1 BUG left 1.7826086 You need to calculate -69 divided by -123, not -123 divided by -69. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -69/-123 = -123x/-123 left 2 OK left 0.560975 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 0.56097561 = -123x/-123 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -805 = 375/x+(-759) strategic 1 OK add 759 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -805+759 = 375/x+(-759)+759 right 1 OK right 375/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -805+759 = 375/x left 1 OK left -46 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -46 = 375/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -46x = 375/x*x left 1 OK left -46x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -46x = 375/x*x right 1 OK right 375 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:38:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -46x = 375 strategic 1 OK divide -46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:39:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -46x/-46 = 375/-46 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:39:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 375/-46 right 1 OK right -8.1521739 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:39:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -4+3y = -2y+(-5) strategic 1 OK add 4 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:39:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 3y = -2y-1 strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:39:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 5y = -1 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:40:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6+(-8y) = 1y+(-8) strategic 1 OK add 8 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:40:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14-8y = y strategic 1 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:40:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:40:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+2x = 7+(-1x) strategic 1 BUG add -5 To remove -5 from the left side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:40:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+2x = 7+(-1x) strategic 2 BUG add -1x Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+2x = 7+(-1x) strategic 3 OK add 1x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+3x = 7 strategic 1 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = 12 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4+(-9y) = -9+(-3y) strategic 1 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4-6y = -9 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4-6y = -9 strategic 2 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = -13 strategic 1 BUG divide 6 In this equation, y is multiplied by -6. Dividing by 6 leaves -y, so you still need to remove the negative sign. It is better to divide by -6, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:42:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = -13 strategic 2 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:42:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-2x) = 1x+6 strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:42:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-2x)-6 = 1x+6-6 right 1 OK right 1x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:42:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-2x)-6 = 1x left 1 OK left 4+(-2x)-6 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:42:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4-2x-6 = 1x strategic 1 OK unnec-elems 4-2x-6=1x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:43:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4-2x-6 = x strategic 1 BUG add 2x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:43:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4-2x-6 = x strategic 2 BUG subtract 4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-2x) = 1x+6 strategic 2 OK subtract 4 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-2x)-4 = 1x+6-4 left 1 OK left -2x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 1x+6-4 right 1 OK right 1x+6-4 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = 1x+6-4 strategic 1 OK unnec-elems -2x=1x+6-4 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x = x+6-4 strategic 1 OK subtract 1x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x-1x = x+6-4-1x left 1 BUG left -1x -1x is equal to -2x plus 1x. You need to calculate -2x minus 1x. BUG condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:44:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2x-1x = x+6-4-1x left 2 OK left -3x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:45:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = x+6-4-1x right 1 OK right 6-4 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:45:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 6-4 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:45:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x/-3 = (6-4)/-3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:45:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 1 BUG right 0.666666 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:45:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 2 BUG right -0.666666 Just divide 6-4 by -3. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:46:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 3 BUG right 2/-3 Just divide 6-4 by -3. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:46:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 4 ERROR right 7.33333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:46:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 5 ERROR right -7.33333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:46:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 6 ERROR right 7.333333333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:47:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 7 ERROR right 3/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:47:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 8 BUG right -2/3 Just divide 6-4 by -3. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:47:37.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:47:38.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in (6-4)/-3 on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 right 9 OK right (6-4)/-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 strategic 2 OK rf (6-4)/-3 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = (6-4)/-3 strategic 4 OK rf (6-4)/-3 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 BUG 0.6666 0.6666
Check the sign of your answer. BUG condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK -0.6666 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = -0.6666 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:48:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+7 = 6+(-5x) strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1x+7+5x = 6+(-5x)+5x left 1 OK left 6x+7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+7 = 6+(-5x)+5x right 1 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+7 = 6 strategic 1 ERROR clt 6x+7 = 6 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+7 = 6 strategic 2 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+7-7 = 6-7 left 1 OK left 6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x = 6-7 right 1 OK right -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x = -1 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x/6 = -1/6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:49:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -1/6 right 1 OK right -(1/6) condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:50:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+(-5) = -9x+3 strategic 1 OK add 5 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:50:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+(-5)+5 = -9x+3+5 left 1 OK left -6x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:50:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = -9x+3+5 right 1 OK right -9x+8 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:50:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = -9x+8 strategic 1 ERROR add -9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = -9x+8 strategic 2 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x+9x = -9x+8+9x left 1 OK left 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = -9x+8+9x right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = 8 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x/3 = 8/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 8/3 right 1 OK right 2.6667 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:51:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+(-4y) = -5+(-5y) strategic 1 OK add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+(-4y)+5y = -5+(-5y)+5y left 1 OK left -6+y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+y = -5+(-5y)+5y right 1 OK right -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+y = -5 strategic 1 OK add 6 condition 2 [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6+y+6 = -5+6 left 1 OK left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5+6 right 1 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:52:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.01y+4.5 = -8.95y+0.36 strategic 1 OK subtract 4.5 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:53:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.01y = -8.95y-4.14 strategic 1 ERROR add -8.95 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:53:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.01y = -8.95y-4.14 strategic 2 ERROR add 8.95 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:53:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -0.01y = -8.95y-4.14 strategic 3 OK add 8.95y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:53:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 8.94y = -4.14 strategic 1 OK divide 8.94 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:53:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.38x+(-2.05) = -2.72x+3.69 strategic 1 OK subtract 3.69 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:54:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.38x-5.74 = -2.72x strategic 1 OK subtract 2.38x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:54:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.74 = -5.1x strategic 1 OK divide -5.1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:54:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.34+(-8.42y) = -4.98y+(-9.92) strategic 1 OK add 9.92 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:55:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.58-8.42y = -4.98y strategic 1 OK add 8.42y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:55:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.58 = 3.44y strategic 1 OK divide 3.44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:55:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.27y+6.71 = 5.45y+(-7.38) strategic 1 OK subtract 6.71 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:56:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.27y = 5.45y-14.09 strategic 1 OK subtract 5.45y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:56:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.72y = -14.09 strategic 1 OK divide -6.72 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:56:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.59+(-1.23x) = -2.73+(-7.2x) strategic 1 OK add 2.73 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:57:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.59+(-1.23x)+2.73 = -2.73+(-7.2x)+2.73 left 1 OK left -1.86+(-1.23x) condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:57:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86+(-1.23x) = -2.73+(-7.2x)+2.73 right 1 OK right -7.2x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:57:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86+(-1.23x) = -7.2x strategic 1 OK add 1.23x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:57:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86+(-1.23x)+1.23x = -7.2x+1.23x left 1 OK left -1.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86 = -7.2x+1.23x right 1 ERROR right -5.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86 = -7.2x+1.23x right 2 ERROR right 5.97 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86 = -7.2x+1.23x right 3 OK right -5.97x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86 = -5.97x strategic 1 OK divide -5.97 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.86/-5.97 = -5.97x/-5.97 left 1 OK left 0.3115577 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:58:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.31155779 = -5.97x/-5.97 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:59:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.9y+4.51 = 6.89+0.82y strategic 1 OK subtract 6.89 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:59:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.9y+4.51-6.89 = 6.89+0.82y-6.89 left 1 OK left 0.9y+-2.38 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 08:59:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.9y+(-2.38) = 6.89+0.82y-6.89 right 1 OK right 0.82y condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:00:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.9y+(-2.38) = 0.82y strategic 1 OK subtract 0.9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:00:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.9y+(-2.38)-0.9y = 0.82y-0.9y left 1 OK left -2.38 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:00:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.38 = 0.82y-0.9y right 1 ERROR right 0.03y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:01:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.38 = 0.82y-0.9y right 2 ERROR right -0.08 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:01:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.38 = 0.82y-0.9y right 3 OK right -0.08y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:01:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.38 = -0.08y strategic 1 OK divide -0.08 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:02:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.38/-0.08 = -0.08y/-0.08 left 1 OK left 29.75 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:02:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 29.75 = -0.08y/-0.08 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:02:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.17+8.31x = 6.22+(-7.75x) strategic 1 OK subtract 6.22 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:02:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.17+8.31x-6.22 = 6.22+(-7.75x)-6.22 right 1 OK right -7.75x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:03:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.17+8.31x-6.22 = -7.75x left 1 OK left 0.95+8.31x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:03:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95+8.31x = -7.75x strategic 1 OK subtract 8.31x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:03:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95+8.31x-8.31x = -7.75x-8.31x left 1 OK left 0.95 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:03:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95 = -7.75x-8.31x right 1 ERROR right -15.11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:03:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95 = -7.75x-8.31x right 2 ERROR right -15.11x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:04:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95 = -7.75x-8.31x right 3 OK right -16.06x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:04:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95 = -16.06x strategic 1 OK divide -16.06 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:05:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.95/-16.06 = -16.06x/-16.06 left 1 OK left -0.059153 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.05915318 = -16.06x/-16.06 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:05:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 20.32+22x = 42.22+27.3x strategic 1 OK subtract 20.32 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:05:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 22x = 21.9+27.3x strategic 1 ERROR subtract 27.3 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:05:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 22x = 21.9+27.3x strategic 2 OK subtract 27.3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:06:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -5.3x = 21.9 strategic 1 OK divide -5.3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:06:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 155.63x+767.43 = 47.37x+6582.21 strategic 1 OK subtract 767.43 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:06:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 155.63x = 47.37x+5814.78 strategic 1 OK subtract 47.37x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:06:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 108.26x = 5814.78 strategic 1 OK divide 108.26 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:07:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 13.44+(-21.66y) = -64.01y+69.96 strategic 1 OK add 21.66y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:07:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 13.44 = -42.35y+69.96 strategic 1 OK subtract 69.96 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -56.52 = -42.35y strategic 1 OK divide -42.35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:07:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 3002.44+(-240.42x) = 7869.17+(-437.26x) strategic 1 OK add 240.42x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:07:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 3002.44 = 7869.17-196.84x strategic 1 OK subtract 7869.17 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:08:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A -4866.73 = -196.84x strategic 1 OK divide -196.84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:08:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07+(-823.39x) = -238.93x+2550.14 strategic 1 OK add 823.39x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:08:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07+(-823.39x)+823.39x = -238.93x+2550.14+823.39x left 1 OK left 2174.07 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:09:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07 = -238.93x+2550.14+823.39x right 1 OK right 584.46x+2550.14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:09:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07 = 584.46x+2550.14 strategic 1 OK subtract 2550.14 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:09:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07-2550.14 = 584.46x+2550.14-2550.14 left 1 BUG left 376.07 You need to calculate 2174.07 minus 2550.14, not 2550.14 minus 2174.07. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:10:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07-2550.14 = 584.46x+2550.14-2550.14 left 2 ERROR left -2336.07 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:11:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 2174.07-2550.14 = 584.46x+2550.14-2550.14 left 3 OK left -376.07 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:11:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -376.07 = 584.46x+2550.14-2550.14 right 1 OK right 584.46x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:11:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -376.07 = 584.46x strategic 1 OK divide 584.46 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -376.07/584.46 = 584.46x/584.46 left 1 OK left -0.643448 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:11:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -0.64344865 = 584.46x/584.46 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:12:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99 = 43.35+86.29x strategic 1 ERROR subtract 86.29 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:12:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99 = 43.35+86.29x strategic 2 OK subtract 43.35 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:12:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99-43.35 = 43.35+86.29x-43.35 right 1 OK right 86.29x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:13:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99-43.35 = 86.29x left 1 ERROR left 5.47 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:13:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99-43.35 = 86.29x left 2 ERROR left 73.46+5.47 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:13:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99-43.35 = 86.29x left 3 ERROR left 73.46x+5.47 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:14:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+67.99-43.35 = 86.29x left 4 OK left 73.46x+24.64 condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:14:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+24.64 = 86.29x strategic 1 BUG divide 86.29 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 (73.46x+24.64)/86.29 = 86.29x/86.29 right 1 OK right x condition 2 cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+24.64 = 86.29x strategic 2 OK subtract 73.46x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 73.46x+24.64-73.46x = 86.29x-73.46x left 1 OK left 24.64 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 24.64 = 86.29x-73.46x right 1 OK right 12.83x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 24.64 = 12.83x strategic 1 OK divide 12.83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 24.64/12.83 = 12.83x/12.83 left 1 OK left 1.920498 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:15:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 1.92049883 = 12.83x/12.83 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:16:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 4109.86+(-583.5x) = 371.33x+2456.98 strategic 1 OK add 583.5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:16:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 4109.86+(-583.5x)+583.5x = 371.33x+2456.98+583.5x left 1 OK left 4109.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:16:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 4109.86 = 371.33x+2456.98+583.5x right 1 OK right 954.83x+2456.98 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:17:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 4109.86 = 954.83x+2456.98 strategic 1 OK subtract 2456.98 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:17:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 4109.86-2456.98 = 954.83x+2456.98-2456.98 left 1 OK left 1652.88 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:17:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 1652.88 = 954.83x+2456.98-2456.98 right 1 OK right 954.83x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:17:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 1652.88 = 954.83x strategic 1 OK divide 954.83 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:18:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 1652.88/954.83 = 954.83x/954.83 left 1 OK left 1.7310725 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I ug982yk session0 2007-04-27 09:18:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 1.73107255 = 954.83x/954.83 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I vL4lMaM session25 2007-05-23 13:23:18.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:23:29.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:23:41.0 CYCLE CYCLE ES_05 ES_05-1 EG43 14+94y = 45 strategic 1 OK subtract 14 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:23:47.0 CYCLE CYCLE ES_05 ES_05-1 EG43 94y = 31 strategic 1 OK divide 94 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:23:59.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -13.37 = -1x+(-8.91) strategic 1 OK add 8.91 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:24:06.0 CYCLE CYCLE ES_05 ES_05-1 EG42B -4.46 = -x strategic 1 OK divide -1 condition 1 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:24:22.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -6.08+(-4.51x) = -9.75 strategic 1 OK add 6.08 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:24:35.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -6.08+(-4.51x)+6.08 = -9.75+6.08 left 1 BUG left -4.51 You forgot the x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:24:41.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -6.08+(-4.51x)+6.08 = -9.75+6.08 left 2 OK left -4.51X condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:24:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.51X = -9.75+6.08 right 1 OK right -3.67 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:25:06.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.51X = -3.67 strategic 1 OK divide -4.51 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:25:10.0 CYCLE CYCLE ES_05 ES_05-2 EG42C -4.51X/-4.51 = -3.67/-4.51 left 1 OK left X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:25:26.0 CYCLE CYCLE ES_05 ES_05-2 EG42C X = -3.67/-4.51 right 1 OK right 0.813747228 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:25:37.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9650+5485y = 7899 strategic 1 OK subtract 9650 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:26:05.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9650+5485y-9650 = 7899-9650 left 1 ERROR left 485Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:26:16.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 9650+5485y-9650 = 7899-9650 left 2 OK left 5485Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:26:28.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5485Y = 7899-9650 right 1 OK right -1751 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:26:37.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5485Y = -1751 strategic 1 OK divide 5485 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:26:41.0 CYCLE CYCLE ES_05 ES_05-2 EG43A 5485Y/5485 = -1751/5485 left 1 OK left Y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:00.0 CYCLE CYCLE ES_05 ES_05-2 EG43A Y = -1751/5485 right 1 OK right -0.319234275 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:14.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44+64y = -71 strategic 1 OK add 44 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:20.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -44+64y+44 = -71+44 left 1 OK left 64Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:27.0 CYCLE CYCLE ES_05 ES_05-2 EG43 64Y = -71+44 right 1 OK right -27 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43 64Y = -27 strategic 1 OK divide 64 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43 64Y/64 = -27/64 left 1 OK left Y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:27:49.0 CYCLE CYCLE ES_05 ES_05-2 EG43 Y = -27/64 right 1 OK right -0.421875 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:01.0 CYCLE CYCLE ES_05 ES_05-2 EG42 37.97x+99.52 = -71.8 strategic 1 OK subtract 99.52 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:07.0 CYCLE CYCLE ES_05 ES_05-2 EG42 37.97x+99.52-99.52 = -71.8-99.52 left 1 OK left 37.97X condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:24.0 CYCLE CYCLE ES_05 ES_05-2 EG42 37.97X = -71.8-99.52 right 1 OK right -171.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:32.0 CYCLE CYCLE ES_05 ES_05-2 EG42 37.97X = -171.32 strategic 1 OK divide 37.97 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42 37.97X/37.97 = -171.32/37.97 left 1 OK left X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:28:51.0 CYCLE CYCLE ES_05 ES_05-2 EG42 X = -171.32/37.97 right 1 OK right -4.511983145 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:11.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.5 = -6.73y+5.99 strategic 1 OK subtract 5.99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:17.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.5-5.99 = -6.73y+5.99-5.99 right 1 OK right -6.73Y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:28.0 CYCLE CYCLE ES_05 ES_05-2 EG42A 0.5-5.99 = -6.73Y left 1 OK left -5.49 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:36.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -5.49 = -6.73Y strategic 1 OK divide -6.73 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:39.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -5.49/-6.73 = -6.73Y/-6.73 right 1 OK right Y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:29:55.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -5.49/-6.73 = Y left 1 OK left 0.815750371 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:31:26.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 72 = -942/y+462 strategic 1 ERROR multiply 942 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:33:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 72 = -942/y+462 strategic 2 OK multiply Y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:35:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 72 = -942/y+462 strategic 3 OK subtract 462 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:35:52.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -390 = -942/y strategic 1 ERROR multiply -Y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:36:13.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -390 = -942/y strategic 2 ERROR multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:36:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 390y = 942 strategic 1 OK divide 390 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:36:31.0 CYCLE CYCLE ES_05 ES_05-3 EG59 91+18/y = 28 strategic 1 OK subtract 91 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:36:45.0 CYCLE CYCLE ES_05 ES_05-3 EG59 18/y = -63 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:36:51.0 CYCLE CYCLE ES_05 ES_05-3 EG59 18 = -63y strategic 1 OK divide -63 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:01.0 CYCLE CYCLE ES_05 ES_05-3 EG59 19 = 92/x+(-77) strategic 1 OK add 77 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59 96 = 92/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:12.0 CYCLE CYCLE ES_05 ES_05-3 EG59 96x = 92 strategic 1 OK divide 96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:24.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11 = -46+79/x strategic 1 OK add 46 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:33.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11+46 = -46+79/x+46 right 1 OK right 79/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -11+46 = 79/x left 1 OK left 35 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:37:54.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35 = 79/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:05.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35x = 79/x*x right 1 ERROR right 79x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35x = 79/x*x right 2 OK right 79 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35x = 79 left 1 OK left 35x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:22.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35x = 79 strategic 1 OK divide 35 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 35x/35 = 79/35 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 79/35 right 1 OK right 2.257142857 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 694+353/y = -545 strategic 1 OK subtract 694 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:38:56.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 694+353/y-694 = -545-694 left 1 OK left 353/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353/y = -545-694 right 1 OK right -1239 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:21.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353/y = -1239 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:26.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353/y*y = -1239y left 1 OK left 353 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353 = -1239y right 1 OK right -1239y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353 = -1239y strategic 1 OK divide -1239 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:40.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353/-1239 = -1239y/-1239 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:39:59.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 353/-1239 = y left 1 OK left -0.284907183 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:13.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y+(-539) = -464 strategic 1 OK add 539 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y+(-539)+539 = -464+539 left 1 OK left 615/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:29.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y = -464+539 right 1 OK right 75 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y = 75 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:41.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y*y = 75y right 1 OK right 75y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:40:44.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/y*y = 75y left 1 OK left 615 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:41:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615 = 75y strategic 1 ERROR divide 8.2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:41:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615 = 75y strategic 2 ERROR divide y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:41:32.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615 = 75y strategic 3 OK divide 75 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:41:38.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/75 = 75y/75 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:41:46.0 CYCLE CYCLE ES_05 ES_05-4 EG59A 615/75 = y left 1 OK left 8.2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:17.0 CYCLE CYCLE ES_05 ES_05-4 EG59 43 = 56/x+(-48) strategic 1 OK add 48 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 43+48 = 56/x+(-48)+48 right 1 OK right 56/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 43+48 = 56/x left 1 OK left 91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:36.0 CYCLE CYCLE ES_05 ES_05-4 EG59 91 = 56/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 91x = 56/x*x left 1 OK left 91x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 91x = 56/x*x right 1 OK right 56 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59 91x = 56 strategic 1 OK divide 91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:42:55.0 CYCLE CYCLE ES_05 ES_05-4 EG59 91x/91 = 56/91 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:43:08.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 56/91 right 1 OK right 0.615384615 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:43:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y+(-6) = 6+(-5y) strategic 1 OK add 6 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:43:50.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = 12-5y strategic 1 ERROR add 5 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:44:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -3y = 12-5y strategic 2 OK add 5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:44:15.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2y = 12 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:44:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1+1x = -3x+(-2) strategic 1 OK add 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:44:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+x = -3x strategic 1 OK subtract 1x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:44:51.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = -4x strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:45:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x+8 = 7+(-9x) strategic 1 OK subtract 7 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:45:33.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -2x+1 = -9x strategic 1 OK add 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:45:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1 = -7x strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:45:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 1y+7 = -10y+4 strategic 1 OK subtract 4 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:06.0 CYCLE CYCLE ES_05 ES_05-5 EG60 y+3 = -10y strategic 1 OK subtract 1y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = -11y strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-4x) = -1+(-3x) strategic 1 OK add 5 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5+(-4x)+5 = -1+(-3x)+5 left 1 OK left -4x condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = -1+(-3x)+5 right 1 OK right 4+-3x condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x = 4+(-3x) strategic 1 OK add 3x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x+3x = 4+(-3x)+3x right 1 OK right 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:46:58.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -4x+3x = 4 left 1 OK left -1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x = 4 strategic 1 OK divide -1 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -1x/-1 = 4/-1 left 1 OK left x condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:15.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 4/-1 right 1 OK right -4 condition 1 cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = -4 strategic 1 BUG divide 1 You already solved the equation. x is -4. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:48.0 HINT HINT ES_05 ES_05-6 EG60 x = -4 strategic 2 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247w34xrp1--Period 8--algebra I vL4lMaM session25 2007-05-23 13:47:52.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 cwctc 247w34xrp1--Period 8--algebra I vg01i2P session0 2007-04-24 13:49:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 ERROR answer-check -3.54 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 13:50:08.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR answer-check -3.54720 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 13:51:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 ERROR answer-check -3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 13:53:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 4 OK answer-check 3.5472 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 13:59:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B 11.13x+14.4 = 4.56 strategic 1 ERROR answer-check -0.8717 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:01:27.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42B 11.13x+14.4 = 4.56 strategic 2 OK answer-check -0.8840 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:04:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -58x+(-39) = 36 strategic 1 OK answer-check -1.2931 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:17:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 8.23+(-2.13y) = 2.75 strategic 1 ERROR answer-check -5.1549 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:17:18.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 8.23+(-2.13y) = 2.75 strategic 2 ERROR answer-check -5.15492 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:18:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 8.23+(-2.13y) = 2.75 strategic 3 ERROR answer-check 5.1549 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:18:22.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42B 8.23+(-2.13y) = 2.75 strategic 4 OK answer-check 2.5728 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session0 2007-04-24 14:20:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -88 = -75y+85 strategic 1 ERROR answer-check -2.3066 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 13:48:45.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 -88 = -75y+85 strategic 1 OK answer-check 2.3066 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 13:53:09.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43A 1688 = -8922+(-8021y) strategic 1 OK answer-check -1.3227 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 13:56:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -4.84y+(-2.93) = 10.65 strategic 1 ERROR answer-check -1.5950 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 13:59:48.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -4.84y+(-2.93) = 10.65 strategic 2 ERROR answer-check 1.2004 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:01:06.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -4.84y+(-2.93) = 10.65 strategic 3 ERROR answer-check 1.5950 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:01:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42A -4.84y+(-2.93) = 10.65 strategic 4 OK answer-check -2.8058 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:04:10.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG42C 10.55x+(-8.2) = -1.26 strategic 1 OK answer-check 0.6578 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:05:30.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1 EG43 18+55y = 21 strategic 1 OK answer-check 0.0545 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:07:38.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -2879 = -660y+(-5223) strategic 1 ERROR answer-check 3.5515 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:08:28.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43A -2879 = -660y+(-5223) strategic 2 OK answer-check -3.5515 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:11:41.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42B -2.05 = -1.82+11.66y strategic 1 OK answer-check -0.01972 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:13:01.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG43 -32+90x = 39 strategic 1 OK answer-check 0.78888 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:14:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-2 EG42 14.39 = 75.79x+1.19 strategic 1 OK answer-check 0.17416 condition 4 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:16:33.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 -49 = 48/x+(-40) strategic 1 ERROR answer-check -432 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:21:53.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3a EG59 -49 = 48/x+(-40) strategic 2 OK answer-check -16/3 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:25:44.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59A 736/x+352 = -488 strategic 1 OK answer-check -0.8761 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:28:04.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 45+55/y = 37 strategic 1 OK answer-check -6.875 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:29:36.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18/x+(-98) = -17 strategic 1 ERROR answer-check -0.1978 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:29:56.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18/x+(-98) = -17 strategic 2 ERROR answer-check -42/17 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vg01i2P session1 2007-04-26 14:32:24.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-3 EG59 -18/x+(-98) = -17 strategic 3 OK answer-check -0.2222 condition 4 Remove variable from denominator. wilkinsburghs-15221 248e8k0y6y--7--Alg I vvqel4f session0 2007-04-16 13:26:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:26:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide 11444 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/5722 = -286y/2861 strategic 1 ERROR multiply 286 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:28:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:29:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 1 ERROR multiply 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:29:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -2029/572 = -y strategic 2 OK multiply -1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:31:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.547202 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:31:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -2294 = 7932x+7349 strategic 1 OK subtract 7349 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:31:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -9643 = 7932x strategic 1 BUG divide -9643 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 1 BUG multiply 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:35:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:35:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 3 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session0 2007-04-16 13:38:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 4 BUG multiply -7932 To remove the you need to multiply. Erase your last step and then multiply both sides by 9643. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 12:54:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 1 ERROR clt 1 = -7932x/9643 strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 12:55:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A 1 = -7932x/9643 strategic 2 BUG divide 7932/9643 In this equation, x is multiplied by -7932/9643. Dividing by 7932/9643 leaves -x, so you still need to remove the negative sign. It is better to divide by -7932/9643, since that would leave x. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:01:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -2294 = 7932x+7349 strategic 1 ERROR answer-check condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:07:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -9643 = 7932x strategic 1 OK divide 7932 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:07:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43A -2294 = 7932x+7349 strategic 2 OK answer-check -1.2157 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:09:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 3.8 = -9.25+(-14.98x) strategic 1 OK add 9.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:09:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 13.05 = -14.98x strategic 1 ERROR divide -14.95 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:09:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 3.8 = -9.25+(-14.98x) strategic 2 OK answer-check -0.8712 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:10:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.74 = 7.55y+11.84 strategic 1 OK subtract 11.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:10:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C -5.1 = 7.55y strategic 1 OK divide 7.55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:10:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 6.74 = 7.55y+11.84 strategic 2 OK answer-check -0.6755 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:10:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 29 = 2y+(-94) strategic 1 ERROR subtract 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:11:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 27 = 2y-96 strategic 1 BUG divide 27 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:11:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 29 = 2y+(-94) strategic 2 OK add 94 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:11:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 123 = 2y strategic 1 OK divide 2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:11:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 29 = 2y+(-94) strategic 3 OK answer-check 123/2 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8138 = 6431x+(-3073) strategic 1 OK add 3073 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:12:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -5065 = 6431x strategic 1 OK divide 6431 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:12:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -8138 = 6431x+(-3073) strategic 2 OK answer-check -5065/6431 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:12:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 14.49 = -10.62+(-2.02y) strategic 1 ERROR add 2.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:13:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 14.49 = -10.62+(-2.02y) strategic 2 ERROR subtract -2.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:13:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 14.49 = -10.62+(-2.02y) strategic 3 ERROR subtract 2.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:13:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 12.47 = -12.64-2.02y strategic 1 OK divide -2.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:14:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 14.49 = -10.62+(-2.02y) strategic 4 OK subtract -10.62 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:14:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 25.11 = -2.02y strategic 1 OK divide -2.02 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:14:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A 14.49 = -10.62+(-2.02y) strategic 5 OK answer-check -12.4307 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:15:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 1 OK subtract 98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:15:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 2 ERROR subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:15:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18-(-3) = 98+(-3y)-(-3) left 1 OK left -18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:15:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y)-(-3) right 1 OK right 98y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:15:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98y strategic 1 OK divide 98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:16:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18/98 = 98y/98 left 1 OK left -0.183 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:16:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -0.18367347 = 98y/98 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:16:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 3 ERROR answer-check -0.1873 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:16:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 4 ERROR answer-check -0.1837 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 5 ERROR subtract -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18-(-3) = 98+(-3y)-(-3) left 2 OK left -18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y)-(-3) right 2 OK right -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = -3 strategic 1 BUG divide -3 You already solved the equation. -18 can never be equal to -3, so there is no solution to this equation. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18/-3 = -3/-3 left 1 OK left -18/-3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:18:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18/-3 = -3/-3 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:19:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 6 ERROR answer-check 6 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:19:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 7 OK subtract 98 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:19:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18-98 = 98+(-3y)-98 left 1 OK left -18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:19:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y)-98 right 1 OK right -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:20:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = -3y strategic 1 BUG divide -3y Dividing anything by itself will leave 1. If you divide -3y by -3, y will be left. Erase your last step and then divide by -3. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:20:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18/(-3y) = -3y/(-3y) left 1 OK left -116 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:20:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -116 = -3y/(-3y) right 1 OK right -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:20:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -18 = 98+(-3y) strategic 8 OK answer-check 38.66667 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:20:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 77.84 = 50.76x+(-57.03) strategic 1 ERROR subtract 50.76 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:21:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 77.84-50.76 = 50.76x+(-57.03)-50.76 left 1 OK left 77.84 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I vvqel4f session1 2007-04-27 13:21:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 77.84 = 50.76x+(-57.03)-50.76 right 1 OK right -57.03 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I x3A11ty session1 2007-05-03 08:46:16.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK answer-check 2029/572 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I x3A11ty session1 2007-05-03 08:48:32.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG42 -52.66 = 0.25y+(-52.72) strategic 1 OK answer-check .24 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I x3A11ty session1 2007-05-03 08:49:31.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -63 = 39+(-44x) strategic 1 ERROR answer-check 51-22 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I x3A11ty session1 2007-05-03 08:49:40.0 CYCLE CYCLE HW_CONDN4 HW_CONDN4-1a EG43 -63 = 39+(-44x) strategic 2 OK answer-check 51/22 condition 4 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247s1e7g2s--1--Alg I yYUfIIB session0 2007-04-16 13:25:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:25:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide -11444 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:25:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:25:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:25:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -5.52 = -12.33+2.5y strategic 1 OK add 12.33 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:26:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C 6.81 = 2.5y strategic 1 OK divide 2.5 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:26:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42C -5.52 = -12.33+2.5y strategic 2 OK answer-check 2.724 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:26:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 81 = 16y+87 strategic 1 OK subtract 87 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:26:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -6 = 16y strategic 1 OK divide 16 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:26:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 81 = 16y+87 strategic 2 OK answer-check -3/8 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6211x+2992 = 6010 strategic 1 ERROR add 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6211x+2992 = 6010 strategic 2 OK subtract 2992 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6211x = 3018 strategic 1 OK divide 6211 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 6211x+2992 = 6010 strategic 3 OK answer-check 3018/6211 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 60.32+48.52y = 15.24 strategic 1 OK subtract 60.32 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:27:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 48.52y = -45.08 strategic 1 OK divide 48.52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 60.32+48.52y = 15.24 strategic 2 ERROR answer-check 0.9291 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 60.32+48.52y = 15.24 strategic 3 OK answer-check -0.9291 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -7 = 88y+(-7) strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 0 = 88y strategic 1 OK divide 88 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -7 = 88y+(-7) strategic 2 OK answer-check 0 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:28:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.66x+(-0.41) = 8.8 strategic 1 OK add .41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:29:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.66x = 9.21 strategic 1 OK divide -2.66 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:29:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42A -2.66x+(-0.41) = 8.8 strategic 2 OK answer-check -3.4624 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:29:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x+(-10.61) = 12.02 strategic 1 OK add 10.61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:29:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x+(-10.61)+10.61 = 12.02+10.61 left 1 OK left -6.25x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:30:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x = 12.02+10.61 right 1 OK right 22.63 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:30:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x = 22.63 strategic 1 OK divide -6.25 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:30:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x/-6.25 = 22.63/-6.25 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:30:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A x = 22.63/-6.25 right 1 OK right -3.6208 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:31:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -6.25x+(-10.61) = 12.02 strategic 2 OK answer-check -3.6208 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:31:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -99 = 89+17x strategic 1 OK subtract 89 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:31:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -99-89 = 89+17x-89 left 1 OK left -188 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:31:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -188 = 89+17x-89 right 1 OK right 17x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -188 = 17x strategic 1 OK divide 17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -188/17 = 17x/17 left 1 OK left -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -188 = 17x strategic 2 OK divide 17 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -188/17 = 17x/17 left 2 OK left -11.0588 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -11.05882353 = 17x/17 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:32:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -99 = 89+17x strategic 2 OK answer-check -11.0588 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:33:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6589 = -7548+6152x strategic 1 OK add 7548 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:33:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6589+7548 = -7548+6152x+7548 left 1 OK left 14137 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:33:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 14137 = -7548+6152x+7548 right 1 OK right 6152x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:33:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 14137 = 6152x strategic 1 OK divide 6152 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:34:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 14137/6152 = 6152x/6152 left 1 OK left 2.2979 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:34:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2.29795189 = 6152x/6152 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:34:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 6589 = -7548+6152x strategic 2 OK answer-check 2.2980 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:34:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -28/x+41 = -74 strategic 1 BUG subtract -41 To remove 41 from the left side, you can subtract a positive from it. Erase your last step and subtract 41 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:34:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -28/x+41 = -74 strategic 2 OK subtract 41 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -28/x = -115 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -28 = -115x strategic 1 OK divide -115 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59 -28/x+41 = -74 strategic 3 OK answer-check 28/115 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -67/x+(-3) = -26 strategic 1 OK add 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -67/x = -23 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:35:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -67 = -23x strategic 1 OK divide -23 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:36:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -67/x+(-3) = -26 strategic 2 OK answer-check 67/23 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:36:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -264 = 199+677/y strategic 1 OK subtract 199 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:36:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -463 = 677/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:36:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -463y = 677 strategic 1 OK divide -463 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:37:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -264 = 199+677/y strategic 2 OK answer-check -677/463 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:37:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 47/y+(-22) = -65 strategic 1 OK add 22 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:37:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 47/y = -43 strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:37:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 47 = -43y strategic 1 OK divide -43 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:37:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 47/y+(-22) = -65 strategic 2 OK answer-check -47/43 condition 3 Remove variable from denominator. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:38:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79 = -52/x+(-18) strategic 1 OK add 18 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79+18 = -52/x+(-18)+18 left 1 OK left -61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61 = -52/x+(-18)+18 right 1 OK right -52/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61 = -52/x strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61x = -52/x*x left 1 OK left -61x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61x = -52/x*x right 1 OK right -52 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61x = -52 strategic 1 OK divide -61 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -61x/-61 = -52/-61 left 1 OK left x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:39:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = -52/-61 right 1 OK right .8524 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session0 2007-04-16 13:40:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -79 = -52/x+(-18) strategic 2 OK answer-check .8525 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:20:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 1 OK add 383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:21:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 1 BUG subtract 383 Since -383 is negative, you should add to remove it from the right side. Erase your last step and add 383 to both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:21:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234-383 = -383+452/y-383 right 1 OK right 452/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:21:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234-383 = 452/y left 1 OK left -234-383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:21:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234-383 = 452/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:21:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (-234-383)*y = 452/y*y right 1 OK right 452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (-234-383)*y = 452 left 1 OK left -617y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:22:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -617y = 452 strategic 1 OK divide -617 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:23:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234-383 = 452/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session1 2007-04-25 13:23:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (-234-383)*y = 452/y*y right 2 OK right 452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:53:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A (-234-383)*y = 452 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:53:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 1 ERROR answer-check 452 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:53:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:53:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y = (-383+452/y)*y left 1 OK left -234y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:54:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y = (-383+452/y)*y right 1 OK right -383+452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:54:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y = -383+452 strategic 1 OK clt -383+452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:54:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 1 ERROR 63 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:55:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 2 OK 69 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:55:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 3 ERROR -69 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:56:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 4 OK -383+452 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:57:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A FinalAnswer strategic 5 OK 69 condition 3 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:58:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y = -383+452 strategic 2 OK clt -383+452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:58:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y = 69 strategic 1 OK divide -234 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:58:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234y/-234 = 69/-234 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:58:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 69/-234 right 1 OK right -0.2948 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:58:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 3 ERROR answer-check -0.2949 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 12:59:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 4 OK add 383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234+383 = -383+452/y+383 left 1 OK left 149 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149 = -383+452/y+383 right 1 OK right 452/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:15.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149 = 452/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452/y*y left 1 OK left 149y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452/y*y right 1 OK right 452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452 strategic 1 OK divide 149 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:00:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y/149 = 452/149 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:01:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 452/149 right 1 OK right 3.0335 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:01:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 5 OK add 383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:01:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234+383 = -383+452/y+383 left 2 OK left 149 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149 = -383+452/y+383 right 2 OK right 452/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149 = 452/y strategic 2 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452/y*y left 2 OK left 149y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452/y*y right 2 OK right 452 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y = 452 strategic 2 OK divide 149 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 149y/149 = 452/149 left 2 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:02:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 452/149 right 2 OK right 3.0335 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:03:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -234 = -383+452/y strategic 6 OK add 383 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:04:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -488 = -748+682/y strategic 1 OK add 748 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -488+748 = -748+682/y+748 left 1 OK left 260 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260 = -748+682/y+748 right 1 OK right 682/y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260 = 682/y strategic 1 OK multiply y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260y = 682/y*y left 1 OK left 260y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260y = 682/y*y right 1 OK right 682 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260y = 682 strategic 1 OK divide 260 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 260y/260 = 682/260 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:05:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A y = 682/260 right 1 OK right 2.6230 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -488 = -748+682/y strategic 2 OK answer-check 2.6231 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -462+904/x = 719 strategic 1 OK add 462 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -462+904/x+462 = 719+462 left 1 OK left 904/x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904/x = 719+462 right 1 OK right 1181 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904/x = 1181 strategic 1 OK multiply x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904/x*x = 1181x left 1 OK left 904 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904 = 1181x right 1 OK right 1181x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:06:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904 = 1181x strategic 1 OK divide 1181 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:07:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904/1181 = 1181x/1181 right 1 OK right x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:07:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 904/1181 = x left 1 OK left .7654 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:07:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -462+904/x = 719 strategic 2 OK answer-check .7654 condition 3 Remove variable from denominator, type-in. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:08:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5x+9 = 1x+(-9) strategic 1 OK subtract 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:08:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5x = x-18 strategic 1 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:08:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 4x = -18 strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:08:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 5x+9 = 1x+(-9) strategic 2 OK answer-check -9/2 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:08:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y+(-9) = 2+(-3y) strategic 1 ERROR subtract 46 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:09:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y-55 = -44-3y strategic 1 ERROR subtract 16x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:09:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y-55-16x = -44-3y-16x strategic 1 ERROR add -50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:09:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y-55-16x = -44-3y-16x strategic 2 ERROR divide -50 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:09:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y-55 = -44-3y strategic 2 OK add 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:10:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12y-55 = -44 strategic 1 OK add 55 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:10:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 12y = 11 strategic 1 OK divide 12 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:10:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y+(-9) = 2+(-3y) strategic 2 OK answer-check 11/12 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:11:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+5x = -6+1x strategic 1 OK add 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:11:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5x = -2+x strategic 1 OK subtract x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:11:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 4x = -2 strategic 1 OK divide 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:11:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+5x = -6+1x strategic 2 OK answer-check -1/2 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y+10 = -8+(-4y) strategic 1 ERROR subtract 30 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y-20 = -38-4y strategic 1 ERROR subtract 12x condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y-20-12x = -38-4y-12x strategic 1 ERROR clt 5y-20-12x = -38-4y-12x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y-20-12x = -38-4y-12x strategic 2 ERROR clt 5y-20-12x = -38-4y-12x strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y+10 = -8+(-4y) strategic 2 OK add 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y+10 = -8 strategic 1 OK subtract 10 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:12:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 9y = -18 strategic 1 OK divide 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 5y+10 = -8+(-4y) strategic 3 OK answer-check -2 condition 3 Consolidate variarbles, integers<10. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-7) = -3+5y strategic 1 OK add 7 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-7)+7 = -3+5y+7 left 1 OK left -1y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = -3+5y+7 right 1 OK right 4+5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y = 4+5y strategic 1 OK subtract 5y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y-5y = 4+5y-5y left 1 OK left -6y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:13:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 4+5y-5y right 1 OK right 4 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:14:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y = 4 strategic 1 OK divide -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:14:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6y/-6 = 4/-6 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:14:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 4/-6 right 1 OK right -0.666666666666666 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:14:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1y+(-7) = -3+5y strategic 2 OK answer-check -0.66666 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:15:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 1 OK add 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:15:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+7y = 3+(-7y)+7y left 1 OK left -6+[-11y] condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:15:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-11y) = 3+(-7y)+7y right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:15:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-11y) = 3 strategic 1 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-11y)+6 = 3+6 left 1 OK left -11y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11y = 3+6 right 1 OK right 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11y = 9 strategic 1 OK divide -11 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -11y/-11 = 9/-11 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 9/-11 right 1 OK right -0.81818181 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 2 ERROR answer-check -0.818181818181 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:16:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 3 ERROR answer-check -0.8182 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:17:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 4 OK add 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+4y = 3+(-7y)+4y right 1 OK right -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 5 OK add 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+4y = 3+(-7y)+4y right 2 OK right 3y+3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+4y = 3y+3 left 1 OK left -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6 = 3y+3 strategic 1 OK subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-3 = 3y+3-3 left 1 OK left 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6 = 3y+3 strategic 2 OK subtract 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-3 = 3y+3-3 left 2 OK left -9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:18:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9 = 3y+3-3 right 1 OK right 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9 = 3y strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9/3 = 3y/3 left 1 OK left -27 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9 = 3y strategic 2 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -9/3 = 3y/3 left 2 OK left -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3 = 3y/3 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:19:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 6 OK add 6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+6 = 3+(-7y)+6 right 1 OK right 9+[-7y] condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y)+6 = 9+(-7y) left 1 OK left -4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y = 9+(-7y) strategic 1 OK add 7y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -4y+7y = 9+(-7y)+7y left 1 OK left 3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = 9+(-7y)+7y right 1 OK right 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:20:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y = 9 strategic 1 OK divide 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:21:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 3y/3 = 9/3 left 1 OK left y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:21:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 y = 9/3 right 1 OK right 3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:22:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 7 OK rds -6+(-4y) = 3+(-7y) strategic condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:22:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-4y = 3-7y strategic 1 OK add 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:22:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-4y+4y = 3-7y+4y left 1 OK left -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:22:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6 = 3-7y+4y right 1 OK right 3-11y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-4y = 3-7y strategic 2 OK add 4y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6-4y+4y = 3-7y+4y left 2 OK left -6 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6 = 3-7y+4y right 2 OK right 3--3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6 = 3-(-3y) strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 3 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:29.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+3 = 3-(-3y)+3 left 1 OK left -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3 = 3-(-3y)+3 right 1 OK right -3y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3 = -3y strategic 1 OK divide -3 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -3/-3 = -3y/-3 left 1 OK left 1 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 1 = -3y/-3 right 1 OK right y condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:23:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 8 ERROR answer-check 1 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I yYUfIIB session2 2007-04-27 13:24:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -6+(-4y) = 3+(-7y) strategic 9 OK answer-check 3 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. wilkinsburghs-15221 248v318ejl--6--Alg I yfcN0ek session73 2007-04-20 09:53:13.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:53:26.0 CYCLE CYCLE ES_05 ES_05-1 EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:53:42.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9155y+5123 = -3840 strategic 1 OK subtract 5123 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:53:50.0 CYCLE CYCLE ES_05 ES_05-1 EG43A 9155y = -8963 strategic 1 OK divide 9155 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:54:08.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -2.59 = -12.09x+(-0.4) strategic 1 OK subtract -0.4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:54:18.0 CYCLE CYCLE ES_05 ES_05-1 EG42A -2.19 = -12.09x strategic 1 OK divide -12.09 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:54:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -8.15 = -5.86y+(-1.28) strategic 1 OK subtract -1.28 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:54:48.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -8.15-(-1.28) = -5.86y+(-1.28)-(-1.28) right 1 BUG right -5.86 You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:54:54.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -8.15-(-1.28) = -5.86y+(-1.28)-(-1.28) right 2 OK right -5.86y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:55:27.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -8.15-(-1.28) = -5.86y left 1 OK left -6.87 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:55:40.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.87 = -5.86y strategic 1 OK divide -5.86 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:55:44.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.87/-5.86 = -5.86y/-5.86 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:56:03.0 CYCLE CYCLE ES_05 ES_05-2 EG42A -6.87/-5.86 = y left 1 OK left 1.1723 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:56:32.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -3447+(-2090x) = 822 strategic 1 OK subtract -3447 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:56:45.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -3447+(-2090x)-(-3447) = 822-(-3447) left 1 OK left -2090x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:57:06.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2090x = 822-(-3447) right 1 OK right 4269 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:57:15.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2090x = 4269 strategic 1 BUG divide 2090 In this equation, x is multiplied by -2090. Dividing by 2090 leaves -x, so you still need to remove the negative sign. It is better to divide by -2090, since that would leave x. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:57:33.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2090x = 4269 strategic 2 OK divide -2090 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:57:37.0 CYCLE CYCLE ES_05 ES_05-2 EG43A -2090x/-2090 = 4269/-2090 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:57:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43A x = 4269/-2090 right 1 OK right -2.042 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:13.0 CYCLE CYCLE ES_05 ES_05-2 EG43 32 = -91x+84 strategic 1 OK subtract 84 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:18.0 CYCLE CYCLE ES_05 ES_05-2 EG43 32-84 = -91x+84-84 right 1 OK right -91x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:31.0 CYCLE CYCLE ES_05 ES_05-2 EG43 32-84 = -91x left 1 OK left -52 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:35.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -52 = -91x strategic 1 OK divide -91 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:38.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -52/-91 = -91x/-91 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:58:53.0 CYCLE CYCLE ES_05 ES_05-2 EG43 -52/-91 = x left 1 OK left 0.571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:59:08.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.77 = -10.86+9y strategic 1 OK subtract -10.86 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:59:16.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.77-(-10.86) = -10.86+9y-(-10.86) right 1 OK right 9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:59:38.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 0.77-(-10.86) = 9y left 1 OK left 11.63 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:59:42.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 11.63 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 09:59:46.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 11.63/9 = 9y/9 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:00:02.0 CYCLE CYCLE ES_05 ES_05-2 EG42C 11.63/9 = y left 1 OK left 1.2922222222222222222222222222 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:00:27.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -78 = -164/x+347 strategic 1 OK subtract 347 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:00:38.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 1 ERROR divide -164 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:00:55.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 2 BUG multiply -164 To remove -164/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -164/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:11.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 3 ERROR mt -425 = -164/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:15.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 4 ERROR mt -425 = -164/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:19.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 5 ERROR rf -425 = -164/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:22.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 6 ERROR distribute -425 = -164/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:25.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 7 ERROR rds -425 = -164/x strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:51.0 HINT HINT ES_05 ES_05-3 EG59A -425 = -164/x strategic 8 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:53.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 1 HINT_LEVEL_CHANGE -164/x is -164 divided by x. How do you undo division? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:01:57.0 HINT HINT ES_05 ES_05-3 EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:02:18.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -425 = -164/x strategic 9 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:02:41.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 425x = 164 strategic 1 OK divide 425 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:02:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -34 = -43/y+(-21) strategic 1 OK subtract -21 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:07.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -13 = -43/y strategic 1 ERROR multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:14.0 CYCLE CYCLE ES_05 ES_05-3 EG59 13y = 43 strategic 1 OK divide 13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:29.0 CYCLE CYCLE ES_05 ES_05-3 EG59 -14 = -74+6/y strategic 1 OK subtract -74 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59 60 = 6/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:40.0 CYCLE CYCLE ES_05 ES_05-3 EG59 60y = 6 strategic 1 OK divide 60 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:03:58.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -450 = -512+(-921/y) strategic 1 OK subtract -512 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:04:09.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 62 = -921/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:04:16.0 CYCLE CYCLE ES_05 ES_05-3 EG59A 62y = -921 strategic 1 OK divide 62 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:04:28.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -94 = 743+(-715/y) strategic 1 OK subtract 743 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:04:34.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -837 = -715/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:04:43.0 CYCLE CYCLE ES_05 ES_05-3 EG59A -837y = -715 strategic 1 OK divide -837 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:02.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/y+256 = 799 strategic 1 OK subtract 256 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/y+256-256 = 799-256 left 1 OK left -154/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:30.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/y = 799-256 right 1 OK right 543 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:37.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/y = 543 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:45.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/y*y = 543y left 1 OK left -154 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:05:52.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154 = 543y right 1 OK right 543y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:00.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154 = 543y strategic 1 OK divide 543 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:03.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/543 = 543y/543 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/543 = y left 1 BUG left 0.283 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59A -154/543 = y left 2 OK left -0.283 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:43.0 CYCLE CYCLE ES_05 ES_05-4 EG59 13 = 58/y+18 strategic 1 OK subtract 18 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:49.0 CYCLE CYCLE ES_05 ES_05-4 EG59 13-18 = 58/y+18-18 right 1 OK right 58/y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:06:57.0 CYCLE CYCLE ES_05 ES_05-4 EG59 13-18 = 58/y left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5 = 58/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:15.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 58/y*y right 1 OK right 58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 58 left 1 BUG left -5 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 58 left 2 OK left -5y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:31.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y = 58 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:34.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -5y/-5 = 58/-5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:07:50.0 CYCLE CYCLE ES_05 ES_05-4 EG59 y = 58/-5 right 1 OK right -11.6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:08:07.0 CYCLE CYCLE ES_05 ES_05-4 EG59 5 = -6/x+(-41) strategic 1 OK subtract -41 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:08:16.0 CYCLE CYCLE ES_05 ES_05-4 EG59 5-(-41) = -6/x+(-41)-(-41) right 1 OK right -6/x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:08:35.0 CYCLE CYCLE ES_05 ES_05-4 EG59 5-(-41) = -6/x left 1 OK left 46 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:08:42.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46 = -6/x strategic 1 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:08:48.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46*(-x) = -6/x*(-x) right 1 OK right 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:09:01.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46*(-x) = 6 left 1 BUG left 46x You are multiplying a positive by a negative. The result should be negative. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:09:11.0 CYCLE CYCLE ES_05 ES_05-4 EG59 46*(-x) = 6 left 2 OK left -46x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:09:19.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -46x = 6 strategic 1 OK divide -46 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:09:25.0 CYCLE CYCLE ES_05 ES_05-4 EG59 -46x/-46 = 6/-46 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:09:47.0 CYCLE CYCLE ES_05 ES_05-4 EG59 x = 6/-46 right 1 OK right -0.1304 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:02.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8+5x = -1+(-6x) strategic 1 OK subtract -1 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:10.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 1 ERROR subtract -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:19.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 2 ERROR clt -7+5x = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:36.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 3 BUG divide 5 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 4 ERROR distribute -7+5x = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:10:59.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 5 ERROR rds -7+5x = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 6 ERROR mt -7+5x = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:09.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 7 ERROR clt -7+5x = -6x strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 8 ERROR subtract -7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:46.0 HINT HINT ES_05 ES_05-5 EG60 -7+5x = -6x strategic 9 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:47.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:11:52.0 HINT HINT ES_05 ES_05-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 5x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:04.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7+5x = -6x strategic 10 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7 = -11x strategic 1 OK divide -11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y+(-6) = -5y+(-9) strategic 1 ERROR distribute -7y+(-6) = -5y+(-9) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:26.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y+(-6) = -5y+(-9) strategic 2 OK rds -7y+(-6) = -5y+(-9) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:40.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -7y-6 = -5y-9 strategic 1 OK subtract -7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:12:56.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = 2y-9 strategic 1 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:13:21.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = 2y-9 strategic 2 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:13:28.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 2y strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:13:38.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6+(-2y) = -10y+(-8) strategic 1 OK rds -6+(-2y) = -10y+(-8) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:13:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-2y = -10y-8 strategic 1 ERROR add -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:13:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8-2y = -10y-10 strategic 1 ERROR add -2 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:14:08.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-2y = -10y-8 strategic 2 BUG add -6 To remove -6 from the left side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:14:25.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6-2y = -10y-8 strategic 3 OK add 2y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:14:37.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -6 = -8y-8 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:14:43.0 CYCLE CYCLE ES_05 ES_05-5 EG60 2 = -8y strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:14:52.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y+(-8) = -2y+(-7) strategic 1 OK rds -8y+(-8) = -2y+(-7) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:01.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y-8 = -2y-7 strategic 1 ERROR add -8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8y-8 = -2y-7 strategic 2 OK add 8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -8 = 6y-7 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:34.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -1 = 6y strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:45.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+(-7x) = -5x+7 strategic 1 OK rds 3+(-7x) = -5x+7 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:15:57.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3-7x = -5x+7 strategic 1 OK add 7x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:16:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 2x+7 strategic 1 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:16:16.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4 = 2x strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:16:32.0 CYCLE CYCLE ES_05 ES_05-5 EG60 5+2x = 2+7x strategic 1 OK subtract 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:16:42.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+2x = 7x strategic 1 ERROR subtract 3 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:16:53.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+2x = 7x strategic 2 BUG subtract -3 To remove 3 from the both side, you can subtract a positive from it. Erase your last step and subtract 3 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:11.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3+2x = 7x strategic 3 OK subtract 2x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:17.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = 5x strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:29.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+5x = -7x+(-6) strategic 1 OK rds 8+5x = -7x+(-6) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:39.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8+5x = -7x-6 strategic 1 OK subtract 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:49.0 CYCLE CYCLE ES_05 ES_05-5 EG60 8 = -12x-6 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:17:55.0 CYCLE CYCLE ES_05 ES_05-5 EG60 14 = -12x strategic 1 OK divide -12 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:18:05.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+4x = -9x+(-7) strategic 1 OK rds -4+4x = -9x+(-7) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:18:13.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4+4x = -9x-7 strategic 1 OK subtract 4x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:18:22.0 CYCLE CYCLE ES_05 ES_05-5 EG60 -4 = -13x-7 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:18:27.0 CYCLE CYCLE ES_05 ES_05-5 EG60 3 = -13x strategic 1 OK divide -13 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:19:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+6 = 5+7y strategic 1 OK subtract -10y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:19:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+6-(-10y) = 5+7y-(-10y) left 1 OK left 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:19:57.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = 5+7y-(-10y) right 1 ERROR right 2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:20:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 6 = 5+7y-(-10y) right 2 ERROR right -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:20:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+6 = 5+7y strategic 2 OK subtract 6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:20:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y+6-6 = 5+7y-6 left 1 OK left -10y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:20:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 5+7y-6 right 1 ERROR right 0 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:21:26.0 HINT HINT ES_05 ES_05-6 EG60 -10y = 5+7y-6 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:21:27.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 5+7y-6 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:21:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 5+7y-6 right 2 OK right 5+7y-6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:21:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 5+7y-6 strategic 2 BUG subtract 5 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:21:59.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 5+7y-6 strategic 3 OK clt 5+7y-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms2R1 strategic 1 OK -6 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK 5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:24.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 ERROR -11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 2 ERROR 11 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 3 OK -1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:22:51.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 7y+-1 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:23:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 1 BUG add -1 To remove -1 from the right side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:23:18.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 2 ERROR add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:23:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 3 ERROR clt -10y = 7y-1 strategic condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:24:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 4 ERROR add 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:24:09.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 5 ERROR add 7 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:24:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 6 ERROR subtract 1 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:24:44.0 HINT HINT ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:24:45.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 7y to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:25:08.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y = 7y-1 strategic 8 OK subtract 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:25:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-7y = 7y-1-7y right 1 OK right -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:25:38.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -10y-7y = -1 left 1 OK left -17y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:25:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -17y = -1 strategic 1 OK divide -17 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:25:48.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -17y/-17 = -1/-17 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:26:04.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y = -1/-17 right 1 OK right 0.0588 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:26:13.0 HINT HINT ES_05 ES_05-6 EG60 y = 0.05882353 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session73 2007-04-20 10:26:16.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:44:41.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y+4 = 5+(-8y) strategic 1 OK rds -8y+4 = 5+(-8y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:44:52.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y+4 = 5-8y strategic 1 OK subtract -8y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:44:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -8y+4-(-8y) = 5-8y-(-8y) left 1 OK left 4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:45:00.0 CYCLE CYCLE ES_05 ES_05-6 EG60 4 = 5-8y-(-8y) right 1 OK right 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:45:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+(-7y) = -8+4y strategic 1 OK rds 3+(-7y) = -8+4y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:45:46.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3-7y = -8+4y strategic 1 OK add 7y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:45:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3-7y+7y = -8+4y+7y left 1 OK left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:03.0 HINT HINT ES_05 ES_05-6 EG60 3 = -8+4y+7y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:05.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -8+4y+7y on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -8+4y+7y right 1 OK right -8+4y+7y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = -8+4y+7y strategic 2 OK clt -8+4y+7y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:26.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y1R1 strategic 1 OK +4y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 y2R1 strategic 1 OK +7y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 yR2 strategic 1 OK 11y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:44.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:49.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK 11y+-8 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:46:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3 = 11y-8 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:01.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+8 = 11y-8+8 right 1 OK right 11y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:05.0 CYCLE CYCLE ES_05 ES_05-6 EG60 3+8 = 11y left 1 OK left 11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11 = 11y strategic 1 OK divide 11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:14.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11/11 = 11y/11 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:16.0 CYCLE CYCLE ES_05 ES_05-6 EG60 11/11 = y left 1 OK left 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:30.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9+(-10x) = -4+(-5x) strategic 1 OK rds -9+(-10x) = -4+(-5x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x = -4-5x strategic 1 ERROR add -10x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:50.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x = -4-5x strategic 2 BUG add -9 To remove -9 from the left side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:56.0 HINT HINT ES_05 ES_05-6 EG60 -9-10x = -4-5x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:47:57.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:00.0 HINT HINT ES_05 ES_05-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 5x to both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:07.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x = -4-5x strategic 4 OK add 5x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x+5x = -4-5x+5x right 1 OK right -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x+5x = -4 left 1 OK left -9-10x+5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:27.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -9-10x+5x = -4 strategic 1 OK clt -9-10x+5x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:31.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 1 BUG  10x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:34.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x2R1 strategic 1 OK +5x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:35.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 2 BUG  10x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 3 BUG  10x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:39.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 1 BUG  9 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:42.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x1R1 strategic 4 OK -10x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:45.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant terms1R1 strategic 2 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:48:56.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 1 ERROR 5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:02.0 CYCLE CYCLE ES_05 ES_05-6 EG60 xR2 strategic 2 OK -5x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:06.0 CYCLE CYCLE ES_05 ES_05-6 EG60 constant termsR2 strategic 1 OK -9 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:11.0 CYCLE CYCLE ES_05 ES_05-6 EG60 FinalAnswer strategic 1 OK -5x+-9 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:19.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-9 = -4 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:23.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x-9+9 = -4+9 left 1 OK left -5x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:28.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -4+9 right 1 BUG right -5 The result should be positive. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:32.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = -4+9 right 2 OK right 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:37.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x = 5 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:40.0 CYCLE CYCLE ES_05 ES_05-6 EG60 -5x/-5 = 5/-5 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:49:43.0 CYCLE CYCLE ES_05 ES_05-6 EG60 x = 5/-5 right 1 OK right -1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:50:16.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.46y+4.97 = -7.8+3.62y strategic 1 OK subtract 4.97 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:50:25.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.46y = -12.77+3.62y strategic 1 ERROR subtract -12.77 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:50:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.46y = -12.77+3.62y strategic 2 OK subtract 3.62y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:50:46.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.84y = -12.77 strategic 1 OK divide 4.84 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:51:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.68+0.28x = 8.94x+(-1.25) strategic 1 OK rds 4.68+0.28x = 8.94x+(-1.25) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:51:31.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.68+0.28x = 8.94x-1.25 strategic 1 OK subtract 0.28x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:51:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.68 = 8.66x-1.25 strategic 1 OK add 1.25 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:51:50.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.93 = 8.66x strategic 1 OK divide 8.66 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:51:59.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.68+9.42x = -7.99+(-7.26x) strategic 1 OK rds 2.68+9.42x = -7.99+(-7.26x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:52:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.68+9.42x = -7.99-7.26x strategic 1 OK subtract 9.42x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:52:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.68 = -7.99-16.68x strategic 1 BUG add -7.99 To remove -7.99 from the right side, you can add a positive to it. Erase your last step and add 7.99 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:52:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 2.68 = -7.99-16.68x strategic 2 OK add 7.99 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:52:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 10.67 = -16.68x strategic 1 ERROR divide -16.88 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:52:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.632109 = 0.98815166x strategic 1 OK divide 0.9882 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x+3.25 = -1.2+(-7.32x) strategic 1 OK rds -0.6x+3.25 = -1.2+(-7.32x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x+3.25 = -1.2-7.32x strategic 1 ERROR subtract -0.6 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x+3.25 = -1.2-7.32x strategic 2 OK subtract 3.25 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:30.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x = -4.45-7.32x strategic 1 ERROR add 4.45 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x = -4.45-7.32x strategic 2 BUG add -4.45 To remove -4.45 from the right side, you can add a positive to it. Erase your last step and add 4.45 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:49.0 HINT HINT ES_05 ES_05-7 EG61 -0.6x = -4.45-7.32x strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:53:50.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 7.32x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:54:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.6x = -4.45-7.32x strategic 4 OK add 7.32x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:54:15.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.72x = -4.45 strategic 1 OK divide 6.72 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:54:44.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x+8.33 = 7.37+4.98x strategic 1 OK subtract 8.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:54:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 1 ERROR subtract 0.96 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:08.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 2 ERROR subtract 4.98 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:21.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 3 ERROR subtract -0.96 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:24.0 HINT HINT ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:25.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move 4.98x to the left side. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:29.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract 4.98x from both sides. HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 5 ERROR subtract 4.98 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:55:53.0 CYCLE CYCLE ES_05 ES_05-7 EG61 4.55x = -0.96+4.98x strategic 6 OK subtract 4.98x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:56:05.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.43x = -0.96 strategic 1 OK divide -0.43 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:56:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29x+(-6.89) = -3.96x+3.38 strategic 1 OK rds -3.29x+(-6.89) = -3.96x+3.38 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:56:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29x-6.89 = -3.96x+3.38 strategic 1 ERROR add -3.29 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:56:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29x-6.89 = -3.96x+3.38 strategic 2 OK add 6.89 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:03.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.29x = -3.96x+10.27 strategic 1 OK subtract -3.96x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.67x = 10.27 strategic 1 OK divide 0.67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:18.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.83+(-3.9y) = 7.22+7.06y strategic 1 OK rds -2.83+(-3.9y) = 7.22+7.06y strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:29.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.83-3.9y = 7.22+7.06y strategic 1 BUG add -2.83 To remove -2.83 from the left side, you can add a positive to it. Erase your last step and add 2.83 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:45.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.83-3.9y = 7.22+7.06y strategic 2 OK subtract 7.22 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:57:55.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.05-3.9y = 7.06y strategic 1 OK add 3.9y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:58:04.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -10.05 = 10.96y strategic 1 OK divide 10.96 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:58:14.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.76y+0.08 = 4.29+(-4.5y) strategic 1 OK rds -2.76y+0.08 = 4.29+(-4.5y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:58:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.76y+0.08 = 4.29-4.5y strategic 1 OK subtract 0.08 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:58:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -2.76y = 4.21-4.5y strategic 1 OK add 4.5y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:58:42.0 CYCLE CYCLE ES_05 ES_05-7 EG61 1.74y = 4.21 strategic 1 OK divide 1.74 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:59:01.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.59x+9.56 = -3.52x+0.74 strategic 1 OK subtract 9.56 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:59:12.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.59x = -3.52x-8.82 strategic 1 ERROR add -3.52x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:59:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 8.59x = -3.52x-8.82 strategic 2 OK add 3.52x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:59:43.0 CYCLE CYCLE ES_05 ES_05-7 EG61 12.11x = -8.82 strategic 1 BUG divide 12.11x Dividing anything by itself will leave 1. If you divide 12.11x by 12.11, x will be left. Erase your last step and then divide by 12.11. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session74 2007-04-20 10:59:52.0 CYCLE CYCLE ES_05 ES_05-7 EG61 12.11x = -8.82 strategic 2 OK divide 12.11 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:37:57.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01+(-0.85y) = 1.89+(-2.19y) strategic 1 OK rds -4.01+(-0.85y) = 1.89+(-2.19y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:38:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01-0.85y = 1.89-2.19y strategic 1 BUG add -4.01 To remove -4.01 from the left side, you can add a positive to it. Erase your last step and add 4.01 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:38:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01-0.85y = 1.89-2.19y strategic 2 ERROR add 0.85 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:38:51.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01-0.85y = 1.89-2.19y strategic 3 OK add 0.85y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:10.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 1 ERROR subtract 1.34y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:23.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 2 ERROR add 1.34 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 3 ERROR add .89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:48.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 4 BUG add 1.89 Since 1.89 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 1.89 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:53.0 HINT HINT ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:54.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 1 HINT_LEVEL_CHANGE 1.89 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1.89 (make it zero)? HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:39:57.0 HINT HINT ES_05 ES_05-7 EG61 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1.89 from both sides of the equation to eliminate the constant value of 1.89 (1.89 - 1.89 = 0). HINT 3 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:40:13.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -4.01 = 1.89-1.34y strategic 6 OK subtract 1.89 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:40:22.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -5.9 = -1.34y strategic 1 OK divide -1.34 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:40:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.03+7.03y = 7.83y+1.01 strategic 1 OK subtract 7.03y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:41:06.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.03 = 0.8y+1.01 strategic 1 OK subtract 1.01 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:41:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -0.98 = 0.8y strategic 1 OK divide 0.8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:41:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.75x+(-5.84) = 0.13x+7.67 strategic 1 OK rds -9.75x+(-5.84) = 0.13x+7.67 strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:41:39.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.75x-5.84 = 0.13x+7.67 strategic 1 OK add 5.84 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:41:49.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.75x = 0.13x+13.51 strategic 1 ERROR subtract 13.51 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:07.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.75x = 0.13x+13.51 strategic 2 OK subtract 0.13x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:17.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -9.88x = 13.51 strategic 1 OK divide -9.88 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:26.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.28x+(-2.33) = 2.36+3.78x strategic 1 OK rds 0.28x+(-2.33) = 2.36+3.78x strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:35.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.28x-2.33 = 2.36+3.78x strategic 1 OK add 2.33 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:47.0 CYCLE CYCLE ES_05 ES_05-7 EG61 0.28x = 4.69+3.78x strategic 1 OK subtract 3.78x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:42:56.0 CYCLE CYCLE ES_05 ES_05-7 EG61 -3.5x = 4.69 strategic 1 OK divide -3.5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:43:09.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.94x+(-5.15) = -0.38x+(-1.19) strategic 1 OK rds 5.94x+(-5.15) = -0.38x+(-1.19) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:43:20.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.94x-5.15 = -0.38x-1.19 strategic 1 OK add 5.15 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:43:33.0 CYCLE CYCLE ES_05 ES_05-7 EG61 5.94x = -0.38x+3.96 strategic 1 OK subtract -0.38x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:43:40.0 CYCLE CYCLE ES_05 ES_05-7 EG61 6.32x = 3.96 strategic 1 OK divide 6.32 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:44:00.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y+(-5.8) = -2.37+(-3.93y) strategic 1 OK rds -8.38y+(-5.8) = -2.37+(-3.93y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:44:13.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y-5.8 = -2.37-3.93y strategic 1 OK add 5.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:44:24.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y-5.8+5.8 = -2.37-3.93y+5.8 left 1 OK left -8.38y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y = -2.37-3.93y+5.8 right 1 ERROR right -0.5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:09.0 HINT HINT ES_05 ES_05-8 EG61 -8.38y = -2.37-3.93y+5.8 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:10.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -2.37-3.93y+5.8 on the right. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:28.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y = -2.37-3.93y+5.8 right 2 OK right -2.37-3.93y+5.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:35.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y = -2.37-3.93y+5.8 strategic 2 OK clt -2.37-3.93y+5.8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 1 BUG  3.93y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y1R1 strategic 2 OK -3.93y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:46.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK -2.37 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:48.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +5.8 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:45:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 yR2 strategic 1 OK -3.93y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:46:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 3.43 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:46:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK -3.93y+3.43 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:46:44.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y = -3.93y+3.43 strategic 1 OK subtract -3.93y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:46:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y-(-3.93y) = -3.93y+3.43-(-3.93y) right 1 OK right 3.43 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:47:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -8.38y-(-3.93y) = 3.43 left 1 OK left -4.45y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:47:30.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.45y = 3.43 strategic 1 OK divide -4.45 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:47:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -4.45y/-4.45 = 3.43/-4.45 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:48:23.0 CYCLE CYCLE ES_05 ES_05-8 EG61 y = 3.43/-4.45 right 1 OK right -0.7707 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.35x+8.95 = 6.58+3.66x strategic 1 OK subtract 7.35x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:14.0 CYCLE CYCLE ES_05 ES_05-8 EG61 7.35x+8.95-7.35x = 6.58+3.66x-7.35x left 1 OK left 8.95 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:33.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95 = 6.58+3.66x-7.35x right 1 OK right 6.58+3.66x-7.35x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95 = 6.58+3.66x-7.35x strategic 1 OK clt 6.58+3.66x-7.35x condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:39.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK +3.66x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:41.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 1 BUG  7.35x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x2R1 strategic 2 OK -7.35x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:49:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 OK 6.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:16.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK -3.69x condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:20.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 6.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 ERROR -3.69+6.58 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:34.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 2 ERROR -3.69xd+6.58 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 3 OK -3.69x+6.58 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:50:58.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95 = -3.69x+6.58 strategic 1 OK subtract -3.69x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:51:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95-(-3.69x) = -3.69x+6.58-(-3.69x) right 1 OK right 6.58 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:51:40.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95-(-3.69x) = 6.58 left 1 ERROR left 12.64x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:51:46.0 HINT HINT ES_05 ES_05-8 EG61 8.95-(-3.69x) = 6.58 strategic 1 INITIAL_HINT condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:51:48.0 HINT HINT ES_05 ES_05-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in 8.95-(-3.69x) on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:52:15.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95-(-3.69x) = 6.58 left 2 OK left 8.95-(-3.69x) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:52:29.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95+3.69x = 6.58 strategic 1 OK subtract 8.95 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:52:38.0 CYCLE CYCLE ES_05 ES_05-8 EG61 8.95+3.69x-8.95 = 6.58-8.95 left 1 OK left 3.69x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:53:08.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.69x = 6.58-8.95 right 1 OK right -2.37 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:53:17.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.69x = -2.37 strategic 1 OK divide 3.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:53:22.0 CYCLE CYCLE ES_05 ES_05-8 EG61 3.69x/3.69 = -2.37/3.69 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:53:37.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = -2.37/3.69 right 1 OK right -0.642 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:53:59.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.32+5.7x = 7.5+1.44x strategic 1 OK subtract -7.32 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:54:06.0 CYCLE CYCLE ES_05 ES_05-8 EG61 -7.32+5.7x-(-7.32) = 7.5+1.44x-(-7.32) left 1 OK left 5.7x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:54:47.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x = 7.5+1.44x-(-7.32) right 1 OK right 7.5+1.44x-(-7.32) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:54:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x = 7.5+1.44x+7.32 strategic 1 OK clt 7.5+1.44x+7.32 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:54:54.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x1R1 strategic 1 OK +1.44x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:54:57.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 1 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:03.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms1R1 strategic 2 OK 7.5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:05.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant terms2R1 strategic 1 OK +7.32 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 xR2 strategic 1 OK 1.44x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:32.0 CYCLE CYCLE ES_05 ES_05-8 EG61 constant termsR2 strategic 1 OK 14.82 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:43.0 CYCLE CYCLE ES_05 ES_05-8 EG61 FinalAnswer strategic 1 OK 1.44x+14.82 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x = 1.44x+14.82 strategic 1 ERROR subtract 14.82 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:55:56.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x-14.82 = 1.44x+14.82-14.82 right 1 OK right 1.44x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:56:25.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x-14.82 = 1.44x left 1 ERROR left -9.12 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:56:45.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x = 1.44x+14.82 strategic 2 OK subtract 1.44x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:56:51.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x-1.44x = 1.44x+14.82-1.44x right 1 OK right 14.82 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:57:11.0 CYCLE CYCLE ES_05 ES_05-8 EG61 5.7x-1.44x = 14.82 left 1 OK left 4.26x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:57:18.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.26x = 14.82 strategic 1 OK divide 4.26 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:57:21.0 CYCLE CYCLE ES_05 ES_05-8 EG61 4.26x/4.26 = 14.82/4.26 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:57:52.0 CYCLE CYCLE ES_05 ES_05-8 EG61 x = 14.82/4.26 right 1 OK right 3.4788 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:58:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.74y+(-89.2) = -5.52+(-70.41y) strategic 1 OK rds -42.74y+(-89.2) = -5.52+(-70.41y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:58:21.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.74y-89.2 = -5.52-70.41y strategic 1 ERROR add -42.74y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:58:29.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.74y-89.2 = -5.52-70.41y strategic 2 OK add 89.2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:58:49.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -42.74y = 83.68-70.41y strategic 1 OK add 70.41y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:58:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62 27.67y = 83.68 strategic 1 ERROR divide 27 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:59:17.0 CYCLE CYCLE ES_05 ES_05-9 EG62 27.67y = 83.68 strategic 2 OK divide 27.67 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 09:59:42.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 401.25y+4395.84 = 433.94y+1573.95 strategic 1 OK subtract 4395.84 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:00:10.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 401.25y = 433.94y-2821.89 strategic 1 ERROR add 433.94y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:00:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 401.25y = 433.94y-2821.89 strategic 2 OK subtract 433.94y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:00:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -32.69y = -2821.89 strategic 1 OK divide -32.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:01:02.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 724.97+80.44y = 262.13y+3230.66 strategic 1 OK subtract 724.97 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:01:24.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 80.44y = 262.13y+2505.69 strategic 1 OK subtract 262.13y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:01:36.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -181.69y = 2505.69 strategic 1 OK divide -181.69 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:02:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -46.98+26.87x = -63.25+42.64x strategic 1 OK subtract -46.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:02:30.0 CYCLE CYCLE ES_05 ES_05-9 EG62 26.87x = -16.27+42.64x strategic 1 ERROR subtract 42.64 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:02:50.0 CYCLE CYCLE ES_05 ES_05-9 EG62 26.87x = -16.27+42.64x strategic 2 OK subtract 42.64x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:02:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -15.77x = -16.27 strategic 1 OK divide -15.77 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:03:12.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 489.38+247.21x = 418.14x+(-2928.02) strategic 1 OK rds 489.38+247.21x = 418.14x+(-2928.02) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:03:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 489.38+247.21x = 418.14x-2928.02 strategic 1 OK subtract 489.38 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:03:52.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 247.21x = 418.14x-3417.4 strategic 1 OK subtract 418.14x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62A -170.93x = -3417.4 strategic 1 OK divide -170.93 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:11.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -34.54x+(-37.23) = 87.19x+(-36.21) strategic 1 OK rds -34.54x+(-37.23) = 87.19x+(-36.21) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:22.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -34.54x-37.23 = 87.19x-36.21 strategic 1 BUG subtract 37.23 Since -37.23 is negative, you should add to remove it from the both side. Erase your last step and add 37.23 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -34.54x-37.23 = 87.19x-36.21 strategic 2 OK add 37.23 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:40.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -34.54x = 87.19x+1.02 strategic 1 ERROR subtract 87.19 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:04:51.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -34.54x = 87.19x+1.02 strategic 2 OK subtract 87.19x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:05:00.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -121.73x = 1.02 strategic 1 OK divide -121.73 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:05:13.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4896.12+(-239.9x) = -2055.18+(-215.07x) strategic 1 OK rds 4896.12+(-239.9x) = -2055.18+(-215.07x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:05:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4896.12-239.9x = -2055.18-215.07x strategic 1 BUG add 4896.12 Since 4896.12 is positive, you should subtract to remove it from the both side. Erase your last step and subtract 4896.12 from both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:05:59.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4896.12-239.9x = -2055.18-215.07x strategic 2 OK add 239.9x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:06:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 4896.12 = -2055.18+24.83x strategic 1 OK subtract -2055.18 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:06:35.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 6951.3 = 24.83x strategic 1 OK divide 24.83 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:06:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -52.31+(-82.77x) = -58.24+(-84.14x) strategic 1 OK rds -52.31+(-82.77x) = -58.24+(-84.14x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:07:06.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -52.31-82.77x = -58.24-84.14x strategic 1 OK add 82.77x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:07:26.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -52.31 = -58.24-1.37x strategic 1 BUG add -58.24 To remove -58.24 from the right side, you can add a positive to it. Erase your last step and add 58.24 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:07:38.0 CYCLE CYCLE ES_05 ES_05-9 EG62 -52.31 = -58.24-1.37x strategic 2 OK subtract -58.24 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:07:45.0 CYCLE CYCLE ES_05 ES_05-9 EG62 5.93 = -1.37x strategic 1 OK divide -1.37 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:08:02.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 1572.3+246.74x = -5252.7+152.68x strategic 1 OK subtract 246.74x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:08:20.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 1572.3 = -5252.7-94.06x strategic 1 OK subtract -5252.70 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:08:31.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 6825 = -94.06x strategic 1 OK divide -94.06 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:08:46.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 6783.94+89.02y = -879.57y+911.29 strategic 1 OK subtract 89.02y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:08:57.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 6783.94 = -968.59y+911.29 strategic 1 OK subtract 911.29 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:09:11.0 CYCLE CYCLE ES_05 ES_05-9 EG62A 5872.65 = -968.59y strategic 1 OK divide -968.59 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:09:20.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+(-67.93y) = -19.07+(-77.92y) strategic 1 OK rds -38.32+(-67.93y) = -19.07+(-77.92y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:09:42.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32-67.93y = -19.07-77.92y strategic 1 OK add 67.93y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:09:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32-67.93y+67.93y = -19.07-77.92y+67.93y left 1 OK left -38.32 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32 = -19.07-77.92y+67.93y right 1 OK right -19.07-77.92y+67.93y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32 = -19.07-77.92y+67.93y strategic 1 OK clt -19.07-77.92y+67.93y condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y2R1 strategic 1 OK +67.93y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 1 BUG  77.92y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 y1R1 strategic 2 OK -77.92y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:10:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant terms1R1 strategic 1 OK -19.07 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:11:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 yR2 strategic 1 OK -9.99y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:11:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62 constant termsR2 strategic 1 OK -19.07 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:11:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 1 OK -9.99y+-19.07 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:11:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32 = -9.99y-19.07 strategic 1 BUG subtract 19.07 Since -19.07 is negative, you should add to remove it from the right side. Erase your last step and add 19.07 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:12:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32 = -9.99y-19.07 strategic 2 OK add 19.07 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:12:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y-19.07+19.07 right 1 OK right -9.99y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:12:54.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y left 1 ERROR left 57.39 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:13:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y left 2 BUG left -57.39 -57.39 is equal to -38.32 minus 19.07. You need to calculate -38.32 plus 19.07. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:13:50.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y left 3 ERROR left -57.57 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:13:59.0 HINT HINT ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:14:01.0 HINT HINT ES_05 ES_05-10 EG62 null strategic 1 HINT_LEVEL_CHANGE Type in -38.32+19.07 on the left. HINT 2 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:14:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y left 4 OK left -38.32+19.07 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:14:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y strategic 2 BUG subtract 19.07 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:14:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -38.32+19.07 = -9.99y strategic 3 OK clt -38.32+19.07 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:15:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62 FinalAnswer strategic 2 OK -19.25 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:15:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.25 = -9.99y strategic 1 OK divide -9.99 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:15:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.25/-9.99 = -9.99y/-9.99 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:15:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62 -19.25/-9.99 = y left 1 OK left 1.926 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:16:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x+(-9213.18) = 1164.73+(-681.72x) strategic 1 OK rds -411.64x+(-9213.18) = 1164.73+(-681.72x) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:16:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-9213.18 = 1164.73-681.72x strategic 1 ERROR add -411.64x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:17:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-9213.18 = 1164.73-681.72x strategic 2 OK add 9213.18 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:17:19.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-9213.18+9213.18 = 1164.73-681.72x+9213.18 left 1 OK left -411.64x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:17:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = 1164.73-681.72x+9213.18 right 1 ERROR right 1164.73-681.72x+9213.18x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = 1164.73-681.72x+9213.18 right 2 OK right 1164.73-681.72x+9213.18 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = 1164.73-681.72x+9213.18 strategic 1 OK clt 1164.73-681.72x+9213.18 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 BUG +9213.18 +9213.18
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9213.18, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 BUG +9213.18 +9213.18
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9213.18, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 3 BUG +9213.18 +9213.18
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9213.18, is not one of the x terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 4 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 5 OK -681.72x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +9213.18 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:27.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK 1164.73 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:39.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 ERROR 681.72x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:18:43.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 2 OK -681.72x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:19:29.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 10377.91 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:19:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -681.72x+10377.91 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:20:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = -681.72x+10377.91 strategic 1 OK subtract -681.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:20:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-(-681.72x) = -681.72x+10377.91-(-681.72x) right 1 OK right 10377.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:21:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-(-681.72x) = 10377.91 left 1 OK left -411.64x-(-681.72x) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:21:34.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = -681.72x+10377.91 strategic 2 ERROR subtract 10377.91 condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:21:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x = -681.72x+10377.91 strategic 3 OK subtract -681.72x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:22:01.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-(-681.72x) = -681.72x+10377.91-(-681.72x) right 2 OK right 10377.91 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:22:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-(-681.72x) = 10377.91 left 2 BUG left 1093.36x 1093.36x is equal to 411.64x minus -681.72x. You need to calculate -411.64x minus -681.72x. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:23:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -411.64x-(-681.72x) = 10377.91 left 3 OK left 270.08x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:23:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 270.08x = 10377.91 strategic 1 OK divide 270.08 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:23:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 270.08x/270.08 = 10377.91/270.08 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:24:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x = 10377.91/270.08 right 1 OK right 38.425 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:24:32.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 5912.98+28.59y = -2657.46+22.52y strategic 1 OK subtract 5912.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:24:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 5912.98+28.59y-5912.98 = -2657.46+22.52y-5912.98 left 1 OK left 28.59y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y = -2657.46+22.52y-5912.98 right 1 OK right -2657.46+22.52y-5912.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y = -2657.46+22.52y-5912.98 strategic 1 OK clt -2657.46+22.52y-5912.98 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 OK +22.52y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 BUG  5912.98  5912.98
Like terms look similar, such as all constants or x^2 terms. The term you dragged,  5912.98, is not one of the constant terms. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK -5912.98 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:22.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 2 BUG  2657.46 Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 3 OK -2657.46 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:25:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK 22.52y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:26:09.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK -8570.44 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:26:13.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 ERROR 22.52y condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:26:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 2 OK 22.52y+-8570.44 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:26:33.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y = 22.52y-8570.44 strategic 1 OK subtract 22.52y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:27:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y-22.52y = 22.52y-8570.44-22.52y right 1 BUG right 8570.44 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:27:15.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y-22.52y = 22.52y-8570.44-22.52y right 2 OK right -8570.44 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:27:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 28.59y-22.52y = -8570.44 left 1 OK left 6.07y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:28:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 6.07y = -8570.44 strategic 1 OK divide 6.07 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:28:12.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 6.07y/6.07 = -8570.44/6.07 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:28:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = -8570.44/6.07 right 1 BUG right 1411.934 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:28:45.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = -8570.44/6.07 right 2 OK right -1411.934 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:43:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -4974.06+499.33y = 2315.17+(-268.05y) strategic 1 OK rds -4974.06+499.33y = 2315.17+(-268.05y) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:43:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -4974.06+499.33y = 2315.17-268.05y strategic 1 OK subtract -4974.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:43:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -4974.06+499.33y-(-4974.06) = 2315.17-268.05y-(-4974.06) left 1 OK left 499.33y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 499.33y = 2315.17-268.05y-(-4974.06) right 1 OK right 2315.17-268.05y-(-4974.06) condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 499.33y = 2315.17-268.05y+4974.06 strategic 1 OK clt 2315.17-268.05y+4974.06 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 1 BUG  268.05y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:25.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 2 BUG  268.05y Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:31.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y1R1 strategic 3 OK -268.05y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:36.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +4974.06 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK 2315.17 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:44:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A yR2 strategic 1 OK -268.05y condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:45:37.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 7289.23 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:46:00.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -268.05y+7289.23 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:46:16.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 499.33y = -268.05y+7289.23 strategic 1 OK subtract -268.05y condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:46:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 499.33y-(-268.05y) = -268.05y+7289.23-(-268.05y) right 1 OK right 7289.23 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:47:05.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 499.33y-(-268.05y) = 7289.23 left 1 OK left 767.38y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:47:21.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 767.38y = 7289.23 strategic 1 OK divide 767.38 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:47:24.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 767.38y/767.38 = 7289.23/767.38 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:47:52.0 CYCLE CYCLE ES_05 ES_05-10 EG62A y = 7289.23/767.38 right 1 OK right 9.4988 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:48:04.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5+(-838.42x) = 94.73x+(-6577.49) strategic 1 OK rds -3323.5+(-838.42x) = 94.73x+(-6577.49) strategic condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:48:18.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x = 94.73x-6577.49 strategic 1 BUG add -3323.5 To remove -3323.5 from the left side, you can add a positive to it. Erase your last step and add 3323.5 to both sides. BUG condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:48:41.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x = 94.73x-6577.49 strategic 2 OK add 6577.49 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:48:51.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x+6577.49 = 94.73x-6577.49+6577.49 right 1 ERROR right 94.73xz condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:48:55.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x+6577.49 = 94.73x-6577.49+6577.49 right 2 OK right 94.73x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:07.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x+6577.49 = 94.73x left 1 ERROR left 2415.57 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:35.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x+6577.49 = 94.73x left 2 OK left -3323.5-838.42x+6577.49 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:40.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -3323.5-838.42x+6577.49 = 94.73x strategic 1 OK clt -3323.5-838.42x+6577.49 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 1 BUG  838.42x Be sure to select both the term and the negative sign in front of it. BUG condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:48.0 CYCLE CYCLE ES_05 ES_05-10 EG62A x1R1 strategic 2 OK -838.42x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:56.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms2R1 strategic 1 OK +6577.49 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:50:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant terms1R1 strategic 1 OK -3323.5 condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:51:06.0 CYCLE CYCLE ES_05 ES_05-10 EG62A xR2 strategic 1 OK -838.42x condition 1 wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:51:44.0 CYCLE CYCLE ES_05 ES_05-10 EG62A constant termsR2 strategic 1 OK 3253.99 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:51:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A FinalAnswer strategic 1 OK -838.42x+3253.99 condition 1 combine-like-terms-sp wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:52:11.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -838.42x+3253.99 = 94.73x strategic 1 OK subtract -838.42x condition 1 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:52:26.0 CYCLE CYCLE ES_05 ES_05-10 EG62A -838.42x+3253.99-(-838.42x) = 94.73x-(-838.42x) left 1 OK left 3253.99 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:52:58.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3253.99 = 94.73x-(-838.42x) right 1 OK right 933.15x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:53:10.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3253.99 = 933.15x strategic 1 OK divide 933.15 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:53:14.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3253.99/933.15 = 933.15x/933.15 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 yfcN0ek session75 2007-04-23 10:53:38.0 CYCLE CYCLE ES_05 ES_05-10 EG62A 3253.99/933.15 = x left 1 OK left 3.4871 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248v318ejl--3rd--Algebra 1 z3GhRzh session0 2007-04-27 08:24:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:24:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:24:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -2.91+11.22x = -11.28 strategic 1 OK add 2.91 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:25:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A 11.22x = -8.37 strategic 1 OK divide 11.22 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:25:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -384y+9024 = -2189 strategic 1 OK subtract 9024 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:25:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A -384y = -11213 strategic 1 OK divide -384 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:26:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -78.9+(-67.21y) = -3.29 strategic 1 ERROR add 1.24 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:26:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -78.9+(-67.21y) = -3.29 strategic 2 OK add 78.9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:26:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -67.21y = 75.61 strategic 1 OK divide -67.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:26:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 7844 = 4877y+5269 strategic 1 OK subtract 5269 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:27:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 2575 = 4877y strategic 1 OK divide 4877 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:27:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -48 = -90y+(-2) strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 -46 = -90y strategic 1 OK divide -90 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:27:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 14.07+(-12.53y) = 2.25 strategic 1 OK subtract 14.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:28:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 14.07+(-12.53y)-14.07 = 2.25-14.07 left 1 OK left (-12.53y) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:28:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y = 2.25-14.07 right 1 ERROR right 6.253333 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:29:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y = 2.25-14.07 right 2 BUG right 11.82 You need to calculate 2.25 minus 14.07, not 14.07 minus 2.25. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:29:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y = 2.25-14.07 right 3 ERROR right 12.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y = 2.25-14.07 right 4 OK right -11.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:30:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y = -11.82 strategic 1 OK divide -12.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:30:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -12.53y/-12.53 = -11.82/-12.53 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:30:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 right 1 BUG right -11.82/12.53 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:30:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 right 2 OK right -11.82/-12.53 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 strategic 1 OK rf -11.82/-12.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 1 OK -11.82/-12.53 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 strategic 2 BUG rds y = -11.82/-12.53 strategic Simplify the fraction -11.82/-12.53. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 strategic 3 OK rf -11.82/-12.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 2 BUG -11.82/12.53 -11.82/12.53
Check the sign of your answer. BUG condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 3 OK 11.82/12.53 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:31:55.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B y = 11.82/12.53 strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:32:04.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:32:15.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 strategic 4 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:32:16.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:32:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -11.82/-12.53 strategic 5 OK rf -11.82/-12.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:32:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 4 BUG -11.82/12.53 -11.82/12.53
Check the sign of your answer. BUG condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:33:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 5 OK 11.82/12.53 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:34:03.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B y = 11.82/12.53 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:34:04.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:34:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = 11.82/12.53 strategic 3 OK rf 11.82/12.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:34:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 6 BUG -11.82/12.53 -11.82/12.53
Check the sign of your answer. BUG condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 7 OK 11.82/12.53 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:36:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = 11.82/12.53 strategic 4 OK rf 11.82/12.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:37:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 8 OK .94333599 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:37:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4772+3441y = 9841 strategic 1 OK subtract 4772 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:37:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 4772+3441y-4772 = 9841-4772 left 1 OK left 3441y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:37:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 3441y = 9841-4772 right 1 OK right 5069 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:38:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 3441y = 5069 strategic 1 OK divide 3441 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:38:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 3441y/3441 = 5069/3441 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = 5069/3441 right 1 OK right 1.4731182 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:38:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y+71.04 = 33.61 strategic 1 OK subtract 71.04 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:39:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y+71.04-71.04 = 33.61-71.04 left 1 BUG left 41.8 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:39:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y+71.04-71.04 = 33.61-71.04 left 2 OK left 41.8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:40:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y = 33.61-71.04 right 1 OK right -37.43 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:40:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y = -37.43 strategic 1 OK divide 41.8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:40:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 41.8y/41.8 = -37.43/41.8 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:40:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 y = -37.43/41.8 right 1 OK right -.895454543 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 37 = 7+(-69x) strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 37-7 = 7+(-69x)-7 left 1 OK left 30 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 30 = 7+(-69x)-7 right 1 OK right -69x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 30 = -69x strategic 1 OK divide -69 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 30/-69 = -69x/-69 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:41:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 30/-69 = x left 1 ERROR left -39 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:42:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 30/-69 = x left 2 OK left -.43478 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:42:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.22 = 2.19x+2.33 strategic 1 OK subtract 2.33 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:42:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.22-2.33 = 2.19x+2.33-2.33 right 1 OK right 2.19x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:43:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 10.22-2.33 = 2.19x left 1 OK left 7.89 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:43:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 7.89 = 2.19x strategic 1 OK divide 2.19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:43:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 7.89/2.19 = 2.19x/2.19 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 7.89/2.19 = x left 1 OK left 3.60273 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:43:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -884/x+488 = 861 strategic 1 OK subtract 488 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:44:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -884/x = 373 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:44:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -884 = 373x strategic 1 OK divide 373 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 26+(-85/y) = 89 strategic 1 OK subtract 26 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:44:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -85/y = 63 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:44:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -85 = 63y strategic 1 OK divide 63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 499/y+(-804) = -219 strategic 1 OK add 804 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 499/y = 585 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 499 = 585y strategic 1 OK divide 585 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 91+20/x = -37 strategic 1 OK subtract 91 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 20/x = -128 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 20 = -128x strategic 1 OK divide -128 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:45:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/x+911 = -437 strategic 1 OK subtract 911 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:46:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/x+911-911 = -437-911 left 1 OK left -812/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:46:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/x = -437-911 right 1 OK right -1348 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:46:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/x = -1348 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:46:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/x*x = -1348x left 1 OK left -812 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:46:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812 = -1348x right 1 OK right -1348x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:47:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812 = -1348x strategic 1 OK divide -1348 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:47:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/-1348 = -1348x/-1348 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:47:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/-1348 = x left 1 ERROR left -2160 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:48:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -812/-1348 = x left 2 OK left .60237 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:48:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19+(-74/y) = -58 strategic 1 OK add 19 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:48:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19+(-74/y)+19 = -58+19 left 1 ERROR left -74y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:48:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -19+(-74/y)+19 = -58+19 left 2 OK left -74/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:48:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74/y = -58+19 right 1 OK right -39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74/y = -39 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74/y*y = -39y left 1 OK left -74 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74 = -39y right 1 OK right -39y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74 = -39y strategic 1 OK divide -39 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74/-39 = -39y/-39 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -74/-39 = y left 1 OK left 1.89743 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:49:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -418 = -771/y+(-433) strategic 1 OK add 433 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -418+433 = -771/y+(-433)+433 right 1 OK right -771/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -418+433 = -771/y left 1 OK left 15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15 = -771/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y = -771/y*y left 1 BUG left 15 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y = -771/y*y left 2 ERROR left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y = -771/y*y left 3 OK left 15y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y = -771/y*y right 1 OK right -771 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y = -771 strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:50:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 15y/15 = -771/15 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:51:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -771/15 right 1 BUG right 51.4 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:51:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -771/15 right 2 OK right -51.4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:51:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -517 = -89/x+(-690) strategic 1 OK add 690 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:51:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -517+690 = -89/x+(-690)+690 right 1 OK right -89/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -517+690 = -89/x left 1 OK left 173 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 173 = -89/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 173x = -89/x*x left 1 OK left 173x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 173x = -89/x*x right 1 OK right -89 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 173x = -89 strategic 1 OK divide 173 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:52:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 173x/173 = -89/173 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = -89/173 right 1 ERROR right -51445 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = -89/173 right 2 OK right -.51445 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 576 = -64/y+471 strategic 1 OK subtract 471 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 576-471 = -64/y+471-471 right 1 OK right -64/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 576-471 = -64/y left 1 OK left 105 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105 = -64/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:53:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105y = -64/y*y left 1 OK left 105y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105y = -64/y*y right 1 OK right -64 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105y = -64 strategic 1 OK divide 105 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 105y/105 = -64/105 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -64/105 right 1 OK right -.60952 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 0+2y = 9y+(-9) strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:54:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 2y = 9y-9 strategic 1 ERROR divide -9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:55:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -2/9 = -(9y-9)/(9y) strategic 1 ERROR rf -2/9 = -(9y-9)/(9y) strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:55:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 2y = 9y-9 strategic 2 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:55:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -7y = -9 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:56:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+(-5y) = 1+(-4y) strategic 1 OK add 5 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:56:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y = 6-4y strategic 1 OK add 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:56:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -y = 6 strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:56:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y+3 = 2y+(-3) strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:56:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y = 2y-6 strategic 1 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:57:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y = -6 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:57:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3+(-2x) = -8+7x strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:57:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x = -11+7x strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:57:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -9x = -11 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:58:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+(-7x) = -5+(-5x) strategic 1 OK add 5 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:58:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+(-7x)+5 = -5+(-5x)+5 left 1 OK left 6+(-7x) condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:58:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-7x) = -5+(-5x)+5 right 1 OK right -5x condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-7x) = -5x strategic 1 OK add 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6+(-7x)+7x = -5x+7x left 1 OK left 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6 = -5x+7x right 1 BUG right -2x The result should be positive. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6 = -5x+7x right 2 OK right 2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6 = 2x strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6/2 = 2x/2 left 1 OK left 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3 = 2x/2 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 08:59:59.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 3 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:00:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:00:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-5y) = -7y+0 strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:00:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-5y)-0 = -7y+0-0 left 1 OK left -5+(-5y) condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:00:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-5y) = -7y+0-0 right 1 OK right -7y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-5y) = -7y strategic 1 OK add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-5y)+5y = -7y+5y left 1 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -7y+5y right 1 OK right -2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -2y strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5/-2 = -2y/-2 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5/-2 = y left 1 BUG left -2.5 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:01:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5/-2 = y left 2 OK left 2.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+(-8x) = 8x+0 strategic 1 OK subtract 0 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+(-8x)-0 = 8x+0-0 left 1 OK left -7+(-8x) condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+(-8x) = 8x+0-0 right 1 OK right 8x condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+(-8x) = 8x strategic 1 OK add 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7+(-8x)+8x = 8x+8x left 1 OK left -7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:02:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = 8x+8x right 1 OK right 16x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:03:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7 = 16x strategic 1 OK divide 16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:03:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7/16 = 16x/16 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:03:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7/16 = x left 1 OK left -.4375 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:04:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.04+9.91x = -1.93x+3.61 strategic 1 OK subtract 1.04 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:04:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 9.91x = -1.93x+2.57 strategic 1 OK add 1.93x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:04:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 11.84x = 2.57 strategic 1 OK divide 11.84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:04:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.31y+(-0.85) = -5.08+6.67y strategic 1 OK add 5.08 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:04:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.31y+4.23 = 6.67y strategic 1 OK add 2.31y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:05:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.23 = 8.98y strategic 1 OK divide 8.98 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:05:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.83x+5.45 = -1.68+8.69x strategic 1 OK add 1.68 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:05:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.83x+7.13 = 8.69x strategic 1 OK add 7.83x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:05:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.13 = 16.52x strategic 1 OK divide 16.52 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:06:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.01+2.74x = 6.86x+4.46 strategic 1 OK add 6.01 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:06:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.74x = 6.86x+10.47 strategic 1 OK subtract 6.86x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:06:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.12x = 10.47 strategic 1 OK divide -4.12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:06:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+7.81 = -9.94+1.32y strategic 1 OK add 9.94 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:06:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+7.81+9.94 = -9.94+1.32y+9.94 right 1 ERROR right 1.23y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:07:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+7.81+9.94 = -9.94+1.32y+9.94 right 2 OK right 1.32y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:07:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+7.81+9.94 = 1.32y left 1 OK left 7.94y+17.75 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:07:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+17.75 = 1.32y strategic 1 ERROR subtract 7.49y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:08:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+17.75 = 1.32y strategic 2 OK subtract 7.94y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:08:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.94y+17.75-7.94y = 1.32y-7.94y left 1 OK left 17.75 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 17.75 = 1.32y-7.94y right 1 OK right -6.62y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:08:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 17.75 = -6.62y strategic 1 OK divide -6.62 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:08:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 17.75/-6.62 = -6.62y/-6.62 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:09:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 17.75/-6.62 = y left 1 OK left -2.68126 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:09:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.19y+6.1 = 5.2y+4.85 strategic 1 OK subtract 4.85 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:09:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.19y+6.1-4.85 = 5.2y+4.85-4.85 right 1 OK right 5.2y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.19y+6.1-4.85 = 5.2y left 1 OK left 4.19y+1.25 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.19y+1.25 = 5.2y strategic 1 OK subtract 4.19y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.19y+1.25-4.19y = 5.2y-4.19y left 1 OK left 1.25 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.25 = 5.2y-4.19y right 1 OK right 1.01y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.25 = 1.01y strategic 1 OK divide 1.01 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:10:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.25/1.01 = 1.01y/1.01 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:11:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 1.25/1.01 = y left 1 OK left 1.23762 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:11:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.56+(-4.3y) = -9.08y+0.84 strategic 1 OK add 3.56 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:11:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.56+(-4.3y)+3.56 = -9.08y+0.84+3.56 left 1 OK left -4.3y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:12:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.3y = -9.08y+0.84+3.56 right 1 OK right -9.08y+4.4 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:12:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.3y = -9.08y+4.4 strategic 1 ERROR add 9.08 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:12:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.3y = -9.08y+4.4 strategic 2 OK add 9.08y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:12:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.3y+9.08y = -9.08y+4.4+9.08y right 1 OK right 4.4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:13:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.3y+9.08y = 4.4 left 1 OK left 4.78y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:13:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.78y = 4.4 strategic 1 OK divide 4.78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:13:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.78y/4.78 = 4.4/4.78 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:13:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 4.4/4.78 right 1 OK right .92050 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:14:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 78.65+(-32.67y) = 44.86y+(-61.15) strategic 1 OK subtract 78.65 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:14:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -32.67y = 44.86y-139.8 strategic 1 OK subtract 44.86y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:14:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -77.53y = -139.8 strategic 1 OK divide -77.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:15:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 6012.23+782.08x = 6238.21+262.4x strategic 1 OK subtract 6012.23 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:15:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 782.08x = 225.98+262.4x strategic 1 OK subtract 262.4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:15:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 519.68x = 225.98 strategic 1 OK divide 519.68 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:16:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -51.82+(-11.45y) = -66.84+31.29y strategic 1 OK add 51.82 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:16:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -11.45y = -15.02+31.29y strategic 1 OK subtract 31.29y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:16:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -42.74y = -15.02 strategic 1 OK divide -42.74 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:16:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A -2012.14+769.1x = -349.04x+(-6711.1) strategic 1 OK add 2012.14 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:17:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 769.1x = -349.04x-4698.96 strategic 1 OK add 349.04x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:17:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 1118.14x = -4698.96 strategic 1 OK divide 1118.14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:17:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.79+7.77x = -54.4x+87.65 strategic 1 OK subtract 37.79 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:17:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 37.79+7.77x-37.79 = -54.4x+87.65-37.79 left 1 OK left 7.77x condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:18:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 7.77x = -54.4x+87.65-37.79 right 1 OK right -54.4x+49.86 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:18:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 7.77x = -54.4x+49.86 strategic 1 OK add 54.4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:18:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 7.77x+54.4x = -54.4x+49.86+54.4x right 1 OK right 49.86 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:19:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 7.77x+54.4x = 49.86 left 1 OK left 62.17x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:19:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 62.17x = 49.86 strategic 1 OK divide 62.17 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:19:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 62.17x/62.17 = 49.86/62.17 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:19:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = 49.86/62.17 right 1 OK right .80199 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:20:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 7341.82+(-247.69y) = 7222.41+79.54y strategic 1 OK subtract 7222.41 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:20:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 7341.82+(-247.69y)-7222.41 = 7222.41+79.54y-7222.41 right 1 OK right 79.54y condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:21:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 7341.82+(-247.69y)-7222.41 = 79.54y left 1 OK left (-247.69y)+119.41 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:21:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -247.69y+119.41 = 79.54y strategic 1 OK add 247.69y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:22:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A -247.69y+119.41+247.69y = 79.54y+247.69y left 1 OK left 119.41 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:22:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 119.41 = 79.54y+247.69y right 1 OK right 327.23y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:22:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 119.41 = 327.23y strategic 1 OK divide 327.23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:22:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 119.41/327.23 = 327.23y/327.23 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:23:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 119.41/327.23 = y left 1 OK left .36491 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:23:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.73x+68.02 = -45.09x+(-53.53) strategic 1 OK add 53.53 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:24:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.73x+68.02+53.53 = -45.09x+(-53.53)+53.53 right 1 OK right -45.09x condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:24:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.73x+68.02+53.53 = -45.09x left 1 OK left -34.73x+121.55 condition 2 cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:25:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.73x+121.55 = -45.09x strategic 1 OK add 34.73x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:25:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.73x+121.55+34.73x = -45.09x+34.73x left 1 OK left 121.55 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:25:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 121.55 = -45.09x+34.73x right 1 OK right -10.36x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:26:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 121.55 = -10.36x strategic 1 OK divide -10.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:26:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 121.55/-10.36 = -10.36x/-10.36 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z3GhRzh session0 2007-04-27 09:27:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 121.55/-10.36 = x left 1 OK left -11.73262 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:25:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:25:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 ERROR divide 1444 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:26:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 ERROR add 4058 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 3 ERROR divide -1444 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:26:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 4 ERROR divide -1444 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 5 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 11.99 = 1.53y+(-13.52) strategic 1 OK subtract -13.52 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:27:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 25.51 = 1.53y strategic 1 OK divide 1.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:27:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -17 = 31y+40 strategic 1 OK subtract 40 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:27:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 -57 = 31y strategic 1 OK divide 31 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -8.75+(-14.44x) = 7.35 strategic 1 OK subtract -8.75 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -14.44x = 16.1 strategic 1 OK divide -14.44 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 55 = -38+86y strategic 1 OK subtract -38 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 93 = 86y strategic 1 OK divide 86 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -9387 = 3851x+(-2687) strategic 1 OK subtract -2687 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -6700 = 3851x strategic 1 OK divide 3851 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:29:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y+(-2.5) = 0.2 strategic 1 OK subtract -2.5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y+(-2.5)-(-2.5) = 0.2-(-2.5) left 1 BUG left -6.66 You forgot the y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:29:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y+(-2.5)-(-2.5) = 0.2-(-2.5) left 2 OK left -6.66y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:30:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y = 0.2-(-2.5) right 1 OK right 2.7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y = 2.7 strategic 1 OK divide -6.66 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:31:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y/-6.66 = 2.7/-6.66 left 1 BUG left 0.4054 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:32:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C -6.66y/-6.66 = 2.7/-6.66 left 2 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:32:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = 2.7/-6.66 right 1 BUG right 0.4054 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:32:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = 2.7/-6.66 right 2 ERROR right 20.34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:32:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = 2.7/-6.66 right 3 ERROR right -20.34 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:33:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42C y = 2.7/-6.66 right 4 OK right -.4054 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y+(-28) = 46 strategic 1 OK subtract -28 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:34:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y+(-28)-(-28) = 46-(-28) left 1 OK left -19y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:34:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y = 46-(-28) right 1 BUG right -18 -18 is equal to -46 minus -28. You need to calculate 46 minus -28. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y = 46-(-28) right 2 OK right 74 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:34:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y = 74 strategic 1 BUG divide 74 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:34:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y = 74 strategic 2 BUG divide 74 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:35:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y = 74 strategic 3 OK divide -19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:35:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -19y/-19 = 74/-19 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:35:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = 74/-19 right 1 OK right 74/[-19] condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:35:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 y = 74/-19 strategic 1 OK rf 74/-19 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:36:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 1 ERROR -.36842 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:37:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 2 ERROR -0.36842 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:37:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 3 ERROR -0.3684 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:37:12.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 4 INITIAL_HINT -0.3684 In the above expression you have 74/-19. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:37:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 5 ERROR 0.3684 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:38:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 FinalAnswer strategic 6 OK -3.894 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:38:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x+4.57 = -85.99 strategic 1 OK subtract 4.57 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:38:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x+4.57-4.57 = -85.99-4.57 left 1 BUG left -86.72 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:38:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x+4.57-4.57 = -85.99-4.57 left 2 OK left -86.72x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:40:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x = -85.99-4.57 right 1 BUG right 90.56 You need to calculate -85.99 minus 4.57, not 4.57 minus -85.99. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:40:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x = -85.99-4.57 right 2 OK right -90.56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:41:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x = -90.56 strategic 1 OK divide -86.72 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:41:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 -86.72x/-86.72 = -90.56/-86.72 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42 x = -90.56/-86.72 right 1 OK right 1.044 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:42:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 5480+(-8422x) = 3594 strategic 1 OK subtract 5480 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:42:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 5480+(-8422x)-5480 = 3594-5480 left 1 BUG left -8422 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:42:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 5480+(-8422x)-5480 = 3594-5480 left 2 OK left -8422x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:43:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8422x = 3594-5480 right 1 BUG right 1886 You need to calculate 3594 minus 5480, not 5480 minus 3594. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8422x = 3594-5480 right 2 OK right -1886 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:43:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8422x = -1886 strategic 1 OK divide -8422 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:43:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -8422x/-8422 = -1886/-8422 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:44:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = -1886/-8422 right 1 OK right 0.2239 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:44:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x+3837 = 1121 strategic 1 OK subtract 3837 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:45:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x+3837-3837 = 1121-3837 left 1 OK left -1320x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:45:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x = 1121-3837 right 1 OK right -2716 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:46:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x = -2716 strategic 1 ERROR divide x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:46:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x = -2716 strategic 2 BUG divide 1320 In this equation, x is multiplied by -1320. Dividing by 1320 leaves -x, so you still need to remove the negative sign. It is better to divide by -1320, since that would leave x. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:46:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x = -2716 strategic 3 OK divide -1320 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:46:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -1320x/-1320 = -2716/-1320 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:48:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = -2716/-1320 right 1 ERROR right 1396 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:48:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = -2716/-1320 right 2 ERROR right -1396 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:51:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A x = -2716/-1320 right 3 OK right 2.0575 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:51:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34 = -7.41x+9.52 strategic 1 ERROR subtract 9.25 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:51:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34 = -7.41x+9.52 strategic 2 ERROR subtract 9.25 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:52:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34 = -7.41x+9.52 strategic 3 OK subtract 9.52 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:52:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34-9.52 = -7.41x+9.52-9.52 right 1 BUG right -7.41 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:52:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34-9.52 = -7.41x+9.52-9.52 right 2 OK right -7.41x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:53:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 14.34-9.52 = -7.41x left 1 OK left 4.82 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:53:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 4.82 = -7.41x strategic 1 OK divide -7.41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:53:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 4.82/-7.41 = -7.41x/-7.41 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:54:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 4.82/-7.41 = x left 1 OK left -.6504 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:54:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 62 = -60x+(-6) strategic 1 OK subtract -6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:54:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 62-(-6) = -60x+(-6)-(-6) right 1 OK right -60x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:54:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 62-(-6) = -60x left 1 OK left 68 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:54:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 68 = -60x strategic 1 OK divide -60 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:55:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 68/-60 = -60x/-60 left 1 OK left -1.1333333333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:55:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -1.13333333 = -60x/-60 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:57:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.48+(-7y) = -11.43 strategic 1 ERROR subtract -3.84 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:57:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.48+(-7y) = -11.43 strategic 2 OK subtract -3.48 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:57:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -3.48+(-7y)-(-3.48) = -11.43-(-3.48) left 1 OK left -7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:59:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -7y = -11.43-(-3.48) right 1 OK right -7.95 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:59:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -7y = -7.95 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 08:59:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -7y/-7 = -7.95/-7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:00:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = -7.95/-7 right 1 OK right 1.1357 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:00:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -762/x+(-402) = 891 strategic 1 OK subtract -402 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:01:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -762/x = 1293 strategic 1 ERROR multiply 762 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:01:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -762/x = 1293 strategic 2 BUG multiply -762 To remove -762/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -762/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:01:56.0 HINT HINT HW_CONDN2 HW_CONDN2-3a EG59A -762/x = 1293 strategic 3 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:01:57.0 HINT HINT HW_CONDN2 HW_CONDN2-3a EG59A null strategic 1 HINT_LEVEL_CHANGE -762/x is -762 divided by x. How do you undo division? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:02:01.0 HINT HINT HW_CONDN2 HW_CONDN2-3a EG59A null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:02:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -762/x = 1293 strategic 4 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:02:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -762 = 1293x strategic 1 OK divide 1293 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:02:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 321/x+458 = 731 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:04:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A (321/x+458)*x = 731x strategic 1 ERROR add 458 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:04:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A (321/x+458)*x = 731x strategic 2 ERROR multiply 321 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:06:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A (321/x+458)*x = 731x strategic 3 ERROR multiply x condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:06:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 321/x+458 = 731 strategic 2 OK subtract 458 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:06:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 321/x = 273 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:07:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 321 = 273x strategic 1 OK divide 273 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:07:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 22+81/y = -12 strategic 1 OK subtract 22 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:07:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 81/y = -34 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:08:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 81 = -34y strategic 1 OK divide -34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:08:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -84/x+(-160) = 730 strategic 1 OK subtract -160 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:09:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -84/x = 890 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:09:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -84 = 890x strategic 1 OK divide 890 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:10:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 97+27/x = 62 strategic 1 OK subtract 97 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:10:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 97+27/x-97 = 62-97 left 1 OK left 27/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:10:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/x = 62-97 right 1 BUG right 35 You need to calculate 62 minus 97, not 97 minus 62. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/x = 62-97 right 2 OK right -35 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/x = -35 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/x*x = -35x left 1 OK left 27 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27 = -35x right 1 OK right -35x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27 = -35x strategic 1 OK divide -35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:11:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/-35 = -35x/-35 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:12:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 27/-35 = x left 1 OK left -0.7714 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:13:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -992 = 145+(-265/y) strategic 1 OK subtract 145 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:13:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -992-145 = 145+(-265/y)-145 right 1 OK right -265/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:13:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -992-145 = -265/y left 1 BUG left 1137 You need to calculate -992 minus 145, not 145 minus -992. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:13:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -992-145 = -265/y left 2 OK left -1137 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137 = -265/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137y = -265/y*y right 1 OK right -265 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137y = -265 left 1 BUG left -1137 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137y = -265 left 2 OK left -1137y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137y = -265 strategic 1 OK divide -1137 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1137y/-1137 = -265/-1137 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:15:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A y = -265/-1137 right 1 OK right 0.23306 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:15:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/y+46 = -57 strategic 1 OK subtract 46 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:15:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/y+46-46 = -57-46 left 1 OK left -96/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:15:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/y = -57-46 right 1 OK right -103 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:16:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/y = -103 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:16:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/y*y = -103y left 1 OK left -96 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:16:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96 = -103y right 1 OK right -103y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:16:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96 = -103y strategic 1 OK divide -103 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:17:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/-103 = -103y/-103 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:17:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -96/-103 = y left 1 OK left 0.9320 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:18:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 9+(-5x) = -7+(-4x) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:18:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 1 BUG add -16 To remove -16 from the right side, you can add a positive to it. Erase your last step and add 16 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:19:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 2 BUG add -16 To remove -16 from the right side, you can add a positive to it. Erase your last step and add 16 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:19:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 3 ERROR multiply x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:20:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 4 ERROR subtract -16 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:21:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 5 ERROR add -5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:21:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 6 ERROR add -4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:21:41.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 7 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:21:46.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 null strategic 1 HINT_LEVEL_CHANGE Move 4x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:21:51.0 HINT HINT HW_CONDN2 HW_CONDN2-5a EG60 null strategic 2 HINT_LEVEL_CHANGE Add 4x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:22:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5x = -16-4x strategic 8 OK add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:22:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -x = -16 strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:24:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x+1 = 2x+(-1) strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:24:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -2x = 2x-2 strategic 1 OK add 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:24:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = 4x-2 strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:25:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2 = 4x strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:25:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+6y = -6y+(-5) strategic 1 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:25:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+6y = -6y+(-5) strategic 2 BUG add -4 To remove -4 from the left side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:25:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+6y = -6y+(-5) strategic 3 OK subtract -4 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:25:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 6y = -6y-1 strategic 1 OK add -6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:26:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -12y-1 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:26:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 1 = -12y strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:26:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x+0 = 2+9x strategic 1 OK add 0 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:26:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = 2+9x strategic 1 ERROR add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:28:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 4x = 2+9x strategic 2 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:29:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = 2 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:29:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+(-8y) = -4y+(-6) strategic 1 OK subtract -6 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2-8y = -4y strategic 1 ERROR add -8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:29:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2-8y = -4y strategic 2 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:29:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2 = 4y strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:30:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+(-8x) = -7x+10 strategic 1 OK subtract 10 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:31:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -16-8x = -7x strategic 1 OK add 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y+(-5) = -2+(-3y) strategic 1 OK subtract -5 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:31:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8y = 3-3y strategic 1 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:31:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5y = 3 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:32:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+9y = -3+2y strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:32:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+9y-2 = -3+2y-2 left 1 OK left 9y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:33:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9y = -3+2y-2 right 1 OK right -5+2y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:33:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9y = -5+2y strategic 1 ERROR add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:33:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9y = -5+2y strategic 2 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:33:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9y-2y = -5+2y-2y right 1 OK right -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 9y-2y = -5 left 1 OK left 7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y = -5 strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:34:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7y/7 = -5/7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:34:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5/7 right 1 BUG right 0.714 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -5/7 right 2 OK right -0.714 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:35:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+2x = 2x+(-7) strategic 1 OK subtract 7 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:35:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+2x-7 = 2x+(-7)-7 left 1 OK left 2x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-7)-7 right 1 ERROR right 2x*-14 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-7)-7 right 2 OK right 2x+[-14] condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-14) strategic 1 ERROR add 2x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:38:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-14) strategic 2 ERROR add 2x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:39:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-14) strategic 3 ERROR subtract -14 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:39:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 2x+(-14) strategic 4 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:39:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = 2x+(-14)-2x left 1 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = 2x+(-14)-2x left 2 ERROR left 1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session0 2007-04-27 09:39:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = 2x+(-14)-2x right 1 OK right -14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:26:47.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = -14 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:26:53.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 2x-2x on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = -14 left 1 OK left 2x-2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x-2x = -14 strategic 2 OK clt 2x-2x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:39.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 INITIAL_HINT x In the group above, 2x and -2x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE The coefficients in [2x]+[-2x] are 2 and -2. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Combining the like terms 2x and -2x results in 0 HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:27:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK 0x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 1 BUG add 14 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:30:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:30:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:30:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 3 BUG multiply x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:30:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 4 BUG multiply x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:30:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 5 BUG multiply x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:31:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 6 BUG multiply o Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:33:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 7 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:33:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0x = -14 strategic 8 OK mt 0x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 OK x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK x condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:34:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 OK 0 condition 2 perform-mult-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:35:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+9 = 1x+2 strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:36:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x right 1 OK right 1x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:36:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = 1x left 1 OK left -5x+7 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:36:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = 1x strategic 1 OK unnec-elems -5x+7=1x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:36:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 1 ERROR subtract 7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:36:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 2 ERROR divide x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:40:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 3 BUG divide -5 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:42:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 4 ERROR multiply x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:45:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 5 BUG divide -5 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:45:33.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 6 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:45:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:45:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add 5x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:45:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x+7 = x strategic 7 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:46:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 6x right 1 OK right 6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:46:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 6x left 1 ERROR left x+7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:47:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 6x left 2 OK left 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:47:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 6x strategic 1 BUG multiply 6 To remove the coefficient of 6x, you need to divide. Erase your last step and then divide both sides by 6. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:49:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 6x strategic 2 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:49:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7/6 = x right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:50:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7/6 = x left 1 OK left 1.166666666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:51:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1.16666667 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:51:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x+3 = 3+10x strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -x = 10x right 1 OK right 10x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -x = 10x left 1 OK left -1x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x+3 = 3+10x strategic 2 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -x = 10x right 2 OK right 10x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:52:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -x = 10x left 2 OK left -1x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:53:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 10x strategic 1 BUG divide 10 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:53:28.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1x = 10x strategic 2 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:53:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication to remove '1' coefficients. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:53:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 10x strategic 3 OK multiply -1 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:53:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10x left 1 OK left x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:54:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10x right 1 OK right -10x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:54:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10x strategic 1 ERROR mt x = -10x strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10x strategic 2 ERROR divide 10 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = -10x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 10x to the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:39.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add 10x to both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -10x strategic 4 OK add 10x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:55:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11x = 0 right 1 BUG right x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:56:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11x = 0 right 2 ERROR right -20 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:56:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11x = 0 right 3 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:56:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11x = 0 left 1 OK left 11x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:56:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 11x = 0 strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:57:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 0 right 1 OK right 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:58:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 0 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:58:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-8x) = -8+3x strategic 1 OK subtract -8 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:59:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12-8x = 3x right 1 OK right 3x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 08:59:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12-8x = 3x left 1 ERROR left -4 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:00:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12-8x = 3x left 2 BUG left -4+[-8x] -4+[-8x] is equal to 4+[-8x] plus -8. You need to calculate 4+[-8x] minus -8. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:00:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 12-8x = 3x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:00:25.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 4+(-8x)-(-8) on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:00:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12-8x = 3x left 3 OK left 4+[-8x]-[-8] condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:01:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-8x)-(-8) = 3x strategic 1 BUG add -8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:01:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-8x)-(-8) = 3x strategic 2 BUG subtract 4 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:01:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4+(-8x)-(-8) = 3x strategic 3 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:01:47.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:01:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4+(-8x)-(-8) = 3x strategic 4 OK rds 4+(-8x)-(-8) = 3x strategic condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:01.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4-8x+8 = 3x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:03.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4-8x+8 = 3x strategic 2 OK clt 4-8x+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 1 BUG  8x Be sure to select both the term and the negative sign in front of it. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x1R1 strategic 2 OK -8x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms2R1 strategic 1 OK +8 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 1 BUG -4 -4
Perhaps you should fill in all the constant terms above. BUG condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 2 BUG 8 8
Perhaps you should fill in all the constant terms above. BUG condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:02:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 xR2 strategic 1 OK -8x condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:04:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 OK 4 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:04:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant termsR2 strategic 3 OK 12 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:05:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK [-8x]+[12] condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:05:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 1 ERROR subtract 12 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:06:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 2 BUG divide 3 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:06:11.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:06:12.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Move -8x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:06:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 4 ERROR multiply -8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:14.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 5 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:15.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Move -8x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:18.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 6 HINT_LEVEL_CHANGE Subtract -8x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8x+12 = 3x strategic 6 OK subtract -8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = 11x right 1 OK right 11x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:07:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = 11x left 1 OK left 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:10:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12 = 11x strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:10:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12/11 = x right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:10:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12/11 = x left 1 OK left 1.0909 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:12:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y+2 = 3+6y strategic 1 OK subtract 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:12:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = 1+6y left 1 OK left -5y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:12:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = 1+6y right 1 OK right 1+6y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5y = 1+6y strategic 1 OK add 6y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 1+12y right 1 BUG right 1 1 is equal to 1+6y minus 6y. You need to calculate 1+6y plus 6y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 1+12y left 1 OK left 1y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = 1+12y right 1 ERROR right 1y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1y = 1+12y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:17:48.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 1+6y+6y on the right. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:18:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = 1+12y right 2 OK right 1+6y+6y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:18:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y = 1+6y+6y strategic 1 OK unnec-elems 1y=1+6y+6y condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:19:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 1+12y strategic 1 ERROR add 12y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:19:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 1+12y strategic 2 ERROR add y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 1+12y strategic 3 OK subtract y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 1+11y left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 1+11y right 1 OK right 1+11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 1+11y strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 11y right 1 OK right 11y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 11y left 1 BUG left 1 1 is equal to 0 plus 1. You need to calculate 0 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:20:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 11y left 2 OK left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:22:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 11y strategic 1 OK divide 11 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:22:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/11 = y right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:24:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/11 = y left 1 BUG left .090909 You are dividing a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:24:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1/11 = y left 2 OK left -.090909 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:26:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -7.42+(-5.95y) = -1.74y+(-0.66) strategic 1 OK subtract -0.66 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:30:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76-5.95y = -1.74y strategic 1 OK add 5.95y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:31:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76-5.95y = -1.74y strategic 2 ERROR add -5.95y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:31:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76-5.95y = -1.74y strategic 3 OK add 5.95y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:34:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76-5.95y = -1.74y strategic 4 OK add 5.95y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:35:15.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 -6.76 = 4.21y strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:35:19.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 null strategic 1 HINT_LEVEL_CHANGE 4.21y is 4.21 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:35:28.0 HINT HINT HW_CONDN2 HW_CONDN2-7a EG61 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by 4.21. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:35:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76 = 4.21y strategic 2 ERROR divide 4.12y condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I z7Zg3oy session1 2007-05-04 09:37:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.76 = 4.21y strategic 3 OK divide 4.21 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zW2b0zD session1 2007-04-23 12:59:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:00:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:02:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 3.5472 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:04:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 13.2+10.59x = -7.58 strategic 1 BUG subtract -13.2 To remove 13.2 from the left side, you can subtract a positive from it. Erase your last step and subtract 13.2 from both sides. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:04:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 26.4+10.59x = 5.62 strategic 1 OK divide 10.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:05:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 13.2+10.59x = -7.58 strategic 2 ERROR answer-check 0.5307 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:13:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 13.2+10.59x = -7.58 strategic 3 OK subtract 13.2 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:13:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 10.59x = -20.78 strategic 1 OK divide 10.59 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:16:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42B 13.2+10.59x = -7.58 strategic 4 OK answer-check -1.9622 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:16:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -9+(-71y) = 99 strategic 1 OK add 9 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:17:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -71y = 108 strategic 1 OK divide -71 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:20:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 -9+(-71y) = 99 strategic 2 OK answer-check -1.5211 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:20:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -57+(-51x) = 89 strategic 1 ERROR answer-check 1 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:20:57.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -57+(-51x) = 89 strategic 2 ERROR add 21 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:21:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -36-51x = 110 strategic 1 ERROR divide 31 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:26:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -57+(-51x) = 89 strategic 3 ERROR add 51 condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zW2b0zD session1 2007-04-23 13:26:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 -6-51x = 140 strategic 1 BUG divide 140 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 wilkinsburghs-15221 248v318ejl--6--Alg I zd9SY9L session0 2007-04-19 09:45:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:46:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:46:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 OK answer-check 2029/572 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:46:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -3.2 = -1.92y+(-5.93) strategic 1 OK subtract -5.93 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:46:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A 2.73 = -1.92y strategic 1 BUG divide 1.92 In this equation, y is multiplied by -1.92. Dividing by 1.92 leaves -y, so you still need to remove the negative sign. It is better to divide by -1.92, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:46:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -3.2 = -1.92y+(-5.93) strategic 2 ERROR answer-check 1.4219 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG42A -3.2 = -1.92y+(-5.93) strategic 3 OK answer-check -1.4219 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91x+4 = -87 strategic 1 OK subtract 4 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91x = -91 strategic 1 OK divide 91 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1a EG43 91x+4 = -87 strategic 2 OK answer-check -1 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.68 = -13.55y+(-12) strategic 1 OK subtract -12 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 24.68 = -13.55y strategic 1 BUG divide 13.55 In this equation, y is multiplied by -13.55. Dividing by 13.55 leaves -y, so you still need to remove the negative sign. It is better to divide by -13.55, since that would leave y. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:47:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.68 = -13.55y+(-12) strategic 2 ERROR answer-check 1.8214 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.68 = -13.55y+(-12) strategic 3 ERROR answer-check 0.7603 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42B 12.68 = -13.55y+(-12) strategic 4 OK answer-check -1.8214 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7798+(-1274y) = -2410 strategic 1 OK subtract 7798 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -1274y = -10208 strategic 1 OK divide -1274 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7798+(-1274y) = -2410 strategic 2 ERROR answer-check 5104/673 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7798+(-1274y) = -2410 strategic 3 ERROR answer-check -5104/673 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:48:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7798+(-1274y) = -2410 strategic 4 ERROR answer-check -5104/637 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 7798+(-1274y) = -2410 strategic 5 OK answer-check 5104/637 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 71 = 37y+(-49) strategic 1 OK subtract -49 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 120 = 37y strategic 1 OK divide 37 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43 71 = 37y+(-49) strategic 2 OK answer-check 120/37 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.55x+7.26 = 6.51 strategic 1 OK subtract 7.26 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.55x = -0.75 strategic 1 OK divide 3.55 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.55x+7.26 = 6.51 strategic 2 ERROR answer-check 0.2113 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42C 3.55x+7.26 = 6.51 strategic 3 OK answer-check -0.2113 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:49:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -9660 = 1269x+(-9259) strategic 1 BUG subtract -9660 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:50:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A 0 = 1269x+401 strategic 1 OK divide 1269 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:50:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -9660 = 1269x+(-9259) strategic 2 OK subtract -9259 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:51:03.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -401 = 1269x strategic 1 ERROR divide 1296 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:52:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -9660 = 1269x+(-9259) strategic 3 ERROR subtract 9529 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:52:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -19189 = 1269x-18788 strategic 1 OK add 18788 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:52:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -401 = 1269x strategic 2 OK divide 1269 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:53:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG43A -9660 = 1269x+(-9259) strategic 4 OK answer-check -401/1269 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:53:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -70.39 = -73.22x+71.45 strategic 1 OK subtract 71.45 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:53:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -141.84 = -73.22x strategic 1 OK divide -73.22 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:53:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-1 EG42 -70.39 = -73.22x+71.45 strategic 2 OK answer-check 1.9372 condition 3 Isolate variable term in two-step equations, decimal>10000. Remove coefficient in two-step equations, decimal>10000. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:54:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60 = -17x+(-85) strategic 1 BUG subtract 85 Since -85 is negative, you should add to remove it from the right side. Erase your last step and add 85 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:54:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60-85 = -17x+(-85)-85 left 1 OK left -145 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:54:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -145 = -17x+(-85)-85 right 1 OK right 0 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:54:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60 = -17x+(-85) strategic 2 ERROR answer-check -145 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:55:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60 = -17x+(-85) strategic 3 OK subtract -85 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:55:39.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60-(-85) = -17x+(-85)-(-85) left 1 OK left 25 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:55:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25 = -17x+(-85)-(-85) right 1 OK right -17x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:55:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25 = -17x strategic 1 OK divide -17 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:56:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 25/-17 = -17x/-17 left 1 OK left -1.4705 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:56:14.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -1.47058824 = -17x/-17 right 1 OK right x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:56:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43 -60 = -17x+(-85) strategic 4 OK answer-check -1.4706 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:58:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6) = 21.38 strategic 1 OK subtract -7.6 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:58:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6)-(-7.6) = 21.38-(-7.6) left 1 OK left -35.94y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:58:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y = 21.38-(-7.6) right 1 OK right 28.98 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:58:56.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y = 28.98 strategic 1 ERROR divide -35394 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:59:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y/-35394 = 28.98/-35394 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:59:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 28.98/-35394 right 1 OK right -8.1878 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 09:59:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6) = 21.38 strategic 2 ERROR answer-check -8.1878 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:04:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6) = 21.38 strategic 3 OK subtract -7.6 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:04:53.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6)-(-7.6) = 21.38-(-7.6) left 2 OK left -35.94y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:05:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y = 21.38-(-7.6) right 2 OK right 28.98 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:06:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y = 28.98 strategic 2 OK divide -35.94 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:06:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y/-35.94 = 28.98/-35.94 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:06:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 y = 28.98/-35.94 right 1 OK right -0.809 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:06:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42 -35.94y+(-7.6) = 21.38 strategic 4 OK answer-check -0.8063 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:11:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.84+(-5.35y) = 7.66 strategic 1 ERROR subtract -5.35 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:11:40.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.84+(-5.35y)-(-5.35) = 7.66-(-5.35) left 1 OK left 17.83 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:16:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.84+(-5.35y) = 7.66 strategic 2 OK subtract 12.84 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.84+(-5.35y)-12.84 = 7.66-12.84 left 1 OK left -5.35y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:22.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.35y = 7.66-12.84 right 1 OK right -5.18 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.35y = -5.18 strategic 1 OK divide -5.35 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A -5.35y/-5.35 = -5.18/-5.35 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A y = -5.18/-5.35 right 1 OK right 0.9682 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:25:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42A 12.84+(-5.35y) = 7.66 strategic 3 OK answer-check 0.9682 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:26:32.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1535+2035y = 320 strategic 1 OK subtract -1535 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:26:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1535+2035y-(-1535) = 320-(-1535) left 1 OK left 2035y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:26:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2035y = 320-(-1535) right 1 OK right 1855 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:26:59.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2035y = 1855 strategic 1 OK divide 2035 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:27:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A 2035y/2035 = 1855/2035 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:27:17.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A y = 1855/2035 right 1 OK right 0.9115 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:27:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG43A -1535+2035y = 320 strategic 2 OK answer-check 0.9115 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:27:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y+(-8.3) = -4.03 strategic 1 OK subtract -8.3 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:27:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y+(-8.3)-(-8.3) = -4.03-(-8.3) left 1 OK left 0.93y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:28:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y = -4.03-(-8.3) right 1 OK right 4.27 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:28:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y = 4.27 strategic 1 OK divide 0.93 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:28:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y/0.93 = 4.27/0.93 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:28:23.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B y = 4.27/0.93 right 1 OK right 4.591 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:28:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-2 EG42B 0.93y+(-8.3) = -4.03 strategic 2 OK answer-check 4.591 condition 3 Add/subtract in two-step equations. Multiply/divide in two-step equations. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:29:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -659 = -118+780/y strategic 1 OK add 118 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:30:05.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -541 = 780/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:30:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -541y = 780 strategic 1 OK divide -541 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:30:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3a EG59A -659 = -118+780/y strategic 2 OK answer-check -780/541 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:31:44.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -696 = 952/y+(-662) strategic 1 ERROR subtract -14 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:32:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -696 = 952/y+(-662) strategic 2 BUG subtract --662 Since -662 is negative, you should add to remove it from the right side. Erase your last step and add 662 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:32:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -696 = 952/y+(-662) strategic 3 BUG subtract 662 Since -662 is negative, you should add to remove it from the right side. Erase your last step and add 662 to both sides. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:34:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -1358 = 952/y-1324 strategic 1 OK add 1324 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:34:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -34 = 952/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:34:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -34y = 952 strategic 1 OK divide -34 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:34:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -696 = 952/y+(-662) strategic 4 OK answer-check -28 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:34:50.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 9+(-60/y) = -75 strategic 1 OK subtract 9 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -60/y = -84 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 -60 = -84y strategic 1 OK divide -84 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:12.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59 9+(-60/y) = -75 strategic 2 OK answer-check 5/7 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -624 = 85/x+(-498) strategic 1 OK subtract -498 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -126 = 85/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:35:54.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -126x = 85 strategic 1 OK divide -126 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:36:06.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-3 EG59A -624 = 85/x+(-498) strategic 2 OK answer-check -85/126 condition 3 Remove variable from denominator. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:36:34.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 268+(-84/y) = -83 strategic 1 OK subtract 268 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:36:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 268+(-84/y)-268 = -83-268 left 1 OK left -84/y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:02.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/y = -83-268 right 1 OK right -351 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/y = -351 strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/y*y = -351y left 1 OK left -843 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/y = -351 strategic 2 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/y*y = -351y left 2 OK left -84 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84 = -351y right 1 OK right -351y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84 = -351y strategic 1 OK divide -351 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:37:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/-351 = -351y/-351 right 1 OK right y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:00.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A -84/-351 = y left 1 OK left 0.239 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59A 268+(-84/y) = -83 strategic 2 OK answer-check 0.239 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:13.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26 = 47/x+71 strategic 1 OK subtract 71 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:18.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26-71 = 47/x+71-71 right 1 OK right 47/x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:26.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26-71 = 47/x left 1 OK left -45 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45 = 47/x strategic 1 OK multiply x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:37.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45x = 47/x*x left 1 OK left -45x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:41.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45x = 47/x*x right 1 OK right 47 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:46.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45x = 47 strategic 1 OK divide -45 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:38:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -45x/-45 = 47/-45 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 x = 47/-45 right 1 OK right -1.0443 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 26 = 47/x+71 strategic 2 OK answer-check -1.0444 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:21.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = -93/y+30 strategic 1 OK subtract 30 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:28.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14-30 = -93/y+30-30 left 1 OK left -16 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16 = -93/y+30-30 right 1 OK right -93/y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16 = -93/y strategic 1 OK multiply y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:42.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16y = -93/y*y left 1 OK left -16y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16y = -93/y*y right 1 OK right -93 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:49.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16y = -93 strategic 1 OK divide -16 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:39:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 -16y/-16 = -93/-16 left 1 OK left y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 y = -93/-16 right 1 OK right 5.8125 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:09.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-4 EG59 14 = -93/y+30 strategic 2 OK answer-check 5.8125 condition 3 Remove variable from denominator, type-in. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7x+8 = 2+6x strategic 1 OK subtract 8 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7x = -6+6x strategic 1 OK subtract 6x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:48.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -13x = -6 strategic 1 OK divide -13 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:40:55.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5a EG60 -7x+8 = 2+6x strategic 2 OK answer-check 6/13 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:42:11.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1y+(-1) = -6y+2 strategic 1 OK subtract -1 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:42:27.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 y = -6y+3 strategic 1 OK subtract -6y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:42:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 7y = 3 strategic 1 OK divide 7 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:42:35.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1y+(-1) = -6y+2 strategic 2 OK answer-check 3/7 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:42:43.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+(-1y) = 1y+2 strategic 1 OK subtract -4 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -y = y+6 strategic 1 OK add 1y condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 0 = 2y+6 strategic 1 OK subtract 6 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:20.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -6 = 2y strategic 1 OK divide 2 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:24.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -4+(-1y) = 1y+2 strategic 2 OK answer-check -3 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:31.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+6x = 7+5x strategic 1 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:43:45.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6x = 6+5x strategic 1 OK subtract 6x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:44:01.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 0 = 6-x strategic 1 ERROR subtract 1x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:44:08.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -x = 6-2x strategic 1 ERROR add 6 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:44:19.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -x = 6-2x strategic 2 ERROR add -6 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:44:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 -x-6 = -2x strategic 1 BUG divide -2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:47:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+6x = 7+5x strategic 2 OK subtract 1 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:10.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 6x = 6+5x strategic 2 OK subtract 5x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-5 EG60 1+6x = 7+5x strategic 3 OK answer-check 6 condition 3 Consolidate variarbles, integers<10. cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:30.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+(-7x) = -9+5x strategic 1 OK subtract -1 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:36.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+(-7x)-(-1) = -9+5x-(-1) left 1 OK left -7x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:52.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = -9+5x-(-1) right 1 OK right -9+4x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:48:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = -9+4x strategic 1 OK subtract 4x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:53:04.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+(-7x) = -9+5x strategic 2 OK subtract -1 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:53:16.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+(-7x)-(-1) = -9+5x-(-1) left 2 OK left -7x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:53:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = -9+5x-(-1) right 2 OK right -9+6x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:53:58.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x = -9+6x strategic 1 OK subtract 6x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:07.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x-6x = -9+6x-6x right 1 OK right -9 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:25.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -7x-6x = -9 left 1 OK left -13x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:33.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -13x = -9 strategic 1 OK divide -13 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:38.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -13x/-13 = -9/-13 left 1 OK left x condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:47.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 x = -9/-13 right 1 OK right 0.6923 condition 3 cwctc 247w34xrp1--3--Alg I zd9SY9L session0 2007-04-19 10:54:51.0 CYCLE CYCLE HW_CONDN3 HW_CONDN3-6 EG60 -1+(-7x) = -9+5x strategic 3 ERROR answer-check 0.6923 condition 3 Add/subtract with variables on both sides. Multiply/divide with variables on both sides. cwctc 247w34xrp1--3--Alg I zt5vuLM session0 2007-04-27 08:26:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:26:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 2 ERROR clt -4613 = -1144y-555 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:26:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 3 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:26:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 87.83 = 35.09y+74.99 strategic 1 OK subtract 74.99 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42 12.84 = 35.09y strategic 1 OK divide 35.09 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 6055x+8551 = -1750 strategic 1 OK subtract 8551 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 6055x = -10301 strategic 1 OK divide 6055 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -17.95 = 93.99x+34.67 strategic 1 ERROR add 2.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:27:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -17.95 = 93.99x+34.67 strategic 2 ERROR add 2.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -17.95 = 93.99x+34.67 strategic 3 ERROR add 2.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -17.95 = 93.99x+34.67 strategic 4 ERROR add 2.07 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -17.95 = 93.99x+34.67 strategic 5 OK subtract 34.67 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -52.62 = 93.99x strategic 1 OK divide 93.99 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 35y+(-58) = 45 strategic 1 OK add 58 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:28:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 35y = 103 strategic 1 OK divide 35 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 6606 = 6622y+8194 strategic 1 OK subtract 8194 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -1588 = 6622y strategic 1 OK divide 6622 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 1.75 = -1+(-7.74x) strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B 2.75 = -7.74x strategic 1 OK divide -7.74 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x+(-13.14) = -11.19 strategic 1 OK add 13.14 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x+(-13.14)+13.14 = -11.19+13.14 left 1 BUG left -11.63 You forgot the x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x+(-13.14)+13.14 = -11.19+13.14 left 2 OK left -11.63x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x = -11.19+13.14 right 1 OK right -11.19+13.14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x = -11.19+13.14 strategic 1 OK divide -11.63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:29:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.63x/-11.63 = (-11.19+13.14)/-11.63 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = (-11.19+13.14)/-11.63 right 1 OK right (-11.19+13.14)/(-11.63) condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = (-11.19+13.14)/-11.63 strategic 1 OK rf (-11.19+13.14)/-11.63 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-N-constant factors strategic 1 ERROR 1/[-11.63] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-N--11.19+13.14 strategic 1 OK -11.19+13.14 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-N-constant factors strategic 2 ERROR 1/[-11.63] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-D-constant factors strategic 1 OK 1/[-11.63] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-N-constant factors strategic 3 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row1-D--11.19+13.14 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row2-11.19+13.14 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 2 ERROR 0 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 3 ERROR -11.19 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:35.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 4 INITIAL_HINT -11.19 The common factor between the numerator and denominator of [-11.19+13.14]/[1] is 1. This set of entry boxes represent the simplified form of [-11.19+13.14]/[1]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 5 ERROR -11 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:38.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 1 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:42.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 2 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -11.19+13.14, by 1, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:30:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 6 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-N--11.19+13.14 strategic 7 OK 1.95 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-D-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-D--11.19+13.14 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-D-constant factors strategic 2 ERROR 1.95 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:21.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B row3-D-constant factors strategic 3 INITIAL_HINT 1.95 The common factor between the numerator and denominator of [1]/[-11.63] is 1. This set of entry boxes represent the simplified form of [1]/[-11.63]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:22.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 3 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:24.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -11.63, by 1, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:28.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 5 HINT_LEVEL_CHANGE Type -11.63. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B row3-D-constant factors strategic 4 OK -11.63 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 1 ERROR -11.63 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:41.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 2 INITIAL_HINT -11.63 In the above expression you have (-11.19+13.14)/-11.63. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:42.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 6 HINT_LEVEL_CHANGE To simplify, divide -11.63 into -11.19+13.14. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:31:44.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 7 HINT_LEVEL_CHANGE Type -0.08598452(-11.19+13.14). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 3 OK -0.0860(-11.19+13.14) condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:07.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B x = -0.086(-11.19+13.14) strategic 1 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:08.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 8 HINT_LEVEL_CHANGE Be sure to do operations within parentheses first. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:11.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 9 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = -0.086(-11.19+13.14) strategic 2 OK clt -11.19+13.14 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 4 OK 1.95 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:25.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B x = -0.086*1.95 strategic 1 INITIAL_HINT condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:26.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG42B null strategic 10 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = -0.086*1.95 strategic 2 OK mt -0.086*1.95 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:32:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B FinalAnswer strategic 5 OK -0.1677 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 909y+4110 = 8338 strategic 1 OK subtract 4110 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 909y+4110-4110 = 8338-4110 left 1 OK left 909y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 909y = 8338-4110 right 1 OK right 8338-4110 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 909y = 8338-4110 strategic 1 OK divide 909 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A 909y/909 = (8338-4110)/909 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = (8338-4110)/909 right 1 OK right (8338-4110)/909 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:43.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43A y = (8338-4110)/909 strategic 1 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:44.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43A null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:33:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = (8338-4110)/909 strategic 2 OK clt 8338-4110 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A FinalAnswer strategic 1 OK 4228 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -1.04 = -9.16+7.48y strategic 1 OK add 9.16 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -1.04+9.16 = -9.16+7.48y+9.16 left 1 OK left 8.12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.12 = -9.16+7.48y+9.16 right 1 OK right 7.48y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.12 = 7.48y strategic 1 OK divide 7.48 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:34:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.12/7.48 = 7.48y/7.48 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:35:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 8.12/7.48 = y left 1 OK left 1.0855 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:35:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -78 = -44+(-32y) strategic 1 OK add 44 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:35:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -78+44 = -44+(-32y)+44 left 1 OK left -34 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:35:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34 = -44+(-32y)+44 right 1 OK right -32y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:35:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34 = -32y strategic 1 OK divide -32 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = -32y/-32 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y left 1 ERROR left -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y left 2 OK left -34/-32 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:24.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:25.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y strategic 2 OK rf -34/-32 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 1 ERROR -32 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 2 ERROR -34 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 3 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:40.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 row2constant factors strategic 4 INITIAL_HINT 2 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:36:41.0 HINT HINT HW_CONDN2 HW_CONDN2-2 EG43 null strategic 2 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -34 and denominator -32? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34 = -32y strategic 2 OK divide -32 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = -32y/-32 right 2 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y left 3 ERROR left 1.0325 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -34/-32 = y left 4 OK left 1.0625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 791/y+(-18) = 463 strategic 1 OK add 18 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 791/y = 481 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 791 = 481y strategic 1 OK divide 481 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 8/x+9 = -78 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:37:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 8/x = -87 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 8 = -87x strategic 1 BUG divide -87x Dividing anything by itself will leave 1. If you divide -87x by -87, x will be left. Erase your last step and then divide by -87. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 8 = -87x strategic 2 OK divide -87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -482 = -445/x+693 strategic 1 OK subtract 693 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1175 = -445/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -1175x = -445 strategic 1 OK divide -1175 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 31 = -81/y+(-47) strategic 1 OK add 47 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 78 = -81/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 78y = -81 strategic 1 OK divide 78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -104+86/x = -307 strategic 1 OK add 104 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -104+86/x+104 = -307+104 left 1 OK left 86/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:38:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86/x = -307+104 right 1 OK right -203 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86/x = -203 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86/x*x = -203x left 1 OK left 86 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86 = -203x right 1 OK right -203x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86 = -203x strategic 1 OK divide -203 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86/-203 = -203x/-203 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 86/-203 = x left 1 OK left -0.423 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -47 = 61+59/y strategic 1 OK subtract 61 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -47-61 = 61+59/y-61 left 1 OK left -108 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108 = 61+59/y-61 right 1 OK right 59/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108 = 59/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108y = 59/y*y right 1 OK right 59 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108y = 59 left 1 OK left -108y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108y = 59 strategic 1 OK divide -108 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:39:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -108y/-108 = 59/-108 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 y = 59/-108 right 1 OK right -0.546 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -264 = 923+742/x strategic 1 OK subtract 923 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -264-923 = 923+742/x-923 left 1 ERROR left -118 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -264-923 = 923+742/x-923 left 2 OK left -1187 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187 = 923+742/x-923 right 1 OK right 742/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187 = 742/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:40:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187x = 742/x*x right 1 OK right 742 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187x = 742 left 1 BUG left -1187 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187x = 742 left 2 OK left -1187x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187x = 742 strategic 1 OK divide -1187 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -1187x/-1187 = 742/-1187 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 742/-1187 right 1 OK right -0.625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 6+9x = -8+(-5x) strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:41:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 9x = -14-5x strategic 1 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 14x = -14 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 7+2y = 8y+6 strategic 1 OK subtract 6 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 1+2y = 8y strategic 1 ERROR add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:24.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 1+2y = 8y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:25.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:28.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract 2y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 1+2y = 8y strategic 3 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 1 = 6y strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2y+5 = -8+6y strategic 1 OK add 8 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2y+13 = 6y strategic 1 OK subtract 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 13 = 4y strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:42:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y+2 = -10+(-5y) strategic 1 OK add 10 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y+12 = -5y strategic 1 ERROR subtract 4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:05.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -4y+12 = -5y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:05.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 1 HINT_LEVEL_CHANGE Move -4y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:08.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 2 HINT_LEVEL_CHANGE Subtract -4y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y+12 = -5y strategic 3 ERROR add -4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:15.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 -4y+12 = -5y strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:16.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 3 HINT_LEVEL_CHANGE Move -4y to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:20.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 4 HINT_LEVEL_CHANGE Subtract -4y from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4y+12 = -5y strategic 5 OK subtract -4y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:31.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 12 = -y strategic 1 INITIAL_HINT condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:31.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 5 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:35.0 HINT HINT HW_CONDN2 HW_CONDN2-5 EG60 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 12 = -y strategic 2 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3+6y = 1y+(-5) strategic 1 OK add 5 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8+6y = y strategic 1 OK subtract 6y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 8 = -5y strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:43:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7+6x = 1+3x strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8+6x = 3x strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -8 = -3x strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+0 = 9+(-4y) strategic 1 OK subtract 9 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+0-9 = 9+(-4y)-9 right 1 OK right -4y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y+0-9 = -4y left 1 OK left -9y-9 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9 = -4y strategic 1 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9y-9+9y = -4y+9y left 1 OK left -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9 = -4y+9y right 1 OK right 5y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9 = 5y strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:44:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9/5 = 5y/5 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9/5 = y left 1 OK left -1.8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1.8 = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+9y = 9y+3 strategic 1 OK subtract 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+9y-3 = 9y+3-3 right 1 OK right 9y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+9y-3 = 9y left 1 OK left -1+9y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9y = 9y strategic 1 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+9y-9y = 9y-9y left 1 OK left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 9y-9y right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1 = 0 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] [SkillRule: done no solutions; {done no solution; Done No Solution, domain exception; Done No Solution, range exception}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Since -1 never equals 0, no value of y will make this equation true. 2+9y is never equal to 9y+3. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:45:55.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Select 'Classify Solution: No Solution'. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+7x = 8x+0 strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2+7x-7x = 8x+0-7x left 1 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 8x+0-7x right 1 OK right 1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2 = 1x strategic 1 OK unnec-elems -2=1x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+6x = -10x+(-9) strategic 1 OK add 9 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+6x+9 = -10x+(-9)+9 right 1 OK right -10x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+6x+9 = -10x left 1 OK left 1+6x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+6x = -10x strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:46:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+6x-6x = -10x-6x left 1 OK left 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1 = -10x-6x right 1 OK right -16x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1 = -16x strategic 1 OK divide -16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1/-16 = -16x/-16 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1/-16 = x left 1 ERROR left -0.437 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1/-16 = x left 2 OK left 1/-16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1/-16 = x strategic 1 INITIAL_HINT condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:47:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1/-16 = x strategic 2 OK rf 1/-16 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -0.0625 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+(-7) = 1+9x strategic 1 OK subtract 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+(-7)-1 = 1+9x-1 right 1 OK right 9x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+(-7)-1 = 9x left 1 OK left 6x+-8 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+(-8) = 9x strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 6x+(-8)-6x = 9x-6x left 1 OK left -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8 = 9x-6x right 1 OK right 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8 = 3x strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8/3 = 3x/3 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:48:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8/3 = x left 1 OK left -2.66666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.64y+6.66 = 8.33y+(-5.3) strategic 1 OK subtract 6.66 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -9.64y = 8.33y-11.96 strategic 1 OK subtract 8.33y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -17.97y = -11.96 strategic 1 OK divide -17.97 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+(-8.48) = 5.32x+(-9.61) strategic 1 OK add 9.61 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+1.13 = 5.32x strategic 1 ERROR add 5.21 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+1.13 = 5.32x strategic 2 BUG divide 5.32 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:52.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+1.13 = 5.32x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:53.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 1 HINT_LEVEL_CHANGE Move -5.21x to the right side. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:49:56.0 HINT HINT HW_CONDN2 HW_CONDN2-7 EG61 null strategic 2 HINT_LEVEL_CHANGE Subtract -5.21x from both sides. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+1.13 = 5.32x strategic 4 ERROR subtract -5.21 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.21x+1.13 = 5.32x strategic 5 OK subtract -5.21x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.13 = 10.53x strategic 1 OK divide 10.53 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.17y+8.1 = -0.77y+3.2 strategic 1 ERROR add 3.2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.17y+8.1 = -0.77y+3.2 strategic 2 OK subtract 3.2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.17y+4.9 = -0.77y strategic 1 OK subtract 4.17y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.9 = -4.94y strategic 1 OK divide -4.94 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:50:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.85+(-5.18x) = 4.67x+(-7.84) strategic 1 OK add 7.84 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.01-5.18x = 4.67x strategic 1 ERROR subtract 5.18 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.01-5.18x = 4.67x strategic 2 OK subtract -5.18x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.01 = 9.85x strategic 1 BUG divide 9.85x Dividing anything by itself will leave 1. If you divide 9.85x by 9.85, x will be left. Erase your last step and then divide by 9.85. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.01 = 9.85x strategic 2 OK divide 9.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -5.07+(-6.02y) = 7.97+0.38y strategic 1 OK subtract 7.97 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -13.04-6.02y = 0.38y strategic 1 OK subtract -6.02y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -13.04 = 6.4y strategic 1 OK divide 6.4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.22y+(-8.25) = 0.24+(-2.28y) strategic 1 OK subtract 0.24 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:51:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.22y-8.49 = -2.28y strategic 1 OK subtract -9.22y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.49 = 6.94y strategic 1 OK divide 6.94 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.44y+(-7.1) = -7.81y+(-8.46) strategic 1 OK add 8.46 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.44y+1.36 = -7.81y strategic 1 ERROR add 8.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 8.44y+1.36 = -7.81y strategic 2 OK subtract 8.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.36 = -16.25y strategic 1 OK divide -16.25 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.48x+(-0.04) = 3.02x+(-9.26) strategic 1 OK add 9.26 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:52:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.48x+9.22 = 3.02x strategic 1 ERROR subtract 1.38x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:53:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.48x+9.22 = 3.02x strategic 2 ERROR subtract 1.48x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:53:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.48x+9.22 = 3.02x strategic 3 OK subtract -1.48x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:53:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 9.22 = 4.5x strategic 1 OK divide 4.5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.64+3.74y = 1.08+7.01y strategic 1 OK subtract 1.08 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.56+3.74y = 7.01y strategic 1 BUG divide 7.01 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.56+3.74y = 7.01y strategic 2 OK subtract 3.74y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.56 = 3.27y strategic 1 OK divide 3.27 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.51x+4.54 = -9.61x+1.42 strategic 1 ERROR add 9.61 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.51x+4.54 = -9.61x+1.42 strategic 2 OK subtract 1.42 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.51x+3.12 = -9.61x strategic 1 OK subtract 0.51x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:54:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.12 = -10.12x strategic 1 OK divide -10.12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 3.68+2.91x = -3.82x+9.88 strategic 1 OK subtract 9.88 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.2+2.91x = -3.82x strategic 1 OK subtract 2.91x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.2 = -6.73x strategic 1 OK divide -6.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.34y+(-4.23) = -7.27y+5.33 strategic 1 OK subtract 5.33 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.34y-9.56 = -7.27y strategic 1 OK subtract -4.34y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.56 = -2.93y strategic 1 OK divide -2.93 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.24+8.18y = -1.48+7.84y strategic 1 OK add 1.48 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.72+8.18y = 7.84y strategic 1 OK subtract 8.18y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:55:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 1.72 = -0.34y strategic 1 OK divide -0.34 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:56:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.43x+0.86 = 1.47+4.68x strategic 1 OK subtract 1.47 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:56:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.43x+0.86-1.47 = 1.47+4.68x-1.47 right 1 OK right 4.68x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:56:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.43x+0.86-1.47 = 4.68x left 1 OK left 7.43x+-0.61 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.43x+(-0.61) = 4.68x strategic 1 OK subtract 7.43x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.43x+(-0.61)-7.43x = 4.68x-7.43x left 1 OK left -0.61 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.61 = 4.68x-7.43x right 1 OK right -2.75x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.61 = -2.75x strategic 1 OK divide -2.75 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.61/-2.75 = -2.75x/-2.75 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.61/-2.75 = x left 1 OK left 0.221 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:57:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x = 9.02+(-4.92x) strategic 1 OK subtract 9.02 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:58:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x-9.02 = 9.02+(-4.92x)-9.02 right 1 OK right -4.92x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:58:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x-9.02 = -4.92x left 1 OK left -1.46+5.34x-9.02 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:58:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x-9.02 = -4.92x strategic 1 OK subtract 5.34x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:59:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x-9.02-5.34x = -4.92x-5.34x left 1 BUG left -10.48 Just subtract 5.34x from -1.46+5.34x-9.02. You can simplify in the next step. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:59:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46+5.34x-9.02-5.34x = -4.92x-5.34x left 2 OK left -1.46-9.02 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:59:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46-9.02 = -4.92x-5.34x right 1 OK right -10.26x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:59:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.46-9.02 = -10.26x strategic 1 OK divide -10.26 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 08:59:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 (-1.46-9.02)/-10.26 = -10.26x/-10.26 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 (-1.46-9.02)/-10.26 = x left 1 BUG left 1.021 Just divide -1.46-9.02 by -10.26. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:30.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 (-1.46-9.02)/-10.26 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:31.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in (-1.46-9.02)/-10.26 on the left. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 (-1.46-9.02)/-10.26 = x left 2 OK left (-1.46-9.02)/-10.26 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 (-1.46-9.02)/-10.26 = x strategic 2 OK rf (-1.46-9.02)/-10.26 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-N-constant factors strategic 1 ERROR 1/[-10.26] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-N-constant factors strategic 2 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-N--1.46-9.02 strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:00:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-N--1.46-9.02 strategic 2 ERROR 1/[-10.26] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-N--1.46-9.02 strategic 3 OK -1.46-9.02 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-D-constant factors strategic 1 OK 1/[-10.26] condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row1-D--1.46-9.02 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row2constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-N-constant factors strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row2-1.46-9.02 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:07.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 row3-N--1.46-9.02 strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-1.46-9.02]/[1] is 1. This set of entry boxes represent the simplified form of [-1.46-9.02]/[1]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:08.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 2 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:12.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 3 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -1.46-9.02, by 1, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:16.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 4 HINT_LEVEL_CHANGE Type -1.46-9.02. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-N--1.46-9.02 strategic 2 ERROR -10.58 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-N--1.46-9.02 strategic 3 OK -10.48 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-D-constant factors strategic 1 ERROR 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-D--1.46-9.02 strategic 1 OK 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:47.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 row3-D-constant factors strategic 2 INITIAL_HINT 1 The common factor between the numerator and denominator of [1]/[-10.26] is 1. This set of entry boxes represent the simplified form of [1]/[-10.26]. HINT 1 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:48.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 5 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:49.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 6 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -10.26, by 1, the common factor. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:49.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 7 HINT_LEVEL_CHANGE Type -10.26. HINT 4 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 row3-D-constant factors strategic 3 OK -10.26 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:58.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have (-1.46-9.02)/-10.26. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:58.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have (-1.46-9.02)/-10.26. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:01:59.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 8 HINT_LEVEL_CHANGE To simplify, divide -10.26 into -1.46-9.02. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:00.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 9 HINT_LEVEL_CHANGE Type -0.09746589(-1.46-9.02). HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 3 OK -0.0975(-1.46-9.02) condition 2 simplify-fractions-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:27.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 -0.0975(-1.46-9.02) = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:28.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 10 HINT_LEVEL_CHANGE Be sure to do operations within parentheses first. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:31.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 11 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 3 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.0975(-1.46-9.02) = x strategic 2 OK clt -1.46-9.02 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 4 ERROR -10.26 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 5 OK -10.48 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:02:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -0.0975*(-10.48) = x strategic 1 OK mt -0.0975*(-10.48) condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:03:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 6 OK 1.0218 condition 2 perform-mult-row2-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:03:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94+(-2.95y) = -1y+6.72 strategic 1 OK subtract 6.72 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:03:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94+(-2.95y)-6.72 = -1y+6.72-6.72 right 1 OK right -1y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:03:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94+(-2.95y)-6.72 = -1y left 1 ERROR left -1.19 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:04:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94+(-2.95y)-6.72 = -1y left 2 ERROR left -1.19+(-2.95y) condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:04:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94+(-2.95y)-6.72 = -1y left 3 OK left -7.94+(-2.95y)-6.72 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:04:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-2.95y-6.72 = -1y strategic 1 OK subtract -2.95y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:04:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-2.95y-6.72-(-2.95y) = -1y-(-2.95y) left 1 ERROR left -1.19 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:04:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-2.95y-6.72-(-2.95y) = -1y-(-2.95y) left 2 OK left -7.94-6.72 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:05:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-6.72 = -1y-(-2.95y) right 1 BUG right -3.95y -3.95y is equal to -1y plus -2.95y. You need to calculate -1y minus -2.95y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:05:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-6.72 = -1y-(-2.95y) right 2 BUG right -1y-(2.95y) -1y-(2.95y) is equal to -1y plus -2.95y. You need to calculate -1y minus -2.95y. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:05:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-6.72 = -1y-(-2.95y) right 3 OK right 1.95y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:05:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -7.94-6.72 = 1.95y strategic 1 OK clt -7.94-6.72 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:05:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK -14.66 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -14.66 = 1.95y strategic 1 OK divide 1.95 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -14.66/1.95 = 1.95y/1.95 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -14.66/1.95 = y left 1 OK left -7.517 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.25x+(-1.14) = -8.59+9.38x strategic 1 OK add 8.59 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.25x+(-1.14)+8.59 = -8.59+9.38x+8.59 left 1 OK left -4.25x+(-1.14)+8.59 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:06:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.25x-1.14+8.59 = -8.59+9.38x+8.59 right 1 OK right 9.38x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:07:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.25x-1.14+8.59 = 9.38x strategic 1 OK subtract -4.25x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:07:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -4.25x-1.14+8.59-(-4.25x) = 9.38x-(-4.25x) left 1 OK left -1.14+8.59 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:07:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.14+8.59 = 9.38x-(-4.25x) right 1 BUG right 5.13x 5.13x is equal to 9.38x plus -4.25x. You need to calculate 9.38x minus -4.25x. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:07:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.14+8.59 = 9.38x-(-4.25x) right 2 ERROR right -0.453x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.14+8.59 = 9.38x-(-4.25x) right 3 OK right 9.38x-(-4.25x) condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.14+8.59 = 9.38x+4.25x strategic 1 OK clt -1.14+8.59 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 7.45 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.45 = 9.38x+4.25x strategic 1 OK clt 9.38x+4.25x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK 13.63x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.45 = 13.63x strategic 1 OK divide 13.63 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:08:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.45/13.63 = 13.63x/13.63 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 7.45/13.63 = x left 1 OK left 0.546 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.67+(-6.63x) = 8.13x+4.11 strategic 1 OK subtract 4.11 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -9.67+(-6.63x)-4.11 = 8.13x+4.11-4.11 left 1 OK left -13.78+(-6.63x) condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78+(-6.63x) = 8.13x+4.11-4.11 right 1 OK right 8.13x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78+(-6.63x) = 8.13x strategic 1 OK subtract -6.63x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:09:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78+(-6.63x)-(-6.63x) = 8.13x-(-6.63x) left 1 OK left -13.78 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78 = 8.13x-(-6.63x) right 1 OK right 8.13x-(-6.63x) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78 = 8.13x+6.63x strategic 1 OK clt 8.13x+6.63x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 14.76x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78 = 14.76x strategic 1 OK divide 14.76 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78/14.76 = 14.76x/14.76 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:10:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.78/14.76 = x left 1 OK left -0.933 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+7.62 = 3.7+(-5.13y) strategic 1 OK subtract 3.7 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+7.62-3.7 = 3.7+(-5.13y)-3.7 left 1 ERROR left 9.9y+5.5 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+7.62-3.7 = 3.7+(-5.13y)-3.7 left 2 OK left 9.9y+3.92 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+3.92 = 3.7+(-5.13y)-3.7 right 1 OK right -5.13y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+3.92 = -5.13y strategic 1 OK subtract 9.9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.9y+3.92-9.9y = -5.13y-9.9y left 1 OK left 3.92 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:12:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92 = -5.13y-9.9y right 1 OK right -15.03y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:12:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92 = -15.03y strategic 1 OK divide -15.03 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:12:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92/-15.03 = -15.03y/-15.03 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:12:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92/-15.03 = y left 1 BUG left 00.260 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:12:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92/-15.03 = y left 2 BUG left 0.260 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:13:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 3.92/-15.03 = y left 3 OK left -0.260 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:13:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A -1106.83+(-522.56x) = 6447.26+(-302.5x) strategic 1 OK add 1106.83 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:14:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A -522.56x = 7554.09-302.5x strategic 1 OK add 302.5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:14:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62A -220.06x = 7554.09 strategic 1 OK divide -220.06 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:14:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -46.22y+63.99 = 17.25+(-35.17y) strategic 1 OK subtract 63.99 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:14:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -46.22y = -46.74-35.17y strategic 1 ERROR subtract 35.17y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:14:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -46.22y = -46.74-35.17y strategic 2 OK subtract -35.17y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -11.05y = -46.74 strategic 1 OK divide -11.05 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 898.29y+(-4342.7) = 6021.69+87.11y strategic 1 OK add 4342.7 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 898.29y = 10364.39+87.11y strategic 1 OK subtract 87.11y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 811.18y = 10364.39 strategic 1 OK divide 811.18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 929.18x+3005.82 = 956.05x+(-7364.13) strategic 1 OK subtract 3005.82 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:15:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A 929.18x = 956.05x-10369.95 strategic 1 OK subtract 956.05x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62A -26.87x = -10369.95 strategic 1 OK divide -26.87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -55.56+(-8.39y) = -19.97+(-8.02y) strategic 1 OK add 55.56 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -8.39y = 35.59-8.02y strategic 1 OK subtract -8.02y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9 EG62 -0.37y = 35.59 strategic 1 OK divide -0.37 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 895.95x+(-848.73) = 314.16x+(-1021.4) strategic 1 OK add 848.73 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:16:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 895.95x+(-848.73)+848.73 = 314.16x+(-1021.4)+848.73 left 1 OK left 895.95x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:17:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 895.95x = 314.16x+(-1021.4)+848.73 right 1 OK right 314.16x+-172.67 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:17:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 895.95x = 314.16x+(-172.67) strategic 1 OK subtract 314.16x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:18:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 895.95x-314.16x = 314.16x+(-172.67)-314.16x left 1 OK left 581.79x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:18:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 581.79x = 314.16x+(-172.67)-314.16x right 1 OK right -172.67 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:18:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 581.79x = -172.67 strategic 1 OK divide 581.79 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:18:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 581.79x/581.79 = -172.67/581.79 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:18:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A x = -172.67/581.79 right 1 OK right -0.296 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:19:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y+(-2.52) = 63.76y+(-34.94) strategic 1 OK add 2.52 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:19:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y+(-2.52)+2.52 = 63.76y+(-34.94)+2.52 left 1 OK left -14.44y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:19:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y = 63.76y+(-34.94)+2.52 right 1 ERROR right 63.76y+-32.43 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:19:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y = 63.76y+(-34.94)+2.52 right 2 ERROR right 63.76y+-(-34.94)+2.52 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:20:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y = 63.76y+(-34.94)+2.52 right 3 OK right 63.76y+(-34.94)+2.52 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:20:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y = 63.76y-34.94+2.52 strategic 1 OK subtract 63.76y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:21:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -14.44y-63.76y = 63.76y-34.94+2.52-63.76y left 1 OK left -78.2y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:21:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -78.2y = 63.76y-34.94+2.52-63.76y right 1 BUG right -32.42 Just subtract 63.76y from 63.76y-34.94+2.52. You can simplify in the next step. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:21:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -78.2y = 63.76y-34.94+2.52-63.76y right 2 OK right -34.94+2.52 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:21:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -78.2y = -34.94+2.52 strategic 1 OK clt -34.94+2.52 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK -32.42 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -78.2y = -32.42 strategic 1 OK divide -78.2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -78.2y/-78.2 = -32.42/-78.2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 y = -32.42/-78.2 right 1 OK right 0.414 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y+73.6 = -14.17+(-63.63y) strategic 1 OK subtract 73.6 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:22:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y+73.6-73.6 = -14.17+(-63.63y)-73.6 left 1 OK left 90.95y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:23:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y = -14.17+(-63.63y)-73.6 right 1 BUG right 59.43+(-63.63y) 59.43+[-63.63y] is equal to -14.17+[-63.63y] plus 73.6. You need to calculate -14.17+[-63.63y] minus 73.6. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:23:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y = -14.17+(-63.63y)-73.6 right 2 OK right -14.17+(-63.63y)-73.6 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:23:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y = -14.17-63.63y-73.6 strategic 1 BUG subtract 63.63y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:23:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y = -14.17-63.63y-73.6 strategic 2 OK add 63.63y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y+63.63y = -14.17-63.63y-73.6+63.63y left 1 ERROR left 154.48y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 90.95y+63.63y = -14.17-63.63y-73.6+63.63y left 2 OK left 154.58y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 154.58y = -14.17-63.63y-73.6+63.63y right 1 OK right -14.17-73.6 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 154.58y = -14.17-73.6 strategic 1 OK clt -14.17-73.6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK -87.77 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 154.58y = -87.77 strategic 1 OK divide 154.58 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:24:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 154.58y/154.58 = -87.77/154.58 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:25:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 y = -87.77/154.58 right 1 OK right -0.567 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:25:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 369.48y+(-4144.38) = -892.63+(-33.82y) strategic 1 OK add 4144.38 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:25:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 369.48y+(-4144.38)+4144.38 = -892.63+(-33.82y)+4144.38 left 1 OK left 369.48y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:25:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 369.48y = -892.63+(-33.82y)+4144.38 right 1 OK right -892.63+(-33.82y)+4144.38 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:26:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 369.48y = -892.63-33.82y+4144.38 strategic 1 OK add 33.82y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:26:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 369.48y+33.82y = -892.63-33.82y+4144.38+33.82y left 1 OK left 403.3y condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:26:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 403.3y = -892.63-33.82y+4144.38+33.82y right 1 OK right -892.63+4144.38 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:26:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 403.3y = -892.63+4144.38 strategic 1 OK clt -892.63+4144.38 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A FinalAnswer strategic 1 OK 3251.75 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 403.3y = 3251.75 strategic 1 OK divide 403.3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A 403.3y/403.3 = 3251.75/403.3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62A y = 3251.75/403.3 right 1 OK right 8.062 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x+95.04 = 42.94x+(-77.48) strategic 1 OK subtract 95.04 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x+95.04-95.04 = 42.94x+(-77.48)-95.04 left 1 OK left -33.78x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:27:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x = 42.94x+(-77.48)-95.04 right 1 OK right 42.94x+(-77.48)-95.04 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:28:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x = 42.94x-77.48-95.04 strategic 1 OK subtract 42.94x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:28:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x-42.94x = 42.94x-77.48-95.04-42.94x left 1 ERROR left -76.71x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:28:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x-42.94x = 42.94x-77.48-95.04-42.94x left 2 OK left -33.78x-42.94x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x-42.94x = 42.94x-77.48-95.04-42.94x right 1 OK right -77.48-95.04 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -33.78x-42.94x = -77.48-95.04 strategic 1 OK clt -33.78x-42.94x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 ERROR -9.16x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 2 ERROR -76-72x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 3 OK -76.72x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:29:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -76.72x = -77.48-95.04 strategic 1 OK clt -77.48-95.04 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:30:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 4 ERROR -17.56 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:30:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 5 ERROR -172.56 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 6 OK -172.52 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -76.72x = -172.52 strategic 1 OK divide -76.72 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -76.72x/-76.72 = -172.52/-76.72 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = -172.52/-76.72 right 1 OK right 2.248 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 85.22+(-37.54x) = 92.56+(-3.26x) strategic 1 OK subtract 85.22 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 85.22+(-37.54x)-85.22 = 92.56+(-3.26x)-85.22 left 1 OK left -37.54x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:31:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x = 92.56+(-3.26x)-85.22 right 1 OK right 7.34+-3.26x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x = 7.34+(-3.26x) strategic 1 ERROR subtract 3.26x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x = 7.34+(-3.26x) strategic 2 ERROR add -3.26x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x = 7.34+(-3.26x) strategic 3 OK subtract -3.26x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x-(-3.26x) = 7.34+(-3.26x)-(-3.26x) right 1 OK right 7.34 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x-(-3.26x) = 7.34 left 1 ERROR left 4-.8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:32:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x-(-3.26x) = 7.34 left 2 BUG left 40.8x 40.8x is equal to 37.54x minus -3.26x. You need to calculate -37.54x minus -3.26x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x-(-3.26x) = 7.34 left 3 OK left -37.54x-(-3.26x) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -37.54x+3.26x = 7.34 strategic 1 OK clt -37.54x+3.26x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK -34.28x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.28x = 7.34 strategic 1 BUG divide -34.28x Dividing anything by itself will leave 1. If you divide -34.28x by -34.28, x will be left. Erase your last step and then divide by -34.28. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.28x = 7.34 strategic 2 OK divide -34.28 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -34.28x/-34.28 = 7.34/-34.28 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:34:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = 7.34/-34.28 right 1 ERROR right -0.124 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:34:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = 7.34/-34.28 right 2 OK right -0.214 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:34:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x+28.81 = -73.69x+20.69 strategic 1 OK subtract 28.81 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:34:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x+28.81-28.81 = -73.69x+20.69-28.81 left 1 OK left 29.31x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:35:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x = -73.69x+20.69-28.81 right 1 OK right -73.69x+-8.12 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:35:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x = -73.69x+(-8.12) strategic 1 ERROR add -73.69x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:35:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x = -73.69x+(-8.12) strategic 2 OK subtract -73.69x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:35:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x-(-73.69x) = -73.69x+(-8.12)-(-73.69x) left 1 BUG left 44.38x 44.38x is equal to -29.31x minus -73.69x. You need to calculate 29.31x minus -73.69x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x-(-73.69x) = -73.69x+(-8.12)-(-73.69x) left 2 BUG left -44.38x -44.38x is equal to 29.31x plus -73.69x. You need to calculate 29.31x minus -73.69x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x-(-73.69x) = -73.69x+(-8.12)-(-73.69x) right 1 OK right -8.12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x-(-73.69x) = -8.12 left 1 OK left 29.31x-(-73.69x) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 29.31x+73.69x = -8.12 strategic 1 OK clt 29.31x+73.69x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK 103x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 103x = -8.12 strategic 1 OK divide 103 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:36:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 103x/103 = -8.12/103 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:37:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = -8.12/103 right 1 OK right -0.078 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:37:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 14.29+(-16.02x) = 31.07x+75.68 strategic 1 OK subtract 14.29 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:37:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 14.29+(-16.02x)-14.29 = 31.07x+75.68-14.29 left 1 OK left -16.02x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:37:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -16.02x = 31.07x+75.68-14.29 right 1 OK right 31.07x+61.39 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -16.02x = 31.07x+61.39 strategic 1 OK subtract 31.07x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -16.02x-31.07x = 31.07x+61.39-31.07x left 1 OK left -16.02x-31.07x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -16.02x-31.07x = 31.07x+61.39-31.07x right 1 OK right 61.39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -16.02x-31.07x = 61.39 strategic 1 OK clt -16.02x-31.07x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK -47.09x condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -47.09x = 61.39 strategic 1 OK divide -47.09 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:38:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -47.09x/-47.09 = 61.39/-47.09 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session0 2007-04-27 09:39:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = 61.39/-47.09 right 1 OK right -1.303 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -90.31+(-58.4x) = 58.88+(-9.98x) strategic 1 OK add 90.31 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -90.31+(-58.4x)+90.31 = 58.88+(-9.98x)+90.31 left 1 OK left -58.4x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -58.4x = 58.88+(-9.98x)+90.31 right 1 OK right 58.88+(-9.98x)+90.31 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -58.4x = 58.88-9.98x+90.31 strategic 1 BUG subtract 9.98x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:48.0 HINT HINT HW_CONDN2 HW_CONDN2-10 EG62 -58.4x = 58.88-9.98x+90.31 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:49.0 HINT HINT HW_CONDN2 HW_CONDN2-10 EG62 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -58.4x = 58.88-9.98x+90.31 strategic 3 OK clt 58.88-9.98x+90.31 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x1R1 strategic 1 BUG 58.88 58.88
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 58.88, is not one of the x terms. BUG condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 constant terms1R1 strategic 1 OK 58.88 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:26:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x1R1 strategic 2 OK -9.98x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:27:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 constant terms2R1 strategic 1 OK +90.31 condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:27:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 xR2 strategic 1 OK -9.98x condition 2 cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:27:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 constant termsR2 strategic 1 OK 149.19 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:27:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 FinalAnswer strategic 1 OK -9.98x+149.19 condition 2 combine-like-terms-sp cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:27:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -58.4x = -9.98x+149.19 strategic 1 OK add 9.98x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:28:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -58.4x+9.98x = -9.98x+149.19+9.98x left 1 OK left -48.42x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:28:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -48.42x = -9.98x+149.19+9.98x right 1 OK right 149.19 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:28:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -48.42x = 149.19 strategic 1 OK divide -48.42 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:28:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 -48.42x/-48.42 = 149.19/-48.42 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zt5vuLM session1 2007-05-04 08:28:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-10 EG62 x = 149.19/-48.42 right 1 OK right -3.0811 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] cwctc 247s1e7g2s--2--Alg I zy490Z3 session2 2007-04-17 12:00:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:01:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 BUG divide 1144 In this equation, y is multiplied by -1144. Dividing by 1144 leaves -y, so you still need to remove the negative sign. It is better to divide by -1144, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:01:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 2 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:01:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 14.28 = -11.3y+(-0.23) strategic 1 OK add 0.23 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:02:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42B 14.51 = -11.3y strategic 1 OK divide -11.3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:02:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 6733 = -1159+1515y strategic 1 OK add 1159 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:02:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43A 7892 = 1515y strategic 1 OK divide 1515 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:03:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 85 = -78y+(-13) strategic 1 ERROR subtract 40 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:03:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 85 = -78y+(-13) strategic 2 ERROR divide -13 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:04:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 85 = -78y+(-13) strategic 3 OK subtract -13 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:04:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 98 = -78y strategic 1 OK divide -78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:04:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -8.97 = 0.93+(-10.96y) strategic 1 OK subtract 0.93 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:04:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -9.9 = -10.96y strategic 1 ERROR divide -10.98 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:04:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42B -9.9 = -10.96y strategic 2 OK divide -10.96 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:05:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 362+9185x = -1077 strategic 1 OK subtract 362 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:05:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 9185x = -1439 strategic 1 BUG divide -1439 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:05:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 9185x = -1439 strategic 2 BUG divide -1439 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:05:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 9185x = -1439 strategic 3 OK divide 9185 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:06:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -76.73y+93.53 = 23.12 strategic 1 OK subtract 93.53 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:06:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -76.73y = -70.41 strategic 1 OK divide -76.73 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:06:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8250y+(-7598) = -1911 strategic 1 OK subtract -7598 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:06:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A -8250y = 5687 strategic 1 OK divide -8250 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:07:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A 12.4+(-9.98x) = -14.76 strategic 1 OK subtract 12.4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:07:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -9.98x = -27.16 strategic 1 OK divide -9.98 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:07:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y+(-5.91) = 14.86 strategic 1 OK subtract -5.91 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:07:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y+(-5.91)-(-5.91) = 14.86-(-5.91) left 1 OK left -11.13y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:08:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y = 14.86-(-5.91) right 1 OK right 20.77 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:08:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y = 20.77 strategic 1 ERROR divide y condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:08:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y = 20.77 strategic 2 OK divide -11.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:08:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -11.13y/-11.13 = 20.77/-11.13 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B y = 20.77/-11.13 right 1 OK right -1.866 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 10+78x = 91 strategic 1 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 10+78x-10 = 91-10 left 1 OK left 78x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 78x = 91-10 right 1 OK right 81 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 78x = 81 strategic 1 OK divide 78 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:09:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 78x/78 = 81/78 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:10:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 x = 81/78 right 1 OK right 1.0384 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:10:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -3997y+6853 = -2961 strategic 1 OK subtract 6853 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:10:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -3997y+6853-6853 = -2961-6853 left 1 OK left -3997y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:11:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -3997y = -2961-6853 right 1 OK right -9814 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:11:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -3997y = -9814 strategic 1 OK divide -3997 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:11:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A -3997y/-3997 = -9814/-3997 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:12:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43A y = -9814/-3997 right 1 OK right 2.4553 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:12:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 86 = 367+115/y strategic 1 OK subtract 367 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:12:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -281 = 115/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:12:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -281y = 115 strategic 1 OK divide -281 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 11 = 13+(-708/y) strategic 1 OK subtract 13 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -2 = -708/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -2y = -708 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 96 = 7+6/x strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 89 = 6/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:13:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 89x = 6 strategic 1 OK divide 89 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:14:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A 287 = 852+541/x strategic 1 OK subtract 852 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -565 = 541/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:14:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -565x = 541 strategic 1 OK divide -565 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -518+(-134/x) = 729 strategic 1 OK subtract -518 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -518+(-134/x)-(-518) = 729-(-518) left 1 OK left -134/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/x = 729-(-518) right 1 BUG right 729 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/x = 729-(-518) right 2 OK right 1247 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/x = 1247 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/x*x = 1247x left 1 OK left -134 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:15:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134 = 1247x right 1 OK right 1247x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:16:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134 = 1247x strategic 1 OK divide 1247 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:16:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/1247 = 1247x/1247 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:16:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -134/1247 = x left 1 OK left -0.107 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:16:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -13 = 43+(-5/x) strategic 1 OK subtract 43 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -13-43 = 43+(-5/x)-43 left 1 BUG left -13 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -13-43 = 43+(-5/x)-43 left 2 OK left -56 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56 = 43+(-5/x)-43 right 1 OK right -5/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56 = -5/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56x = -5/x*x left 1 OK left -56x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:17:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56x = -5/x*x right 1 OK right -5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:18:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56x = -5 strategic 1 OK divide -56 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:18:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -56x/-56 = -5/-56 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:18:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -5/-56 right 1 OK right 0.089 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:18:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -611 = 675/x+(-110) strategic 1 OK subtract -110 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:18:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -611-(-110) = 675/x+(-110)-(-110) right 1 OK right 675/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -611-(-110) = 675/x left 1 OK left -501 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -501 = 675/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -501x = 675/x*x right 1 OK right 675 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -501x = 675 left 1 OK left -501x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -501x = 675 strategic 1 OK divide -501 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A -501x/-501 = 675/-501 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:19:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A x = 675/-501 right 1 OK right -1.3473 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:20:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 -5+7y = -8+7y strategic 1 OK add 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:20:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 7y = -3+7y strategic 1 OK subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:21:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x+(-2) = 3+9x strategic 1 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:21:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x+(-2) = 3+9x strategic 2 OK subtract -2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:22:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = 5+9x strategic 1 ERROR add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:22:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = 5+9x strategic 2 ERROR add 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:22:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 3x = 5+9x strategic 3 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:23:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x = 5 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:23:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5+5x = 0+(-9x) strategic 1 OK subtract -5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:24:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = -9x+5 strategic 1 ERROR subtract -9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:24:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = -9x+5 strategic 2 ERROR add -9 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:24:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = -9x+5 strategic 3 ERROR add -9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:24:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 5x = -9x+5 strategic 4 OK subtract -9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:24:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 14x = 5 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+(-7y) = 5y+(-2) strategic 1 BUG add -6 To remove -6 from the left side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6+(-7y) = 5y+(-2) strategic 2 OK subtract -6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = 5y+4 strategic 1 ERROR subtract -7 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = 5y+4 strategic 2 ERROR add -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = 5y+4 strategic 3 ERROR add -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7y = 5y+4 strategic 4 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:25:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -12y = 4 strategic 1 OK divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:26:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7x+(-2) = -1+7x strategic 1 OK subtract -2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:26:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -7x = 1+7x strategic 1 OK subtract 7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:26:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -14x = 1 strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:27:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x+5 = 9x+9 strategic 1 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:27:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 9x = 9x+4 strategic 1 OK subtract 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:27:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y+6 = 7+3y strategic 1 OK subtract 6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:27:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -3y = 1+3y strategic 1 OK subtract 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:27:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6y = 1 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:28:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x+(-2) = 6x+(-1) strategic 1 OK subtract -2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:28:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x+(-2)-(-2) = 6x+(-1)-(-2) left 1 OK left -1x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:28:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 6x+(-1)-(-2) right 1 OK right 6x+1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:28:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 6x+1 strategic 1 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:29:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x-6x = 6x+1-6x left 1 OK left -1x-6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:29:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x-6x = 6x+1-6x right 1 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:31:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x = 6x+1 strategic 2 OK subtract 6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:31:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1x-6x = 6x+1-6x left 2 OK left -7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 6x+1-6x right 1 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:31:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x = 1 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7x/-7 = 1/-7 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:32:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 1/-7 right 1 OK right -0.142 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:32:19.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 x = -0.14285714 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:32:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Select 'Classify Solution: Unique Solution'. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+(-9x) = -3+5x strategic 1 OK subtract -1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:32:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1+(-9x)-(-1) = -3+5x-(-1) left 1 OK left -9x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = -3+5x-(-1) right 1 ERROR right -3+6x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = -3+5x-(-1) right 2 OK right -2+5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x = -2+5x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9x-5x = -2+5x-5x left 1 OK left -14x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14x = -2+5x-5x right 1 BUG right 2 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14x = -2+5x-5x right 2 OK right -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14x = -2 strategic 1 OK divide -14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -14x/-14 = -2/-14 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:35:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -2/-14 right 1 OK right 0.1428 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+5y = 9+5y strategic 1 OK subtract -3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:35:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+5y-(-3) = 9+5y-(-3) left 1 OK left 5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:36:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y = 9+5y-(-3) right 1 OK right 12+5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:36:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y = 12+5y strategic 1 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:36:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-5y = 12+5y-5y left 1 BUG left 10y 10y is equal to 5y plus 5y. You need to calculate 5y minus 5y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:37:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-5y = 12+5y-5y left 2 ERROR left y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:37:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-5y = 12+5y-5y left 3 OK left 0y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:38:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 12+5y-5y right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 12 strategic 1 ERROR rds 0y = 12 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:27.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 12 strategic 2 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:29.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 12 strategic 3 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:39:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK (0)*(y) condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:12.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 12 strategic 4 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:13.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 12 strategic 5 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 2 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:40:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK (0)*(y) condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:43:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+5y = 9+5y strategic 2 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:43:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+5y+3 = 9+5y+3 left 1 OK left 5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:43:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y = 9+5y+3 right 1 OK right 12+5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:43:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y = 12+5y strategic 2 OK subtract 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5y-5y = 12+5y-5y left 4 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 12+5y-5y right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-3x) = 9+(-6x) strategic 1 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-3x)+3 = 9+(-6x)+3 left 1 OK left -3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 9+(-6x)+3 right 1 OK right 12+-6x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:44:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x = 12+(-6x) strategic 1 OK subtract -6x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3x-(-6x) = 12+(-6x)-(-6x) left 1 OK left 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = 12+(-6x)-(-6x) right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x = 12 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 3x/3 = 12/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/3 right 1 OK right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5+(-4y) = 8y+(-9) strategic 1 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:45:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 5+(-4y)-5 = 8y+(-9)-5 left 1 OK left -4y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session2 2007-04-17 12:46:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = 8y+(-9)-5 right 1 OK right 8y+-14 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:57:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 7+3x = 3+6x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:57:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 3x to the right side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+3x = 3+6x strategic 2 OK subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7+3x-3x = 3+6x-3x left 1 OK left 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 3+6x-3x right 1 OK right 3+3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7 = 3+3x strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-3 = 3+3x-3 right 1 OK right 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7-3 = 3x left 1 OK left 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:58:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4 = 3x strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:59:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4/3 = 3x/3 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:59:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4/3 = x left 1 OK left 1.33333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 11:59:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y+(-1) = 3+(-9y) strategic 1 ERROR distribute 10y+(-1) = 3+(-9y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y+(-1) = 3+(-9y) strategic 2 OK rds 10y+(-1) = 3+(-9y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 1 OK subtract 10y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1-10y = 3-9y-10y left 1 OK left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 3-9y-10y right 1 ERROR right -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 3-9y-10y right 2 ERROR right 3-1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:52.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -1 = 3-9y-10y strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:00:53.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in 3-9y-10y on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 3-9y-10y right 3 OK right 3-9y-10y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -1 = 3-9y-10y strategic 2 OK clt 3-9y-10y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK -9y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 1 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 1 BUG -10y -10y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -10y, is not one of the constant terms. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant terms1R1 strategic 2 OK 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y2R1 strategic 2 OK -10y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 ERROR -19 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:58.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:01:59.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Move 9y to the left side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:02:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 3 OK subtract 9y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:02:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1-9y = 3-9y-9y right 1 BUG right 3 3 is equal to 3-9y plus 9y. You need to calculate 3-9y minus 9y. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:02:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1-9y = 3-9y-9y right 2 ERROR right 3y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y+(-1) = 3+(-9y) strategic 3 OK rds 10y+(-1) = 3+(-9y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 4 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 5 OK subtract 9y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 10y-1-9y = 3-9y-9y strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in 10y-1-9y on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1-9y = 3-9y-9y left 1 OK left 1y-1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:03:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y-1 = 3-9y-9y right 1 BUG right -3 -3 is equal to -3+9y minus 9y. You need to calculate 3-9y minus 9y. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:04:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y-1 = 3-9y-9y right 2 ERROR right -6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:04:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y-1 = 3-9y-9y right 3 ERROR right -15 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:04:45.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 1y-1 = 3-9y-9y strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:04:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Type in 3-9y-9y on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:06:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1y-1 = 3-9y-9y right 4 ERROR right -6y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 6 ERROR clt 10y-1 = 3-9y strategic condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1 = 3-9y strategic 7 OK add 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y-1+1 = 3-9y+1 left 1 OK left 10y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = 3-9y+1 right 1 OK right 4-9y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = 4-9y strategic 1 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y+9y = 4-9y+9y left 1 OK left 19y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:08:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 19y = 4-9y+9y right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:09:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 19y = 4 strategic 1 BUG divide 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:09:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 19y = 4 strategic 2 OK divide 19 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:09:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 19y/19 = 4/19 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:09:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/19 right 1 OK right 0.210 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:10:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+2y = 9y+0 strategic 1 OK subtract -9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:10:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -9+2y-(-9) = 9y+0-(-9) left 1 OK left 2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:10:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+0-(-9) right 1 BUG right 9y-9 9y-9 is equal to 9y+0 plus -9. You need to calculate 9y+0 minus -9. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:10:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+0-(-9) right 2 OK right 9y+9 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+9 strategic 1 ERROR add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+9 strategic 2 ERROR add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:42.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+9 strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 9y to the left side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 9y+9 strategic 4 OK subtract 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:11:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9y+9-9y left 1 OK left 2y-9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9y+9-9y right 1 OK right 9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9 strategic 1 ERROR distribute 2y-9y = 9 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:26.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9 strategic 2 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9 strategic 3 ERROR rds 2y-9y = 9 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:35.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9 strategic 4 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y-9y = 9 strategic 5 OK clt 2y-9y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:12:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -7y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:13:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 9 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:13:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y/-7 = 9/-7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:13:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 9/-7 right 1 OK right -1.2857 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:14:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+(-3y) = -9y+(-7) strategic 1 OK rds -5+(-3y) = -9y+(-7) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:14:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5-3y = -9y-7 strategic 1 BUG add -5 To remove -5 from the left side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:14:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5-3y = -9y-7 strategic 2 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:14:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5-3y+3y = -9y-7+3y left 1 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:15:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -9y-7+3y right 1 ERROR right -9y-10y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:15:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -9y-7+3y right 2 OK right -6y-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:16:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5 = -6y-7 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:16:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+7 = -6y-7+7 right 1 OK right -6y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:16:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5+7 = -6y left 1 OK left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:16:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2 = -6y strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:16:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2/-6 = -6y/-6 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:17:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2/-6 = y left 1 OK left -0.33333 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:17:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-5x) = -9+5x strategic 1 OK rds -3+(-5x) = -9+5x strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:17:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x = -9+5x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:17:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9+5x-5x left 1 BUG left -3 -3 is equal to -3-5x plus 5x. You need to calculate -3-5x minus 5x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:18:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x = -9+5x strategic 2 OK add 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:18:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x+5x = -9+5x+5x left 1 OK left -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:18:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3 = -9+5x+5x right 1 ERROR right -9+-4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:19:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3 = -9+5x+5x right 2 ERROR right -9+1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:19:24.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -3-5x = -9+5x strategic 3 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:19:25.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 5x to the left side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:19:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x = -9+5x strategic 4 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:19:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9+5x-5x left 2 ERROR left -8-5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:20:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9+5x-5x right 1 OK right -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:20:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9 left 1 ERROR left -8x-5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:20:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:20:36.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Type in -3-5x-5x on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:20:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9 left 2 BUG left -3-5x You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:21:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9 left 3 OK left -3-5x-5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:21:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x-5x = -9 strategic 2 OK clt -3-5x-5x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:24:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3+(-5x) = -9+5x strategic 2 OK rds -3+(-5x) = -9+5x strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:24:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x = -9+5x strategic 5 OK add 3 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:24:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3-5x+3 = -9+5x+3 left 1 OK left -5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = -9+5x+3 right 1 OK right -6+5x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x = -6+5x strategic 1 OK subtract 5x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x-5x = -6+5x-5x right 1 OK right -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x-5x = -6 left 1 OK left -5x-5x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -5x-5x = -6 strategic 1 OK clt -5x-5x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:25:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -10x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x = -6 strategic 1 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:26:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x/-10 = -6/-10 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:26:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -6/-10 right 1 OK right 0.6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:27:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+2y = -1+(-8y) strategic 1 OK rds 2+2y = -1+(-8y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+2y = -1-8y strategic 1 OK subtract 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:28:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2+2y-2 = -1-8y-2 left 1 OK left 2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:28:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -1-8y-2 right 1 BUG right 1-8y 1-8y is equal to -1-8y plus 2. You need to calculate -1-8y minus 2. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:29:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -1-8y-2 right 2 OK right -3-8y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -3-8y strategic 1 OK add 8y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+8y = -3-8y+8y right 1 OK right -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+8y = -3 left 1 OK left 2y+8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y+8y = -3 strategic 1 OK clt 2y+8y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 10y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y = -3 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10y/10 = -3/10 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:30:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -3/10 right 1 OK right -0.3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:31:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8+(-10x) = 4+(-4x) strategic 1 OK rds -8+(-10x) = 4+(-4x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:31:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-10x = 4-4x strategic 1 BUG add -8 To remove -8 from the left side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:31:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-10x = 4-4x strategic 2 OK subtract -8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -8-10x-(-8) = 4-4x-(-8) left 1 OK left -10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x = 4-4x-(-8) right 1 OK right 12-4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x = 12-4x strategic 1 OK add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x+4x = 12-4x+4x right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x+4x = 12 left 1 OK left -10x+4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -10x+4x = 12 strategic 1 OK clt -10x+4x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:32:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK -6x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:33:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x = 12 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:33:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6x/-6 = 12/-6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:33:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 12/-6 right 1 OK right -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:33:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x = 1+2x strategic 1 OK subtract 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:33:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 1+4x-1 = 1+2x-1 left 1 OK left 4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 1+2x-1 right 1 BUG right 2+2x 2+2x is equal to 1+2x plus 1. You need to calculate 1+2x minus 1. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 1+2x-1 right 2 OK right 0+2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 0+2x strategic 1 OK unnec-elems 4x=0+2x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:43.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 4x = 2x strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:44.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Move 2x to the left side. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x = 2x strategic 2 OK subtract 2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:35:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x-2x = 2x-2x right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 4x-2x = 0 left 1 OK left 2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x = 0 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2x/2 = 0/2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 0/2 right 1 OK right 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+7 = -2x+(-6) strategic 1 OK rds 10x+7 = -2x+(-6) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+7 = -2x-6 strategic 1 OK subtract 7 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x+7-7 = -2x-6-7 left 1 OK left 10x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:37:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 right 1 ERROR right -9-6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:37:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 right 2 ERROR right -9x-6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:38:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 right 3 ERROR right -5x-6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:38:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 right 4 ERROR right -9x-6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:39:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:39:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Type in -2x-6-7 on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:41:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-6-7 right 5 OK right -2x-13 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-13 strategic 1 ERROR subtract -2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-13 strategic 2 ERROR add -2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = -2x-13 strategic 3 OK subtract -2x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x-(-2x) = -2x-13-(-2x) right 1 BUG right 13 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x-(-2x) = -2x-13-(-2x) right 2 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x-(-2x) = -13 left 1 BUG left 10x+-2x 10x+[-2x] is equal to 10x plus -2x. You need to calculate 10x minus -2x. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:42:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x-(-2x) = -13 left 2 OK left 12x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:43:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x = -13 strategic 1 OK divide 12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:43:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 12x/12 = -13/12 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:43:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = -13/12 right 1 OK right -1.0833 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:43:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6+(-7y) strategic 1 OK rds -7y+0 = 6+(-7y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:43:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 1 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:44:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0-0 = 6-7y-0 left 1 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:44:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y-0 right 1 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:44:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 1 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:44:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6-7y+7y left 1 OK left -7y+7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session4 2007-04-19 12:44:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6-7y+7y right 1 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:00:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6 strategic 1 ERROR mt -7y+7y = 6 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:00:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6 strategic 2 OK clt -7y+7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:00:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 ERROR y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 2 OK 0y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:01:50.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:01:51.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:01:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 2 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:01:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:01:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 1 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 3 OK (0y) condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:22.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 3 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:23.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 4 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 2 ERROR 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 2 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 3 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:34.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 2 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 3 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 2 INITIAL_HINT In the group above, you have [y]. Type [y] here. HINT 1 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 3 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:46.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 4 INITIAL_HINT Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:02:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 5 OK 0y condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:07:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6+(-7y) strategic 1 OK rds -7y+0 = 6+(-7y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:07:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 1 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y left 1 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y right 1 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 1 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 right 1 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 left 1 OK left -7y+7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6 strategic 3 OK clt -7y+7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:08:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6+(-7y) strategic 2 OK rds -7y+0 = 6+(-7y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 2 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y left 2 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y right 2 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 2 ERROR add -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 3 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y left 3 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y right 3 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:09:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 3 OK subtract -7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:05.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 3 HINT_LEVEL_CHANGE Type in -7y-(-7y) on the left. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 right 2 BUG right 6-7y You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6+(-7y) strategic 3 OK rds -7y+0 = 6+(-7y) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 4 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y left 4 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y right 4 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 4 ERROR subtract 77 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 5 ERROR subtract 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:10:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+0 = 6-7y strategic 5 OK subtract 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y left 5 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y right 5 OK right 6-7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = 6-7y strategic 6 OK add 7y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 right 3 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0 = 6 left 2 OK left -7y+7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+7y = 6 strategic 4 OK clt -7y+7y condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 6 OK 0y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 5 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 3 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 4 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 4 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 4 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 7 OK (0)*(y) condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:40.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 6 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:41.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 7 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 4 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 5 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 5 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 yR2 strategic 5 OK y condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:12:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 8 ERROR y condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 9 INITIAL_HINT y Above, you have [0]*[y]. Enter that expression, simplify if necessary. HINT 1 condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 10 OK 0y condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:47.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 8 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:49.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 9 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:55.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 5 INITIAL_HINT This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:13:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 6 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:14:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 6 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:14:02.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 6 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:14:06.0 HINT HINT HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 7 INITIAL_HINT In the group above, you have [0]. Type [0] here. HINT 1 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:21:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 0y = 6 strategic 1 OK mt 0y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:21:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factors1R1 strategic 1 OK 0 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:21:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y1R1 strategic 1 OK y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 constant factorsR2 strategic 1 OK 0 condition 2 perform-mult-row2-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 0 condition 2 perform-mult-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+(-1) = 8+(-3x) strategic 1 OK rds 7x+(-1) = 8+(-3x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x-1 = 8-3x strategic 1 OK add 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 9-3x left 1 OK left 7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 9-3x right 1 ERROR right 8-4x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:22:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 9-3x right 2 OK right 9-3x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 9-3x strategic 1 ERROR subtract 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x = 9-3x strategic 2 OK add 3x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 9 right 1 OK right 9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 9 left 1 OK left 7x+3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 7x+3x = 9 strategic 1 OK clt 7x+3x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 FinalAnswer strategic 1 OK 10x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 10x = 9 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 9/10 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:23:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 x = 9/10 right 1 OK right 0.9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:24:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.22y+4.03 = 7.25y+(-4.89) strategic 1 BUG subtract -4.03 To remove 4.03 from the both side, you can subtract a positive from it. Erase your last step and subtract 4.03 from both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:24:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.22y+4.03 = 7.25y+(-4.89) strategic 2 OK subtract 4.03 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:24:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.22y = 7.25y-8.92 strategic 1 ERROR subtract 7.25 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.22y = 7.25y-8.92 strategic 2 ERROR add 7.25 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 1.22y = 7.25y-8.92 strategic 3 OK subtract 7.25y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 -6.03y = -8.92 strategic 1 OK divide -6.03 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.18y+(-4.83) = -4.87y+3.26 strategic 1 OK rds -8.18y+(-4.83) = -4.87y+3.26 strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.18y-4.83 = -4.87y+3.26 strategic 1 OK add 4.83 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.18y = -4.87y+8.09 strategic 1 OK subtract -4.87y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:26:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.31y = 8.09 strategic 1 OK divide -3.31 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.09x+4.76 = 4.67x+(-9.46) strategic 1 OK rds -1.09x+4.76 = 4.67x+(-9.46) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:26:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.09x+4.76 = 4.67x-9.46 strategic 1 OK add 9.46 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:26:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.09x+14.22 = 4.67x strategic 1 OK subtract -1.09x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:26:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 14.22 = 5.76x strategic 1 OK divide 5.76 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:27:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.36x+(-4.95) = 9.52+(-5.82x) strategic 1 OK rds 7.36x+(-4.95) = 9.52+(-5.82x) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:27:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.36x-4.95 = 9.52-5.82x strategic 1 OK add 4.95 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:27:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.36x = 14.47-5.82x strategic 1 OK add 5.82x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:27:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 13.18x = 14.47 strategic 1 OK divide 13.18 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:27:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+2.61 = 7.68x+(-1.91) strategic 1 OK rds 6.72x+2.61 = 7.68x+(-1.91) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:28:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+2.61 = 7.68x-1.91 strategic 1 OK add 1.91 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:28:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+4.52 = 7.68x right 1 OK right 7.68x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:30:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+4.52 = 7.68x left 1 ERROR left 8.63x+2.61 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+4.52 = 7.68x left 2 OK left 6.72x+4.52 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.72x+4.52 = 7.68x strategic 1 OK subtract 6.72x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.52 = 0.96x left 1 OK left 4.52 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.52 = 0.96x right 1 OK right 7.68x-6.72x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.52 = 7.68x-6.72x strategic 1 OK clt 7.68x-6.72x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:31:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 0.96x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:32:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.52 = 0.96x strategic 1 OK divide 0.96 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:32:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.70833333 = x right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:32:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 4.70833333 = x left 1 OK left 4.70833 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:32:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x+5.67 = 9.65x+5.52 strategic 1 OK subtract 5.67 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:32:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x = 9.65x-0.15 left 1 BUG left -3.72 You forgot the x. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:33:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x = 9.65x-0.15 left 2 OK left -3.72x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:33:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x = 9.65x-0.15 right 1 OK right 9.65x+-0.15 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:34:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x = 9.65x-0.15 strategic 1 ERROR subtract 9.65 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:34:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x = 9.65x-0.15 strategic 2 OK subtract 9.65x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:34:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.37x = -0.15 right 1 OK right -0.15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:34:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.37x = -0.15 left 1 OK left -3.72x-9.65x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:35:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -3.72x-9.65x = -0.15 strategic 1 OK clt -3.72x-9.65x condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:35:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 ERROR -13.37 condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:35:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 2 OK -13.37x condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:35:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -13.37x = -0.15 strategic 1 OK divide -13.37 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:35:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 0.01121915 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:36:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = 0.01121915 right 1 OK right 0.011 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:36:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y+3.49 = -1.41y+(-4.27) strategic 1 OK rds 5y+3.49 = -1.41y+(-4.27) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:36:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y+3.49 = -1.41y-4.27 strategic 1 OK subtract 3.49 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:36:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 left 1 OK left 5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:37:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 right 1 BUG right -1.41y-0.78 -1.41y-0.78 is equal to -1.41y-4.27 plus 3.49. You need to calculate -1.41y-4.27 minus 3.49. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:38:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 right 2 ERROR right -4.9y-4.27 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:39:15.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 strategic 1 INITIAL_HINT condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:39:16.0 HINT HINT HW_CONDN2 HW_CONDN2-8 EG61 null strategic 1 HINT_LEVEL_CHANGE Type in -1.41y-4.27-3.49 on the right. HINT 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:39:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 right 3 ERROR right -1.41y-9.17 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:40:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y+3.49 = -1.41y-4.27 strategic 2 OK subtract 3.49 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:40:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 left 2 OK left 5y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:40:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 right 4 OK right -1.41y-7.76 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:40:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 strategic 2 ERROR add -1.41y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:41:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y = -1.41y-7.76 strategic 3 OK subtract -1.41y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:41:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.41y = -7.76 right 1 OK right -7.76 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:41:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.41y = -7.76 left 1 OK left 5y--1.41y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:41:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 5y-(-1.41y) = -7.76 strategic 1 OK clt 5y-(-1.41y) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:42:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 FinalAnswer strategic 1 OK 6.41y condition 2 combine-like-terms-sp wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:42:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 6.41y = -7.76 strategic 1 OK divide 6.41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:42:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -1.21060842 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zy490Z3 session5 2007-04-24 12:42:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = -1.21060842 right 1 OK right -1.210 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:01:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4613 = -1144y-555 strategic 1 OK add 555 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:02:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG5-CONSTANT -4058 = -1144y strategic 1 OK divide -1144 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:02:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 61x+(-70) = -38 strategic 1 OK add 70 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:02:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG43 61x = 32 strategic 1 OK divide 61 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:03:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -12.4x+10.87 = 0.44 strategic 1 OK subtract 10.87 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:03:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1a EG42A -12.4x = -10.43 strategic 1 OK divide -12.4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:04:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 77.19+(-78.7x) = 9.96 strategic 1 OK subtract 77.19 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:04:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42 -78.7x = -67.23 strategic 1 OK divide -78.7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:05:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 4772 = -1658+6228y strategic 1 OK add 1658 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:05:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 6430 = 6228y strategic 1 ERROR divide 62228 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:05:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43A 6430 = 6228y strategic 2 OK divide 6228 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:05:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -12.46 = -9.93y+0.4 strategic 1 OK subtract .4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:06:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG42A -12.86 = -9.93y strategic 1 OK divide -9.93 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:06:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 15y+(-39) = 57 strategic 1 OK add 39 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:06:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-1 EG43 15y = 96 strategic 1 OK divide 15 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:07:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 9.06 = 3.6x+13.82 strategic 1 OK subtract 13.82 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:07:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 9.06-13.82 = 3.6x+13.82-13.82 right 1 OK right 3.6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:07:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A 9.06-13.82 = 3.6x left 1 OK left -4.76 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:07:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -4.76 = 3.6x strategic 1 OK divide 3.6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:07:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -4.76/3.6 = 3.6x/3.6 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:08:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42A -4.76/3.6 = x left 1 OK left -1.322222222 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:08:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -26x+(-35) = 92 strategic 1 OK add 35 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:08:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -26x+(-35)+35 = 92+35 left 1 OK left -26x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:09:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -26x = 92+35 right 1 OK right 127 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:09:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -26x = 127 strategic 1 OK divide -26 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:09:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 -26x/-26 = 127/-26 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:09:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG43 x = 127/-26 right 1 OK right -4.884615385 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:10:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.55+13.85x = -5.84 strategic 1 BUG add -.55 To remove -0.55 from the left side, you can add a positive to it. Erase your last step and add 0.55 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:10:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.55+13.85x = -5.84 strategic 2 OK subtract -.55 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:11:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B -0.55+13.85x-(-0.55) = -5.84-(-0.55) left 1 OK left 13.85x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:11:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.85x = -5.84-(-0.55) right 1 BUG right -6.39 -6.39 is equal to -5.84 plus -0.55. You need to calculate -5.84 minus -0.55. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:12:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.85x = -5.84-(-0.55) right 2 OK right -5.29 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:12:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.85x = -5.29 strategic 1 OK divide 13.85 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:13:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B 13.85x/13.85 = -5.29/13.85 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:13:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-2 EG42B x = -5.29/13.85 right 1 OK right -.381949458 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:14:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A -60+433/x = -38 strategic 1 OK add 60 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 433/x = 22 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:14:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3a EG59A 433 = 22x strategic 1 OK divide 22 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:15:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -82+(-53/x) = 77 strategic 1 BUG subtract 82 Since -82 is negative, you should add to remove it from the left side. Erase your last step and add 82 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:15:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -82+(-53/x) = 77 strategic 2 OK add 82 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:15:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -53/x = 159 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:15:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -53 = 159x strategic 1 OK divide 159 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:16:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -751 = -523+(-706/y) strategic 1 OK add 523 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:16:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -228 = -706/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:16:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59A -228y = -706 strategic 1 OK divide -228 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:17:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -42 = 69/x+75 strategic 1 OK subtract 75 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:17:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -117 = 69/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:17:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -117x = 69 strategic 1 ERROR divide -177 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:17:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-3 EG59 -117x = 69 strategic 2 OK divide -117 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 3 = -64/x+26 strategic 1 OK subtract 26 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 3-26 = -64/x+26-26 right 1 OK right -64/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 3-26 = -64/x left 1 OK left -23 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -23 = -64/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -23x = -64/x*x right 1 OK right -64 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:18:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -23x = -64 left 1 OK left -23x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:19:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -23x = -64 strategic 1 OK divide -23 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:19:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 -23x/-23 = -64/-23 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:19:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59 x = -64/-23 right 1 OK right 2.782608696 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:20:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/x+(-958) = -243 strategic 1 OK add 958 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:20:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/x+(-958)+958 = -243+958 left 1 OK left 408/x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:20:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/x = -243+958 right 1 OK right 715 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/x = 715 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/x*x = 715x left 1 OK left 408 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408 = 715x right 1 OK right 715x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408 = 715x strategic 1 OK divide 715 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/715 = 715x/715 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:21:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 408/715 = x left 1 OK left .570629 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:22:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 245+231/y = -303 strategic 1 OK subtract 245 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:22:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 245+231/y-245 = -303-245 left 1 OK left 231/y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:22:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231/y = -303-245 right 1 OK right -548 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:22:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231/y = -548 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:23:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231/y*y = -548y left 1 OK left 231 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:23:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231 = -548y right 1 OK right -548y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:23:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231 = -548y strategic 1 OK divide -548 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:23:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231/-548 = -548y/-548 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:23:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-4 EG59A 231/-548 = y left 1 OK left -.421532847 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:24:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 9y+(-8) = -5+(-5y) strategic 1 OK add 8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:24:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 9y = 3-5y strategic 1 OK add 5y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:24:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5a EG60 14y = 3 strategic 1 OK divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:24:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 1x+5 = -1x+6 strategic 1 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:25:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 x = -x+1 strategic 1 OK add -x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:25:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -2x+1 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:25:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -(-2x+1)/2 strategic 1 OK multiply 2 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:26:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 0 = -2x+1 strategic 2 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:26:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -1 = -2x strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:26:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2+(-5x) = -4x+10 strategic 1 OK subtract 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:27:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -4x+8 strategic 1 ERROR add -4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:27:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -4x+8 strategic 2 ERROR add -4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:28:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -5x = -4x+8 strategic 3 OK add 4x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:28:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -x = 8 strategic 1 OK divide -1 condition 2 [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:29:02.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x+4 = -8x+2 strategic 1 OK subtract 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:29:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -6x = -8x-2 strategic 1 OK add 8x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:29:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 2x = -2 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:29:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 -4+1x = -9x+4 strategic 1 OK add 4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 x = -9x+8 strategic 1 OK add 9x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-5 EG60 10x = 8 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+1 = -9y+5 strategic 1 OK subtract 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+1-1 = -9y+5-1 left 1 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = -9y+5-1 right 1 OK right -9y+4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:30:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = -9y+4 strategic 1 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:31:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+9y = -9y+4+9y right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:31:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+9y = 4 left 1 OK left 2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:31:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 4 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:31:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y/2 = 4/2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:31:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/2 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:33:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+1 = -9y+5 strategic 2 OK subtract 1 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:33:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+1-1 = -9y+5-1 left 2 OK left -7y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:33:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = -9y+5-1 right 2 OK right -9y+4 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:33:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y = -9y+4 strategic 2 OK add 9y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -7y+9y = -9y+4+9y left 1 OK left 2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = -9y+4+9y right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y = 4 strategic 2 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 2y/2 = 4/2 left 2 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = 4/2 right 2 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y+2 = -3y+(-6) strategic 1 OK subtract 2 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:34:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y+2-2 = -3y+(-6)-2 left 1 OK left -6y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:35:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-6)-2 right 1 OK right -3y+-8 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y = -3y+(-8) strategic 1 OK add 3y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -6y+3y = -3y+(-8)+3y left 1 OK left -3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -3y+(-8)+3y right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y = -8 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -3y/-3 = -8/-3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:36:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -8/-3 right 1 OK right 2.6666666 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:37:46.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+5 = -2y+(-5) strategic 1 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:37:50.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+5-5 = -2y+(-5)-5 left 1 OK left -4y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:38:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 1 BUG right -2y -2y is equal to -2y+[-5] plus 5. You need to calculate -2y+[-5] minus 5. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:38:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 2 ERROR right -12 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:38:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 3 ERROR right -12y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:38:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 4 BUG right -2y-5 You haven't performed any operations. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:39:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 5 OK right -2y+(-5)-5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:39:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y-5-5 strategic 1 OK add 2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:39:59.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+2y = -2y-5-5+2y right 1 OK right -5-5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:40:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+2y = -5-5 left 1 OK left -2y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:40:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -5-5 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:40:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y/-2 = (-5-5)/-2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:40:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 1 ERROR right -2.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:41:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 2 ERROR right -7.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:41:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 3 ERROR right -5-5/-2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:41:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 4 ERROR right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:42:01.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 5 BUG right 5 Just divide -5-5 by -2. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:42:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 6 ERROR right -5-5/-2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:42:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 7 ERROR right -2.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:43:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 8 BUG right 5 Just divide -5-5 by -2. You can simplify in the next step. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:43:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 9 BUG right -5 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:43:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 10 ERROR right 2.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:44:06.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = (-5-5)/-2 right 11 ERROR right -5-5/-2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:45:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+5 = -2y+(-5) strategic 2 OK subtract 5 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:45:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+5-5 = -2y+(-5)-5 left 2 OK left -4y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:46:18.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 6 ERROR right -2y--10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:46:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y+(-5)-5 right 7 OK right -2y-10 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:46:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y = -2y-10 strategic 1 OK add 2y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:46:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -4y+2y = -2y-10+2y left 1 OK left -2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:46:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -2y-10+2y right 1 BUG right 10 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:47:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -2y-10+2y right 2 OK right -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:47:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y = -10 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:47:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 -2y/-2 = -10/-2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session1 2007-04-17 12:47:19.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-6 EG60 y = -10/-2 right 1 OK right 5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 11:58:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.95+0.45y = -3.64y+(-9.69) strategic 1 OK subtract 4.95 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 11:58:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 0.45y = -3.64y-14.64 strategic 1 ERROR add 3.64 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 11:59:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 0.45y = -3.64y-14.64 strategic 2 OK add 3.64y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 11:59:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.09y = -14.64 strategic 1 ERROR clt 4.09y = -14.64 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 11:59:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7a EG61 4.09y = -14.64 strategic 2 OK divide 4.09 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:00:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.86y+5.14 = 4.24y+4.47 strategic 1 OK subtract 5.14 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:00:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.86y = 4.24y-0.67 strategic 1 OK subtract 4.24y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:00:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.1y = -0.67 strategic 1 OK divide -8.1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:01:12.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.92+(-6.92y) = 9.44y+7.99 strategic 1 ERROR add 1.95 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:01:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -1.92+(-6.92y) = 9.44y+7.99 strategic 2 OK add 1.92 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:01:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.92y = 9.44y+9.91 strategic 1 ERROR subtract 9.44 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:02:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.92y = 9.44y+9.91 strategic 2 ERROR add 9.44 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:02:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.92y = 9.44y+9.91 strategic 3 OK subtract 9.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:02:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -16.36y = 9.91 strategic 1 OK divide -16.36 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:06:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.44x+(-3.49) = 4.05+6.35x strategic 1 OK add 3.49 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:07:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4.44x = 7.54+6.35x strategic 1 OK subtract 6.35x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:07:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -10.79x = 7.54 strategic 1 OK divide -10.79 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:07:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.12x+(-8.14) = 8.76+6.95x strategic 1 OK add 8.14 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:09:15.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.12x = 16.9+6.95x strategic 1 ERROR subtract 6.95 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:09:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.12x = 16.9+6.95x strategic 2 OK subtract 6.95x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:09:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -9.07x = 16.9 strategic 1 OK divide -9.07 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:09:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.4x+(-2.6) = -4.73x+1.87 strategic 1 OK add 2.6 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:10:05.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.4x = -4.73x+4.47 strategic 1 ERROR add 4.73 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:10:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.4x = -4.73x+4.47 strategic 2 ERROR subtract 4.73x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:10:24.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 2.4x = -4.73x+4.47 strategic 3 OK add 4.73x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:10:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 7.13x = 4.47 strategic 1 OK divide 7.13 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:12:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.52+(-7.31y) = 2.87+(-5.29y) strategic 1 OK add 3.52 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:12:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.31y = 6.39-5.29y strategic 1 ERROR subtract 5.29y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:12:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.31y = 6.39-5.29y strategic 2 OK add 5.29y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:12:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.02y = 6.39 strategic 1 OK divide -2.02 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:13:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.46+4.72y = -4.99+(-5.44y) strategic 1 BUG subtract 3.46 Since -3.46 is negative, you should add to remove it from the both side. Erase your last step and add 3.46 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:13:29.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -3.46+4.72y = -4.99+(-5.44y) strategic 2 OK add 3.46 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:13:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.72y = -1.53-5.44y strategic 1 ERROR subtract 5.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:13:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.72y = -1.53-5.44y strategic 2 ERROR subtract 5.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.72y = -1.53-5.44y strategic 3 OK add 5.44y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 10.16y = -1.53 strategic 1 OK divide 10.16 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:35.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.66+(-0.41x) = -2.68+(-0.98x) strategic 1 BUG subtract 8.66 Since -8.66 is negative, you should add to remove it from the both side. Erase your last step and add 8.66 to both sides. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -8.66+(-0.41x) = -2.68+(-0.98x) strategic 2 OK add 8.66 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.41x = 5.98-0.98x strategic 1 OK add .98x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:14:54.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 0.57x = 5.98 strategic 1 OK divide .57 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:15:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4y+3.78 = -9.49y+(-7.06) strategic 1 OK subtract 3.78 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:16:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4y = -9.49y-10.84 strategic 1 ERROR add -9.49y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:16:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4y = -9.49y-10.84 strategic 2 ERROR subtract 9.49y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:16:39.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -4y = -9.49y-10.84 strategic 3 OK add 9.49y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:16:47.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 5.49y = -10.84 strategic 1 OK divide 5.49 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:17:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -2.39+(-7.61x) = -1.57x+5.62 strategic 1 OK add 2.39 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:17:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -7.61x = -1.57x+8.01 strategic 1 OK add 1.57x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:17:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -6.04x = 8.01 strategic 1 OK divide -6.04 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:18:00.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.83x+3.46 = 2.89+5.49x strategic 1 OK subtract 3.46 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:18:13.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 4.83x = -0.57+5.49x strategic 1 OK subtract 5.49x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:18:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-7 EG61 -0.66x = -0.57 strategic 1 OK divide -.66 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:19:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44+(-5.14x) = -3.81x+(-4.6) strategic 1 OK subtract .44 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:19:20.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44+(-5.14x)-0.44 = -3.81x+(-4.6)-0.44 left 1 OK left -5.14x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:19:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x+(-4.6)-0.44 right 1 ERROR right -3.81+-5.04 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:21:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x+(-4.6)-0.44 right 2 ERROR right -3.81+(-5.04) condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:26:03.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44+(-5.14x) = -3.81x+(-4.6) strategic 2 OK rds 0.44+(-5.14x) = -3.81x+(-4.6) strategic condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:26:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44-5.14x = -3.81x-4.6 strategic 1 OK subtract .44 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:26:31.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44-5.14x-0.44 = -3.81x-4.6-0.44 left 1 BUG left 5.14x You forgot the negative sign. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:26:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 0.44-5.14x-0.44 = -3.81x-4.6-0.44 left 2 OK left -5.14x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:27:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x-4.6-0.44 right 1 ERROR right -3.81x--5.04 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:28:07.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x-4.6-0.44 right 2 ERROR right -3.81x-(-5.04) condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:29:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x-4.6-0.44 right 3 OK right -3.81x-5.04 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:29:23.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x = -3.81x-5.04 strategic 1 OK add 3.81x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:29:32.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x+3.81x = -3.81x-5.04+3.81x right 1 BUG right 5.04 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:29:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x+3.81x = -3.81x-5.04+3.81x right 2 OK right -5.04 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:30:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.14x+3.81x = -5.04 left 1 OK left -1.33x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:30:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.33x = -5.04 strategic 1 OK divide -1.33 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:30:14.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -1.33x/-1.33 = -5.04/-1.33 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:30:51.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -5.04/-1.33 right 1 OK right 3.78947 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:31:38.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.89+(-5.33y) = 6.38+5.08y strategic 1 OK add 2.89 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:31:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -2.89+(-5.33y)+2.89 = 6.38+5.08y+2.89 left 1 OK left -5.33y condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:32:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.33y = 6.38+5.08y+2.89 right 1 OK right 5.08y+9.27 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:32:58.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.33y = 5.08y+9.27 strategic 1 OK subtract 5.08y condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:33:10.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.33y-5.08y = 5.08y+9.27-5.08y right 1 OK right 9.27 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:33:43.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.33y-5.08y = 9.27 left 1 BUG left -.25y -0.25y is equal to -5.33y plus 5.08y. You need to calculate -5.33y minus 5.08y. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:34:21.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.33y-5.08y = 9.27 left 2 OK left -10.41y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:34:33.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -10.41y = 9.27 strategic 1 OK divide -10.41 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:34:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -10.41y/-10.41 = 9.27/-10.41 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:35:09.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 y = 9.27/-10.41 right 1 OK right -0.890489914 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:35:34.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x+9.26 = 6.47+4.49x strategic 1 OK subtract 9.26 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:35:44.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x+9.26-9.26 = 6.47+4.49x-9.26 left 1 BUG left -6.35 You forgot the x. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:35:55.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x+9.26-9.26 = 6.47+4.49x-9.26 left 2 OK left -6.35x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:37:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x = 6.47+4.49x-9.26 right 1 OK right 4.49x+-2.79 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:37:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x = 4.49x+(-2.79) strategic 1 ERROR subtract 4.49 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:37:48.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x = 4.49x+(-2.79) strategic 2 ERROR add 4.49x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:37:57.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x = 4.49x+(-2.79) strategic 3 OK subtract 4.49x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:38:04.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x-4.49x = 4.49x+(-2.79)-4.49x right 1 OK right -2.79 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:38:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x-4.49x = -2.79 left 1 ERROR left -10.84 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:38:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -6.35x-4.49x = -2.79 left 2 OK left -10.84x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:38:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -10.84x = -2.79 strategic 1 OK divide -10.84 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:38:53.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -10.84x/-10.84 = -2.79/-10.84 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:39:25.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -2.79/-10.84 right 1 OK right .257380074 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:40:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.59+(-5.83x) = -8.7x+6.2 strategic 1 OK subtract 9.59 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:40:42.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.59+(-5.83x)-9.59 = -8.7x+6.2-9.59 left 1 OK left -5.83x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:41:37.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+6.2-9.59 right 1 OK right -8.7x-3.39 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:41:52.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x-3.39 strategic 1 ERROR add -8.7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:42:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x-3.39 strategic 2 ERROR subtract 8.7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:42:28.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.59+(-5.83x) = -8.7x+6.2 strategic 2 OK subtract 9.59 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:42:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.59+(-5.83x)-9.59 = -8.7x+6.2-9.59 left 2 BUG left -5.83 You forgot the x. BUG condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:42:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 9.59+(-5.83x)-9.59 = -8.7x+6.2-9.59 left 3 OK left -5.83x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:43:17.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+6.2-9.59 right 2 ERROR right -8.7+.25738 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:43:30.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+6.2-9.59 right 3 ERROR right -8.7+.257380074 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:43:40.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+6.2-9.59 right 4 ERROR right -8.7x+.257380074 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:44:49.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+6.2-9.59 right 5 OK right -8.7x+-3.39 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:45:11.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+(-3.39) strategic 1 ERROR subtract 8.7x condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:45:26.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x = -8.7x+(-3.39) strategic 2 OK add 8.7x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:45:36.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x+8.7x = -8.7x+(-3.39)+8.7x right 1 OK right -3.39 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:46:08.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 -5.83x+8.7x = -3.39 left 1 OK left 2.87x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:46:16.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.87x = -3.39 strategic 1 OK divide 2.87 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:46:22.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 2.87x/2.87 = -3.39/2.87 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session2 2007-04-19 12:46:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-8 EG61 x = -3.39/2.87 right 1 OK right -1.181184669 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session3 2007-04-24 11:56:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -45.58x+(-82.05) = -20.36x+74.82 strategic 1 OK add 82.05 condition 2 wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session3 2007-04-24 11:56:45.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -45.58x = -20.36x+156.87 strategic 1 OK add 20.36x condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session3 2007-04-24 11:56:56.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -25.22x = 156.87 strategic 1 ERROR clt -25.22x = 156.87 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session3 2007-04-24 11:57:27.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -25.22x = 156.87 strategic 2 ERROR clt -25.22x = 156.87 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I zzH0oV0 session3 2007-04-24 11:57:41.0 CYCLE CYCLE HW_CONDN2 HW_CONDN2-9a EG62 -25.22x = 156.87 strategic 3 OK divide -25.22 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] wilkinsburghs-15221 248e8k0y6y--5--Alg I